{"version":1,"calcs":[{"id":"1031-exchange-timeline","title":"1031 Exchange Timeline","description":"Track critical identification and exchange deadlines for 1031 tax swaps.","category":"real-estate","icon":"calendar","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.060Z"},"rows":[{"text":"saleClosingDate = 0 // day","label":null,"prefix":null,"suffix":"day","section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"identificationPeriodDays = 45 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"exchangePeriodDays = 180 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"identificationDeadline = saleClosingDate + identificationPeriodDays","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":45,"display":"45"},{"text":"exchangeDeadline = saleClosingDate + exchangePeriodDays","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"}]},{"id":"401k-contribution","title":"401k Contribution","description":"Estimate annual 401(k) contributions, employer match, and 30-year growth at 7% return.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.060Z"},"rows":[{"text":"# Salary and Contribution","label":null,"prefix":null,"suffix":null,"section":"Salary and Contribution","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual salary = 80000 // 20k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Salary and Contribution","hidden":false,"hero":false,"slider":{"min":20000,"max":500000,"step":1000},"value":80000,"display":"$80,000.00"},{"text":"contribution percent = 10 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Salary and Contribution","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":10,"display":"10"},{"text":"$employer match percent = 50 // % of your contribution 0..100","label":null,"prefix":"$","suffix":"% of your contribution","section":"Salary and Contribution","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":50,"display":"$50.00"},{"text":"employer match limit = 6 // % of salary 0..15 by 0.5","label":null,"prefix":null,"suffix":"% of salary","section":"Salary and Contribution","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.5},"value":6,"display":"6"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_your_annual_contribution = annual salary * (contribution percent / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":8000,"display":"$8,000.00"},{"text":"_match_threshold = if(contribution percent < employer match limit, contribution percent, employer match limit)","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"$_employer_annual_match = annual salary * (match_threshold / 100) * (employer match percent / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2400,"display":"$2,400.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$total annual contribution = your_annual_contribution + employer_annual_match // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":10400,"display":"$10,400.00"},{"text":"$monthly contribution = total annual contribution / 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":866.6666666666666,"display":"$866.67"},{"text":"percent of salary matched = (employer_annual_match / annual salary) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"$total after 30 years at 7 percent return = total annual contribution * ((1.07^30 - 1) / 0.07)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":982392.1777669319,"display":"$982,392.18"}]},{"id":"__kitchen-sink","title":"Kitchen Sink","description":"Every working decorator + row type — the canonical reference. Visit with ?lab to flip styles and check coverage.","category":"other","icon":"beaker","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.059Z"},"rows":[{"text":"# 1. Hero + suffix","label":null,"prefix":null,"suffix":null,"section":"1. Hero + suffix","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"1. Hero + suffix","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"height = 70 // inches 48..84","label":null,"prefix":null,"suffix":"inches","section":"1. Hero + suffix","hidden":false,"hero":false,"slider":{"min":48,"max":84,"step":1},"value":70,"display":"70"},{"text":"_weight_kg = weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"1. Hero + suffix","hidden":true,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"_height_m = height * 0.0254","label":null,"prefix":null,"suffix":null,"section":"1. Hero + suffix","hidden":true,"hero":false,"slider":null,"value":1.778,"display":"1.778"},{"text":"body mass index = weight_kg / (height_m^2) // @hero @label(BMI) @suffix(kg/m²)","label":"BMI","prefix":null,"suffix":null,"section":"1. Hero + suffix","hidden":false,"hero":true,"slider":null,"value":25.82702471527392,"display":"25.827"},{"text":"# 2. Prefix + suffix","label":null,"prefix":null,"suffix":null,"section":"2. Prefix + suffix","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual income = $80000 // 20k..200k by 1k","label":null,"prefix":"$","suffix":null,"section":"2. Prefix + suffix","hidden":false,"hero":false,"slider":{"min":20000,"max":200000,"step":1000},"value":80000,"display":"$80,000.00"},{"text":"$annual expenses = $45000 // 10k..150k by 1k","label":null,"prefix":"$","suffix":null,"section":"2. Prefix + suffix","hidden":false,"hero":false,"slider":{"min":10000,"max":150000,"step":1000},"value":45000,"display":"$45,000.00"},{"text":"$annual savings = annual_income - annual_expenses","label":null,"prefix":"$","suffix":null,"section":"2. Prefix + suffix","hidden":false,"hero":false,"slider":null,"value":35000,"display":"$35,000.00"},{"text":"# 3. Hidden + advanced","label":null,"prefix":null,"suffix":null,"section":"3. Hidden + advanced","hero":false,"slider":null,"value":null,"display":null},{"text":"$_compound_seed = 100000","label":null,"prefix":"$","suffix":null,"section":"3. Hidden + advanced","hidden":true,"hero":false,"slider":null,"value":100000,"display":"$100,000.00"},{"text":"return rate = 7 // % 1..15 @advanced","label":null,"prefix":null,"suffix":"%","section":"3. Hidden + advanced","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.2},"value":7,"display":"7"},{"text":"years = 30 // 1..50 @advanced","label":null,"prefix":null,"suffix":null,"section":"3. Hidden + advanced","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":30,"display":"30"},{"text":"# 4. Long suffix — phrase","label":null,"prefix":null,"suffix":null,"section":"4. Long suffix — phrase","hero":false,"slider":null,"value":null,"display":null},{"text":"billable rate = 150 // dollars per hour","label":null,"prefix":null,"suffix":"dollars per hour","section":"4. Long suffix — phrase","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"output capacity = 145 // cubic feet per minute","label":null,"prefix":null,"suffix":"cubic feet per minute","section":"4. Long suffix — phrase","hidden":false,"hero":false,"slider":null,"value":145,"display":"145"},{"text":"monthly burn = 28500 // dollars per month","label":null,"prefix":null,"suffix":"dollars per month","section":"4. Long suffix — phrase","hidden":false,"hero":false,"slider":null,"value":28500,"display":"28,500"},{"text":"# 5. Hint-shaped suffix","label":null,"prefix":null,"suffix":null,"section":"5. Hint-shaped suffix","hero":false,"slider":null,"value":null,"display":null},{"text":"sex = 1 // 1 for male, 0 for female","label":null,"prefix":null,"suffix":"1 for male, 0 for female","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"material factor = 0.15 // Hard cheese: 0.1, Soft: 0.2","label":null,"prefix":null,"suffix":"Hard cheese: 0.1, Soft: 0.2","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"scope ratio = 7 // 7:1 is standard for overnight anchoring","label":null,"prefix":null,"suffix":"7:1 is standard for overnight anchoring","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"beam stress = 30000 // psi (steel)","label":null,"prefix":null,"suffix":"psi (steel)","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":30000,"display":"30,000"},{"text":"# 6. Note decorator","label":null,"prefix":null,"suffix":null,"section":"6. Note decorator","hero":false,"slider":null,"value":null,"display":null},{"text":"$shipping cost = 9.99 // @note(Free over $50)","label":null,"prefix":"$","suffix":null,"section":"6. Note decorator","hidden":false,"hero":false,"slider":null,"value":9.99,"display":"$9.99"},{"text":"$tax rate = 8.25 // @suffix(%) @note(Varies by ZIP — verify before checkout)","label":null,"prefix":"$","suffix":null,"section":"6. Note decorator","hidden":false,"hero":false,"slider":null,"value":8.25,"display":"$8.25"},{"text":"# 7. Tooltip","label":null,"prefix":null,"suffix":null,"section":"7. Tooltip","hero":false,"slider":null,"value":null,"display":null},{"text":"sample size = 30 // @tooltip(Larger samples reduce confidence interval width)","label":null,"prefix":null,"suffix":null,"section":"7. Tooltip","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"confidence = 95 // % @tooltip(Standard for academic publication)","label":null,"prefix":null,"suffix":"%","section":"7. Tooltip","hidden":false,"hero":false,"slider":null,"value":95,"display":"95"},{"text":"# 8. Section + nested subsection","label":null,"prefix":null,"suffix":null,"section":"8. Section + nested subsection","hero":false,"slider":null,"value":null,"display":null},{"text":"# Group A — Inputs","label":null,"prefix":null,"suffix":null,"section":"Group A — Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"group_a_input_1 = 10","label":null,"prefix":null,"suffix":null,"section":"Group A — Inputs","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"group_a_input_2 = 20","label":null,"prefix":null,"suffix":null,"section":"Group A — Inputs","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"## Subsection","label":null,"prefix":null,"suffix":null,"section":"Subsection","hero":false,"slider":null,"value":null,"display":null},{"text":"nested_value = group_a_input_1 + group_a_input_2","label":null,"prefix":null,"suffix":null,"section":"Subsection","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# 9. Collapsed section","label":null,"prefix":null,"suffix":null,"section":"9. Collapsed section","hero":false,"slider":null,"value":null,"display":null},{"text":"# Advanced settings @collapsed","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hero":false,"slider":null,"value":null,"display":null},{"text":"fudge factor = 1.05","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hidden":false,"hero":false,"slider":null,"value":1.05,"display":"1.05"},{"text":"overhead = 0.12","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"margin = 0.25","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"# 10. Accent row","label":null,"prefix":null,"suffix":null,"section":"10. Accent row","hero":false,"slider":null,"value":null,"display":null},{"text":"$emergency reserve = 50000 // @accent","label":null,"prefix":"$","suffix":null,"section":"10. Accent row","hidden":false,"hero":false,"slider":null,"value":50000,"display":"$50,000.00"},{"text":"# 11. Readonly","label":null,"prefix":null,"suffix":null,"section":"11. Readonly","hero":false,"slider":null,"value":null,"display":null},{"text":"constant_pi = 3.14159 // @readonly","label":null,"prefix":null,"suffix":null,"section":"11. Readonly","hidden":false,"hero":false,"slider":null,"value":3.14159,"display":"3.1416"},{"text":"# 12. Slider min..max syntax (inline range)","label":null,"prefix":null,"suffix":null,"section":"12. Slider min..max syntax (inline range)","hero":false,"slider":null,"value":null,"display":null},{"text":"slider quick = 50 // 0..100 by 5","label":null,"prefix":null,"suffix":null,"section":"12. Slider min..max syntax (inline range)","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":5},"value":50,"display":"50"},{"text":"slider with units = 250 // ml 0..1k by 25","label":null,"prefix":null,"suffix":"ml","section":"12. Slider min..max syntax (inline range)","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":25},"value":250,"display":"250"},{"text":"# 13. Dropdown","label":null,"prefix":null,"suffix":null,"section":"13. Dropdown","hero":false,"slider":null,"value":null,"display":null},{"text":"plan = {price: 9, name: 'Hobby'} // dropdown({Hobby: {price: 9, name: 'Hobby'}, Pro: {price: 29, name: 'Pro'}, Team: {price: 99, name: 'Team'}})","label":null,"prefix":null,"suffix":null,"section":"13. Dropdown","hidden":false,"hero":false,"slider":null,"value":{"price":9,"name":"Hobby"},"display":null},{"text":"$plan price = plan.price // @label(Selected price) @prefix($)","label":"Selected price","prefix":"$","suffix":null,"section":"13. Dropdown","hidden":false,"hero":false,"slider":null,"value":9,"display":"$9.00"},{"text":"# 14. Toggle","label":null,"prefix":null,"suffix":null,"section":"14. Toggle","hero":false,"slider":null,"value":null,"display":null},{"text":"includes_premium = false // @label(Premium add-on) toggle()","label":"Premium add-on","prefix":null,"suffix":null,"section":"14. Toggle","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"$base price = 49.99 // @prefix($)","label":null,"prefix":"$","suffix":null,"section":"14. Toggle","hidden":false,"hero":false,"slider":null,"value":49.99,"display":"$49.99"},{"text":"$total = base_price + (includes_premium ? 20 : 0) // @hero @prefix($)","label":null,"prefix":"$","suffix":null,"section":"14. Toggle","hidden":false,"hero":true,"slider":null,"value":49.99,"display":"$49.99"},{"text":"# 15. @icon on row","label":null,"prefix":null,"suffix":null,"section":"15. on row","hero":false,"slider":null,"value":null,"display":null},{"text":"fuel = 12.5 // @icon(droplet) gal","label":null,"prefix":null,"suffix":"gal","section":"15. on row","hidden":false,"hero":false,"slider":null,"value":12.5,"display":"12.5"},{"text":"distance = 320 // @icon(map-pin) mi","label":null,"prefix":null,"suffix":"mi","section":"15. on row","hidden":false,"hero":false,"slider":null,"value":320,"display":"320"},{"text":"# 16. Calc title @icon + @category in the first heading at the top of this file","label":null,"prefix":null,"suffix":null,"section":"16. Calc title + in the first heading at the top of this file","hero":false,"slider":null,"value":null,"display":null},{"text":"# 17. Layout: grid (peer outputs)","label":null,"prefix":null,"suffix":null,"section":"17. Layout: grid (peer outputs)","hero":false,"slider":null,"value":null,"display":null},{"text":"# Color breakdown @layout(grid)","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"red = 255","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"green = 128","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"blue = 64","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":64,"display":"64"},{"text":"alpha = 1.0","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# 18. Layout: split (inputs left, outputs right)","label":null,"prefix":null,"suffix":null,"section":"18. Layout: split (inputs left, outputs right)","hero":false,"slider":null,"value":null,"display":null},{"text":"# I/O scenario @layout(split)","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hero":false,"slider":null,"value":null,"display":null},{"text":"revenue = 150000","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":150000,"display":"150,000"},{"text":"expenses = 90000","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":90000,"display":"90,000"},{"text":"profit = revenue - expenses","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":60000,"display":"60,000"},{"text":"margin pct = (profit / revenue) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"# 19. @wide — row spans full grid width","label":null,"prefix":null,"suffix":null,"section":"19. — row spans full grid width","hero":false,"slider":null,"value":null,"display":null},{"text":"$total quarterly revenue = 600000 // @wide @prefix($) @label(Q4 total revenue across all regions)","label":"Q4 total revenue across all regions","prefix":"$","suffix":null,"section":"19. — row spans full grid width","hidden":false,"hero":false,"slider":null,"value":600000,"display":"$600,000.00"},{"text":"# 20. Format: percent and currency","label":null,"prefix":null,"suffix":null,"section":"20. Format: percent and currency","hero":false,"slider":null,"value":null,"display":null},{"text":"percent rate = 0.075 // @format(percent)","label":null,"prefix":null,"suffix":null,"section":"20. Format: percent and currency","hidden":false,"hero":false,"slider":null,"value":0.075,"display":"7.5%"},{"text":"$compact dollars = 12345.67 // @format(currency) @decimals(0)","label":null,"prefix":"$","suffix":null,"section":"20. Format: percent and currency","hidden":false,"hero":false,"slider":null,"value":12345.67,"display":"$12.3K"},{"text":"raw count = 1234567 // @format(raw)","label":null,"prefix":null,"suffix":null,"section":"20. Format: percent and currency","hidden":false,"hero":false,"slider":null,"value":1234567,"display":"1,234,567"},{"text":"# 20b. Suppress unit on dimensioned results","label":null,"prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hero":false,"slider":null,"value":null,"display":null},{"text":"_w_kg = 82","label":null,"prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hidden":true,"hero":false,"slider":null,"value":82,"display":"82"},{"text":"_h_m = 1.78","label":null,"prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hidden":true,"hero":false,"slider":null,"value":1.78,"display":"1.78"},{"text":"body mass index = _w_kg / (_h_m^2) // @hero @label(BMI) @suffix()","label":"BMI","prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hidden":false,"hero":true,"slider":null,"value":25.88057063502083,"display":"25.8806"},{"text":"# 21. Inline variable interpolation in prose","label":null,"prefix":null,"suffix":null,"section":"21. Inline variable interpolation in prose","hero":false,"slider":null,"value":null,"display":null},{"text":"# 22. Narrative row (markdown-friendly)","label":null,"prefix":null,"suffix":null,"section":"22. Narrative row (markdown-friendly)","hero":false,"slider":null,"value":null,"display":null},{"text":"# 23. Plain comment","label":null,"prefix":null,"suffix":null,"section":"23. Plain comment","hero":false,"slider":null,"value":null,"display":null},{"text":"# 24. Divider","label":null,"prefix":null,"suffix":null,"section":"24. Divider","hero":false,"slider":null,"value":null,"display":null},{"text":"# 25. Quoted string narrative","label":null,"prefix":null,"suffix":null,"section":"25. Quoted string narrative","hero":false,"slider":null,"value":null,"display":null},{"text":"# 26. Comment heading (level 3)","label":null,"prefix":null,"suffix":null,"section":"26. Comment heading (level 3)","hero":false,"slider":null,"value":null,"display":null},{"text":"### A level-3 sub-label","label":null,"prefix":null,"suffix":null,"section":"A level-3 sub-label","hero":false,"slider":null,"value":null,"display":null},{"text":"# 27. End cap — one final hero so the calc has a clear payoff","label":null,"prefix":null,"suffix":null,"section":"27. End cap — one final hero so the calc has a clear payoff","hero":false,"slider":null,"value":null,"display":null},{"text":"$grand total = annual_savings * years // @hero @label(Total saved over horizon) @prefix($)","label":"Total saved over horizon","prefix":"$","suffix":null,"section":"27. End cap — one final hero so the calc has a clear payoff","hidden":false,"hero":true,"slider":null,"value":1050000,"display":"$1,050,000.00"}]},{"id":"ac-impedance-rlc-circuit","title":"AC Impedance RLC Circuit","description":"Calculate total impedance and phase angle for AC circuits.","category":"engineering","icon":"zap","tags":["engineering","electrical","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.060Z"},"rows":[{"text":"resistance_ohms = 100 // ohms","label":null,"prefix":null,"suffix":"ohms","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"inductance_henries = 0.1 // henries","label":null,"prefix":null,"suffix":"henries","section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"capacitance_farads = 0.00001 // farads (10 uF)","label":null,"prefix":null,"suffix":"farads (10 uF)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.00001,"display":"0.00001"},{"text":"frequency_hz = 60 // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"angular_frequency = 2 * 3.14159 * frequency_hz","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":376.9908,"display":"376.9908"},{"text":"inductive_reactance = angular_frequency * inductance_henries","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":37.69908,"display":"37.6991"},{"text":"capacitive_reactance = 1 / (angular_frequency * capacitance_farads)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":265.2584625407304,"display":"265.2585"},{"text":"@hero total_impedance_ohms = (resistance_ohms^2 + (inductive_reactance - capacitive_reactance)^2)^0.5 // ohms","label":null,"prefix":null,"suffix":"ohms","section":null,"hidden":false,"hero":true,"slider":null,"value":248.5624118452315,"display":"248.5624"},{"text":"phase_angle_degrees = atan((inductive_reactance - capacitive_reactance) / resistance_ohms) * 180 / 3.14159","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-3797.40229397485,"display":"-3,797.4023"}]},{"id":"acceleration","title":"Acceleration","description":"a = (v − v₀) / t — average acceleration from change in velocity over time.","category":"formulas","icon":"gauge","tags":["physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.061Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"final_velocity = 30 // m/s -1k..1k","label":null,"prefix":null,"suffix":"m/s","section":"Inputs","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":30,"display":"30"},{"text":"initial_velocity = 10 // m/s -1k..1k","label":null,"prefix":null,"suffix":"m/s","section":"Inputs","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":10,"display":"10"},{"text":"time = 5 // s 0.001..10k","label":null,"prefix":null,"suffix":"s","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":10000,"step":100},"value":5,"display":"5"},{"text":"# Acceleration","label":null,"prefix":null,"suffix":null,"section":"Acceleration","hero":false,"slider":null,"value":null,"display":null},{"text":"acceleration = (final_velocity - initial_velocity) / time // @label(a) @suffix(m/s²)","label":"a","prefix":null,"suffix":null,"section":"Acceleration","hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"account-receivable-days","title":"Account Receivable Days","description":"Calculate days sales outstanding and collection efficiency from receivables and credit sales.","category":"other","icon":"calculator","tags":["account"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.061Z"},"rows":[{"text":"# Receivables Data","label":null,"prefix":null,"suffix":null,"section":"Receivables Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$average accounts receivable = 45000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Receivables Data","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":45000,"display":"$45,000.00"},{"text":"$total annual credit sales = 400000 // 1k..10M","label":null,"prefix":"$","suffix":null,"section":"Receivables Data","hidden":false,"hero":false,"slider":{"min":1000,"max":10000000,"step":100000},"value":400000,"display":"$400,000.00"},{"text":"number of days in period = 365 // days 30..365","label":null,"prefix":null,"suffix":"days","section":"Receivables Data","hidden":false,"hero":false,"slider":{"min":30,"max":365,"step":1},"value":365,"display":"365"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_receivables_turnover = total annual credit sales / average accounts receivable","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":8.88888888888889,"display":"8.8889"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"days sales outstanding = number of days in period / receivables_turnover // @hero days","label":null,"prefix":null,"suffix":"days","section":"Result","hidden":false,"hero":true,"slider":null,"value":41.06249999999999,"display":"41.0625"},{"text":"$daily credit sales = total annual credit sales / number of days in period","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1095.890410958904,"display":"$1,095.89"},{"text":"collection efficiency = if(days sales outstanding < 45, \"Efficient\", \"Slow collection\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Efficient","display":"Efficient"}]},{"id":"ada-accessibility-compliance-gap","title":"ADA Compliance Gap","description":"Identify features needed to meet ADA accessibility standards.","category":"other","icon":"user-check","tags":["compliance","gap"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.061Z"},"rows":[{"text":"requiredFeatures = 50 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"implementedFeatures = 42 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":42,"display":"42"},{"text":"gapCount = requiredFeatures - implementedFeatures","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8,"display":"8"}]},{"id":"aerodynamic-drag-frontal-area","title":"Aerodynamic Drag Frontal Area","description":"Calculate aerodynamic drag force.","category":"engineering","icon":"settings","tags":["automotive","drag"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.061Z"},"rows":[{"text":"# Aero Settings","label":null,"prefix":null,"suffix":null,"section":"Aero Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"drag coefficient = 0.3","label":null,"prefix":null,"suffix":null,"section":"Aero Settings","hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"frontal area square meters = 2.2","label":null,"prefix":null,"suffix":null,"section":"Aero Settings","hidden":false,"hero":false,"slider":null,"value":2.2,"display":"2.2"},{"text":"air density = 1.225","label":null,"prefix":null,"suffix":null,"section":"Aero Settings","hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"speed meters per second = 30","label":null,"prefix":null,"suffix":null,"section":"Aero Settings","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"drag force newtons = 0.5 * air density * (speed meters per second ^ 2) * drag coefficient * frontal area square meters","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":363.825,"display":"363.825"}]},{"id":"after-repair-value","title":"After Repair Value","description":"Estimate the market value of a property after all renovations.","category":"real-estate","icon":"hammer","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.062Z"},"rows":[{"text":"comparablePropertySale1 = 300000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":300000,"display":"300,000"},{"text":"comparablePropertySale2 = 310000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":310000,"display":"310,000"},{"text":"comparablePropertySale3 = 295000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":295000,"display":"295,000"},{"text":"arv = (comparablePropertySale1 + comparablePropertySale2 + comparablePropertySale3) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":301666.6666666667,"display":"301,666.6667"}]},{"id":"age-calculator","title":"Age Calculator","description":"See your age in months, weeks, days, hours, and heartbeats.","category":"everyday","icon":"calendar","tags":["age","birthday","life"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.062Z"},"rows":[{"text":"# Your Age","label":null,"prefix":null,"suffix":null,"section":"Your Age","hero":false,"slider":null,"value":null,"display":null},{"text":"age in years = 30 // years 1..120","label":null,"prefix":null,"suffix":"years","section":"Your Age","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":30,"display":"30"},{"text":"# In Different Units","label":null,"prefix":null,"suffix":null,"section":"In Different Units","hero":false,"slider":null,"value":null,"display":null},{"text":"months = age in years * 12","label":null,"prefix":null,"suffix":null,"section":"In Different Units","hidden":false,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"weeks = round(age in years * 52.1775)","label":null,"prefix":null,"suffix":null,"section":"In Different Units","hidden":false,"hero":false,"slider":null,"value":1565,"display":"1,565"},{"text":"days = round(age in years * 365.25) // @hero","label":null,"prefix":null,"suffix":null,"section":"In Different Units","hidden":false,"hero":true,"slider":null,"value":10958,"display":"10,958"},{"text":"hours = round(days * 24)","label":null,"prefix":null,"suffix":null,"section":"In Different Units","hidden":false,"hero":false,"slider":null,"value":262992,"display":"262,992"},{"text":"minutes = round(hours * 60)","label":null,"prefix":null,"suffix":null,"section":"In Different Units","hidden":false,"hero":false,"slider":null,"value":15779520,"display":"15,779,520"},{"text":"# Fun Facts","label":null,"prefix":null,"suffix":null,"section":"Fun Facts","hero":false,"slider":null,"value":null,"display":null},{"text":"heartbeats = round(days * 24 * 60 * 72) // @label(Approximate Heartbeats)","label":"Approximate Heartbeats","prefix":null,"suffix":null,"section":"Fun Facts","hidden":false,"hero":false,"slider":null,"value":1136125440,"display":"1,136,125,440"},{"text":"breaths = round(days * 24 * 60 * 16) // @label(Approximate Breaths)","label":"Approximate Breaths","prefix":null,"suffix":null,"section":"Fun Facts","hidden":false,"hero":false,"slider":null,"value":252472320,"display":"252,472,320"},{"text":"meals = round(days * 3) // @label(Approximate Meals Eaten)","label":"Approximate Meals Eaten","prefix":null,"suffix":null,"section":"Fun Facts","hidden":false,"hero":false,"slider":null,"value":32874,"display":"32,874"}]},{"id":"air-fryer-vs-oven-time","title":"Air Fryer vs Oven Time","description":"Convert oven cooking time and temperature to equivalent air fryer settings.","category":"productivity","icon":"clock","tags":["air","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.063Z"},"rows":[{"text":"oven_temperature_fahrenheit = 400","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"oven_time_minutes = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"air_fryer_temperature_fahrenheit = oven_temperature_fahrenheit - 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":375,"display":"375"},{"text":"@hero air_fryer_time_minutes = oven_time_minutes * 0.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16,"display":"16"}]},{"id":"air-fuel-ratio-afr","title":"Air Fuel Ratio AFR","description":"Calculate air fuel ratio from mass.","category":"engineering","icon":"settings","tags":["automotive","engine","fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.063Z"},"rows":[{"text":"# Mass Stats","label":null,"prefix":null,"suffix":null,"section":"Mass Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"air mass grams = 14.7","label":null,"prefix":null,"suffix":null,"section":"Mass Stats","hidden":false,"hero":false,"slider":null,"value":14.7,"display":"14.7"},{"text":"fuel mass grams = 1.0","label":null,"prefix":null,"suffix":null,"section":"Mass Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"air fuel ratio = air mass grams / fuel mass grams","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":14.7,"display":"14.7"}]},{"id":"air-quality-index-from-pm25","title":"Air Quality Index From Pm25","description":"Calculate the EPA Air Quality Index from a PM2.5 concentration reading.","category":"other","icon":"calculator","tags":["air","index"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.063Z"},"rows":[{"text":"pm25_concentration = 35","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"aqi_low = 51","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":51,"display":"51"},{"text":"aqi_high = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"conc_low = 12.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12.1,"display":"12.1"},{"text":"conc_high = 35.4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":35.4,"display":"35.4"},{"text":"@hero aqi = ((aqi_high - aqi_low) / (conc_high - conc_low)) * (pm25_concentration - conc_low) + aqi_low","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":99.15879828326179,"display":"99.1588"}]},{"id":"alcohol-by-volume-brix","title":"Alcohol By Volume Brix","description":"Estimate alcohol by volume from original and final Brix readings.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.063Z"},"rows":[{"text":"original_brix = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"final_brix = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero estimated_abv_percent = (original_brix - final_brix) * 0.59 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5.9,"display":"5.9"}]},{"id":"alimony-duration-estimator","title":"Alimony Duration","description":"Estimate how many years alimony might be paid after divorce.","category":"other","icon":"clock","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.063Z"},"rows":[{"text":"marriageLengthYears = 15 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"durationFactor = 0.5 // ratio","label":null,"prefix":null,"suffix":"ratio","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"alimonyYears = marriageLengthYears * durationFactor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7.5,"display":"7.5"}]},{"id":"alternator-load-capacity","title":"Alternator Load Capacity","description":"Calculate remaining alternator capacity.","category":"engineering","icon":"settings","tags":["automotive","electrical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.064Z"},"rows":[{"text":"# Electrical Load","label":null,"prefix":null,"suffix":null,"section":"Electrical Load","hero":false,"slider":null,"value":null,"display":null},{"text":"alternator output amps = 100","label":null,"prefix":null,"suffix":null,"section":"Electrical Load","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"base vehicle load amps = 30","label":null,"prefix":null,"suffix":null,"section":"Electrical Load","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"accessories load amps = 20","label":null,"prefix":null,"suffix":null,"section":"Electrical Load","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"remaining capacity amps = alternator output amps - (base vehicle load amps + accessories load amps)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"altman-z-score-bankruptcy-risk","title":"Altman Z Score Bankruptcy Risk","description":"Calculate the Altman Z-score to estimate corporate bankruptcy risk.","category":"finance","icon":"dollar-sign","tags":["risk","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.064Z"},"rows":[{"text":"working_capital_assets = 0.2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"retained_earnings_assets = 0.3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"ebit_assets = 0.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"market_value_equity_debt = 2.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"sales_assets = 1.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"z_score = 1.2 * working_capital_assets + 1.4 * retained_earnings_assets + 3.3 * ebit_assets + 0.6 * market_value_equity_debt + 1.0 * sales_assets","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.69,"display":"3.69"}]},{"id":"aluminum-scrap-value","title":"Aluminum Scrap Value","description":"Calculate the scrap value of aluminum by weight and price per pound.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.064Z"},"rows":[{"text":"aluminum_price_per_pound = 0.80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"aluminum_weight_pounds = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"aluminum_scrap_valuation = aluminum_weight_pounds * aluminum_price_per_pound","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"amazon-fba-fee-estimate","title":"Amazon Fba Fee Estimate","description":"Estimate Amazon FBA referral and fulfillment fees and net proceeds per sale.","category":"other","icon":"calculator","tags":["fee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.065Z"},"rows":[{"text":"item_price = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"item_weight_pounds = 1.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"fulfillment_fee_per_pound = 3.22","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.22,"display":"3.22"},{"text":"referral_fee_percentage = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"referral_fee = item_price * referral_fee_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.5,"display":"7.5"},{"text":"total_fees = referral_fee + fulfillment_fee_per_pound","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10.72,"display":"10.72"},{"text":"net_proceeds = item_price - total_fees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":39.28,"display":"39.28"}]},{"id":"aml-risk-score","title":"AML Risk Score","description":"Assess the anti-money laundering risk level of a transaction.","category":"other","icon":"shield","tags":["risk"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.065Z"},"rows":[{"text":"transactionVolumeScore = 6 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"geographicRiskScore = 4 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"customerTypeScore = 7 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"combinedAMLScore = (transactionVolumeScore + geographicRiskScore + customerTypeScore) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5.666666666666667,"display":"5.6667"}]},{"id":"among-us-imposter-probability","title":"Among Us Imposter Probability","description":"Calculate the probability of being assigned imposter or crewmate in Among Us.","category":"math","icon":"infinity","tags":["probability","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.065Z"},"rows":[{"text":"# Game Settings","label":null,"prefix":null,"suffix":null,"section":"Game Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"total players = 10 // 4..15","label":null,"prefix":null,"suffix":null,"section":"Game Settings","hidden":false,"hero":false,"slider":{"min":4,"max":15,"step":0.2},"value":10,"display":"10"},{"text":"imposter count = 2 // 1..3","label":null,"prefix":null,"suffix":null,"section":"Game Settings","hidden":false,"hero":false,"slider":{"min":1,"max":3,"step":0.02},"value":2,"display":"2"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"imposter probability = (imposter count / total players) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"crewmate probability = 100 - imposter probability // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"amortization-schedule","title":"Amortization Schedule","description":"Calculate monthly payment, total interest, and total cost of a fixed-rate loan.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.066Z"},"rows":[{"text":"# Loan Details","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan amount = 250000 // 10k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":10000,"max":1000000,"step":5000},"value":250000,"display":"$250,000.00"},{"text":"interest rate = 6.5 // % 1..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.1},"value":6.5,"display":"6.5"},{"text":"loan term = 30 // years 5..40","label":null,"prefix":null,"suffix":"years","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":5,"max":40,"step":1},"value":30,"display":"30"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_monthly_rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":0.005416666666666667,"display":"0.005417"},{"text":"_num_payments = loan term * 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly payment = loan amount * (monthly_rate * (1 + monthly_rate)^num_payments) / ((1 + monthly_rate)^num_payments - 1) // @hero","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":1580.1700587324135,"display":"$1,580.17"},{"text":"$total payments = monthly payment * num_payments","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":568861.221143669,"display":"$568,861.22"},{"text":"$total interest = total payments - loan amount","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":318861.221143669,"display":"$318,861.22"}]},{"id":"anchor-rode-scope-depth","title":"Anchor Rode Scope Depth","description":"Calculate the anchor rode length needed for a given water depth and scope ratio.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.066Z"},"rows":[{"text":"water_depth_feet = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"freeboard_height_feet = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"scope_ratio = 7 // 7:1 is standard for overnight","label":null,"prefix":null,"suffix":"7:1 is standard for overnight","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"@hero total_rode_length_feet = (water_depth_feet + freeboard_height_feet) * scope_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":168,"display":"168"}]},{"id":"anchoring-effect-strength","title":"Anchoring Effect Strength","description":"Estimate how much an anchor value biases a final numerical judgment.","category":"health","icon":"brain","tags":["effect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.066Z"},"rows":[{"text":"anchor_value = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"actual_value = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"adjustment_percent = 0.2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"final_estimate = anchor_value - (anchor_value - actual_value) * adjustment_percent","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":900,"display":"900"}]},{"id":"angle-conversion-degrees-radians","title":"Angle Conversion Degrees Radians","description":"Convert between degrees and radians: rad = deg × π/180.","category":"formulas","icon":"sigma","tags":["angle"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.067Z"},"rows":[{"text":"# Inputs (you can use either)","label":null,"prefix":null,"suffix":null,"section":"Inputs (you can use either)","hero":false,"slider":null,"value":null,"display":null},{"text":"degrees = 180 // 0..360","label":null,"prefix":null,"suffix":null,"section":"Inputs (you can use either)","hidden":false,"hero":false,"slider":{"min":0,"max":360,"step":1},"value":180,"display":"180"},{"text":"radians = 3.14159 // 0..6.3","label":null,"prefix":null,"suffix":null,"section":"Inputs (you can use either)","hidden":false,"hero":false,"slider":{"min":0,"max":6.3,"step":0.1},"value":3.14159,"display":"3.1416"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"degrees_to_radians = degrees * pi / 180 // @hero @label(Degrees → Radians)","label":"Degrees → Radians","prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":true,"slider":null,"value":3.141592653589793,"display":"3.1416"},{"text":"radians_to_degrees = radians * 180 / pi // @hero @label(Radians → Degrees)","label":"Radians → Degrees","prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":true,"slider":null,"value":179.99984796050433,"display":"179.9998"}]},{"id":"annuity-payment-calculator","title":"Annuity Payment Calculator","description":"Calculate the periodic payment of an annuity from present value, rate, and term.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.067Z"},"rows":[{"text":"present_value = 100000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"annual_rate = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"years = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"payment = present_value * (annual_rate / (1 - (1 + annual_rate) ** -years))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8024.258719069128,"display":"8,024.2587"}]},{"id":"aperture-depth-of-field-blur","title":"Aperture Depth Of Field Blur","description":"Calculate the near and far depth-of-field limits for a given aperture and focus distance.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.068Z"},"rows":[{"text":"focal_length = 50 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"aperture_f_stop = 1.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.8,"display":"1.8"},{"text":"distance_to_subject = 2000 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"circle_of_confusion = 0.03 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"_hyperfocal_distance = focal_length^2 / (aperture_f_stop * circle_of_confusion)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":46296.2962962963,"display":"46,296.2963"},{"text":"@hero near_limit = (distance_to_subject * (hyperfocal_distance - focal_length)) / (hyperfocal_distance + distance_to_subject - 2 * focal_length) // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":true,"slider":null,"value":1919.080919080919,"display":"1,919.0809"},{"text":"@hero far_limit = (distance_to_subject * (hyperfocal_distance - focal_length)) / (hyperfocal_distance - distance_to_subject) // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":true,"slider":null,"value":2088.0434782608695,"display":"2,088.0435"}]},{"id":"app-store-take-home-pay","title":"App Store Take Home Pay","description":"Estimate take-home pay from app sales after Apple or Google commission and taxes.","category":"everyday","icon":"home","tags":["home","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.068Z"},"rows":[{"text":"total_app_sales_revenue = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"apple_google_commission_percentage = 0.30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"applicable_taxes_percentage = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"revenue_after_commission = total_app_sales_revenue * (1 - apple_google_commission_percentage)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7000,"display":"7,000"},{"text":"net_take_home_pay = revenue_after_commission * (1 - applicable_taxes_percentage)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5950,"display":"5,950"}]},{"id":"appreciation-rate-projector","title":"Appreciation Rate Projector","description":"Project future property value based on historical growth rates.","category":"real-estate","icon":"trending-up","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.069Z"},"rows":[{"text":"currentValue = 300000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":300000,"display":"300,000"},{"text":"annualAppreciationRate = 3 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"yearsProjected = 10 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"futureValue = currentValue * (1 + (annualAppreciationRate / 100)) ^ yearsProjected","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":403174.9138032367,"display":"403,174.9138"}]},{"id":"aquifer-recharge-time","title":"Aquifer Recharge Time","description":"Estimate how long it takes for an underground aquifer to refill.","category":"science","icon":"droplet","tags":["science","water","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.069Z"},"rows":[{"text":"aquifer_volume_cubic_meters = 1000000 // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"annual_recharge_liters_per_m2 = 50 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"catchment_area_m2 = 500000 // m2","label":null,"prefix":null,"suffix":"m2","section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"annual_recharge_m3 = (annual_recharge_liters_per_m2 * catchment_area_m2) / 1000 // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":false,"slider":null,"value":25000,"display":"25,000"},{"text":"@hero years_to_full_recharge = aquifer_volume_cubic_meters / annual_recharge_m3 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"arc-length","title":"Arc Length","description":"Find the length of a circular arc: s = r × θ (θ in radians).","category":"formulas","icon":"circle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.070Z"},"rows":[{"text":"# Arc","label":null,"prefix":null,"suffix":null,"section":"Arc","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Arc","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"angle_degrees = 60 // 0..360","label":null,"prefix":null,"suffix":null,"section":"Arc","hidden":false,"hero":false,"slider":{"min":0,"max":360,"step":1},"value":60,"display":"60"},{"text":"# Convert to radians and compute arc length","label":null,"prefix":null,"suffix":null,"section":"Convert to radians and compute arc length","hero":false,"slider":null,"value":null,"display":null},{"text":"_angle_radians = angle_degrees * pi / 180","label":null,"prefix":null,"suffix":null,"section":"Convert to radians and compute arc length","hidden":true,"hero":false,"slider":null,"value":1.0471975511965976,"display":"1.0472"},{"text":"arc_length = radius * angle_radians","label":null,"prefix":null,"suffix":null,"section":"Convert to radians and compute arc length","hidden":false,"hero":true,"slider":null,"value":10.471975511965976,"display":"10.472"}]},{"id":"archery-kinetic-energy","title":"Archery Kinetic Energy","description":"Calculate arrow kinetic energy in foot-pounds from arrow weight and velocity.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.070Z"},"rows":[{"text":"arrow_weight_grains = 400","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"arrow_velocity_feet_per_second = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"@hero kinetic_energy_foot_pounds = (arrow_weight_grains * arrow_velocity_feet_per_second^2) / 450240","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":79.95735607675905,"display":"79.9574"}]},{"id":"arithmetic-sequence-nth-term","title":"Arithmetic Sequence nth Term","description":"Find the nth term of an arithmetic sequence: aₙ = a₁ + (n−1)·d.","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.071Z"},"rows":[{"text":"# Sequence parameters","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"a1 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"d = 5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":5,"display":"5"},{"text":"n = 10 // 1..1k","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":10,"display":"10"},{"text":"# nth term","label":null,"prefix":null,"suffix":null,"section":"nth term","hero":false,"slider":null,"value":null,"display":null},{"text":"an = a1 + (n - 1) * d // @label(aₙ)","label":"aₙ","prefix":null,"suffix":null,"section":"nth term","hidden":false,"hero":true,"slider":null,"value":48,"display":"48"}]},{"id":"arithmetic-series-sum","title":"Arithmetic Series Sum","description":"Sum the first n terms of an arithmetic sequence: Sₙ = n/2 · (a₁ + aₙ).","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.071Z"},"rows":[{"text":"# Sequence parameters","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"a1 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"d = 5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":5,"display":"5"},{"text":"n = 10 // 1..1k","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":10,"display":"10"},{"text":"# Sum of first n terms","label":null,"prefix":null,"suffix":null,"section":"Sum of first n terms","hero":false,"slider":null,"value":null,"display":null},{"text":"an = a1 + (n - 1) * d // @label(aₙ)","label":"aₙ","prefix":null,"suffix":null,"section":"Sum of first n terms","hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"sum_n = n / 2 * (a1 + an) // @label(Sₙ)","label":"Sₙ","prefix":null,"suffix":null,"section":"Sum of first n terms","hidden":false,"hero":true,"slider":null,"value":255,"display":"255"}]},{"id":"aspect-ratio","title":"Aspect Ratio","description":"Scale dimensions proportionally while maintaining aspect ratio.","category":"design","icon":"maximize","tags":["aspect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.071Z"},"rows":[{"text":"# Original Dimensions","label":null,"prefix":null,"suffix":null,"section":"Original Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"original width = 1920 // 1..7680","label":null,"prefix":null,"suffix":null,"section":"Original Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":7680,"step":100},"value":1920,"display":"1,920"},{"text":"original height = 1080 // 1..4320","label":null,"prefix":null,"suffix":null,"section":"Original Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":4320,"step":50},"value":1080,"display":"1,080"},{"text":"# Resize","label":null,"prefix":null,"suffix":null,"section":"Resize","hero":false,"slider":null,"value":null,"display":null},{"text":"new width = 1280 // 1..7680","label":null,"prefix":null,"suffix":null,"section":"Resize","hidden":false,"hero":false,"slider":{"min":1,"max":7680,"step":100},"value":1280,"display":"1,280"},{"text":"# Calculated","label":null,"prefix":null,"suffix":null,"section":"Calculated","hero":false,"slider":null,"value":null,"display":null},{"text":"new height = round(original height * (new width / original width)) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculated","hidden":false,"hero":true,"slider":null,"value":720,"display":"720"},{"text":"scale factor = round(new width / original width * 10000) / 10000","label":null,"prefix":null,"suffix":null,"section":"Calculated","hidden":false,"hero":false,"slider":null,"value":0.6667,"display":"0.6667"},{"text":"# Ratio","label":null,"prefix":null,"suffix":null,"section":"Ratio","hero":false,"slider":null,"value":null,"display":null},{"text":"ratio decimal = round(original width / original height * 10000) / 10000 // @label(Ratio (decimal))","label":"Ratio (decimal)","prefix":null,"suffix":null,"section":"Ratio","hidden":false,"hero":false,"slider":null,"value":1.7778,"display":"1.7778"},{"text":"# Common Checks","label":null,"prefix":null,"suffix":null,"section":"Common Checks","hero":false,"slider":null,"value":null,"display":null},{"text":"original megapixels = round((original width * original height) / 1000000 * 100) / 100","label":null,"prefix":null,"suffix":null,"section":"Common Checks","hidden":false,"hero":false,"slider":null,"value":2.07,"display":"2.07"},{"text":"new megapixels = round((new width * new height) / 1000000 * 100) / 100","label":null,"prefix":null,"suffix":null,"section":"Common Checks","hidden":false,"hero":false,"slider":null,"value":0.92,"display":"0.92"}]},{"id":"asset-turnover-ratio","title":"Asset Turnover Ratio","description":"Calculate the asset turnover ratio from revenue and average total assets.","category":"math","icon":"ratio","tags":["turnover","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.072Z"},"rows":[{"text":"total_revenue = 5000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000000,"display":"5,000,000"},{"text":"average_assets = 2500000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2500000,"display":"2,500,000"},{"text":"asset_turnover = total_revenue / average_assets","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"asteroid-impact-energy","title":"Asteroid Impact Energy","description":"Estimate the impact energy of an asteroid in megatons of TNT from size, density, and velocity.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.072Z"},"rows":[{"text":"diameter_meters = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"density_kg_per_m3 = 3000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"velocity_km_per_s = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"volume = (4/3) * pi * (diameter_meters / 2)^3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":523598.7755982988,"display":"523,598.7756"},{"text":"mass_kg = volume * density_kg_per_m3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1570796326.7948964,"display":"1,570,796,326.7949"},{"text":"energy_joules = 0.5 * mass_kg * (velocity_km_per_s * 1000)^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":314159265358979260,"display":"314,159,265,358,979,260"},{"text":"megatons_tnt = energy_joules / 4.184e15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":75.08586648159161,"display":"75.0859"}]},{"id":"atmosphere-scale-height","title":"Atmosphere Scale Height","description":"Calculate the scale height of a planetary atmosphere from temperature and gravity.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.072Z"},"rows":[{"text":"temperature_kelvin = 288","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":288,"display":"288"},{"text":"mean_molecular_mass_kilograms = 4.8e-26","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4.8e-26,"display":"4.8e-26"},{"text":"gravity_constant = 9.81","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"boltzmann_constant = 1.38e-23","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.38e-23,"display":"1.38e-23"},{"text":"scale_height_meters = (boltzmann_constant * temperature_kelvin) / (mean_molecular_mass_kilograms * gravity_constant)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8440.366972477063,"display":"8,440.367"}]},{"id":"atmospheric-refraction-correction","title":"Atmospheric Refraction Correction","description":"Calculate atmospheric refraction correction for celestial altitude observations.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.072Z"},"rows":[{"text":"apparent_altitude_degrees = 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"pressure_millibars = 1013","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1013,"display":"1,013"},{"text":"temperature_celsius = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"refraction_arcminutes = (1.02 / tan((apparent_altitude_degrees + 10.3 / (apparent_altitude_degrees + 5.11)) * pi / 180)) * (pressure_millibars / 1010) * (283 / (273 + temperature_celsius))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":72.99754718829695,"display":"72.9975"}]},{"id":"attack-speed-frames-per-second","title":"Attack Speed Frames Per Second","description":"Calculate attack speed in frames per second.","category":"math","icon":"sword","tags":["gaming","combat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.073Z"},"rows":[{"text":"# Attack Settings","label":null,"prefix":null,"suffix":null,"section":"Attack Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base attack speed = 1.0 // attacks per second","label":null,"prefix":null,"suffix":"attacks per second","section":"Attack Settings","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"increased attack speed percent = 50 // %","label":null,"prefix":null,"suffix":"%","section":"Attack Settings","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"frames per second = 60","label":null,"prefix":null,"suffix":null,"section":"Attack Settings","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_final_attack_speed = base attack speed * (1 + (increased attack speed percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"frames per attack = frames per second / final_attack_speed","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"attention-span-decay","title":"Attention Span Decay","description":"Estimate remaining attention as a percentage after a given number of minutes.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.073Z"},"rows":[{"text":"time_minutes = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"initial_attention = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"decay_constant = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"current_attention = initial_attention * exp(-decay_constant * time_minutes)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":47.23665527410147,"display":"47.2367"}]},{"id":"attic-fan-airflow-sizing","title":"Attic Fan Sizing","description":"Calculate CFM requirements for attic cooling fans.","category":"engineering","icon":"fan","tags":["engineering","home","cooling"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.073Z"},"rows":[{"text":"attic_square_feet = 1500 // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"roof_color_dark = 1 // dropdown({Dark: 1, Light: 0})","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"multiplier = 0.7 + (roof_color_dark * 0.15)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.85,"display":"0.85"},{"text":"@hero required_cfm = attic_square_feet * multiplier // cubic feet per minute","label":null,"prefix":null,"suffix":"cubic feet per minute","section":null,"hidden":false,"hero":true,"slider":null,"value":1275,"display":"1,275"}]},{"id":"audio-delay-time-ms-to-bpm","title":"Audio Delay Time Ms To Bpm","description":"Calculate quarter, eighth, and dotted-eighth delay times in milliseconds for a given BPM.","category":"design","icon":"palette","tags":["delay"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.073Z"},"rows":[{"text":"bpm = 120","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"beats_per_measure = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"@hero quarter_note_delay = (60 / bpm) * 1000 // ms","label":null,"prefix":null,"suffix":"ms","section":null,"hidden":false,"hero":true,"slider":null,"value":500,"display":"500"},{"text":"@hero eighth_note_delay = quarter_note_delay / 2 // ms","label":null,"prefix":null,"suffix":"ms","section":null,"hidden":false,"hero":true,"slider":null,"value":250,"display":"250"},{"text":"@hero dotted_eighth_note_delay = eighth_note_delay * 1.5 // ms","label":null,"prefix":null,"suffix":"ms","section":null,"hidden":false,"hero":true,"slider":null,"value":375,"display":"375"}]},{"id":"aurora-visibility-latitude","title":"Aurora Visibility Latitude","description":"Estimate the minimum latitude at which the aurora is visible for a given Kp index.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.074Z"},"rows":[{"text":"kp_index = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"min_latitude = 67 - kp_index * 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":57,"display":"57"}]},{"id":"auto-lease-payment","title":"Auto Lease Payment","description":"Calculate monthly auto lease payment from MSRP, residual, money factor, and term.","category":"finance","icon":"dollar-sign","tags":["lease","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.074Z"},"rows":[{"text":"# Lease Terms","label":null,"prefix":null,"suffix":null,"section":"Lease Terms","hero":false,"slider":null,"value":null,"display":null},{"text":"$msrp = 35000 // 15k..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Lease Terms","hidden":false,"hero":false,"slider":{"min":15000,"max":100000,"step":500},"value":35000,"display":"$35,000.00"},{"text":"$negotiated price = 32000 // 10k..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Lease Terms","hidden":false,"hero":false,"slider":{"min":10000,"max":100000,"step":500},"value":32000,"display":"$32,000.00"},{"text":"$down payment = 3000 // 0..20k by 100","label":null,"prefix":"$","suffix":null,"section":"Lease Terms","hidden":false,"hero":false,"slider":{"min":0,"max":20000,"step":100},"value":3000,"display":"$3,000.00"},{"text":"residual value percent = 60 // % 30..80","label":null,"prefix":null,"suffix":"%","section":"Lease Terms","hidden":false,"hero":false,"slider":{"min":30,"max":80,"step":1},"value":60,"display":"60"},{"text":"money factor = 0.00125 // 0.0001..0.005 by 0.0001","label":null,"prefix":null,"suffix":null,"section":"Lease Terms","hidden":false,"hero":false,"slider":{"min":0.0001,"max":0.005,"step":0.0001},"value":0.00125,"display":"0.00125"},{"text":"lease term = 36 // months 12..60","label":null,"prefix":null,"suffix":"months","section":"Lease Terms","hidden":false,"hero":false,"slider":{"min":12,"max":60,"step":1},"value":36,"display":"36"},{"text":"tax rate = 8 // % 0..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Lease Terms","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.1},"value":8,"display":"8"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_capitalized_cost = negotiated price - down payment","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":29000,"display":"$29,000.00"},{"text":"$_residual_value = msrp * (residual value percent / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":21000,"display":"$21,000.00"},{"text":"$_monthly_depreciation = (capitalized_cost - residual_value) / lease term","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":222.22222222222223,"display":"$222.22"},{"text":"$_monthly_finance_fee = (capitalized_cost + residual_value) * money factor","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":62.5,"display":"$62.50"},{"text":"$_base_monthly_payment = monthly_depreciation + monthly_finance_fee","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":284.72222222222223,"display":"$284.72"},{"text":"$_monthly_tax = base_monthly_payment * (tax rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":22.77777777777778,"display":"$22.78"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$total monthly lease payment = base_monthly_payment + monthly_tax // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":307.5,"display":"$307.50"},{"text":"$total cost of lease = total monthly lease payment * lease term + down payment","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":14070,"display":"$14,070.00"}]},{"id":"average-days-to-ship","title":"Average Days to Ship","description":"Calculate the average time from order receipt to shipping.","category":"business","icon":"clock","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.074Z"},"rows":[{"text":"totalDaysForAllOrders = 450 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"totalOrdersShipped = 150 // orders","label":null,"prefix":null,"suffix":"orders","section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"averageDaysToShip = totalDaysForAllOrders / totalOrdersShipped","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3,"display":"3"}]},{"id":"avogadros-law-moles-volume","title":"Avogadros Law Moles Volume","description":"Calculate the final gas volume after changing moles at constant temperature and pressure.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.074Z"},"rows":[{"text":"volume_initial = 22.4 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":22.4,"display":"22.4"},{"text":"moles_initial = 1.0 // mol","label":null,"prefix":null,"suffix":"mol","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"moles_final = 1.5 // mol","label":null,"prefix":null,"suffix":"mol","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"@hero volume_final = volume_initial * (moles_final / moles_initial) // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":33.6,"display":"33.6"}]},{"id":"baby-name-randomizer","title":"Baby Name Randomizer","description":"Calculate the probability and 1-in-X odds of a baby name occurring among newborns.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.075Z"},"rows":[{"text":"# Name Stats","label":null,"prefix":null,"suffix":null,"section":"Name Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"babies with name = 15000","label":null,"prefix":null,"suffix":null,"section":"Name Stats","hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"total babies born = 4000000","label":null,"prefix":null,"suffix":null,"section":"Name Stats","hidden":false,"hero":false,"slider":null,"value":4000000,"display":"4,000,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"probability of name = (babies with name / total babies born) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.375,"display":"0.375"},{"text":"odds = total babies born / babies with name // 1 in X @hero","label":null,"prefix":null,"suffix":"1 in X","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":266.6666666666667,"display":"266.6667"}]},{"id":"back-end-load-impact","title":"Back End Load Impact","description":"Estimate the impact of a back-end load fee on an investment after years of growth.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.075Z"},"rows":[{"text":"investment_amount = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"annual_growth = 0.07","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.07,"display":"0.07"},{"text":"years = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"back_end_load_rate = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"future_value_pre_fee = investment_amount * (1 + annual_growth) ** years","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":14025.517307000004,"display":"14,025.5173"},{"text":"fee_amount = future_value_pre_fee * back_end_load_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":420.76551921000015,"display":"420.7655"},{"text":"final_value = future_value_pre_fee - fee_amount","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":13604.751787790003,"display":"13,604.7518"}]},{"id":"backorder-rate","title":"Backorder Rate","description":"Calculate the percentage of orders that cannot be filled immediately.","category":"business","icon":"list","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.075Z"},"rows":[{"text":"backorderedOrders = 40 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"totalOrdersPlaced = 1000 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"backorderRatePercent = (backorderedOrders / totalOrdersPlaced) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"baking-ratio","title":"Baker's Percentage","description":"Calculate ingredient weights using baker's percentages relative to flour weight.","category":"cooking","icon":"egg-fried","tags":["baking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.076Z"},"rows":[{"text":"# Baker's Percentage (relative to flour)","label":null,"prefix":null,"suffix":null,"section":"Baker's Percentage (relative to flour)","hero":false,"slider":null,"value":null,"display":null},{"text":"flour = 500 // g 100..5k","label":null,"prefix":null,"suffix":"g","section":"Baker's Percentage (relative to flour)","hidden":false,"hero":false,"slider":{"min":100,"max":5000,"step":50},"value":500,"display":"500"},{"text":"hydration = 65 // % 40..100","label":null,"prefix":null,"suffix":"%","section":"Baker's Percentage (relative to flour)","hidden":false,"hero":false,"slider":{"min":40,"max":100,"step":1},"value":65,"display":"65"},{"text":"salt pct = 2 // % 0..5 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Baker's Percentage (relative to flour)","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.1},"value":2,"display":"2"},{"text":"yeast pct = 1 // % 0..5 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Baker's Percentage (relative to flour)","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.1},"value":1,"display":"1"},{"text":"sugar pct = 5 // % 0..20","label":null,"prefix":null,"suffix":"%","section":"Baker's Percentage (relative to flour)","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":5,"display":"5"},{"text":"fat pct = 3 // % 0..20","label":null,"prefix":null,"suffix":"%","section":"Baker's Percentage (relative to flour)","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":3,"display":"3"},{"text":"# Ingredient Amounts","label":null,"prefix":null,"suffix":null,"section":"Ingredient Amounts","hero":false,"slider":null,"value":null,"display":null},{"text":"water = flour * hydration / 100 // g","label":null,"prefix":null,"suffix":"g","section":"Ingredient Amounts","hidden":false,"hero":false,"slider":null,"value":325,"display":"325"},{"text":"salt = flour * salt_pct / 100 // g","label":null,"prefix":null,"suffix":"g","section":"Ingredient Amounts","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"yeast = flour * yeast_pct / 100 // g","label":null,"prefix":null,"suffix":"g","section":"Ingredient Amounts","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"sugar = flour * sugar_pct / 100 // g","label":null,"prefix":null,"suffix":"g","section":"Ingredient Amounts","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"fat = flour * fat_pct / 100 // g","label":null,"prefix":null,"suffix":"g","section":"Ingredient Amounts","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"# Total","label":null,"prefix":null,"suffix":null,"section":"Total","hero":false,"slider":null,"value":null,"display":null},{"text":"total dough weight = flour + water + salt + yeast + sugar + fat // g @hero","label":null,"prefix":null,"suffix":"g","section":"Total","hidden":false,"hero":true,"slider":null,"value":880,"display":"880"},{"text":"total in ounces = round(total_dough_weight / 28.35, 1) // oz","label":null,"prefix":null,"suffix":"oz","section":"Total","hidden":false,"hero":false,"slider":null,"value":31,"display":"31"}]},{"id":"baking-scale","title":"Baking Time Scale","description":"Adjusted bake time when scaling a recipe up or down (heat-conduction model).","category":"cooking","icon":"chef-hat","tags":["baking","recipe"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.076Z"},"rows":[{"text":"# Original Recipe","label":null,"prefix":null,"suffix":null,"section":"Original Recipe","hero":false,"slider":null,"value":null,"display":null},{"text":"original servings = 8 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Original Recipe","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":8,"display":"8"},{"text":"original bake minutes = 30 // min 5..240","label":null,"prefix":null,"suffix":"min","section":"Original Recipe","hidden":false,"hero":false,"slider":{"min":5,"max":240,"step":1},"value":30,"display":"30"},{"text":"# Desired Recipe","label":null,"prefix":null,"suffix":null,"section":"Desired Recipe","hero":false,"slider":null,"value":null,"display":null},{"text":"desired servings = 16 // 1..100","label":null,"prefix":null,"suffix":null,"section":"Desired Recipe","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":16,"display":"16"},{"text":"# Scale Factor","label":null,"prefix":null,"suffix":null,"section":"Scale Factor","hero":false,"slider":null,"value":null,"display":null},{"text":"scale = desired servings / original servings // @label(Recipe scale)","label":"Recipe scale","prefix":null,"suffix":null,"section":"Scale Factor","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Bake Time Heuristic (heat conducts through cross-section, not volume)","label":null,"prefix":null,"suffix":null,"section":"Bake Time Heuristic (heat conducts through cross-section, not volume)","hero":false,"slider":null,"value":null,"display":null},{"text":"time exponent = 0.32 // 0.2..0.66 by 0.01","label":null,"prefix":null,"suffix":null,"section":"Bake Time Heuristic (heat conducts through cross-section, not volume)","hidden":false,"hero":false,"slider":{"min":0.2,"max":0.66,"step":0.01},"value":0.32,"display":"0.32"},{"text":"new bake minutes = round(original bake minutes * scale^time exponent, 1) // min @hero @label(New bake time)","label":"New bake time","prefix":null,"suffix":"min","section":"Bake Time Heuristic (heat conducts through cross-section, not volume)","hidden":false,"hero":true,"slider":null,"value":37.4,"display":"37.4"},{"text":"# Increase","label":null,"prefix":null,"suffix":null,"section":"Increase","hero":false,"slider":null,"value":null,"display":null},{"text":"extra minutes = round(new bake minutes - original bake minutes, 1) // min @label(Extra bake time)","label":"Extra bake time","prefix":null,"suffix":"min","section":"Increase","hidden":false,"hero":false,"slider":null,"value":7.4,"display":"7.4"},{"text":"percent longer = round((new bake minutes / original bake minutes - 1) * 100, 1) // % @label(% longer)","label":"% longer","prefix":null,"suffix":"%","section":"Increase","hidden":false,"hero":false,"slider":null,"value":24.7,"display":"24.7"}]},{"id":"baking-substitution","title":"Baking Substitution","description":"Egg replacements (banana, applesauce, flax) by mass for any recipe.","category":"cooking","icon":"egg-fried","tags":["baking","recipe"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.076Z"},"rows":[{"text":"# Recipe Calls For","label":null,"prefix":null,"suffix":null,"section":"Recipe Calls For","hero":false,"slider":null,"value":null,"display":null},{"text":"eggs in recipe = 2 // 1..12","label":null,"prefix":null,"suffix":null,"section":"Recipe Calls For","hidden":false,"hero":false,"slider":{"min":1,"max":12,"step":0.2},"value":2,"display":"2"},{"text":"# Egg Mass","label":null,"prefix":null,"suffix":null,"section":"Egg Mass","hero":false,"slider":null,"value":null,"display":null},{"text":"_grams_per_egg = 60 // g","label":null,"prefix":null,"suffix":"g","section":"Egg Mass","hidden":true,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"total egg mass = eggs in recipe * grams_per_egg // g","label":null,"prefix":null,"suffix":"g","section":"Egg Mass","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"# Substitutes (per egg = 60 g moisture + binder)","label":null,"prefix":null,"suffix":null,"section":"Substitutes (per egg = 60 g moisture + binder)","hero":false,"slider":null,"value":null,"display":null},{"text":"banana mashed g = total egg mass // g @hero @label(Mashed banana) @suffix(g)","label":"Mashed banana","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":true,"slider":null,"value":120,"display":"120"},{"text":"applesauce g = total egg mass // g @label(Unsweetened applesauce) @suffix(g)","label":"Unsweetened applesauce","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"flax water mix g = eggs in recipe * 3 + eggs in recipe * 8 // g @label(Ground flax + water (1 tbsp + 3 tbsp))","label":"Ground flax + water (1 tbsp + 3 tbsp)","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"},{"text":"yogurt g = total egg mass // g @label(Plain yogurt) @suffix(g)","label":"Plain yogurt","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"silken tofu g = eggs in recipe * 64 // g @label(Silken tofu) @suffix(g)","label":"Silken tofu","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"# Conversion","label":null,"prefix":null,"suffix":null,"section":"Conversion","hero":false,"slider":null,"value":null,"display":null},{"text":"bananas needed = round(banana mashed g / 120, 1) // @label(Medium bananas (≈120 g each))","label":"Medium bananas (≈120 g each)","prefix":null,"suffix":null,"section":"Conversion","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"}]},{"id":"balloon-inflation-volume","title":"Balloon Inflation Volume","description":"Calculate the volume of an inflated spherical balloon in liters from its radius.","category":"everyday","icon":"smile","tags":["inflation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.076Z"},"rows":[{"text":"balloon_radius_cm = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"volume_liters = (4/3 * pi * balloon_radius_cm^3) / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":14.137166941154067,"display":"14.1372"}]},{"id":"bandwidth-calculator","title":"Bandwidth Calculator","description":"Calculate file transfer times and streaming data usage from bandwidth.","category":"programming","icon":"gauge","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.077Z"},"rows":[{"text":"# Connection","label":null,"prefix":null,"suffix":null,"section":"Connection","hero":false,"slider":null,"value":null,"display":null},{"text":"bandwidth = 100 // Mbps 1..10k","label":null,"prefix":null,"suffix":"Mbps","section":"Connection","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":100,"display":"100"},{"text":"file size = 5 // GB 0.1..1k","label":null,"prefix":null,"suffix":"GB","section":"Connection","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Transfer Time","label":null,"prefix":null,"suffix":null,"section":"Transfer Time","hero":false,"slider":null,"value":null,"display":null},{"text":"bits = file_size * 8 * 1000","label":null,"prefix":null,"suffix":null,"section":"Transfer Time","hidden":false,"hero":false,"slider":null,"value":40000,"display":"40,000"},{"text":"transfer time seconds = bits / bandwidth","label":null,"prefix":null,"suffix":null,"section":"Transfer Time","hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"transfer time minutes = transfer_time_seconds / 60 // @hero","label":null,"prefix":null,"suffix":null,"section":"Transfer Time","hidden":false,"hero":true,"slider":null,"value":6.666666666666667,"display":"6.6667"},{"text":"# Throughput","label":null,"prefix":null,"suffix":null,"section":"Throughput","hero":false,"slider":null,"value":null,"display":null},{"text":"protocol overhead = 10 // % 0..30","label":null,"prefix":null,"suffix":"%","section":"Throughput","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":10,"display":"10"},{"text":"effective bandwidth = bandwidth * (1 - protocol_overhead / 100) // Mbps","label":null,"prefix":null,"suffix":"Mbps","section":"Throughput","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"real transfer time minutes = bits / effective_bandwidth / 60","label":null,"prefix":null,"suffix":null,"section":"Throughput","hidden":false,"hero":false,"slider":null,"value":7.407407407407408,"display":"7.4074"},{"text":"# Data Usage","label":null,"prefix":null,"suffix":null,"section":"Data Usage","hero":false,"slider":null,"value":null,"display":null},{"text":"stream bitrate 4k = 25 // Mbps 5..100","label":null,"prefix":null,"suffix":"Mbps","section":"Data Usage","hidden":false,"hero":false,"slider":{"min":5,"max":100,"step":1},"value":25,"display":"25"},{"text":"daily streaming = 3 // hours 0.5..12 by 0.5","label":null,"prefix":null,"suffix":"hours","section":"Data Usage","hidden":false,"hero":false,"slider":{"min":0.5,"max":12,"step":0.5},"value":3,"display":"3"},{"text":"monthly data used = stream_bitrate_4k * daily_streaming * 3600 / 8 / 1000 * 30 // GB","label":null,"prefix":null,"suffix":"GB","section":"Data Usage","hidden":false,"hero":false,"slider":null,"value":1012.5,"display":"1,012.5"}]},{"id":"basal-metabolic-rate-harris-benedict","title":"Basal Metabolic Rate Harris Benedict","description":"Calculate basal metabolic rate using the revised Harris-Benedict formula.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.077Z"},"rows":[{"text":"# Personal Details","label":null,"prefix":null,"suffix":null,"section":"Personal Details","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Personal Details","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"height = 70 // inches 48..84","label":null,"prefix":null,"suffix":"inches","section":"Personal Details","hidden":false,"hero":false,"slider":{"min":48,"max":84,"step":1},"value":70,"display":"70"},{"text":"age = 30 // years 15..100","label":null,"prefix":null,"suffix":"years","section":"Personal Details","hidden":false,"hero":false,"slider":{"min":15,"max":100,"step":1},"value":30,"display":"30"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Personal Details","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Harris-Benedict Formula (Revised)","label":null,"prefix":null,"suffix":null,"section":"Harris-Benedict Formula (Revised)","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Harris-Benedict Formula (Revised)","hidden":false,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"height cm = height * 2.54","label":null,"prefix":null,"suffix":null,"section":"Harris-Benedict Formula (Revised)","hidden":false,"hero":false,"slider":null,"value":177.8,"display":"177.8"},{"text":"bmr male = 88.362 + (13.397 * weight kg) + (4.799 * height cm) - (5.677 * age)","label":null,"prefix":null,"suffix":null,"section":"Harris-Benedict Formula (Revised)","hidden":false,"hero":false,"slider":null,"value":1865.13316432,"display":"1,865.1332"},{"text":"bmr female = 447.593 + (9.247 * weight kg) + (3.098 * height cm) - (4.330 * age)","label":null,"prefix":null,"suffix":null,"section":"Harris-Benedict Formula (Revised)","hidden":false,"hero":false,"slider":null,"value":1623.50314032,"display":"1,623.5031"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"basal metabolic rate = is male * bmr male + (1 - is male) * bmr female // calories","label":null,"prefix":null,"suffix":"calories","section":"Result","hidden":false,"hero":true,"slider":null,"value":1865.13316432,"display":"1,865.1332"}]},{"id":"base64-data-size","title":"Base64 Data Size","description":"Calculate the encoded size and overhead when converting data to Base64.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.077Z"},"rows":[{"text":"# Original Data","label":null,"prefix":null,"suffix":null,"section":"Original Data","hero":false,"slider":null,"value":null,"display":null},{"text":"original size kilobytes = 100 // KB","label":null,"prefix":null,"suffix":"KB","section":"Original Data","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"# Base64 encoding uses 4 characters to represent 3 bytes","label":null,"prefix":null,"suffix":null,"section":"Base64 encoding uses 4 characters to represent 3 bytes","hero":false,"slider":null,"value":null,"display":null},{"text":"# This is a 33% increase","label":null,"prefix":null,"suffix":null,"section":"This is a 33% increase","hero":false,"slider":null,"value":null,"display":null},{"text":"encoded size kilobytes = original size kilobytes * (4 / 3) // @hero","label":null,"prefix":null,"suffix":null,"section":"This is a 33% increase","hidden":false,"hero":true,"slider":null,"value":133.33333333333331,"display":"133.3333"},{"text":"overhead = encoded size kilobytes - original size kilobytes // KB @hero","label":null,"prefix":null,"suffix":"KB","section":"This is a 33% increase","hidden":false,"hero":true,"slider":null,"value":33.33333333333332,"display":"33.3333"}]},{"id":"baseball-batting-average","title":"Baseball Batting Average","description":"Calculate Batting Average.","category":"health","icon":"activity","tags":["sports","baseball","batting"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.077Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"hits = 50","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"at bats = 150","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"batting average = hits / at bats","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.3333333333333333,"display":"0.3333"}]},{"id":"baseball-era-calculator","title":"Baseball ERA Calculator","description":"Calculate Earned Run Average.","category":"health","icon":"activity","tags":["sports","baseball","pitching"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.078Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"earned runs = 3","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"innings pitched = 6.0","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"standard game innings = 9","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"era = (earned runs / innings pitched) * standard game innings","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4.5,"display":"4.5"}]},{"id":"baseball-fip-calculator","title":"Baseball FIP Calculator","description":"Calculate Fielding Independent Pitching.","category":"health","icon":"activity","tags":["sports","baseball","pitching"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.078Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"home runs = 1","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"walks = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"hit by pitch = 1","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"strikeouts = 8","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"innings pitched = 7","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"fip constant = 3.10","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":3.1,"display":"3.1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"fip = ((13 * home runs + 3 * (walks + hit by pitch) - 2 * strikeouts) / innings pitched) + fip constant","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3.957142857142857,"display":"3.9571"}]},{"id":"baseball-on-base-percentage","title":"Baseball On Base Percentage","description":"Calculate On Base Percentage.","category":"health","icon":"activity","tags":["sports","baseball","batting"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.078Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"hits = 50","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"walks = 15","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"hit by pitch = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"at bats = 150","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"sacrifice flies = 5","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"on base percentage = (hits + walks + hit by pitch) / (at bats + walks + hit by pitch + sacrifice flies)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.38953488372093026,"display":"0.3895"}]},{"id":"baseball-slugging-percentage","title":"Baseball Slugging Percentage","description":"Calculate Slugging Percentage.","category":"health","icon":"activity","tags":["sports","baseball","batting"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.078Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"singles = 30","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"doubles = 10","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"triples = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"home runs = 8","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"at bats = 150","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_bases = singles + (2 * doubles) + (3 * triples) + (4 * home runs)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":88,"display":"88"},{"text":"slugging percentage = total_bases / at bats","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.5866666666666667,"display":"0.5867"}]},{"id":"baseball-whip-calculator","title":"Baseball WHIP Calculator","description":"Calculate Walks plus Hits per Innings Pitched.","category":"health","icon":"activity","tags":["sports","baseball","pitching"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.079Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"walks = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"hits = 8","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"innings pitched = 7","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"whip = (walks + hits) / innings pitched","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1.4285714285714286,"display":"1.4286"}]},{"id":"basketball-effective-field-goal-percentage","title":"Basketball Effective Field Goal Percentage","description":"Calculate Effective Field Goal Percentage.","category":"health","icon":"activity","tags":["sports","basketball"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.079Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"field goals made = 10","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"three pointers made = 4","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"field goal attempts = 20","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"effective field goal percentage = ((field goals made + (0.5 * three pointers made)) / field goal attempts) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":60,"display":"60"}]},{"id":"basketball-per-simple","title":"Basketball PER Simple","description":"Calculate a simplified Player Efficiency Rating.","category":"health","icon":"activity","tags":["sports","basketball"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.079Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"field goals made = 8","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"steals = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"three pointers made = 3","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"free throws made = 4","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"blocks = 1","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"offensive rebounds = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"defensive rebounds = 5","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"assists = 6","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"fouls = 3","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"turnovers = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"field goals missed = 5","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"free throws missed = 1","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_positive = field goals made + steals + three pointers made + free throws made + blocks + offensive rebounds + defensive rebounds + assists","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":31,"display":"31"},{"text":"_total_negative = fouls + turnovers + field goals missed + free throws missed","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":11,"display":"11"},{"text":"per = total_positive - total_negative","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"basketball-true-shooting-percentage","title":"Basketball True Shooting Percentage","description":"Calculate True Shooting Percentage.","category":"health","icon":"activity","tags":["sports","basketball"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.079Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"points = 25","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"field goal attempts = 18","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"free throw attempts = 6","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"true shooting percentage = (points / (2 * (field goal attempts + (0.44 * free throw attempts)))) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":60.56201550387597,"display":"60.562"}]},{"id":"battery-charge-time-mah","title":"Battery Charge Time Mah","description":"Estimate battery charge time in hours from capacity, charger output, and efficiency.","category":"productivity","icon":"clock","tags":["battery","charge","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.080Z"},"rows":[{"text":"battery_capacity_milliamp_hours = 3000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"charger_output_milliamps = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"charge_efficiency_percentage = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"estimated_charge_time_hours = (battery_capacity_milliamp_hours / charger_output_milliamps) / (charge_efficiency_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7.5,"display":"7.5"}]},{"id":"battery-cold-cranking-amps-cca","title":"Battery Cold Cranking Amps CCA","description":"Estimate required CCA for an engine.","category":"engineering","icon":"settings","tags":["automotive","electrical","battery"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.080Z"},"rows":[{"text":"# Engine Stats","label":null,"prefix":null,"suffix":null,"section":"Engine Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"displacement cubic inches = 350","label":null,"prefix":null,"suffix":null,"section":"Engine Stats","hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"cylinder count = 8","label":null,"prefix":null,"suffix":null,"section":"Engine Stats","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"required cca = displacement cubic inches * 1.5","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":525,"display":"525"}]},{"id":"battery-cycle-count-health","title":"Battery Cycle Count Health","description":"Estimate remaining battery health percentage from charge cycle count.","category":"other","icon":"heart","tags":["battery","cycle","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.080Z"},"rows":[{"text":"cycle_count = 450","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"design_capacity_mah = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"estimated_loss_per_100_cycles = 0.02","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.02,"display":"0.02"},{"text":"health_percentage = 100 * (1 - (cycle_count / 100) * estimated_loss_per_100_cycles)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":91,"display":"91"}]},{"id":"bayes-theorem","title":"Bayes' Theorem","description":"P(A|B) = P(B|A) · P(A) / P(B).","category":"formulas","icon":"percent","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.080Z"},"rows":[{"text":"# Priors and likelihoods","label":null,"prefix":null,"suffix":null,"section":"Priors and likelihoods","hero":false,"slider":null,"value":null,"display":null},{"text":"prob_a = 0.01 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Priors and likelihoods","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.01,"display":"0.01"},{"text":"prob_b_given_a = 0.99 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Priors and likelihoods","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.99,"display":"0.99"},{"text":"prob_b_given_not_a = 0.05 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Priors and likelihoods","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.05,"display":"0.05"},{"text":"# Total probability of B","label":null,"prefix":null,"suffix":null,"section":"Total probability of B","hero":false,"slider":null,"value":null,"display":null},{"text":"prob_b = prob_b_given_a * prob_a + prob_b_given_not_a * (1 - prob_a) // @label(P(B))","label":"P(B)","prefix":null,"suffix":null,"section":"Total probability of B","hidden":false,"hero":false,"slider":null,"value":0.0594,"display":"0.0594"},{"text":"# Posterior","label":null,"prefix":null,"suffix":null,"section":"Posterior","hero":false,"slider":null,"value":null,"display":null},{"text":"prob_a_given_b = (prob_b_given_a * prob_a) / prob_b // @label(P(A|B))","label":"P(A|B)","prefix":null,"suffix":null,"section":"Posterior","hidden":false,"hero":true,"slider":null,"value":0.16666666666666666,"display":"0.1667"}]},{"id":"beam-deflection-point-load","title":"Beam Deflection Point Load","description":"Calculate max deflection for a simply supported beam.","category":"engineering","icon":"ruler","tags":["engineering","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.081Z"},"rows":[{"text":"load_pounds = 1000 // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"beam_length_inches = 120 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"elastic_modulus_psi = 29000000 // psi (steel)","label":null,"prefix":null,"suffix":"psi (steel)","section":null,"hidden":false,"hero":false,"slider":null,"value":29000000,"display":"29,000,000"},{"text":"moment_of_inertia_in4 = 50 // in^4","label":null,"prefix":null,"suffix":"in^4","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"@hero max_deflection_inches = (load_pounds * (beam_length_inches^3)) / (48 * elastic_modulus_psi * moment_of_inertia_in4) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":0.02482758620689655,"display":"0.0248"}]},{"id":"beam-load","title":"Beam Load Calculator","description":"Calculate bending moment, shear force, and deflection for simply supported beams.","category":"engineering","icon":"ruler","tags":["engineering"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.081Z"},"rows":[{"text":"# Beam Properties","label":null,"prefix":null,"suffix":null,"section":"Beam Properties","hero":false,"slider":null,"value":null,"display":null},{"text":"beam span = 10 // ft 2..40","label":null,"prefix":null,"suffix":"ft","section":"Beam Properties","hidden":false,"hero":false,"slider":{"min":2,"max":40,"step":1},"value":10,"display":"10"},{"text":"beam width = 6 // in 2..24","label":null,"prefix":null,"suffix":"in","section":"Beam Properties","hidden":false,"hero":false,"slider":{"min":2,"max":24,"step":1},"value":6,"display":"6"},{"text":"beam depth = 12 // in 4..36","label":null,"prefix":null,"suffix":"in","section":"Beam Properties","hidden":false,"hero":false,"slider":{"min":4,"max":36,"step":1},"value":12,"display":"12"},{"text":"# Loading","label":null,"prefix":null,"suffix":null,"section":"Loading","hero":false,"slider":null,"value":null,"display":null},{"text":"dead load = 20 // lb/ft 5..200 by 5","label":null,"prefix":null,"suffix":"lb/ft","section":"Loading","hidden":false,"hero":false,"slider":{"min":5,"max":200,"step":5},"value":20,"display":"20"},{"text":"live load = 40 // lb/ft 10..500","label":null,"prefix":null,"suffix":"lb/ft","section":"Loading","hidden":false,"hero":false,"slider":{"min":10,"max":500,"step":1},"value":40,"display":"40"},{"text":"total distributed load = dead_load + live_load // lb/ft","label":null,"prefix":null,"suffix":"lb/ft","section":"Loading","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"max bending moment = (total_distributed_load * beam_span^2) / 8 // ft·lb @hero","label":null,"prefix":null,"suffix":"ft·lb","section":"Results","hidden":false,"hero":true,"slider":null,"value":750,"display":"750"},{"text":"max shear force = (total_distributed_load * beam_span) / 2 // lb","label":null,"prefix":null,"suffix":"lb","section":"Results","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"section modulus = (beam_width * beam_depth^2) / 6 // in³","label":null,"prefix":null,"suffix":"in³","section":"Results","hidden":false,"hero":false,"slider":null,"value":144,"display":"144"},{"text":"max deflection = (5 * total_distributed_load * (beam_span * 12)^4) / (384 * 1700000 * (beam_width * beam_depth^3 / 12)) // in","label":null,"prefix":null,"suffix":"in","section":"Results","hidden":false,"hero":false,"slider":null,"value":0.11029411764705882,"display":"0.1103"}]},{"id":"beat-matching-bpm-transition","title":"Beat Matching Bpm Transition","description":"Calculate the pitch adjustment percentage needed to match two tracks of different BPM.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.081Z"},"rows":[{"text":"current_bpm = 120","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"target_bpm = 128","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"@hero pitch_adjustment_percent = ((target_bpm / current_bpm) - 1) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6.66666666666666,"display":"6.6667"}]},{"id":"beef-vs-plant-protein-footprint","title":"Beef vs Plant Protein Footprint","description":"Compare the carbon footprint of animal vs plant protein.","category":"science","icon":"beef","tags":["eco","protein","carbon"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.082Z"},"rows":[{"text":"protein_needed_grams = 50 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"beef_co2_per_gram_protein = 0.5 // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"lentil_co2_per_gram_protein = 0.01 // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"beef_total_co2 = protein_needed_grams * beef_co2_per_gram_protein // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"lentil_total_co2 = protein_needed_grams * lentil_co2_per_gram_protein // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"@hero carbon_savings_by_choosing_lentils = beef_total_co2 - lentil_total_co2 // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":true,"slider":null,"value":24.5,"display":"24.5"}]},{"id":"beer-final-gravity-correction","title":"Beer Final Gravity Correction","description":"Correct beer final gravity from refractometer Brix readings during fermentation.","category":"science","icon":"beer","tags":["gravity","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.082Z"},"rows":[{"text":"original_gravity_brix = 13","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":13,"display":"13"},{"text":"final_gravity_brix = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"@hero corrected_final_gravity = 1.0000 - 0.004493 * original_gravity_brix + 0.011774 * final_gravity_brix","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.024009,"display":"1.024"}]},{"id":"beer-priming-sugar","title":"Beer Priming Sugar","description":"Calculate priming sugar in grams for bottle-conditioned beer carbonation.","category":"other","icon":"beer","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.082Z"},"rows":[{"text":"beer_volume_liters = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"desired_volumes_of_carbonation = 2.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"beer_temperature_celsius = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"residual_carbon_dioxide = 1.2 * (2.71828 ** (-0.019 * beer_temperature_celsius))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.8206339008154173,"display":"0.8206"},{"text":"sugar_needed_grams = (desired_volumes_of_carbonation - residual_carbon_dioxide) * 4 * beer_volume_liters","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":134.34928793476664,"display":"134.3493"}]},{"id":"belt-drive-length-tension","title":"Belt Drive Length","description":"Calculate required belt length for a two-pulley drive.","category":"engineering","icon":"circle","tags":["engineering","mechanical","drive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.082Z"},"rows":[{"text":"pulley_1_diameter_inches = 4 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"pulley_2_diameter_inches = 10 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"center_distance_inches = 20 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero belt_length_inches = (2 * center_distance_inches) + (1.57 * (pulley_1_diameter_inches + pulley_2_diameter_inches)) + (((pulley_2_diameter_inches - pulley_1_diameter_inches)^2) / (4 * center_distance_inches)) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":62.43,"display":"62.43"}]},{"id":"benjamin-graham-formula-value","title":"Benjamin Graham Formula Value","description":"Estimate a stock's intrinsic value using the Benjamin Graham formula.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.083Z"},"rows":[{"text":"earnings_per_share = 5.00","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"expected_growth_rate = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"corporate_bond_yield = 0.04","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"},{"text":"intrinsic_value = (earnings_per_share * (8.5 + 2 * expected_growth_rate * 100) * 4.4) / (corporate_bond_yield * 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":101.75,"display":"101.75"}]},{"id":"bernoulli-principle-venturi","title":"Bernoulli Principle Venturi","description":"Calculate pressure change in a Venturi tube throat.","category":"engineering","icon":"wind","tags":["engineering","fluids","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.083Z"},"rows":[{"text":"inlet_velocity_m_per_s = 1 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"inlet_pressure_pa = 200000 // Pa","label":null,"prefix":null,"suffix":"Pa","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"throat_velocity_m_per_s = 4 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"fluid_density_kg_m3 = 1000 // kg/m3","label":null,"prefix":null,"suffix":"kg/m3","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"@hero throat_pressure_pa = inlet_pressure_pa - 0.5 * fluid_density_kg_m3 * (throat_velocity_m_per_s^2 - inlet_velocity_m_per_s^2) // Pa","label":null,"prefix":null,"suffix":"Pa","section":null,"hidden":false,"hero":true,"slider":null,"value":192500,"display":"192,500"}]},{"id":"bernoullis-principle-fluid-flow","title":"Bernoullis Principle Fluid Flow","description":"Calculate fluid pressure at a second point using Bernoulli's principle.","category":"education","icon":"book-open","tags":["flow"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.083Z"},"rows":[{"text":"fluid_density = 1000 // kg/m^3 (water)","label":null,"prefix":null,"suffix":"kg/m^3 (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"velocity_1 = 2 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"pressure_1 = 200000 // Pascals","label":null,"prefix":null,"suffix":"Pascals","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"velocity_2 = 5 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero pressure_2 = pressure_1 + 0.5 * fluid_density * (velocity_1^2 - velocity_2^2) // Pascals","label":null,"prefix":null,"suffix":"Pascals","section":null,"hidden":false,"hero":true,"slider":null,"value":189500,"display":"189,500"}]},{"id":"beta-coefficient-stock","title":"Beta Coefficient Stock","description":"Calculate a stock's beta from stock return, market return, and risk-free rate.","category":"finance","icon":"dollar-sign","tags":["coefficient","stock","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.083Z"},"rows":[{"text":"stock_return = 0.12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"market_return = 0.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"risk_free_rate = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"beta = (stock_return - risk_free_rate) / (market_return - risk_free_rate)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.2857142857142858,"display":"1.2857"}]},{"id":"bicycle-cadence-to-speed","title":"Bicycle Cadence To Speed","description":"Calculate bicycle speed in mph from cadence, gear ratio, and wheel circumference.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.084Z"},"rows":[{"text":"cadence_rpm = 90","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"chainring_teeth = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"cog_teeth = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"wheel_circumference_millimeters = 2100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2100,"display":"2,100"},{"text":"gear_ratio = chainring_teeth / cog_teeth","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.3333333333333335,"display":"3.3333"},{"text":"distance_per_minute_mm = cadence_rpm * gear_ratio * wheel_circumference_millimeters","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":630000,"display":"630,000"},{"text":"@hero speed_miles_per_hour = (distance_per_minute_mm * 60) / (25.4 * 12 * 5280)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":23.487831066571225,"display":"23.4878"}]},{"id":"big-mac-index-valuation","title":"Big Mac Index Valuation","description":"Estimate currency over- or under-valuation using The Economist's Big Mac index.","category":"business","icon":"briefcase","tags":["index","valuation","business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.084Z"},"rows":[{"text":"price_big_mac_local = 6.50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.5,"display":"6.5"},{"text":"price_big_mac_us = 5.60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5.6,"display":"5.6"},{"text":"actual_exchange_rate = 1.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.1,"display":"1.1"},{"text":"implied_exchange_rate = price_big_mac_local / price_big_mac_us","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.1607142857142858,"display":"1.1607"},{"text":"valuation = (actual_exchange_rate / implied_exchange_rate) - 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":-0.0523076923076924,"display":"-0.0523"}]},{"id":"big-o-complexity-growth","title":"Big O Complexity Growth","description":"Compare growth rates of common Big-O complexities at a given input size.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.084Z"},"rows":[{"text":"# Input Size","label":null,"prefix":null,"suffix":null,"section":"Input Size","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 100 // size","label":null,"prefix":null,"suffix":"size","section":"Input Size","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"# Complexities","label":null,"prefix":null,"suffix":null,"section":"Complexities","hero":false,"slider":null,"value":null,"display":null},{"text":"o log n = log2(n) // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":6.643856189774725,"display":"6.6439"},{"text":"o n = n // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"o n log n = n * log2(n) // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":664.3856189774725,"display":"664.3856"},{"text":"o n squared = n^2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":10000,"display":"10,000"},{"text":"o 2 to the n = 2^n // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":1.2676506002282294e+30,"display":"1.2677e30"}]},{"id":"billable-hour-annual-income","title":"Billable Hour Annual Income","description":"Calculate gross annual income from hourly rate and weekly billable hours.","category":"productivity","icon":"clock","tags":["income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.084Z"},"rows":[{"text":"hourly_rate = 100 // dollars per hour","label":null,"prefix":null,"suffix":"dollars per hour","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"billable_hours_per_week = 25 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"weeks_per_year = 48 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"@hero gross_annual_income = hourly_rate * billable_hours_per_week * weeks_per_year // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":120000,"display":"120,000"}]},{"id":"binary-search-depth","title":"Binary Search Depth","description":"Calculate the maximum number of comparisons binary search needs for N elements.","category":"math","icon":"search","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.085Z"},"rows":[{"text":"# Collection Size","label":null,"prefix":null,"suffix":null,"section":"Collection Size","hero":false,"slider":null,"value":null,"display":null},{"text":"number of elements = 1000000 // N","label":null,"prefix":null,"suffix":"N","section":"Collection Size","hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"max comparisons = ceil(log2(number of elements))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"binomial-distribution","title":"Binomial Distribution","description":"Probability of exactly k successes in n independent trials: P = C(n,k)·pᵏ·(1−p)^(n−k).","category":"formulas","icon":"sigma","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.085Z"},"rows":[{"text":"# Parameters","label":null,"prefix":null,"suffix":null,"section":"Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 10 // 1..100","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"10"},{"text":"k = 3 // 0..100","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":3,"display":"3"},{"text":"p = 0.5 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.5,"display":"0.5"},{"text":"# Binomial coefficient","label":null,"prefix":null,"suffix":null,"section":"Binomial coefficient","hero":false,"slider":null,"value":null,"display":null},{"text":"binomial = factorial(n) / (factorial(k) * factorial(n - k)) // @label(C(n,k))","label":"C(n,k)","prefix":null,"suffix":null,"section":"Binomial coefficient","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"# Probability","label":null,"prefix":null,"suffix":null,"section":"Probability","hero":false,"slider":null,"value":null,"display":null},{"text":"probability = binomial * p^k * (1 - p)^(n - k) // @label(P(X = k))","label":"P(X = k)","prefix":null,"suffix":null,"section":"Probability","hidden":false,"hero":true,"slider":null,"value":0.1171875,"display":"0.1172"}]},{"id":"binomial-expansion","title":"Binomial Coefficient","description":"Compute the binomial coefficient C(n, k) = n! / (k! · (n−k)!).","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.085Z"},"rows":[{"text":"# n choose k","label":null,"prefix":null,"suffix":null,"section":"n choose k","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 10 // 0..50","label":null,"prefix":null,"suffix":null,"section":"n choose k","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":10,"display":"10"},{"text":"k = 3 // 0..50","label":null,"prefix":null,"suffix":null,"section":"n choose k","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":3,"display":"3"},{"text":"# Binomial coefficient","label":null,"prefix":null,"suffix":null,"section":"Binomial coefficient","hero":false,"slider":null,"value":null,"display":null},{"text":"coefficient = factorial(n) / (factorial(k) * factorial(n - k)) // @label(C(n,k))","label":"C(n,k)","prefix":null,"suffix":null,"section":"Binomial coefficient","hidden":false,"hero":true,"slider":null,"value":120,"display":"120"}]},{"id":"biomass-energy-content","title":"Biomass Energy Content","description":"Calculate energy content of wood or biomass based on moisture.","category":"science","icon":"flame","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.085Z"},"rows":[{"text":"wood_weight_kg = 100 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"moisture_percent = 20 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"energy_content_dry_mj_per_kg = 19 // MJ per kg","label":null,"prefix":null,"suffix":"MJ per kg","section":null,"hidden":false,"hero":false,"slider":null,"value":19,"display":"19"},{"text":"dry_weight = wood_weight_kg * (1 - moisture_percent / 100) // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"@hero total_energy_content_mj = dry_weight * energy_content_dry_mj_per_kg // MJ","label":null,"prefix":null,"suffix":"MJ","section":null,"hidden":false,"hero":true,"slider":null,"value":1520,"display":"1,520"},{"text":"energy_in_kwh = total_energy_content_mj / 3.6 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":422.22222222222223,"display":"422.2222"}]},{"id":"bird-seed-mix-ratio","title":"Bird Seed Mix Ratio","description":"Calculate component weights for a bird seed mix from percentages and total weight.","category":"math","icon":"bird","tags":["seed","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.085Z"},"rows":[{"text":"sunflower_seeds_percentage = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"millet_percentage = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"cracked_corn_percentage = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"total_mix_weight_kilograms = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"sunflower_weight = total_mix_weight_kilograms * (sunflower_seeds_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"millet_weight = total_mix_weight_kilograms * (millet_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"corn_weight = total_mix_weight_kilograms * (cracked_corn_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"}]},{"id":"birthday-problem","title":"Birthday Problem","description":"Probability that two people in a group share a birthday.","category":"education","icon":"cake","tags":["probability","statistics","birthday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.086Z"},"rows":[{"text":"# People in the Room","label":null,"prefix":null,"suffix":null,"section":"People in the Room","hero":false,"slider":null,"value":null,"display":null},{"text":"people = 23 // 2..100","label":null,"prefix":null,"suffix":null,"section":"People in the Room","hidden":false,"hero":false,"slider":{"min":2,"max":100,"step":1},"value":23,"display":"23"},{"text":"# Probability Math","label":null,"prefix":null,"suffix":null,"section":"Probability Math","hero":false,"slider":null,"value":null,"display":null},{"text":"_days = 365","label":null,"prefix":null,"suffix":null,"section":"Probability Math","hidden":true,"hero":false,"slider":null,"value":365,"display":"365"},{"text":"_exponent = -people * (people - 1) / (2 * days)","label":null,"prefix":null,"suffix":null,"section":"Probability Math","hidden":true,"hero":false,"slider":null,"value":-0.6931506849315069,"display":"-0.6932"},{"text":"prob no match = E^exponent // @label(P(all unique))","label":"P(all unique)","prefix":null,"suffix":null,"section":"Probability Math","hidden":false,"hero":false,"slider":null,"value":0.49999824781728935,"display":"0.5"},{"text":"prob at least one match = 1 - prob no match // @hero @label(P(any 2 share birthday))","label":"P(any 2 share birthday)","prefix":null,"suffix":null,"section":"Probability Math","hidden":false,"hero":true,"slider":null,"value":0.5000017521827106,"display":"0.5"},{"text":"# Percentage","label":null,"prefix":null,"suffix":null,"section":"Percentage","hero":false,"slider":null,"value":null,"display":null},{"text":"match percent = round(prob at least one match * 100, 1) // % @label(Probability of a match)","label":"Probability of a match","prefix":null,"suffix":"%","section":"Percentage","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"# Reference Counts","label":null,"prefix":null,"suffix":null,"section":"Reference Counts","hero":false,"slider":null,"value":null,"display":null},{"text":"people for 50 percent = ceil(sqrt(2 * days * ln(2))) // @label(People needed for 50% odds)","label":"People needed for 50% odds","prefix":null,"suffix":null,"section":"Reference Counts","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"people for 99 percent = ceil(sqrt(2 * days * ln(100))) // @label(People needed for 99% odds)","label":"People needed for 99% odds","prefix":null,"suffix":null,"section":"Reference Counts","hidden":false,"hero":false,"slider":null,"value":58,"display":"58"}]},{"id":"bits-to-terabytes-converter","title":"Bits To Terabytes Converter","description":"Convert a total number of bits to terabytes.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.086Z"},"rows":[{"text":"total_bits = 10000000000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000000000000,"display":"10,000,000,000,000"},{"text":"@hero terabytes = total_bits / (8 * 10^12)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.25,"display":"1.25"}]},{"id":"black-hole-event-horizon","title":"Black Hole Event Horizon","description":"Calculate a black hole's Schwarzschild radius in meters from its mass in solar masses.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.086Z"},"rows":[{"text":"mass_solar_masses = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"solar_mass_kilograms = 1.989e30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.989e+30,"display":"1.989e30"},{"text":"gravitational_constant = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"speed_of_light = 299792458","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"schwarzschild_radius_meters = (2 * gravitational_constant * mass_solar_masses * solar_mass_kilograms) / speed_of_light^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":29539.93771397716,"display":"29,539.9377"}]},{"id":"black-hole-schwarzschild-radius","title":"Black Hole Schwarzschild Radius","description":"Calculate the Schwarzschild radius of a black hole in kilometers from its mass.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.086Z"},"rows":[{"text":"object_mass_kilograms = 1.989e30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.989e+30,"display":"1.989e30"},{"text":"gravitational_constant = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"speed_of_light = 299792458","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"schwarzschild_radius_meters = (2 * gravitational_constant * object_mass_kilograms) / (speed_of_light ** 2)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2953.993771397716,"display":"2,953.9938"},{"text":"schwarzschild_radius_kilometers = schwarzschild_radius_meters / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.953993771397716,"display":"2.954"}]},{"id":"black-jack-basic-strategy-odds","title":"Black Jack Basic Strategy Odds","description":"Estimate the house edge in blackjack from deck count and dealer soft-17 rules.","category":"other","icon":"calculator","tags":["strategy","odds"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.087Z"},"rows":[{"text":"# Rules","label":null,"prefix":null,"suffix":null,"section":"Rules","hero":false,"slider":null,"value":null,"display":null},{"text":"number of decks = 6 // 1..8","label":null,"prefix":null,"suffix":null,"section":"Rules","hidden":false,"hero":false,"slider":{"min":1,"max":8,"step":0.1},"value":6,"display":"6"},{"text":"dealer hits soft 17 = 1 // toggle()","label":null,"prefix":null,"suffix":null,"section":"Rules","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Base Edge","label":null,"prefix":null,"suffix":null,"section":"Base Edge","hero":false,"slider":null,"value":null,"display":null},{"text":"base edge = 0.5 // % (typical)","label":null,"prefix":null,"suffix":"% (typical)","section":"Base Edge","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_deck_penalty = (number of decks - 1) * 0.02","label":null,"prefix":null,"suffix":null,"section":"Base Edge","hidden":true,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"_rule_penalty = dealer hits soft 17 * 0.2","label":null,"prefix":null,"suffix":null,"section":"Base Edge","hidden":true,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"total house edge = base edge + deck_penalty + rule_penalty // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":true,"slider":null,"value":0.8,"display":"0.8"}]},{"id":"black-scholes-model","title":"Black Scholes Model","description":"Calculate Black-Scholes call and put option prices with intrinsic and time value.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.087Z"},"rows":[{"text":"# Option Parameters","label":null,"prefix":null,"suffix":null,"section":"Option Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"$stock price = 100 // 1..1k","label":null,"prefix":"$","suffix":null,"section":"Option Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":100,"display":"$100.00"},{"text":"$strike price = 100 // 1..1k","label":null,"prefix":"$","suffix":null,"section":"Option Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":100,"display":"$100.00"},{"text":"time to expiration = 1 // years 0.1..5 by 0.1","label":null,"prefix":null,"suffix":"years","section":"Option Parameters","hidden":false,"hero":false,"slider":{"min":0.1,"max":5,"step":0.1},"value":1,"display":"1"},{"text":"risk free rate = 5 // % 0..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Option Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.1},"value":5,"display":"5"},{"text":"volatility = 20 // % 1..100","label":null,"prefix":null,"suffix":"%","section":"Option Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":20,"display":"20"},{"text":"# Intermediate Steps (Black-Scholes d1, d2)","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hero":false,"slider":null,"value":null,"display":null},{"text":"_s = stock price","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hidden":true,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"_k = strike price","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hidden":true,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"_t = time to expiration","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hidden":true,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"_r = risk free rate / 100","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hidden":true,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"_v = volatility / 100","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hidden":true,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"_d1 = (ln(s / k) + (r + v^2 / 2) * t) / (v * sqrt(t))","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hidden":true,"hero":false,"slider":null,"value":0.35,"display":"0.35"},{"text":"_d2 = d1 - v * sqrt(t)","label":null,"prefix":null,"suffix":null,"section":"Intermediate Steps (Black-Scholes d1, d2)","hidden":true,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"# Normal CDF Approximation (Logistic)","label":null,"prefix":null,"suffix":null,"section":"Normal CDF Approximation (Logistic)","hero":false,"slider":null,"value":null,"display":null},{"text":"# N(x) approx 1 / (1 + exp(-1.6 * x))","label":null,"prefix":null,"suffix":null,"section":"N(x) approx 1 / (1 + exp(-1.6 * x))","hero":false,"slider":null,"value":null,"display":null},{"text":"_n_d1 = 1 / (1 + exp(-1.6 * d1))","label":null,"prefix":null,"suffix":null,"section":"N(x) approx 1 / (1 + exp(-1.6 * x))","hidden":true,"hero":false,"slider":null,"value":0.6364525402815664,"display":"0.6365"},{"text":"_n_d2 = 1 / (1 + exp(-1.6 * d2))","label":null,"prefix":null,"suffix":null,"section":"N(x) approx 1 / (1 + exp(-1.6 * x))","hidden":true,"hero":false,"slider":null,"value":0.5597136492671929,"display":"0.5597"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$call option price = s * n_d1 - k * exp(-r * t) * n_d2 // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":10.40364478039402,"display":"$10.40"},{"text":"$put option price = call option price + k * exp(-r * t) - s","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":5.52658723046542,"display":"$5.53"},{"text":"$intrinsic value = if(s > k, s - k, 0)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":0,"display":"$0.00"},{"text":"$time value = call option price - intrinsic value","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":10.40364478039402,"display":"$10.40"}]},{"id":"block-wall-estimator","title":"Block Wall Estimator","description":"Estimate the number of standard CMU blocks needed for a wall, including waste.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.087Z"},"rows":[{"text":"# Wall Dimensions","label":null,"prefix":null,"suffix":null,"section":"Wall Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"wall length = 30 // feet 1..500","label":null,"prefix":null,"suffix":"feet","section":"Wall Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":30,"display":"30"},{"text":"wall height = 4 // feet 1..20","label":null,"prefix":null,"suffix":"feet","section":"Wall Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":20,"step":0.2},"value":4,"display":"4"},{"text":"# Block Dimensions (Standard CMU 16x8)","label":null,"prefix":null,"suffix":null,"section":"Block Dimensions (Standard CMU 16x8)","hero":false,"slider":null,"value":null,"display":null},{"text":"block length = 16 // inches","label":null,"prefix":null,"suffix":"inches","section":"Block Dimensions (Standard CMU 16x8)","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"block height = 8 // inches","label":null,"prefix":null,"suffix":"inches","section":"Block Dimensions (Standard CMU 16x8)","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_block_area_square_inches = block length * block height","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"_wall_area_square_feet = wall length * wall height","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"_wall_area_square_inches = wall_area_square_feet * 144","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":17280,"display":"17,280"},{"text":"total blocks needed = roundup(wall_area_square_inches / block_area_square_inches) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":135,"display":"135"},{"text":"waste factor percent = 5 // 0..20","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":5,"display":"5"},{"text":"total blocks with waste = roundup(total blocks needed * (1 + waste factor percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":142,"display":"142"}]},{"id":"blood-alcohol-content","title":"Blood Alcohol Content","description":"Estimate blood alcohol content using the Widmark formula from drinks, weight, and time.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.088Z"},"rows":[{"text":"# Consumption","label":null,"prefix":null,"suffix":null,"section":"Consumption","hero":false,"slider":null,"value":null,"display":null},{"text":"standard drinks = 3 // 0..20","label":null,"prefix":null,"suffix":null,"section":"Consumption","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":3,"display":"3"},{"text":"time since first drink = 2 // hours 0..24","label":null,"prefix":null,"suffix":"hours","section":"Consumption","hidden":false,"hero":false,"slider":{"min":0,"max":24,"step":1},"value":2,"display":"2"},{"text":"# Personal Stats","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Personal Stats","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Widmark Formula","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"alcohol grams = standard drinks * 14","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hidden":false,"hero":false,"slider":null,"value":42,"display":"42"},{"text":"weight grams = weight * 453.592","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hidden":false,"hero":false,"slider":null,"value":81646.56,"display":"81,646.56"},{"text":"gender constant = is male * 0.68 + (1 - is male) * 0.55","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hidden":false,"hero":false,"slider":null,"value":0.68,"display":"0.68"},{"text":"metabolic elimination = 0.015 * time since first drink","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"blood alcohol content = (alcohol grams / (weight grams * gender constant)) * 100 - metabolic elimination // @hero","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0.04564887716316884,"display":"0.0456"},{"text":"raw bac = max(0, blood alcohol content)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":0.04564887716316884,"display":"0.0456"}]},{"id":"bmi-calculator","title":"BMI Calculator","description":"Calculate your Body Mass Index from height and weight.","category":"health","icon":"weight","tags":["health"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-18T23:14:17.745Z"},"rows":[{"text":"weight = 180 lbs","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"height = 5'10\"","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5.833333333333334,"display":"5' 10\""},{"text":"bmi = weight / height^2 in kg/m^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":25.8270457827,"display":"25.827"}]},{"id":"board-game-point-multiplier","title":"Board Game Point Multiplier","description":"Calculate a final board game score with bonus multipliers and penalty factors.","category":"other","icon":"gamepad-2","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.088Z"},"rows":[{"text":"# Base Points","label":null,"prefix":null,"suffix":null,"section":"Base Points","hero":false,"slider":null,"value":null,"display":null},{"text":"resource points = 45","label":null,"prefix":null,"suffix":null,"section":"Base Points","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"territory points = 30","label":null,"prefix":null,"suffix":null,"section":"Base Points","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# Multipliers","label":null,"prefix":null,"suffix":null,"section":"Multipliers","hero":false,"slider":null,"value":null,"display":null},{"text":"bonus multiplier = 1.5 // x","label":null,"prefix":null,"suffix":"x","section":"Multipliers","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"penalty factor = 0.8 // x","label":null,"prefix":null,"suffix":"x","section":"Multipliers","hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"_raw_score = resource points + territory points","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":true,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"final score = (raw_score * bonus multiplier) * penalty factor","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":90,"display":"90"}]},{"id":"boat-fuel-range-reserve","title":"Boat Fuel Range Reserve","description":"Calculate a boat's cruising range in nautical miles after holding a fuel reserve.","category":"other","icon":"calculator","tags":["fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.089Z"},"rows":[{"text":"fuel_capacity_gallons = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"burn_rate_gallons_per_hour = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"speed_knots = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"reserve_percent = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"usable_fuel = fuel_capacity_gallons * (1 - reserve_percent / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"hours_of_run_time = usable_fuel / burn_rate_gallons_per_hour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.25,"display":"6.25"},{"text":"@hero range_nautical_miles = hours_of_run_time * speed_knots","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":125,"display":"125"}]},{"id":"body-adiposity-index","title":"Body Adiposity Index","description":"Calculate the Body Adiposity Index from hip circumference and height.","category":"health","icon":"activity","tags":["body","index","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.089Z"},"rows":[{"text":"# Measurements","label":null,"prefix":null,"suffix":null,"section":"Measurements","hero":false,"slider":null,"value":null,"display":null},{"text":"hip circumference = 100 // cm 60..180","label":null,"prefix":null,"suffix":"cm","section":"Measurements","hidden":false,"hero":false,"slider":{"min":60,"max":180,"step":1},"value":100,"display":"100"},{"text":"height = 175 // cm 100..250","label":null,"prefix":null,"suffix":"cm","section":"Measurements","hidden":false,"hero":false,"slider":{"min":100,"max":250,"step":1},"value":175,"display":"175"},{"text":"# Formula","label":null,"prefix":null,"suffix":null,"section":"Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"height meters = height / 100","label":null,"prefix":null,"suffix":null,"section":"Formula","hidden":false,"hero":false,"slider":null,"value":1.75,"display":"1.75"},{"text":"body adiposity index = (hip circumference / (height meters^1.5)) - 18 // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Formula","hidden":false,"hero":true,"slider":null,"value":25.19593977248312,"display":"25.1959"}]},{"id":"body-composition","title":"Body Composition","description":"Blood volume, body water, and red-cell count from body weight.","category":"health","icon":"droplet","tags":["body","hydration","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.089Z"},"rows":[{"text":"# You","label":null,"prefix":null,"suffix":null,"section":"You","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight lbs = 170 // lbs 50..400","label":null,"prefix":null,"suffix":"lbs","section":"You","hidden":false,"hero":false,"slider":{"min":50,"max":400,"step":1},"value":170,"display":"170"},{"text":"body weight kg = round(body weight lbs / 2.2046, 1) // @label(Body weight) @suffix(kg)","label":"Body weight","prefix":null,"suffix":null,"section":"You","hidden":false,"hero":false,"slider":null,"value":77.1,"display":"77.1"},{"text":"# Blood Volume (7% of body weight)","label":null,"prefix":null,"suffix":null,"section":"Blood Volume (7% of body weight)","hero":false,"slider":null,"value":null,"display":null},{"text":"blood pct = 7 // % 5..9 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Blood Volume (7% of body weight)","hidden":false,"hero":false,"slider":{"min":5,"max":9,"step":0.1},"value":7,"display":"7"},{"text":"_blood_kg = body weight kg * blood pct / 100 // kg","label":null,"prefix":null,"suffix":"kg","section":"Blood Volume (7% of body weight)","hidden":true,"hero":false,"slider":null,"value":5.397,"display":"5.397"},{"text":"blood liters = round(blood_kg / 1.06, 2) // @hero @label(Blood volume) @suffix(L)","label":"Blood volume","prefix":null,"suffix":null,"section":"Blood Volume (7% of body weight)","hidden":false,"hero":true,"slider":null,"value":5.09,"display":"5.09"},{"text":"blood pints = round(blood liters * 2.113, 1) // pt @label(Blood volume (US pints))","label":"Blood volume (US pints)","prefix":null,"suffix":"pt","section":"Blood Volume (7% of body weight)","hidden":false,"hero":false,"slider":null,"value":10.8,"display":"10.8"},{"text":"# Water (≈60% of body weight)","label":null,"prefix":null,"suffix":null,"section":"Water (≈60% of body weight)","hero":false,"slider":null,"value":null,"display":null},{"text":"water pct = 60 // % 45..75","label":null,"prefix":null,"suffix":"%","section":"Water (≈60% of body weight)","hidden":false,"hero":false,"slider":{"min":45,"max":75,"step":1},"value":60,"display":"60"},{"text":"water liters = round(body weight kg * water pct / 100, 1) // @label(Body water) @suffix(L)","label":"Body water","prefix":null,"suffix":null,"section":"Water (≈60% of body weight)","hidden":false,"hero":false,"slider":null,"value":46.3,"display":"46.3"},{"text":"# Reference","label":null,"prefix":null,"suffix":null,"section":"Reference","hero":false,"slider":null,"value":null,"display":null},{"text":"red cells trillion = round(blood liters * 5, 1) // T @label(Red blood cells (trillion))","label":"Red blood cells (trillion)","prefix":null,"suffix":"T","section":"Reference","hidden":false,"hero":false,"slider":null,"value":25.5,"display":"25.5"},{"text":"plasma liters = round(blood liters * 0.55, 2) // @label(Plasma volume) @suffix(L)","label":"Plasma volume","prefix":null,"suffix":null,"section":"Reference","hidden":false,"hero":false,"slider":null,"value":2.8,"display":"2.8"}]},{"id":"body-fat","title":"Body Fat Estimate","description":"Estimate body fat percentage using the Navy method.","category":"health","icon":"ruler","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.090Z"},"rows":[{"text":"# Measurements (Men — Navy Method)","label":null,"prefix":null,"suffix":null,"section":"Measurements (Men — Navy Method)","hero":false,"slider":null,"value":null,"display":null},{"text":"waist = 36 // inches 20..60","label":null,"prefix":null,"suffix":"inches","section":"Measurements (Men — Navy Method)","hidden":false,"hero":false,"slider":{"min":20,"max":60,"step":1},"value":36,"display":"36"},{"text":"neck = 16 // inches 10..25","label":null,"prefix":null,"suffix":"inches","section":"Measurements (Men — Navy Method)","hidden":false,"hero":false,"slider":{"min":10,"max":25,"step":0.2},"value":16,"display":"16"},{"text":"height = 70 // inches 48..84","label":null,"prefix":null,"suffix":"inches","section":"Measurements (Men — Navy Method)","hidden":false,"hero":false,"slider":{"min":48,"max":84,"step":1},"value":70,"display":"70"},{"text":"# Body Fat Estimate","label":null,"prefix":null,"suffix":null,"section":"Body Fat Estimate","hero":false,"slider":null,"value":null,"display":null},{"text":"body fat pct = round((86.010 * log10(waist - neck) - 70.041 * log10(height) + 36.76) * 10) / 10 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Body Fat Estimate","hidden":false,"hero":true,"slider":null,"value":19.4,"display":"19.4"},{"text":"# Body Composition","label":null,"prefix":null,"suffix":null,"section":"Body Composition","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Body Composition","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"fat mass = round(body weight * body fat pct / 100 * 10) / 10 // lbs","label":null,"prefix":null,"suffix":"lbs","section":"Body Composition","hidden":false,"hero":false,"slider":null,"value":34.9,"display":"34.9"},{"text":"lean mass = round((body weight - fat mass) * 10) / 10 // lbs","label":null,"prefix":null,"suffix":"lbs","section":"Body Composition","hidden":false,"hero":false,"slider":null,"value":145.1,"display":"145.1"}]},{"id":"boiling-point-elevation-colligative","title":"Boiling Point Elevation Colligative","description":"Calculate the boiling point elevation of a solution from molality and solvent constant.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.090Z"},"rows":[{"text":"van_t_hoff_factor = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"molality = 0.5 // mol/kg","label":null,"prefix":null,"suffix":"mol/kg","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"ebullioscopic_constant = 0.512 // C*kg/mol (water)","label":null,"prefix":null,"suffix":"C*kg/mol (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.512,"display":"0.512"},{"text":"@hero temperature_increase = van_t_hoff_factor * ebullioscopic_constant * molality // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":true,"slider":null,"value":0.256,"display":"0.256"}]},{"id":"bonus-tax-calculator","title":"Bonus Tax Calculator","description":"Calculate net bonus after federal supplemental, state, Social Security, and Medicare withholding.","category":"finance","icon":"dollar-sign","tags":["tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.090Z"},"rows":[{"text":"# Bonus Details","label":null,"prefix":null,"suffix":null,"section":"Bonus Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$bonus amount = 10000 // 500..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Bonus Details","hidden":false,"hero":false,"slider":{"min":500,"max":100000,"step":500},"value":10000,"display":"$10,000.00"},{"text":"federal supplemental tax rate = 22 // %","label":null,"prefix":null,"suffix":"%","section":"Bonus Details","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"},{"text":"state tax rate = 5 // %","label":null,"prefix":null,"suffix":"%","section":"Bonus Details","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"social security rate = 6.2 // %","label":null,"prefix":null,"suffix":"%","section":"Bonus Details","hidden":false,"hero":false,"slider":null,"value":6.2,"display":"6.2"},{"text":"medicare rate = 1.45 // %","label":null,"prefix":null,"suffix":"%","section":"Bonus Details","hidden":false,"hero":false,"slider":null,"value":1.45,"display":"1.45"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_federal_tax_withholding = bonus amount * (federal supplemental tax rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2200,"display":"$2,200.00"},{"text":"$_state_tax_withholding = bonus amount * (state tax rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":500,"display":"$500.00"},{"text":"$_social_security_withholding = bonus amount * (social security rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":620,"display":"$620.00"},{"text":"$_medicare_withholding = bonus amount * (medicare rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":145,"display":"$145.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$net bonus amount = bonus amount - federal_tax_withholding - state_tax_withholding - social_security_withholding - medicare_withholding // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":6535,"display":"$6,535.00"},{"text":"$total tax withheld = bonus amount - net bonus amount","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":3465,"display":"$3,465.00"},{"text":"effective tax rate = (total tax withheld / bonus amount) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":34.65,"display":"34.65"}]},{"id":"book-value-per-share","title":"Book Value Per Share","description":"Calculate book value per share and price-to-book ratio from equity and shares outstanding.","category":"other","icon":"book","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.091Z"},"rows":[{"text":"# Equity Data","label":null,"prefix":null,"suffix":null,"section":"Equity Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$total shareholders equity = 500000000 // 0..100B","label":null,"prefix":"$","suffix":null,"section":"Equity Data","hidden":false,"hero":false,"slider":{"min":0,"max":100000000000,"step":1000000000},"value":500000000,"display":"$500,000,000.00"},{"text":"$preferred stock = 50000000 // 0..10B","label":null,"prefix":"$","suffix":null,"section":"Equity Data","hidden":false,"hero":false,"slider":{"min":0,"max":10000000000,"step":100000000},"value":50000000,"display":"$50,000,000.00"},{"text":"shares outstanding = 10000000 // 1k..1B","label":null,"prefix":null,"suffix":null,"section":"Equity Data","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000000,"step":10000000},"value":10000000,"display":"10,000,000"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_common_equity = total shareholders equity - preferred stock","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":450000000,"display":"$450,000,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$book value per share = common_equity / shares outstanding // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":45,"display":"$45.00"},{"text":"$market price per share = 65 // 1..1k","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":65,"display":"$65.00"},{"text":"price to book ratio = market price per share / book value per share","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1.4444444444444444,"display":"1.4444"}]},{"id":"boss-enrage-timer-countdown","title":"Boss Enrage Timer Countdown","description":"Calculate time remaining before boss enrages.","category":"math","icon":"alert-triangle","tags":["gaming","timer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.091Z"},"rows":[{"text":"# Timer Settings","label":null,"prefix":null,"suffix":null,"section":"Timer Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"total fight time seconds = 600","label":null,"prefix":null,"suffix":null,"section":"Timer Settings","hidden":false,"hero":false,"slider":null,"value":600,"display":"600"},{"text":"elapsed time seconds = 450","label":null,"prefix":null,"suffix":null,"section":"Timer Settings","hidden":false,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_time_remaining_seconds = total fight time seconds - elapsed time seconds","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"time remaining minutes = time_remaining_seconds / 60","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":2.5,"display":"2.5"}]},{"id":"bowling-average-calculator","title":"Bowling Average Calculator","description":"Calculate bowling average over multiple games.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.091Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"total pins = 2150","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2150,"display":"2,150"},{"text":"total games = 12","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"bowling average = total pins / total games","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":179.16666666666666,"display":"179.1667"}]},{"id":"bowling-score-projector","title":"Bowling Score Projector","description":"Project a final bowling score from current frame, current score, and season average.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.092Z"},"rows":[{"text":"# Current Game","label":null,"prefix":null,"suffix":null,"section":"Current Game","hero":false,"slider":null,"value":null,"display":null},{"text":"current frame = 6 // 1..10","label":null,"prefix":null,"suffix":null,"section":"Current Game","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":6,"display":"6"},{"text":"current score = 120","label":null,"prefix":null,"suffix":null,"section":"Current Game","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"season average = 180","label":null,"prefix":null,"suffix":null,"section":"Current Game","hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_frames_remaining = 10 - current frame","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"_projected_remaining = frames_remaining * (season average / 10)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":72,"display":"72"},{"text":"projected final score = current score + projected_remaining","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":192,"display":"192"}]},{"id":"boxing-punch-accuracy","title":"Boxing Punch Accuracy","description":"Calculate boxing punch accuracy.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.092Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"punches landed = 120","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"punches thrown = 350","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"punch accuracy percentage = (punches landed / punches thrown) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":34.28571428571429,"display":"34.2857"}]},{"id":"boyles-law-pressure-volume","title":"Boyles Law Pressure Volume","description":"Calculate final gas volume after a pressure change at constant temperature using Boyle's Law.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.092Z"},"rows":[{"text":"pressure_initial = 1.0 // atm","label":null,"prefix":null,"suffix":"atm","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"volume_initial = 2.0 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"pressure_final = 2.0 // atm","label":null,"prefix":null,"suffix":"atm","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero volume_final = (pressure_initial * volume_initial) / pressure_final // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"brake-fluid-boiling-point","title":"Brake Fluid Boiling Point","description":"Estimate brake fluid boiling point degradation.","category":"engineering","icon":"settings","tags":["automotive","maintenance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.093Z"},"rows":[{"text":"# Fluid Stats","label":null,"prefix":null,"suffix":null,"section":"Fluid Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"dry boiling point fahrenheit = 450","label":null,"prefix":null,"suffix":null,"section":"Fluid Stats","hidden":false,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"wet boiling point fahrenheit = 300","label":null,"prefix":null,"suffix":null,"section":"Fluid Stats","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"months since change = 12","label":null,"prefix":null,"suffix":null,"section":"Fluid Stats","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_degradation_per_month = (dry boiling point fahrenheit - wet boiling point fahrenheit) / 24","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":6.25,"display":"6.25"},{"text":"estimated boiling point fahrenheit = dry boiling point fahrenheit - (months since change * degradation_per_month)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":375,"display":"375"}]},{"id":"braking-distance-initial-speed","title":"Braking Distance Initial Speed","description":"Calculate theoretical braking distance.","category":"engineering","icon":"settings","tags":["automotive","safety"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.093Z"},"rows":[{"text":"# Speed and Friction","label":null,"prefix":null,"suffix":null,"section":"Speed and Friction","hero":false,"slider":null,"value":null,"display":null},{"text":"initial speed miles per hour = 60","label":null,"prefix":null,"suffix":null,"section":"Speed and Friction","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"friction coefficient = 0.8","label":null,"prefix":null,"suffix":null,"section":"Speed and Friction","hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"gravity = 32.2 // feet per second squared","label":null,"prefix":null,"suffix":"feet per second squared","section":"Speed and Friction","hidden":false,"hero":false,"slider":null,"value":32.2,"display":"32.2"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_speed_feet_per_second = initial speed miles per hour * 1.46667","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":88.0002,"display":"88.0002"},{"text":"braking distance feet = (speed_feet_per_second ^ 2) / (2 * friction coefficient * gravity)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":150.31124223680126,"display":"150.3112"}]},{"id":"break-even-occupancy","title":"Break-Even Occupancy","description":"Find the minimum occupancy rate needed to cover all expenses.","category":"real-estate","icon":"bar-chart","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.093Z"},"rows":[{"text":"operatingExpenses = 20000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":20000,"display":"20,000"},{"text":"debtService = 30000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":30000,"display":"30,000"},{"text":"grossPotentialIncome = 80000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":80000,"display":"80,000"},{"text":"breakEvenOccupancyRate = ((operatingExpenses + debtService) / grossPotentialIncome) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":62.5,"display":"62.5"}]},{"id":"break-even","title":"Break-Even Analysis","description":"Find how many units you need to sell to cover your fixed and variable costs.","category":"business","icon":"chart-bar","tags":["revenue","profit"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.094Z"},"rows":[{"text":"# Revenue & Costs","label":null,"prefix":null,"suffix":null,"section":"Revenue & Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$price per unit = 49.99 // 1..500","label":null,"prefix":"$","suffix":null,"section":"Revenue & Costs","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":49.99,"display":"$49.99"},{"text":"$variable cost per unit = 22.50 // 0.01..400","label":null,"prefix":"$","suffix":null,"section":"Revenue & Costs","hidden":false,"hero":false,"slider":{"min":0.01,"max":400,"step":5},"value":22.5,"display":"$22.50"},{"text":"$fixed costs monthly = 15000 // 1k..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Revenue & Costs","hidden":false,"hero":false,"slider":{"min":1000,"max":100000,"step":500},"value":15000,"display":"$15,000.00"},{"text":"# Break-Even Analysis","label":null,"prefix":null,"suffix":null,"section":"Break-Even Analysis","hero":false,"slider":null,"value":null,"display":null},{"text":"$contribution margin = price_per_unit - variable_cost_per_unit","label":null,"prefix":"$","suffix":null,"section":"Break-Even Analysis","hidden":false,"hero":false,"slider":null,"value":27.49,"display":"$27.49"},{"text":"margin pct = (contribution_margin / price_per_unit) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Break-Even Analysis","hidden":false,"hero":false,"slider":null,"value":54.99099819963993,"display":"54.991"},{"text":"break even units = round(fixed_costs_monthly / contribution_margin) // @hero","label":null,"prefix":null,"suffix":null,"section":"Break-Even Analysis","hidden":false,"hero":true,"slider":null,"value":546,"display":"546"},{"text":"$break even revenue = break_even_units * price_per_unit","label":null,"prefix":"$","suffix":null,"section":"Break-Even Analysis","hidden":false,"hero":false,"slider":null,"value":27294.54,"display":"$27,294.54"},{"text":"# Profit Targets","label":null,"prefix":null,"suffix":null,"section":"Profit Targets","hero":false,"slider":null,"value":null,"display":null},{"text":"$target monthly profit = 10000 // 1k..200k by 1k","label":null,"prefix":"$","suffix":null,"section":"Profit Targets","hidden":false,"hero":false,"slider":{"min":1000,"max":200000,"step":1000},"value":10000,"display":"$10,000.00"},{"text":"units for target profit = round((fixed_costs_monthly + target_monthly_profit) / contribution_margin)","label":null,"prefix":null,"suffix":null,"section":"Profit Targets","hidden":false,"hero":false,"slider":null,"value":909,"display":"909"},{"text":"$revenue for target = units_for_target_profit * price_per_unit","label":null,"prefix":"$","suffix":null,"section":"Profit Targets","hidden":false,"hero":false,"slider":null,"value":45440.91,"display":"$45,440.91"}]},{"id":"brick-wall-estimator","title":"Brick Wall Estimator","description":"Estimate the number of bricks needed for a wall, including mortar joints and waste.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.094Z"},"rows":[{"text":"# Wall Dimensions","label":null,"prefix":null,"suffix":null,"section":"Wall Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"wall length = 20 // feet 1..500","label":null,"prefix":null,"suffix":"feet","section":"Wall Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":20,"display":"20"},{"text":"wall height = 8 // feet 1..50","label":null,"prefix":null,"suffix":"feet","section":"Wall Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":8,"display":"8"},{"text":"# Brick Dimensions (including mortar joint)","label":null,"prefix":null,"suffix":null,"section":"Brick Dimensions (including mortar joint)","hero":false,"slider":null,"value":null,"display":null},{"text":"brick length = 8 // inches","label":null,"prefix":null,"suffix":"inches","section":"Brick Dimensions (including mortar joint)","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"brick height = 2.25 // inches","label":null,"prefix":null,"suffix":"inches","section":"Brick Dimensions (including mortar joint)","hidden":false,"hero":false,"slider":null,"value":2.25,"display":"2.25"},{"text":"mortar joint = 0.5 // inches","label":null,"prefix":null,"suffix":"inches","section":"Brick Dimensions (including mortar joint)","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_effective_brick_length = brick length + mortar joint","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":8.5,"display":"8.5"},{"text":"_effective_brick_height = brick height + mortar joint","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2.75,"display":"2.75"},{"text":"_brick_area_square_inches = effective_brick_length * effective_brick_height","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":23.375,"display":"23.375"},{"text":"_wall_area_square_feet = wall length * wall height","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":160,"display":"160"},{"text":"_wall_area_square_inches = wall_area_square_feet * 144","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":23040,"display":"23,040"},{"text":"total bricks needed = roundup(wall_area_square_inches / brick_area_square_inches) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":986,"display":"986"},{"text":"waste factor percent = 10 // 0..25","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":{"min":0,"max":25,"step":1},"value":10,"display":"10"},{"text":"total bricks with waste = roundup(total bricks needed * (1 + waste factor percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":1085,"display":"1,085"}]},{"id":"brine-salt-percentage","title":"Brine Salt Percentage","description":"Calculate brine salt percentage from water volume and salt weight.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.094Z"},"rows":[{"text":"water_volume_milliliters = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"salt_weight_grams = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"@hero salt_percentage = (salt_weight_grams / (water_volume_milliliters + salt_weight_grams)) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.761904761904762,"display":"4.7619"}]},{"id":"btu-air-conditioner-sizing","title":"Btu Air Conditioner Sizing","description":"Estimate BTU air conditioner size needed from room area, occupants, and sun exposure.","category":"other","icon":"calculator","tags":["air"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.094Z"},"rows":[{"text":"# Room Info","label":null,"prefix":null,"suffix":null,"section":"Room Info","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 20 // feet","label":null,"prefix":null,"suffix":"feet","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"width = 15 // feet","label":null,"prefix":null,"suffix":"feet","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"occupants = 2 // 1..10","label":null,"prefix":null,"suffix":null,"section":"Room Info","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":2,"display":"2"},{"text":"is kitchen = 0 // toggle()","label":null,"prefix":null,"suffix":null,"section":"Room Info","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"is sunny = 0 // toggle()","label":null,"prefix":null,"suffix":null,"section":"Room Info","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Base BTU","label":null,"prefix":null,"suffix":null,"section":"Base BTU","hero":false,"slider":null,"value":null,"display":null},{"text":"_area = length * width","label":null,"prefix":null,"suffix":null,"section":"Base BTU","hidden":true,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"_base_btu = area * 20","label":null,"prefix":null,"suffix":null,"section":"Base BTU","hidden":true,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"# Adjustments","label":null,"prefix":null,"suffix":null,"section":"Adjustments","hero":false,"slider":null,"value":null,"display":null},{"text":"_occupant_adjustment = max(0, occupants - 2) * 600","label":null,"prefix":null,"suffix":null,"section":"Adjustments","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_kitchen_adjustment = is kitchen * 4000","label":null,"prefix":null,"suffix":null,"section":"Adjustments","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_subtotal_btu = base_btu + occupant_adjustment + kitchen_adjustment","label":null,"prefix":null,"suffix":null,"section":"Adjustments","hidden":true,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"_sun_adjustment = is sunny * (subtotal_btu * 0.1)","label":null,"prefix":null,"suffix":null,"section":"Adjustments","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"total btu needed = roundup(subtotal_btu + sun_adjustment) // @hero","label":null,"prefix":null,"suffix":null,"section":"Adjustments","hidden":false,"hero":true,"slider":null,"value":6000,"display":"6,000"},{"text":"# Common Unit Size","label":null,"prefix":null,"suffix":null,"section":"Common Unit Size","hero":false,"slider":null,"value":null,"display":null},{"text":"# ACs are often sold in 1000s","label":null,"prefix":null,"suffix":null,"section":"ACs are often sold in 1000s","hero":false,"slider":null,"value":null,"display":null},{"text":"recommended ac size = roundup(total btu needed / 1000) * 1000","label":null,"prefix":null,"suffix":null,"section":"ACs are often sold in 1000s","hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"}]},{"id":"bubble-wrap-pop-time","title":"Bubble Wrap Pop Time","description":"Calculate how long it takes to pop a sheet of bubble wrap at a given rate.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.095Z"},"rows":[{"text":"number_of_bubbles = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"pops_per_second = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"time_minutes = (number_of_bubbles / pops_per_second) / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.8333333333333334,"display":"0.8333"}]},{"id":"buckling-load-euler-column","title":"Buckling Load Euler Column","description":"Calculate critical buckling load for structural columns.","category":"engineering","icon":"layers","tags":["engineering","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.095Z"},"rows":[{"text":"elastic_modulus_psi = 29000000 // psi (steel)","label":null,"prefix":null,"suffix":"psi (steel)","section":null,"hidden":false,"hero":false,"slider":null,"value":29000000,"display":"29,000,000"},{"text":"moment_of_inertia_in4 = 0.5 // in^4","label":null,"prefix":null,"suffix":"in^4","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"column_length_inches = 60 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"end_condition_factor_k = 1 // 1 for pinned-pinned","label":null,"prefix":null,"suffix":"1 for pinned-pinned","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero critical_buckling_load_lbs = (3.14159^2 * elastic_modulus_psi * moment_of_inertia_in4) / ((end_condition_factor_k * column_length_inches)^2) // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":true,"slider":null,"value":39752.50612706944,"display":"39,752.5061"}]},{"id":"buff-duration-extension","title":"Buff Duration Extension","description":"Calculate extended buff duration.","category":"math","icon":"clock","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.095Z"},"rows":[{"text":"# Buff Settings","label":null,"prefix":null,"suffix":null,"section":"Buff Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base duration seconds = 30","label":null,"prefix":null,"suffix":null,"section":"Buff Settings","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"buff duration bonus percent = 25 // %","label":null,"prefix":null,"suffix":"%","section":"Buff Settings","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"extended duration seconds = base duration seconds * (1 + (buff duration bonus percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":37.5,"display":"37.5"}]},{"id":"burn-rate-startup","title":"Burn Rate Startup","description":"Calculate a startup's monthly burn rate and runway from cash balances.","category":"science","icon":"flame","tags":["burn","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.095Z"},"rows":[{"text":"# Startup Cash","label":null,"prefix":null,"suffix":null,"section":"Startup Cash","hero":false,"slider":null,"value":null,"display":null},{"text":"$starting cash balance = 500000 // 10k..10M","label":null,"prefix":"$","suffix":null,"section":"Startup Cash","hidden":false,"hero":false,"slider":{"min":10000,"max":10000000,"step":100000},"value":500000,"display":"$500,000.00"},{"text":"$ending cash balance = 350000 // 0..10M","label":null,"prefix":"$","suffix":null,"section":"Startup Cash","hidden":false,"hero":false,"slider":{"min":0,"max":10000000,"step":100000},"value":350000,"display":"$350,000.00"},{"text":"number of months = 6 // months 1..24","label":null,"prefix":null,"suffix":"months","section":"Startup Cash","hidden":false,"hero":false,"slider":{"min":1,"max":24,"step":1},"value":6,"display":"6"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_total_cash_burned = starting cash balance - ending cash balance","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":150000,"display":"$150,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly burn rate = total_cash_burned / number of months // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":25000,"display":"$25,000.00"},{"text":"runway in months = ending cash balance / monthly burn rate","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"$annual burn = monthly burn rate * 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":300000,"display":"$300,000.00"}]},{"id":"burnout-risk-score","title":"Burnout Risk Score","description":"Estimate burnout risk from weekly work hours, stress, and autonomy levels.","category":"health","icon":"brain","tags":["risk"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.096Z"},"rows":[{"text":"work_hours_per_week = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"stress_level_1_to_10 = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"autonomy_level_1_to_10 = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"risk_score = (work_hours_per_week * stress_level_1_to_10) / autonomy_level_1_to_10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":133.33333333333334,"display":"133.3333"}]},{"id":"business-downtime-cost-per-minute","title":"Business Downtime Cost Per Minute","description":"Estimate the revenue cost of one hour of business downtime.","category":"productivity","icon":"clock","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.096Z"},"rows":[{"text":"annual_revenue = 1000000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"business_hours_per_year = 2080 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":2080,"display":"2,080"},{"text":"_revenue_per_minute = annual_revenue / (business_hours_per_year * 60)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":8.012820512820513,"display":"8.0128"},{"text":"@hero downtime_cost_60_minutes = revenue_per_minute * 60 // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":480.7692307692308,"display":"480.7692"}]},{"id":"bystander-effect-probability","title":"Bystander Effect Probability","description":"Calculate the probability that at least one bystander helps in an emergency.","category":"health","icon":"brain","tags":["effect","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.096Z"},"rows":[{"text":"number_of_bystanders = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"probability_of_help_per_person = 0.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"probability_anyone_helps = 1 - (1 - probability_of_help_per_person)^number_of_bystanders","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.4095099999999999,"display":"0.4095"}]},{"id":"cabinet-hardware-placement","title":"Cabinet Hardware Placement","description":"Calculate centering and offset for pulls and knobs.","category":"design","icon":"layout","tags":["design","woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.096Z"},"rows":[{"text":"door_height_inches = 30 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"door_width_inches = 15 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"pull_length_inches = 4 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"offset_from_edge_inches = 2 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero vertical_center_position_from_bottom = door_height_inches - offset_from_edge_inches - (pull_length_inches / 2) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":26,"display":"26"}]},{"id":"caffeine","title":"Caffeine Half-Life","description":"Track how much caffeine remains in your system over time based on your metabolism.","category":"health","icon":"coffee","tags":["coffee","sleep","half-life"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.096Z"},"rows":[{"text":"# Caffeine Metabolism","label":null,"prefix":null,"suffix":null,"section":"Caffeine Metabolism","hero":false,"slider":null,"value":null,"display":null},{"text":"half life = 5 // hours 2..10 by 0.5","label":null,"prefix":null,"suffix":"hours","section":"Caffeine Metabolism","hidden":false,"hero":false,"slider":{"min":2,"max":10,"step":0.5},"value":5,"display":"5"},{"text":"initial dose = 100 // mg 10..500","label":null,"prefix":null,"suffix":"mg","section":"Caffeine Metabolism","hidden":false,"hero":false,"slider":{"min":10,"max":500,"step":1},"value":100,"display":"100"},{"text":"hours since dose = 10 // hours 0..24","label":null,"prefix":null,"suffix":"hours","section":"Caffeine Metabolism","hidden":false,"hero":false,"slider":{"min":0,"max":24,"step":1},"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"decay constant = ln(2) / half life","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0.13862943611198905,"display":"0.1386"},{"text":"amount remaining = round(initial dose * E^(-decay constant * hours since dose) * 10) / 10 // mg @hero","label":null,"prefix":null,"suffix":"mg","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":25,"display":"25"},{"text":"percent remaining = round((amount remaining / initial dose) * 100) // %","label":null,"prefix":null,"suffix":"%","section":"Calculation","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"# Sleep Context","label":null,"prefix":null,"suffix":null,"section":"Sleep Context","hero":false,"slider":null,"value":null,"display":null},{"text":"midnight = 24","label":null,"prefix":null,"suffix":null,"section":"Sleep Context","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"dose time = 14 // 2pm","label":null,"prefix":null,"suffix":"2pm","section":"Sleep Context","hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"hours to midnight = midnight - dose time","label":null,"prefix":null,"suffix":null,"section":"Sleep Context","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"amount at midnight = round(initial dose * E^(-decay constant * hours to midnight) * 10) / 10 // mg","label":null,"prefix":null,"suffix":"mg","section":"Sleep Context","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"half lives to midnight = hours to midnight / half life","label":null,"prefix":null,"suffix":null,"section":"Sleep Context","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"dose at 2pm remaining at midnight = 1 / 2^half_lives_to_midnight","label":null,"prefix":null,"suffix":null,"section":"Sleep Context","hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"}]},{"id":"calorie-deficit","title":"Calorie Deficit","description":"Calculate your TDEE and calorie targets for weight loss using the Mifflin-St Jeor equation.","category":"health","icon":"utensils","tags":["calories"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.097Z"},"rows":[{"text":"# Your Stats","label":null,"prefix":null,"suffix":null,"section":"Your Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"current weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Your Stats","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"height = 70 // inches 48..84","label":null,"prefix":null,"suffix":"inches","section":"Your Stats","hidden":false,"hero":false,"slider":{"min":48,"max":84,"step":1},"value":70,"display":"70"},{"text":"age = 30 // years 15..80","label":null,"prefix":null,"suffix":"years","section":"Your Stats","hidden":false,"hero":false,"slider":{"min":15,"max":80,"step":1},"value":30,"display":"30"},{"text":"activity factor = 1.55 // 1.2..1.9 by 0.05","label":null,"prefix":null,"suffix":null,"section":"Your Stats","hidden":false,"hero":false,"slider":{"min":1.2,"max":1.9,"step":0.05},"value":1.55,"display":"1.55"},{"text":"# Metabolic Rate","label":null,"prefix":null,"suffix":null,"section":"Metabolic Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"_weight_kg = current_weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Metabolic Rate","hidden":true,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"_height_cm = height * 2.54","label":null,"prefix":null,"suffix":null,"section":"Metabolic Rate","hidden":true,"hero":false,"slider":null,"value":177.8,"display":"177.8"},{"text":"_basal_metabolic_rate = round(10 * weight_kg + 6.25 * height_cm - 5 * age + 5) // cal","label":null,"prefix":null,"suffix":"cal","section":"Metabolic Rate","hidden":true,"hero":false,"slider":null,"value":1783,"display":"1,783"},{"text":"total daily energy = round(basal_metabolic_rate * activity_factor) // cal @hero","label":null,"prefix":null,"suffix":"cal","section":"Metabolic Rate","hidden":false,"hero":true,"slider":null,"value":2764,"display":"2,764"},{"text":"# Weight Loss Targets @layout(grid)","label":null,"prefix":null,"suffix":null,"section":"Weight Loss Targets","hero":false,"slider":null,"value":null,"display":null},{"text":"mild loss = total_daily_energy - 250 // cal/day","label":null,"prefix":null,"suffix":"cal/day","section":"Weight Loss Targets","hidden":false,"hero":false,"slider":null,"value":2514,"display":"2,514"},{"text":"moderate loss = total_daily_energy - 500 // cal/day","label":null,"prefix":null,"suffix":"cal/day","section":"Weight Loss Targets","hidden":false,"hero":false,"slider":null,"value":2264,"display":"2,264"},{"text":"aggressive loss = total_daily_energy - 1000 // cal/day","label":null,"prefix":null,"suffix":"cal/day","section":"Weight Loss Targets","hidden":false,"hero":false,"slider":null,"value":1764,"display":"1,764"}]},{"id":"calories-burned-standing-desk","title":"Calories Burned Standing Desk","description":"Estimate extra calories burned standing instead of sitting at a desk.","category":"health","icon":"activity","tags":["calories","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.097Z"},"rows":[{"text":"user_weight_pounds = 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"standing_hours = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"@hero additional_calories_burned = standing_hours * 60 * 0.15 * (user_weight_pounds / 150)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":43.2,"display":"43.2"}]},{"id":"camera-iso-noise-estimate","title":"Camera Iso Noise Estimate","description":"Estimate camera noise increase as ISO rises above the base ISO.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.097Z"},"rows":[{"text":"base_iso = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"current_iso = 3200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3200,"display":"3,200"},{"text":"base_noise_percent = 0.5 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"@hero estimated_noise_percent = base_noise_percent * (current_iso / base_iso)^0.5 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.8284271247461903,"display":"2.8284"}]},{"id":"camera-sensor-crop-factor","title":"Camera Sensor Crop Factor","description":"Calculate a camera sensor's crop factor relative to full-frame 35mm.","category":"math","icon":"camera","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.098Z"},"rows":[{"text":"sensor_width_millimeters = 23.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":23.5,"display":"23.5"},{"text":"sensor_height_millimeters = 15.6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15.6,"display":"15.6"},{"text":"full_frame_diagonal = (36^2 + 24^2)^0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":43.266615305567875,"display":"43.2666"},{"text":"sensor_diagonal = (sensor_width_millimeters^2 + sensor_height_millimeters^2)^0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":28.20655952079232,"display":"28.2066"},{"text":"@hero crop_factor = full_frame_diagonal / sensor_diagonal","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.5339203377027997,"display":"1.5339"}]},{"id":"camshaft-lift-duration","title":"Camshaft Lift Duration","description":"Calculate valve lift from lobe lift and rocker ratio.","category":"engineering","icon":"settings","tags":["automotive","engine"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.098Z"},"rows":[{"text":"# Cam Specs","label":null,"prefix":null,"suffix":null,"section":"Cam Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"lobe lift inches = 0.35","label":null,"prefix":null,"suffix":null,"section":"Cam Specs","hidden":false,"hero":false,"slider":null,"value":0.35,"display":"0.35"},{"text":"rocker ratio = 1.5","label":null,"prefix":null,"suffix":null,"section":"Cam Specs","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"valve lift inches = lobe lift inches * rocker ratio","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.525,"display":"0.525"}]},{"id":"candle-burn-duration","title":"Candle Burn Duration","description":"Calculate total candle burn time in hours from height and burn rate.","category":"everyday","icon":"smile","tags":["burn"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.098Z"},"rows":[{"text":"candle_height_cm = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"burn_rate_cm_per_hour = 1.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"total_burn_time = candle_height_cm / burn_rate_cm_per_hour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":13.333333333333334,"display":"13.3333"}]},{"id":"canning-processing-time-altitude","title":"Canning Processing Time Altitude","description":"Adjust home canning processing time for altitude above sea level.","category":"productivity","icon":"clock","tags":["altitude","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.098Z"},"rows":[{"text":"standard_time_minutes = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"altitude_feet = 4500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4500,"display":"4,500"},{"text":"time_increase = (altitude_feet > 6000) ? 15 : (altitude_feet > 3000) ? 10 : (altitude_feet > 1000) ? 5 : 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero adjusted_time_minutes = standard_time_minutes + time_increase","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"cantilever-beam-stress","title":"Cantilever Beam Stress","description":"Calculate max bending stress for a cantilever beam.","category":"engineering","icon":"ruler","tags":["engineering","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.099Z"},"rows":[{"text":"force_at_tip_lbs = 200 // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"beam_length_inches = 48 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"section_modulus_in3 = 2 // in^3","label":null,"prefix":null,"suffix":"in^3","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero max_bending_stress_psi = (force_at_tip_lbs * beam_length_inches) / section_modulus_in3 // psi","label":null,"prefix":null,"suffix":"psi","section":null,"hidden":false,"hero":true,"slider":null,"value":4800,"display":"4,800"}]},{"id":"canvas-dpi-print-resolution","title":"Canvas Dpi Print Resolution","description":"Calculate pixel dimensions needed to print a canvas at a target DPI.","category":"design","icon":"palette","tags":["print"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.099Z"},"rows":[{"text":"width_inches = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"height_inches = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"dpi = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"@hero width_pixels = width_inches * dpi // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":2400,"display":"2,400"},{"text":"@hero height_pixels = height_inches * dpi // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":3000,"display":"3,000"}]},{"id":"cap-rate-by-neighborhood","title":"Cap Rate by Neighborhood","description":"Calculate the capitalization rate for specific local real estate.","category":"real-estate","icon":"map","tags":["cap"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.099Z"},"rows":[{"text":"netOperatingIncome = 18000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":18000,"display":"18,000"},{"text":"propertyMarketValue = 300000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":300000,"display":"300,000"},{"text":"capitalizationRate = (netOperatingIncome / propertyMarketValue) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6,"display":"6"}]},{"id":"capacitor-energy-storage","title":"Capacitor Energy Storage","description":"Calculate the energy stored in a capacitor from capacitance and voltage.","category":"health","icon":"activity","tags":["storage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.099Z"},"rows":[{"text":"capacitance_microfarads = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"voltage_volts = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"energy_stored_joules = 0.5 * (capacitance_microfarads / 1000000) * voltage_volts ** 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.3125,"display":"0.3125"}]},{"id":"capacitor-rc-time-constant","title":"Capacitor Rc Time Constant","description":"Calculate the RC time constant in seconds for a resistor-capacitor circuit.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.100Z"},"rows":[{"text":"resistance = 1000 // ohms","label":null,"prefix":null,"suffix":"ohms","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"capacitance = 0.001 // farads","label":null,"prefix":null,"suffix":"farads","section":null,"hidden":false,"hero":false,"slider":null,"value":0.001,"display":"0.001"},{"text":"@hero time_constant = resistance * capacitance // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":true,"slider":null,"value":1,"display":"1"},{"text":"_percent_charged_1_tau = 63.2 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":true,"hero":false,"slider":null,"value":63.2,"display":"63.2"},{"text":"_percent_charged_5_tau = 99.3 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":true,"hero":false,"slider":null,"value":99.3,"display":"99.3"}]},{"id":"capital-expenditure-capex-reserve","title":"CapEx Reserve","description":"Calculate the recommended monthly reserve for major repairs.","category":"real-estate","icon":"archive","tags":["capital"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.100Z"},"rows":[{"text":"grossMonthlyRent = 2000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"capexReservePercentage = 8 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"monthlyCapexReserve = grossMonthlyRent * (capexReservePercentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":160,"display":"160"}]},{"id":"capital-gains-tax","title":"Capital Gains Tax","description":"Estimate capital gains tax owed and net proceeds after selling an asset.","category":"finance","icon":"dollar-sign","tags":["capital","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.100Z"},"rows":[{"text":"# Asset Sale","label":null,"prefix":null,"suffix":null,"section":"Asset Sale","hero":false,"slider":null,"value":null,"display":null},{"text":"$sale price = 50000 // 1k..1M","label":null,"prefix":"$","suffix":null,"section":"Asset Sale","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000,"step":10000},"value":50000,"display":"$50,000.00"},{"text":"$purchase price = 30000 // 1k..1M","label":null,"prefix":"$","suffix":null,"section":"Asset Sale","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000,"step":10000},"value":30000,"display":"$30,000.00"},{"text":"$cost of improvements = 2000 // 0..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Asset Sale","hidden":false,"hero":false,"slider":{"min":0,"max":100000,"step":500},"value":2000,"display":"$2,000.00"},{"text":"capital gains tax rate = 15 // % 0..37","label":null,"prefix":null,"suffix":"%","section":"Asset Sale","hidden":false,"hero":false,"slider":{"min":0,"max":37,"step":1},"value":15,"display":"15"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_adjusted_basis = purchase price + cost of improvements","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":32000,"display":"$32,000.00"},{"text":"$_capital_gain = sale price - adjusted_basis","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":18000,"display":"$18,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated capital gains tax = if(capital_gain > 0, capital_gain * (capital gains tax rate / 100), 0) // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":2700,"display":"$2,700.00"},{"text":"$net proceeds after tax = sale price - estimated capital gains tax","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":47300,"display":"$47,300.00"},{"text":"return on investment = (capital_gain / adjusted_basis) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":56.25,"display":"56.25"}]},{"id":"car-affordability","title":"Car Affordability","description":"Find the max car price you can afford from your monthly budget.","category":"finance","icon":"car","tags":["car","budget"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.100Z"},"rows":[{"text":"# Budget","label":null,"prefix":null,"suffix":null,"section":"Budget","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly budget = 500 // 100..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Budget","hidden":false,"hero":false,"slider":{"min":100,"max":2000,"step":25},"value":500,"display":"$500.00"},{"text":"interest rate = 6 // % 0..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Budget","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.1},"value":6,"display":"6"},{"text":"loan term = 60 // months 12..84","label":null,"prefix":null,"suffix":"months","section":"Budget","hidden":false,"hero":false,"slider":{"min":12,"max":84,"step":1},"value":60,"display":"60"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0.005,"display":"0.005"},{"text":"$max loan = round(monthly budget * ((1 + monthly rate)^loan term - 1) / (monthly rate * (1 + monthly rate)^loan term) * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":25862.78,"display":"$25,862.78"},{"text":"$down payment = 3000 // 0..30k","label":null,"prefix":"$","suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":{"min":0,"max":30000,"step":500},"value":3000,"display":"$3,000.00"},{"text":"# Affordability","label":null,"prefix":null,"suffix":null,"section":"Affordability","hero":false,"slider":null,"value":null,"display":null},{"text":"$max car price = max loan + down payment // @hero","label":null,"prefix":"$","suffix":null,"section":"Affordability","hidden":false,"hero":true,"slider":null,"value":28862.78,"display":"$28,862.78"},{"text":"$total paid = round((monthly budget * loan term + down payment) * 100) / 100 // @label(Total Cost Over Loan)","label":"Total Cost Over Loan","prefix":"$","suffix":null,"section":"Affordability","hidden":false,"hero":false,"slider":null,"value":33000,"display":"$33,000.00"},{"text":"$total interest = round((total paid - max car price) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Affordability","hidden":false,"hero":false,"slider":null,"value":4137.22,"display":"$4,137.22"}]},{"id":"car-depreciation","title":"Car Depreciation","description":"Calculate a car's current value, total depreciation, and percent retained.","category":"other","icon":"car","tags":["car","depreciation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.100Z"},"rows":[{"text":"# Car Value","label":null,"prefix":null,"suffix":null,"section":"Car Value","hero":false,"slider":null,"value":null,"display":null},{"text":"$purchase price = 35000 // 5k..150k by 500","label":null,"prefix":"$","suffix":null,"section":"Car Value","hidden":false,"hero":false,"slider":{"min":5000,"max":150000,"step":500},"value":35000,"display":"$35,000.00"},{"text":"annual depreciation rate = 15 // % 5..30","label":null,"prefix":null,"suffix":"%","section":"Car Value","hidden":false,"hero":false,"slider":{"min":5,"max":30,"step":1},"value":15,"display":"15"},{"text":"age in years = 3 // years 0..20","label":null,"prefix":null,"suffix":"years","section":"Car Value","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":3,"display":"3"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$current value = purchase price * (1 - annual depreciation rate / 100)^age in years // @hero","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":21494.374999999996,"display":"$21,494.37"},{"text":"$total depreciation = purchase price - current value","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":13505.625000000004,"display":"$13,505.63"},{"text":"percent value retained = (current value / purchase price) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Results","hidden":false,"hero":false,"slider":null,"value":61.41249999999999,"display":"61.4125"}]},{"id":"car-loan","title":"Car Loan","description":"Calculate monthly car payments, total cost, and interest.","category":"finance","icon":"car","tags":["car","loan"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.101Z"},"rows":[{"text":"# Car Details","label":null,"prefix":null,"suffix":null,"section":"Car Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$car price = 35000 // 5k..100k","label":null,"prefix":"$","suffix":null,"section":"Car Details","hidden":false,"hero":false,"slider":{"min":5000,"max":100000,"step":1000},"value":35000,"display":"$35,000.00"},{"text":"$down payment = 5000 // 0..50k","label":null,"prefix":"$","suffix":null,"section":"Car Details","hidden":false,"hero":false,"slider":{"min":0,"max":50000,"step":500},"value":5000,"display":"$5,000.00"},{"text":"interest rate = 5.5 // % 0..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Car Details","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.1},"value":5.5,"display":"5.5"},{"text":"loan term = 60 // months 12..84","label":null,"prefix":null,"suffix":"months","section":"Car Details","hidden":false,"hero":false,"slider":{"min":12,"max":84,"step":1},"value":60,"display":"60"},{"text":"# Loan Calculation","label":null,"prefix":null,"suffix":null,"section":"Loan Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan amount = car price - down payment","label":null,"prefix":"$","suffix":null,"section":"Loan Calculation","hidden":false,"hero":false,"slider":null,"value":30000,"display":"$30,000.00"},{"text":"monthly rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Loan Calculation","hidden":false,"hero":false,"slider":null,"value":0.004583333333333333,"display":"0.004583"},{"text":"$monthly payment = loan amount * (monthly rate * (1 + monthly rate)^loan term) / ((1 + monthly rate)^loan term - 1) // @hero","label":null,"prefix":"$","suffix":null,"section":"Loan Calculation","hidden":false,"hero":true,"slider":null,"value":573.0348651534617,"display":"$573.03"},{"text":"# Total Cost","label":null,"prefix":null,"suffix":null,"section":"Total Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$total paid = round(monthly payment * loan term * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":34382.09,"display":"$34,382.09"},{"text":"$total interest = round((total paid - loan amount) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":4382.09,"display":"$4,382.09"},{"text":"$total car cost = round((total paid + down payment) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":39382.09,"display":"$39,382.09"}]},{"id":"car-rental-vs-own","title":"Car Rental vs Own","description":"Compare monthly cost of owning a car against renting one as needed.","category":"other","icon":"car","tags":["car","rental"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.101Z"},"rows":[{"text":"# Ownership Costs","label":null,"prefix":null,"suffix":null,"section":"Ownership Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly car payment = 500 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Ownership Costs","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":500,"display":"$500.00"},{"text":"$monthly insurance = 150 // 0..500 by 10","label":null,"prefix":"$","suffix":null,"section":"Ownership Costs","hidden":false,"hero":false,"slider":{"min":0,"max":500,"step":10},"value":150,"display":"$150.00"},{"text":"$monthly maintenance and gas = 200 // 0..1k by 25","label":null,"prefix":"$","suffix":null,"section":"Ownership Costs","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":25},"value":200,"display":"$200.00"},{"text":"# Rental Costs","label":null,"prefix":null,"suffix":null,"section":"Rental Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$rental cost per day = 80 // 20..500","label":null,"prefix":"$","suffix":null,"section":"Rental Costs","hidden":false,"hero":false,"slider":{"min":20,"max":500,"step":1},"value":80,"display":"$80.00"},{"text":"days needed per month = 10 // days 0..31","label":null,"prefix":null,"suffix":"days","section":"Rental Costs","hidden":false,"hero":false,"slider":{"min":0,"max":31,"step":1},"value":10,"display":"10"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_total_monthly_ownership_cost = monthly car payment + monthly insurance + monthly maintenance and gas","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":850,"display":"$850.00"},{"text":"$_total_monthly_rental_cost = rental cost per day * days needed per month","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":800,"display":"$800.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly savings by renting = total_monthly_ownership_cost - total_monthly_rental_cost // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":50,"display":"$50.00"},{"text":"$annual ownership cost = total_monthly_ownership_cost * 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":10200,"display":"$10,200.00"},{"text":"$annual rental cost = total_monthly_rental_cost * 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":9600,"display":"$9,600.00"},{"text":"break even days per month = total_monthly_ownership_cost / rental cost per day","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":10.625,"display":"10.625"}]},{"id":"carbon-sequestration-per-tree","title":"Carbon Sequestration Per Tree","description":"Estimate annual CO2 sequestered by a tree from age and growth rate.","category":"health","icon":"activity","tags":["carbon","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.101Z"},"rows":[{"text":"tree_age_years = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"growth_rate_factor = 1.0 // 1.0 for average, 1.5 for fast","label":null,"prefix":null,"suffix":"1.0 for average, 1.5 for fast","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero annual_co2_sequestered_pounds = 48 * growth_rate_factor * (min(tree_age_years, 25) / 25)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":38.4,"display":"38.4"}]},{"id":"carpet-area-calculator","title":"Carpet Area Calculator","description":"Calculate carpet square yardage and total cost from room dimensions and waste.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.101Z"},"rows":[{"text":"# Room Dimensions","label":null,"prefix":null,"suffix":null,"section":"Room Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 15 // feet 1..100","label":null,"prefix":null,"suffix":"feet","section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":15,"display":"15"},{"text":"width = 12 // feet 1..100","label":null,"prefix":null,"suffix":"feet","section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":12,"display":"12"},{"text":"# Area Calculations","label":null,"prefix":null,"suffix":null,"section":"Area Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_area_square_feet = length * width","label":null,"prefix":null,"suffix":null,"section":"Area Calculations","hidden":true,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"area square yards = round(area_square_feet / 9, 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Area Calculations","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"# Materials","label":null,"prefix":null,"suffix":null,"section":"Materials","hero":false,"slider":null,"value":null,"display":null},{"text":"waste factor percent = 10 // 5..25","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":{"min":5,"max":25,"step":1},"value":10,"display":"10"},{"text":"total yards with waste = round(area square yards * (1 + waste factor percent / 100), 2)","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"},{"text":"# Cost","label":null,"prefix":null,"suffix":null,"section":"Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$price per square yard = 30 // 10..100","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":{"min":10,"max":100,"step":1},"value":30,"display":"$30.00"},{"text":"$total cost = round(total yards with waste * price per square yard, 2)","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":660,"display":"$660.00"}]},{"id":"carpooling-emissions-savings","title":"Carpooling Emissions Savings","description":"Calculate annual CO2 savings by sharing your commute.","category":"science","icon":"users","tags":["eco","travel","emissions"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.101Z"},"rows":[{"text":"commute_distance_km = 30 // km","label":null,"prefix":null,"suffix":"km","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"days_per_year = 240 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"carpool_members = 3 // people","label":null,"prefix":null,"suffix":"people","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"emissions_per_km = 0.15 // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"total_annual_emissions_solo = commute_distance_km * 2 * days_per_year * emissions_per_km // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":2160,"display":"2,160"},{"text":"annual_emissions_per_person_carpool = total_annual_emissions_solo / carpool_members // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":720,"display":"720"},{"text":"@hero annual_co2_savings_per_person = total_annual_emissions_solo - annual_emissions_per_person_carpool // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":true,"slider":null,"value":1440,"display":"1,440"}]},{"id":"cash-conversion-cycle","title":"Cash Conversion Cycle","description":"Calculate the cash conversion cycle from inventory, receivable, and payable days.","category":"finance","icon":"dollar-sign","tags":["cash","cycle","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.102Z"},"rows":[{"text":"days_inventory_outstanding = 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"days_sales_outstanding = 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"days_payable_outstanding = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"cash_conversion_cycle = days_inventory_outstanding + days_sales_outstanding - days_payable_outstanding","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":75,"display":"75"}]},{"id":"cash-on-cash-return-advanced","title":"Cash on Cash Return","description":"Calculate annual return based on the actual cash invested.","category":"real-estate","icon":"dollar-sign","tags":["cash"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.102Z"},"rows":[{"text":"annualPreTaxCashFlow = 5000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"totalCashInvested = 50000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"cashOnCashReturn = (annualPreTaxCashFlow / totalCashInvested) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"cash-on-cash-return","title":"Cash On Cash Return","description":"Calculate cash-on-cash return and recoup time from down payment and annual cash flow.","category":"finance","icon":"dollar-sign","tags":["cash","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.102Z"},"rows":[{"text":"# Investment Analysis","label":null,"prefix":null,"suffix":null,"section":"Investment Analysis","hero":false,"slider":null,"value":null,"display":null},{"text":"$purchase price = 300000 // 50k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Investment Analysis","hidden":false,"hero":false,"slider":{"min":50000,"max":1000000,"step":5000},"value":300000,"display":"$300,000.00"},{"text":"$down payment = 60000 // 0..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Investment Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":1000},"value":60000,"display":"$60,000.00"},{"text":"$closing costs = 9000 // 0..50k","label":null,"prefix":"$","suffix":null,"section":"Investment Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":50000,"step":500},"value":9000,"display":"$9,000.00"},{"text":"$total annual pre tax cash flow = 7200 // 0..50k by 100","label":null,"prefix":"$","suffix":null,"section":"Investment Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":50000,"step":100},"value":7200,"display":"$7,200.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_total_cash_invested = down payment + closing costs","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":69000,"display":"$69,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"cash on cash return = (total annual pre tax cash flow / total_cash_invested) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":10.434782608695652,"display":"10.4348"},{"text":"$monthly cash flow = total annual pre tax cash flow / 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":600,"display":"$600.00"},{"text":"years to recoup investment = total_cash_invested / total annual pre tax cash flow","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":9.583333333333334,"display":"9.5833"}]},{"id":"cat-years-to-human-years","title":"Cat Years To Human Years","description":"Convert a cat's age in years to its equivalent human age.","category":"everyday","icon":"cat","tags":["human","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.102Z"},"rows":[{"text":"actual_cat_age_years = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"first_year_human_equivalent = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"second_year_human_equivalent = 9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"additional_years_multiplier = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"equivalent_human_age = first_year_human_equivalent + second_year_human_equivalent + (actual_cat_age_years - 2) * additional_years_multiplier","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"cell-turnover","title":"Cell Turnover","description":"Total cells in the body and how many are replaced each day or year.","category":"health","icon":"atom","tags":["biology","body","turnover"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.103Z"},"rows":[{"text":"# Person","label":null,"prefix":null,"suffix":null,"section":"Person","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight kg = 70 // kg 1..200","label":null,"prefix":null,"suffix":"kg","section":"Person","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":70,"display":"70"},{"text":"turnover years = 7 // years 1..80","label":null,"prefix":null,"suffix":"years","section":"Person","hidden":false,"hero":false,"slider":{"min":1,"max":80,"step":1},"value":7,"display":"7"},{"text":"# Cell Count (≈ 528 billion per kg)","label":null,"prefix":null,"suffix":null,"section":"Cell Count (≈ 528 billion per kg)","hero":false,"slider":null,"value":null,"display":null},{"text":"_cells_per_kg = 528000000000","label":null,"prefix":null,"suffix":null,"section":"Cell Count (≈ 528 billion per kg)","hidden":true,"hero":false,"slider":null,"value":528000000000,"display":"528,000,000,000"},{"text":"total cells = body weight kg * cells_per_kg // @hero @label(Total cells in body)","label":"Total cells in body","prefix":null,"suffix":null,"section":"Cell Count (≈ 528 billion per kg)","hidden":false,"hero":true,"slider":null,"value":36960000000000,"display":"36,960,000,000,000"},{"text":"# Replacement Rate","label":null,"prefix":null,"suffix":null,"section":"Replacement Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"cells per year = total cells / turnover years // @label(Cells replaced per year)","label":"Cells replaced per year","prefix":null,"suffix":null,"section":"Replacement Rate","hidden":false,"hero":false,"slider":null,"value":5280000000000,"display":"5,280,000,000,000"},{"text":"cells per day = cells per year / 365 // @label(Cells replaced per day)","label":"Cells replaced per day","prefix":null,"suffix":null,"section":"Replacement Rate","hidden":false,"hero":false,"slider":null,"value":14465753424.657534,"display":"14,465,753,424.6575"},{"text":"cells per second = round(cells per day / 86400) // @label(Cells replaced per second)","label":"Cells replaced per second","prefix":null,"suffix":null,"section":"Replacement Rate","hidden":false,"hero":false,"slider":null,"value":167428,"display":"167,428"},{"text":"# Lifetime","label":null,"prefix":null,"suffix":null,"section":"Lifetime","hero":false,"slider":null,"value":null,"display":null},{"text":"lifetime years = 80 // years 1..120","label":null,"prefix":null,"suffix":"years","section":"Lifetime","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":80,"display":"80"},{"text":"total replacements = round(lifetime years / turnover years, 1) // @label(Full-body replacements in a lifetime)","label":"Full-body replacements in a lifetime","prefix":null,"suffix":null,"section":"Lifetime","hidden":false,"hero":false,"slider":null,"value":11.4,"display":"11.4"}]},{"id":"centripetal-acceleration-rotation","title":"Centripetal Acceleration Rotation","description":"Calculate centripetal acceleration from rotational radius and velocity.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.103Z"},"rows":[{"text":"radius = 5 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"velocity = 10 // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero centripetal_acceleration = velocity^2 / radius // meters per second squared","label":null,"prefix":null,"suffix":"meters per second squared","section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"chain-drive-speed-ratio","title":"Chain Drive Speed Ratio","description":"Calculate driven RPM and ratio for chain and sprocket.","category":"engineering","icon":"settings","tags":["engineering","mechanical","drive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.103Z"},"rows":[{"text":"driver_sprocket_teeth = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"driven_sprocket_teeth = 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"driver_rpm = 1000 // RPM","label":null,"prefix":null,"suffix":"RPM","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"@hero driven_rpm = driver_rpm * (driver_sprocket_teeth / driven_sprocket_teeth) // RPM","label":null,"prefix":null,"suffix":"RPM","section":null,"hidden":false,"hero":true,"slider":null,"value":333.3333333333333,"display":"333.3333"},{"text":"speed_ratio = driven_sprocket_teeth / driver_sprocket_teeth","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"}]},{"id":"champagne-bottle-pressure","title":"Champagne Bottle Pressure","description":"Estimate the internal pressure of a champagne bottle at a given temperature.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.103Z"},"rows":[{"text":"temperature_celsius = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"pressure_atmospheres = 5 + 0.2 * (temperature_celsius - 10)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7,"display":"7"}]},{"id":"charitable-donation-tax-savings","title":"Charitable Donation Tax Savings","description":"Calculate tax savings and net cost of a charitable donation at your tax bracket.","category":"finance","icon":"dollar-sign","tags":["tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.104Z"},"rows":[{"text":"donation_amount = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"tax_rate = 0.35","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.35,"display":"0.35"},{"text":"tax_savings = donation_amount * tax_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"net_cost = donation_amount - tax_savings","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":650,"display":"650"}]},{"id":"charles-law-volume-temperature","title":"Charles Law Volume Temperature","description":"Calculate the final gas volume after a temperature change using Charles's Law.","category":"education","icon":"book-open","tags":["temperature"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.104Z"},"rows":[{"text":"volume_initial = 1.5 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"temperature_initial_celsius = 25 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"temperature_final_celsius = 100 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"_t1_kelvin = temperature_initial_celsius + 273.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":298.15,"display":"298.15"},{"text":"_t2_kelvin = temperature_final_celsius + 273.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":373.15,"display":"373.15"},{"text":"@hero volume_final = volume_initial * (t2_kelvin / t1_kelvin) // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":1.8773268489015598,"display":"1.8773"}]},{"id":"cheese-yield-from-milk","title":"Cheese Yield From Milk","description":"Estimate cheese yield in pounds from milk volume, fat content, and cheese type.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.104Z"},"rows":[{"text":"milk_volume_gallons = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"milk_fat_percent = 3.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"cheese_type_factor = 0.1 // Hard cheese: 0.1, Soft: 0.2","label":null,"prefix":null,"suffix":"Hard cheese: 0.1, Soft: 0.2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"@hero estimated_cheese_weight_pounds = milk_volume_gallons * 8.6 * cheese_type_factor * (milk_fat_percent / 3.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.72,"display":"1.72"}]},{"id":"chemical-balancing-stoichiometry","title":"Chemical Balancing Stoichiometry","description":"Calculate the total mass of reactants from moles and molar masses.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.104Z"},"rows":[{"text":"reactant_1_moles = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"reactant_1_molar_mass = 18.02 // g/mol","label":null,"prefix":null,"suffix":"g/mol","section":null,"hidden":false,"hero":false,"slider":null,"value":18.02,"display":"18.02"},{"text":"reactant_2_moles = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"reactant_2_molar_mass = 32.00 // g/mol","label":null,"prefix":null,"suffix":"g/mol","section":null,"hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"@hero total_mass = (reactant_1_moles * reactant_1_molar_mass) + (reactant_2_moles * reactant_2_molar_mass) // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":true,"slider":null,"value":82.02,"display":"82.02"}]},{"id":"chess-elo-rating-change","title":"Chess Elo Rating Change","description":"Calculate Elo rating change after a chess game from K-factor and outcome.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.105Z"},"rows":[{"text":"# Ratings","label":null,"prefix":null,"suffix":null,"section":"Ratings","hero":false,"slider":null,"value":null,"display":null},{"text":"your rating = 1500","label":null,"prefix":null,"suffix":null,"section":"Ratings","hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"opponent rating = 1600","label":null,"prefix":null,"suffix":null,"section":"Ratings","hidden":false,"hero":false,"slider":null,"value":1600,"display":"1,600"},{"text":"k factor = 32 // stability factor","label":null,"prefix":null,"suffix":"stability factor","section":"Ratings","hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"# Outcome","label":null,"prefix":null,"suffix":null,"section":"Outcome","hero":false,"slider":null,"value":null,"display":null},{"text":"score = 1 // 1 for win, 0.5 for draw, 0 for loss","label":null,"prefix":null,"suffix":"1 for win, 0.5 for draw, 0 for loss","section":"Outcome","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_expected_score = 1 / (1 + 10 ^ ((opponent rating - your rating) / 400))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.35993500019711494,"display":"0.3599"},{"text":"rating change = k factor * (score - expected_score) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20.48207999369232,"display":"20.4821"},{"text":"new rating = your rating + rating change // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1520.4820799936922,"display":"1,520.4821"}]},{"id":"chicken-egg-production-timer","title":"Chicken Egg Production Timer","description":"Estimate total eggs from a flock over a collection period.","category":"productivity","icon":"clock","tags":["timer","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.105Z"},"rows":[{"text":"number_of_hens = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"eggs_per_hen_per_week = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"days_to_collect = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"@hero estimated_total_eggs = number_of_hens * (eggs_per_hen_per_week / 7) * days_to_collect","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":25,"display":"25"}]},{"id":"child-support-estimate","title":"Child Support Estimate","description":"Estimate monthly child support based on parental income.","category":"other","icon":"users","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.105Z"},"rows":[{"text":"nonCustodialMonthlyIncome = 5000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"numberOfChildren = 2 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"supportPercentagePerChild = 17 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":17,"display":"17"},{"text":"monthlySupport = nonCustodialMonthlyIncome * (supportPercentagePerChild / 100) * numberOfChildren","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1700,"display":"1,700"}]},{"id":"churn-rate","title":"Churn Rate","description":"Calculate monthly customer churn rate, retention, and estimated customer half-life.","category":"business","icon":"briefcase","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.105Z"},"rows":[{"text":"# Customer Retention","label":null,"prefix":null,"suffix":null,"section":"Customer Retention","hero":false,"slider":null,"value":null,"display":null},{"text":"customers at start of month = 1200 // 1..100k","label":null,"prefix":null,"suffix":null,"section":"Customer Retention","hidden":false,"hero":false,"slider":{"min":1,"max":100000,"step":1000},"value":1200,"display":"1,200"},{"text":"customers lost during month = 60 // 0..10k","label":null,"prefix":null,"suffix":null,"section":"Customer Retention","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":60,"display":"60"},{"text":"new customers added = 80 // 0..10k","label":null,"prefix":null,"suffix":null,"section":"Customer Retention","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":80,"display":"80"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly churn rate = (customers lost during month / customers at start of month) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"retention rate = 100 - monthly churn rate // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":95,"display":"95"},{"text":"estimated customer half life = 70 / monthly churn rate // months (Rule of 70 approx)","label":null,"prefix":null,"suffix":"months (Rule of 70 approx)","section":"Result","hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"$net change = new customers added - customers lost during month","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":20,"display":"$20.00"}]},{"id":"cinematic-aspect-ratio-letterbox","title":"Cinematic Aspect Ratio Letterbox","description":"Calculate letterbox bar height for displaying a cinematic aspect ratio on a screen.","category":"design","icon":"palette","tags":["aspect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.105Z"},"rows":[{"text":"screen_width = 1920 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":1920,"display":"1,920"},{"text":"screen_height = 1080 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":1080,"display":"1,080"},{"text":"target_aspect_ratio = 2.39 // cinematic wide","label":null,"prefix":null,"suffix":"cinematic wide","section":null,"hidden":false,"hero":false,"slider":null,"value":2.39,"display":"2.39"},{"text":"_content_height = screen_width / target_aspect_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":803.347280334728,"display":"803.3473"},{"text":"@hero letterbox_bar_height = (screen_height - content_height) / 2 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":138.326359832636,"display":"138.3264"}]},{"id":"circle-area","title":"Circle Area","description":"Find the area of a circle from its radius: A = π × r².","category":"formulas","icon":"circle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.106Z"},"rows":[{"text":"# Radius","label":null,"prefix":null,"suffix":null,"section":"Radius","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Radius","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = pi * radius^2","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":78.53981633974483,"display":"78.5398"}]},{"id":"circle-circumference","title":"Circle Circumference","description":"Find the circumference of a circle from its radius: C = 2 × π × r.","category":"formulas","icon":"circle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.106Z"},"rows":[{"text":"# Radius","label":null,"prefix":null,"suffix":null,"section":"Radius","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Radius","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Circumference and diameter","label":null,"prefix":null,"suffix":null,"section":"Circumference and diameter","hero":false,"slider":null,"value":null,"display":null},{"text":"circumference = 2 * pi * radius // @hero","label":null,"prefix":null,"suffix":null,"section":"Circumference and diameter","hidden":false,"hero":true,"slider":null,"value":31.415926535897928,"display":"31.4159"},{"text":"diameter = 2 * radius","label":null,"prefix":null,"suffix":null,"section":"Circumference and diameter","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"}]},{"id":"class-grade","title":"Class Grade","description":"Calculate your weighted class grade from assignments and exams.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.106Z"},"rows":[{"text":"# Homework","label":null,"prefix":null,"suffix":null,"section":"Homework","hero":false,"slider":null,"value":null,"display":null},{"text":"homework_score = 92 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Homework","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":92,"display":"92"},{"text":"homework_weight = 30 // % 5..50 by 5","label":null,"prefix":null,"suffix":"%","section":"Homework","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":5},"value":30,"display":"30"},{"text":"# Midterm","label":null,"prefix":null,"suffix":null,"section":"Midterm","hero":false,"slider":null,"value":null,"display":null},{"text":"midterm_score = 78 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Midterm","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":78,"display":"78"},{"text":"midterm_weight = 30 // % 5..50 by 5","label":null,"prefix":null,"suffix":"%","section":"Midterm","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":5},"value":30,"display":"30"},{"text":"# Final Exam","label":null,"prefix":null,"suffix":null,"section":"Final Exam","hero":false,"slider":null,"value":null,"display":null},{"text":"final_score = 85 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Final Exam","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":85,"display":"85"},{"text":"final_weight = 40 // % 5..50 by 5","label":null,"prefix":null,"suffix":"%","section":"Final Exam","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":5},"value":40,"display":"40"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"total_weight = homework_weight + midterm_weight + final_weight // %","label":null,"prefix":null,"suffix":"%","section":"Results","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"weighted_average = round((homework_score * homework_weight + midterm_score * midterm_weight + final_score * final_weight) / total_weight * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Results","hidden":false,"hero":true,"slider":null,"value":85,"display":"85"}]},{"id":"clay-shrinkage-pottery-percent","title":"Clay Shrinkage Pottery Percent","description":"Calculate clay shrinkage percentage between wet and fired pottery dimensions.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.106Z"},"rows":[{"text":"wet_length = 10 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"fired_length = 8.8 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":8.8,"display":"8.8"},{"text":"@hero shrinkage_percentage = ((wet_length - fired_length) / wet_length) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12,"display":"12"}]},{"id":"climb-gradient","title":"Climb Gradient","description":"Calculate climb gradient as percent and degrees from elevation gain and distance.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.106Z"},"rows":[{"text":"# Terrain Info","label":null,"prefix":null,"suffix":null,"section":"Terrain Info","hero":false,"slider":null,"value":null,"display":null},{"text":"elevation gain = 500 // feet 0..5k","label":null,"prefix":null,"suffix":"feet","section":"Terrain Info","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":50},"value":500,"display":"500"},{"text":"horizontal distance = 5280 // feet 0..50k","label":null,"prefix":null,"suffix":"feet","section":"Terrain Info","hidden":false,"hero":false,"slider":{"min":0,"max":50000,"step":500},"value":5280,"display":"5,280"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"gradient decimal = elevation gain / horizontal distance","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0.0946969696969697,"display":"0.0947"},{"text":"gradient percentage = gradient decimal * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":9.469696969696969,"display":"9.4697"},{"text":"# Degree conversion","label":null,"prefix":null,"suffix":null,"section":"Degree conversion","hero":false,"slider":null,"value":null,"display":null},{"text":"angle degrees = atan(gradient decimal) * 180 / pi","label":null,"prefix":null,"suffix":null,"section":"Degree conversion","hidden":false,"hero":false,"slider":null,"value":309.94753215142737,"display":"309.9475"},{"text":"grade category = gradient percentage","label":null,"prefix":null,"suffix":null,"section":"Degree conversion","hidden":false,"hero":false,"slider":null,"value":9.469696969696969,"display":"9.4697"},{"text":"# Classification","label":null,"prefix":null,"suffix":null,"section":"Classification","hero":false,"slider":null,"value":null,"display":null},{"text":"flat = 3","label":null,"prefix":null,"suffix":null,"section":"Classification","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"moderate = 6","label":null,"prefix":null,"suffix":null,"section":"Classification","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"steep = 10","label":null,"prefix":null,"suffix":null,"section":"Classification","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"extreme = 15","label":null,"prefix":null,"suffix":null,"section":"Classification","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"}]},{"id":"closing-costs","title":"Closing Costs","description":"Estimate closing costs and total cash due at closing.","category":"real-estate","icon":"file-text","tags":["home"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.107Z"},"rows":[{"text":"# Home Purchase","label":null,"prefix":null,"suffix":null,"section":"Home Purchase","hero":false,"slider":null,"value":null,"display":null},{"text":"$home price = 350000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Home Purchase","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":350000,"display":"$350,000.00"},{"text":"down payment pct = 10 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Home Purchase","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":10,"display":"10"},{"text":"$down payment = home price * down payment pct / 100","label":null,"prefix":"$","suffix":null,"section":"Home Purchase","hidden":false,"hero":false,"slider":null,"value":35000,"display":"$35,000.00"},{"text":"# Closing Cost Breakdown","label":null,"prefix":null,"suffix":null,"section":"Closing Cost Breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"$lender fees = home price * 0.01 // @label(Lender/Origination Fees ~1%)","label":"Lender/Origination Fees ~1%","prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":null,"value":3500,"display":"$3,500.00"},{"text":"$title insurance = 1500 // 500..5k by 100","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":500,"max":5000,"step":100},"value":1500,"display":"$1,500.00"},{"text":"$appraisal fee = 500 // 200..1k by 50","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":200,"max":1000,"step":50},"value":500,"display":"$500.00"},{"text":"$home inspection = 450 // 200..800 by 50","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":200,"max":800,"step":50},"value":450,"display":"$450.00"},{"text":"$escrow and recording = 750 // 200..2k by 50","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":200,"max":2000,"step":50},"value":750,"display":"$750.00"},{"text":"$prepaid taxes and insurance = home price * 0.005 // @label(Prepaid Taxes & Insurance ~0.5%)","label":"Prepaid Taxes & Insurance ~0.5%","prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":null,"value":1750,"display":"$1,750.00"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated closing costs = lender fees + title insurance + appraisal fee + home inspection + escrow and recording + prepaid taxes and insurance","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":8450,"display":"$8,450.00"},{"text":"closing cost pct = round(estimated closing costs / home price * 100 * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Totals","hidden":false,"hero":false,"slider":null,"value":2.4,"display":"2.4"},{"text":"$total due at closing = down payment + estimated closing costs","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":true,"slider":null,"value":43450,"display":"$43,450.00"}]},{"id":"cloud-egress-cost-calculator","title":"Cloud Egress Cost Calculator","description":"Estimate total cost of cloud data egress at a given price per gigabyte.","category":"other","icon":"cloud","tags":["cloud"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.107Z"},"rows":[{"text":"egress_data_terabytes = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"cost_per_gigabyte = 0.09","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.09,"display":"0.09"},{"text":"@hero total_egress_cost_dollars = egress_data_terabytes * 1000 * cost_per_gigabyte","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":450,"display":"450"}]},{"id":"cloud-storage-cost-comparison","title":"Cloud Storage Cost Comparison","description":"Compare monthly cloud storage costs across three providers at a given data size.","category":"health","icon":"cloud","tags":["cloud","storage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.107Z"},"rows":[{"text":"data_size_terabytes = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"cost_per_terabyte_month_provider_a = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"cost_per_terabyte_month_provider_b = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"cost_per_terabyte_month_provider_c = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"monthly_cost_provider_a = data_size_terabytes * cost_per_terabyte_month_provider_a","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"monthly_cost_provider_b = data_size_terabytes * cost_per_terabyte_month_provider_b","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"monthly_cost_provider_c = data_size_terabytes * cost_per_terabyte_month_provider_c","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"}]},{"id":"cloud-weight-estimate","title":"Cloud Weight Estimate","description":"Estimate the total weight of a cumulus cloud from its volume and water density.","category":"everyday","icon":"smile","tags":["cloud"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.108Z"},"rows":[{"text":"cloud_volume_m3 = 1e9 // 1 cubic km","label":null,"prefix":null,"suffix":"1 cubic km","section":null,"hidden":false,"hero":false,"slider":null,"value":1000000000,"display":"1,000,000,000"},{"text":"water_density_g_per_m3 = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"total_weight_kilograms = (cloud_volume_m3 * water_density_g_per_m3) / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":500000,"display":"500,000"}]},{"id":"cmyk-to-rgb-color-converter","title":"Cmyk To Rgb Color Converter","description":"Convert CMYK percentages to RGB color values.","category":"design","icon":"palette","tags":["rgb","color"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.108Z"},"rows":[{"text":"cyan_percent = 100 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"magenta_percent = 0 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"yellow_percent = 0 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"black_percent = 0 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_c = cyan_percent / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"_m = magenta_percent / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_y = yellow_percent / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_k = black_percent / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"@hero red_rgb = 255 * (1 - c) * (1 - k)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"},{"text":"@hero green_rgb = 255 * (1 - m) * (1 - k)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":255,"display":"255"},{"text":"@hero blue_rgb = 255 * (1 - y) * (1 - k)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":255,"display":"255"}]},{"id":"coffee-cost","title":"Coffee Cost","description":"See the true cost of your daily coffee habit.","category":"everyday","icon":"coffee","tags":["coffee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.108Z"},"rows":[{"text":"# Coffee Habit","label":null,"prefix":null,"suffix":null,"section":"Coffee Habit","hero":false,"slider":null,"value":null,"display":null},{"text":"coffees per day = 2 // 1..10","label":null,"prefix":null,"suffix":null,"section":"Coffee Habit","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":2,"display":"2"},{"text":"$price per coffee = 5.50 // 1..15 by 0.25","label":null,"prefix":"$","suffix":null,"section":"Coffee Habit","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.25},"value":5.5,"display":"$5.50"},{"text":"# Daily & Weekly","label":null,"prefix":null,"suffix":null,"section":"Daily & Weekly","hero":false,"slider":null,"value":null,"display":null},{"text":"$daily cost = coffees per day * price per coffee","label":null,"prefix":"$","suffix":null,"section":"Daily & Weekly","hidden":false,"hero":false,"slider":null,"value":11,"display":"$11.00"},{"text":"$weekly cost = daily cost * 7","label":null,"prefix":"$","suffix":null,"section":"Daily & Weekly","hidden":false,"hero":false,"slider":null,"value":77,"display":"$77.00"},{"text":"# Monthly & Yearly","label":null,"prefix":null,"suffix":null,"section":"Monthly & Yearly","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly cost = round(daily cost * 30.44 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Monthly & Yearly","hidden":false,"hero":false,"slider":null,"value":334.84,"display":"$334.84"},{"text":"$yearly cost = round(daily cost * 365.25 * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Monthly & Yearly","hidden":false,"hero":true,"slider":null,"value":4017.75,"display":"$4,017.75"},{"text":"# Long Term","label":null,"prefix":null,"suffix":null,"section":"Long Term","hero":false,"slider":null,"value":null,"display":null},{"text":"$five year cost = round(yearly cost * 5 * 100) / 100 // @label(5-Year Cost)","label":"5-Year Cost","prefix":"$","suffix":null,"section":"Long Term","hidden":false,"hero":false,"slider":null,"value":20088.75,"display":"$20,088.75"},{"text":"$ten year cost = round(yearly cost * 10 * 100) / 100 // @label(10-Year Cost)","label":"10-Year Cost","prefix":"$","suffix":null,"section":"Long Term","hidden":false,"hero":false,"slider":null,"value":40177.5,"display":"$40,177.50"},{"text":"$ten year invested = round(yearly cost * ((1.07^10 - 1) / 0.07) * 100) / 100 // @label(10-Year If Invested at 7%)","label":"10-Year If Invested at 7%","prefix":"$","suffix":null,"section":"Long Term","hidden":false,"hero":false,"slider":null,"value":55511.03,"display":"$55,511.03"}]},{"id":"coffee-extraction-yield","title":"Coffee Extraction Yield","description":"Calculate coffee extraction yield percentage from brew weight, TDS, and dose.","category":"other","icon":"coffee","tags":["coffee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.109Z"},"rows":[{"text":"brewed_coffee_weight_grams = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"coffee_tds_percent = 1.35","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.35,"display":"1.35"},{"text":"dry_coffee_weight_grams = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero extraction_yield_percent = (brewed_coffee_weight_grams * coffee_tds_percent) / dry_coffee_weight_grams // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20.25,"display":"20.25"}]},{"id":"coffee-roast-weight-loss","title":"Coffee Roast Weight Loss","description":"Calculate percentage weight loss between green and roasted coffee beans.","category":"health","icon":"coffee","tags":["coffee","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.109Z"},"rows":[{"text":"green_coffee_weight_grams = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"roasted_coffee_weight_grams = 850","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":850,"display":"850"},{"text":"weight_loss_grams = green_coffee_weight_grams - roasted_coffee_weight_grams","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"percentage_weight_loss = (weight_loss_grams / green_coffee_weight_grams) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":15,"display":"15"}]},{"id":"coffee-stain-radius","title":"Coffee Stain Radius","description":"Estimate the spread radius of a coffee spill on an absorbent surface.","category":"everyday","icon":"smile","tags":["coffee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.110Z"},"rows":[{"text":"spill_volume_ml = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"surface_absorbency = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"stain_radius_cm = sqrt(spill_volume_ml / (pi * surface_absorbency))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.7841241161527712,"display":"1.7841"}]},{"id":"coffee-to-water-ratio","title":"Coffee To Water Ratio","description":"Calculate water needed in grams and ounces for a given coffee dose and ratio.","category":"health","icon":"coffee","tags":["coffee","water","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.110Z"},"rows":[{"text":"# Brewing Input","label":null,"prefix":null,"suffix":null,"section":"Brewing Input","hero":false,"slider":null,"value":null,"display":null},{"text":"coffee weight = 20 // grams 5..100","label":null,"prefix":null,"suffix":"grams","section":"Brewing Input","hidden":false,"hero":false,"slider":{"min":5,"max":100,"step":1},"value":20,"display":"20"},{"text":"target ratio = 16 // 1:12 to 1:20","label":null,"prefix":null,"suffix":null,"section":"Brewing Input","hidden":false,"hero":false,"slider":{"min":4320,"max":4800,"step":1},"value":16,"display":"16"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"water weight needed = coffee weight * target ratio // grams @hero","label":null,"prefix":null,"suffix":"grams","section":"Result","hidden":false,"hero":true,"slider":null,"value":320,"display":"320"},{"text":"water in milliliters = water weight needed","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":320,"display":"320"},{"text":"water in ounces = water weight needed * 0.033814","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":10.82048,"display":"10.8205"},{"text":"# Strength Guide","label":null,"prefix":null,"suffix":null,"section":"Strength Guide","hero":false,"slider":null,"value":null,"display":null},{"text":"ratio one to twelve = coffee weight * 12 // Strong","label":null,"prefix":null,"suffix":"Strong","section":"Strength Guide","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"ratio one to fifteen = coffee weight * 15 // Balanced","label":null,"prefix":null,"suffix":"Balanced","section":"Strength Guide","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"ratio one to eighteen = coffee weight * 18 // Light","label":null,"prefix":null,"suffix":"Light","section":"Strength Guide","hidden":false,"hero":false,"slider":null,"value":360,"display":"360"}]},{"id":"cognitive-dissonance-intensity","title":"Cognitive Dissonance Intensity","description":"Estimate cognitive dissonance intensity from belief importance and conflict count.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.110Z"},"rows":[{"text":"importance_of_belief = 9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"number_of_conflicting_beliefs = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"dissonance_ratio = number_of_conflicting_beliefs / (importance_of_belief)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.2222222222222222,"display":"0.2222"}]},{"id":"cognitive-load-estimator","title":"Cognitive Load Estimator","description":"Estimate total cognitive load from concurrent task count and complexity.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.110Z"},"rows":[{"text":"number_of_tasks = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"complexity_per_task = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total_load = number_of_tasks * complexity_per_task","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":15,"display":"15"}]},{"id":"coin-flip-streak-odds","title":"Coin Flip Streak Odds","description":"Calculate the probability of a heads or tails streak of a given length.","category":"everyday","icon":"smile","tags":["streak","odds"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.110Z"},"rows":[{"text":"streak_length = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"odds = 1 / (2^streak_length)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.03125,"display":"0.0313"}]},{"id":"color-converter","title":"Color Converter","description":"Convert RGB values to hex, HSL, luminance, and get text color recommendations.","category":"programming","icon":"palette","tags":["color","rgb","hex","design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"# RGB Input @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"RGB Input","hero":false,"slider":null,"value":null,"display":null},{"text":"red = 66","label":null,"prefix":null,"suffix":null,"section":"RGB Input","hidden":false,"hero":false,"slider":null,"value":66,"display":"66"},{"text":"green = 133","label":null,"prefix":null,"suffix":null,"section":"RGB Input","hidden":false,"hero":false,"slider":null,"value":133,"display":"133"},{"text":"blue = 244","label":null,"prefix":null,"suffix":null,"section":"RGB Input","hidden":false,"hero":false,"slider":null,"value":244,"display":"244"},{"text":"# Hex @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Hex","hero":false,"slider":null,"value":null,"display":null},{"text":"red hex = red as hex","label":null,"prefix":null,"suffix":null,"section":"Hex","hidden":false,"hero":false,"slider":null,"value":66,"display":"0x0042"},{"text":"green hex = green as hex","label":null,"prefix":null,"suffix":null,"section":"Hex","hidden":false,"hero":false,"slider":null,"value":133,"display":"0x0085"},{"text":"blue hex = blue as hex","label":null,"prefix":null,"suffix":null,"section":"Hex","hidden":false,"hero":false,"slider":null,"value":244,"display":"0x00f4"},{"text":"# HSL Approximation","label":null,"prefix":null,"suffix":null,"section":"HSL Approximation","hero":false,"slider":null,"value":null,"display":null},{"text":"r pct = red / 255","label":null,"prefix":null,"suffix":null,"section":"HSL Approximation","hidden":false,"hero":false,"slider":null,"value":0.25882352941176473,"display":"0.2588"},{"text":"g pct = green / 255","label":null,"prefix":null,"suffix":null,"section":"HSL Approximation","hidden":false,"hero":false,"slider":null,"value":0.5215686274509804,"display":"0.5216"},{"text":"b pct = blue / 255","label":null,"prefix":null,"suffix":null,"section":"HSL Approximation","hidden":false,"hero":false,"slider":null,"value":0.9568627450980393,"display":"0.9569"},{"text":"max c = max(r_pct, g_pct, b_pct)","label":null,"prefix":null,"suffix":null,"section":"HSL Approximation","hidden":false,"hero":false,"slider":null,"value":0.9568627450980393,"display":"0.9569"},{"text":"min c = min(r_pct, g_pct, b_pct)","label":null,"prefix":null,"suffix":null,"section":"HSL Approximation","hidden":false,"hero":false,"slider":null,"value":0.25882352941176473,"display":"0.2588"},{"text":"lightness = (max_c + min_c) / 2 * 100 // %","label":null,"prefix":null,"suffix":"%","section":"HSL Approximation","hidden":false,"hero":false,"slider":null,"value":60.784313725490186,"display":"60.7843"},{"text":"saturation = if(max_c == min_c){0} else {((max_c - min_c) / (1 - abs(2 * lightness / 100 - 1))) * 100} // %","label":null,"prefix":null,"suffix":"%","section":"HSL Approximation","hidden":false,"hero":false,"slider":null,"value":88.99999999999999,"display":"89"},{"text":"# Grayscale","label":null,"prefix":null,"suffix":null,"section":"Grayscale","hero":false,"slider":null,"value":null,"display":null},{"text":"perceived luminance = 0.2126 * red + 0.7152 * green + 0.0722 * blue // @hero","label":null,"prefix":null,"suffix":null,"section":"Grayscale","hidden":false,"hero":true,"slider":null,"value":126.77,"display":"126.77"},{"text":"text color recommendation = if(perceived_luminance < 128){\"Use white text\"} else {\"Use black text\"}","label":null,"prefix":null,"suffix":null,"section":"Grayscale","hidden":false,"hero":false,"slider":null,"value":"Use white text","display":"Use white text"}]},{"id":"color-opacity","title":"Color Opacity","description":"Calculate the blended RGB color from opacity and background.","category":"design","icon":"palette","tags":["color","rgb"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.111Z"},"rows":[{"text":"# Foreground Color (RGB 0-255)","label":null,"prefix":null,"suffix":null,"section":"Foreground Color (RGB 0-255)","hero":false,"slider":null,"value":null,"display":null},{"text":"fg red = 59 // 0..255","label":null,"prefix":null,"suffix":null,"section":"Foreground Color (RGB 0-255)","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":59,"display":"59"},{"text":"fg green = 130 // 0..255","label":null,"prefix":null,"suffix":null,"section":"Foreground Color (RGB 0-255)","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":130,"display":"130"},{"text":"fg blue = 246 // 0..255","label":null,"prefix":null,"suffix":null,"section":"Foreground Color (RGB 0-255)","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":246,"display":"246"},{"text":"opacity pct = 50 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Foreground Color (RGB 0-255)","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":50,"display":"50"},{"text":"# Background Color (RGB 0-255)","label":null,"prefix":null,"suffix":null,"section":"Background Color (RGB 0-255)","hero":false,"slider":null,"value":null,"display":null},{"text":"bg red = 255 // 0..255","label":null,"prefix":null,"suffix":null,"section":"Background Color (RGB 0-255)","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":255,"display":"255"},{"text":"bg green = 255 // 0..255","label":null,"prefix":null,"suffix":null,"section":"Background Color (RGB 0-255)","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":255,"display":"255"},{"text":"bg blue = 255 // 0..255","label":null,"prefix":null,"suffix":null,"section":"Background Color (RGB 0-255)","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":255,"display":"255"},{"text":"# Blended Result","label":null,"prefix":null,"suffix":null,"section":"Blended Result","hero":false,"slider":null,"value":null,"display":null},{"text":"_alpha = opacity pct / 100","label":null,"prefix":null,"suffix":null,"section":"Blended Result","hidden":true,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"result red = round(fg red * alpha + bg red * (1 - alpha)) // @hero @label(Blended R)","label":"Blended R","prefix":null,"suffix":null,"section":"Blended Result","hidden":false,"hero":true,"slider":null,"value":157,"display":"157"},{"text":"result green = round(fg green * alpha + bg green * (1 - alpha)) // @label(Blended G)","label":"Blended G","prefix":null,"suffix":null,"section":"Blended Result","hidden":false,"hero":false,"slider":null,"value":193,"display":"193"},{"text":"result blue = round(fg blue * alpha + bg blue * (1 - alpha)) // @label(Blended B)","label":"Blended B","prefix":null,"suffix":null,"section":"Blended Result","hidden":false,"hero":false,"slider":null,"value":251,"display":"251"}]},{"id":"combination-calculator","title":"Combination Calculator","description":"Calculate n-choose-k combinations from a set of items.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.111Z"},"rows":[{"text":"n = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"k = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"result = combination(n, k)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":120,"display":"120"}]},{"id":"combined-leverage-degree","title":"Combined Leverage Degree","description":"Calculate the degree of combined leverage from operating and financial leverage.","category":"health","icon":"activity","tags":["leverage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.112Z"},"rows":[{"text":"degree_of_operating_leverage = 2.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"degree_of_financial_leverage = 1.33","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.33,"display":"1.33"},{"text":"degree_of_combined_leverage = degree_of_operating_leverage * degree_of_financial_leverage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.325,"display":"3.325"}]},{"id":"comet-tail-length-estimate","title":"Comet Tail Length Estimate","description":"Estimate a comet's tail length based on its distance from the sun.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.112Z"},"rows":[{"text":"distance_from_sun_au = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"base_tail_length_million_km = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"estimated_length = base_tail_length_million_km / distance_from_sun_au^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"commercial-lease-escalation","title":"Commercial Lease Escalation","description":"Project future rent increases in commercial lease agreements.","category":"real-estate","icon":"arrow-up-right","tags":["lease"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.112Z"},"rows":[{"text":"currentRent = 5000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"escalationRatePercentage = 3 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"yearsElapsed = 1 // year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"newRent = currentRent * (1 + (escalationRatePercentage / 100)) ^ yearsElapsed","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5150,"display":"5,150"}]},{"id":"commission-calculator","title":"Commission Calculator","description":"Calculate flat and tiered sales commissions with annual projections.","category":"business","icon":"handshake","tags":["sales","income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.112Z"},"rows":[{"text":"# Sales Info","label":null,"prefix":null,"suffix":null,"section":"Sales Info","hero":false,"slider":null,"value":null,"display":null},{"text":"$sale amount = 50000 // 1k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Sales Info","hidden":false,"hero":false,"slider":{"min":1000,"max":500000,"step":1000},"value":50000,"display":"$50,000.00"},{"text":"commission rate = 10 // % 1..50","label":null,"prefix":null,"suffix":"%","section":"Sales Info","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":10,"display":"10"},{"text":"# Tiered Rates","label":null,"prefix":null,"suffix":null,"section":"Tiered Rates","hero":false,"slider":null,"value":null,"display":null},{"text":"$tier 1 threshold = 25000 // 5k..200k by 1k","label":null,"prefix":"$","suffix":null,"section":"Tiered Rates","hidden":false,"hero":false,"slider":{"min":5000,"max":200000,"step":1000},"value":25000,"display":"$25,000.00"},{"text":"tier 1 rate = 8 // % 1..30","label":null,"prefix":null,"suffix":"%","section":"Tiered Rates","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":8,"display":"8"},{"text":"tier 2 rate = 12 // % 1..50","label":null,"prefix":null,"suffix":"%","section":"Tiered Rates","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":12,"display":"12"},{"text":"# Simple Commission","label":null,"prefix":null,"suffix":null,"section":"Simple Commission","hero":false,"slider":null,"value":null,"display":null},{"text":"$flat commission = sale_amount * commission_rate / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Simple Commission","hidden":false,"hero":true,"slider":null,"value":5000,"display":"$5,000.00"},{"text":"# Tiered Commission","label":null,"prefix":null,"suffix":null,"section":"Tiered Commission","hero":false,"slider":null,"value":null,"display":null},{"text":"tier1 amount = min(sale_amount, tier_1_threshold)","label":null,"prefix":null,"suffix":null,"section":"Tiered Commission","hidden":false,"hero":false,"slider":null,"value":25000,"display":"25,000"},{"text":"tier2 amount = max(0, sale_amount - tier_1_threshold)","label":null,"prefix":null,"suffix":null,"section":"Tiered Commission","hidden":false,"hero":false,"slider":null,"value":25000,"display":"25,000"},{"text":"$tiered commission = tier1_amount * tier_1_rate / 100 + tier2_amount * tier_2_rate / 100","label":null,"prefix":"$","suffix":null,"section":"Tiered Commission","hidden":false,"hero":false,"slider":null,"value":5000,"display":"$5,000.00"},{"text":"# Annual Projection","label":null,"prefix":null,"suffix":null,"section":"Annual Projection","hero":false,"slider":null,"value":null,"display":null},{"text":"deals per month = 3 // 1..20","label":null,"prefix":null,"suffix":null,"section":"Annual Projection","hidden":false,"hero":false,"slider":{"min":1,"max":20,"step":0.2},"value":3,"display":"3"},{"text":"$monthly commission = flat_commission * deals_per_month","label":null,"prefix":"$","suffix":null,"section":"Annual Projection","hidden":false,"hero":false,"slider":null,"value":15000,"display":"$15,000.00"},{"text":"$annual commission = monthly_commission * 12","label":null,"prefix":"$","suffix":null,"section":"Annual Projection","hidden":false,"hero":false,"slider":null,"value":180000,"display":"$180,000.00"}]},{"id":"commute-time-lifetime-cost","title":"Commute Time Lifetime Cost","description":"Estimate the lifetime hours and dollar cost of a daily commute.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.113Z"},"rows":[{"text":"commute_minutes_one_way = 45 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"work_days_per_year = 240 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"years_working = 40 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"hourly_wage_value = 50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"_total_commute_hours_per_year = (commute_minutes_one_way * 2 * work_days_per_year) / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"@hero lifetime_commute_hours = total_commute_hours_per_year * years_working // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":true,"slider":null,"value":14400,"display":"14,400"},{"text":"@hero lifetime_time_cost_value = lifetime_commute_hours * hourly_wage_value // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":720000,"display":"720,000"}]},{"id":"complementary-color-hue-finder","title":"Complementary Color Hue Finder","description":"Find the complementary HSL hue 180 degrees opposite a given hue.","category":"design","icon":"palette","tags":["color"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.113Z"},"rows":[{"text":"original_hue = 45 // degrees (HSL)","label":null,"prefix":null,"suffix":"degrees (HSL)","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"@hero complementary_hue = (original_hue + 180) % 360 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"completing-the-square","title":"Completing the Square","description":"Convert ax² + bx + c into a(x − h)² + k form.","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.113Z"},"rows":[{"text":"# Coefficients","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 1 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":1,"display":"1"},{"text":"b = -6 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":-6,"display":"-6"},{"text":"c = 5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":5,"display":"5"},{"text":"# Vertex form: a(x − h)² + k","label":null,"prefix":null,"suffix":null,"section":"Vertex form: a(x − h)² + k","hero":false,"slider":null,"value":null,"display":null},{"text":"h = -b / (2 * a) // @hero","label":null,"prefix":null,"suffix":null,"section":"Vertex form: a(x − h)² + k","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"},{"text":"k = c - b^2 / (4 * a) // @hero","label":null,"prefix":null,"suffix":null,"section":"Vertex form: a(x − h)² + k","hidden":false,"hero":true,"slider":null,"value":-4,"display":"-4"}]},{"id":"complex-number-magnitude","title":"Complex Number Magnitude","description":"Calculate the magnitude and angle of a complex number from real and imaginary parts.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.114Z"},"rows":[{"text":"real_part = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"imaginary_part = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"@hero magnitude = sqrt(real_part^2 + imaginary_part^2)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"@hero angle_degrees = atan2(imaginary_part, real_part) * 180 / pi // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":true,"slider":null,"value":3044.1306299912176,"display":"3,044.1306"}]},{"id":"compliance-training-completion-rate","title":"Compliance Training Rate","description":"Monitor the percentage of staff meeting training requirements.","category":"other","icon":"graduation-cap","tags":["compliance","training"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.114Z"},"rows":[{"text":"employeesTrained = 450 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"totalEmployees = 500 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"completionRate = (employeesTrained / totalEmployees) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":90,"display":"90"}]},{"id":"compost-heat-output","title":"Compost Heat Output","description":"Estimate the thermal power generated by a compost pile.","category":"science","icon":"thermometer","tags":["science","garden","compost"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.114Z"},"rows":[{"text":"compost_volume_cubic_meters = 1.5 // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"ambient_temp_celsius = 15 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"compost_internal_temp_celsius = 55 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":55,"display":"55"},{"text":"heat_loss_coefficient = 10 // W/m2K","label":null,"prefix":null,"suffix":"W/m2K","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"surface_area_approx = 6 * (compost_volume_cubic_meters^(2/3)) // m2","label":null,"prefix":null,"suffix":"m2","section":null,"hidden":false,"hero":false,"slider":null,"value":7.862224182626689,"display":"7.8622"},{"text":"@hero heat_output_watts = heat_loss_coefficient * surface_area_approx * (compost_internal_temp_celsius - ambient_temp_celsius) // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":true,"slider":null,"value":3144.889673050676,"display":"3,144.8897"}]},{"id":"compost-nitrogen-carbon-ratio","title":"Compost Nitrogen Carbon Ratio","description":"Calculate the ideal C:N ratio for your compost pile.","category":"science","icon":"leaf","tags":["garden","compost","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.115Z"},"rows":[{"text":"greens_weight = 10 // kg (nitrogen rich)","label":null,"prefix":null,"suffix":"kg (nitrogen rich)","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"browns_weight = 20 // kg (carbon rich)","label":null,"prefix":null,"suffix":"kg (carbon rich)","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"greens_carbon_percent = 15 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"greens_nitrogen_percent = 5 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"browns_carbon_percent = 50 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"browns_nitrogen_percent = 1 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"total_carbon = (greens_weight * greens_carbon_percent / 100) + (browns_weight * browns_carbon_percent / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":11.5,"display":"11.5"},{"text":"total_nitrogen = (greens_weight * greens_nitrogen_percent / 100) + (browns_weight * browns_nitrogen_percent / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"@hero carbon_nitrogen_ratio = total_carbon / total_nitrogen","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16.428571428571427,"display":"16.4286"}]},{"id":"compound-annual-growth-rate","title":"Compound Annual Growth Rate","description":"Calculate compound annual growth rate (CAGR) from beginning and ending values.","category":"finance","icon":"dollar-sign","tags":["compound","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.115Z"},"rows":[{"text":"# Growth Details","label":null,"prefix":null,"suffix":null,"section":"Growth Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$beginning value = 10000 // 1..10M","label":null,"prefix":"$","suffix":null,"section":"Growth Details","hidden":false,"hero":false,"slider":{"min":1,"max":10000000,"step":100000},"value":10000,"display":"$10,000.00"},{"text":"$ending value = 25000 // 1..20M","label":null,"prefix":"$","suffix":null,"section":"Growth Details","hidden":false,"hero":false,"slider":{"min":1,"max":20000000,"step":200000},"value":25000,"display":"$25,000.00"},{"text":"number of years = 5 // years 1..50","label":null,"prefix":null,"suffix":"years","section":"Growth Details","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":5,"display":"5"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"compound annual growth rate = ((ending value / beginning value)^(1 / number of years) - 1) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":20.11244339814314,"display":"20.1124"},{"text":"$total gain = ending value - beginning value","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":15000,"display":"$15,000.00"},{"text":"total percentage increase = (ending value / beginning value - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated value in 5 more years = ending value * (1 + compound annual growth rate / 100)^5","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":62500.00000000002,"display":"$62,500.00"}]},{"id":"compound-interest","title":"Compound Interest","description":"See how your investments grow with the power of compound interest over time.","category":"finance","icon":"trending-up","tags":["compound","interest","investment"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.115Z"},"rows":[{"text":"# Investment Details","label":null,"prefix":null,"suffix":null,"section":"Investment Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$initial investment = 10000 // 100..1M","label":null,"prefix":"$","suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":100,"max":1000000,"step":10000},"value":10000,"display":"$10,000.00"},{"text":"annual interest rate = 7 // % 0..30 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Investment Details","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":0.1},"value":7,"display":"7"},{"text":"investment period = 20 // years 1..50","label":null,"prefix":null,"suffix":"years","section":"Investment Details","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":20,"display":"20"},{"text":"compounds per year = 12 // 1..365","label":null,"prefix":null,"suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":1,"max":365,"step":1},"value":12,"display":"12"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"rate per period = (annual interest rate / 100) / compounds per year","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0.005833333333333334,"display":"0.005833"},{"text":"total periods = investment period * compounds per year","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$final amount = round(initial investment * (1 + rate per period)^total periods, 2) // @hero","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":40387.39,"display":"$40,387.39"},{"text":"$total interest earned = round(final amount - initial investment, 2)","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":30387.39,"display":"$30,387.39"}]},{"id":"compression-ratio-calculator","title":"Compression Ratio Calculator","description":"Calculate engine compression ratio.","category":"engineering","icon":"settings","tags":["automotive","engine"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.115Z"},"rows":[{"text":"# Cylinder Volume","label":null,"prefix":null,"suffix":null,"section":"Cylinder Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"cylinder volume cubic centimeters = 500","label":null,"prefix":null,"suffix":null,"section":"Cylinder Volume","hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"combustion chamber volume cubic centimeters = 50","label":null,"prefix":null,"suffix":null,"section":"Cylinder Volume","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"compression ratio = (cylinder volume cubic centimeters + combustion chamber volume cubic centimeters) / combustion chamber volume cubic centimeters","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":11,"display":"11"}]},{"id":"concrete-column-estimator","title":"Concrete Column Estimator","description":"Estimate cubic yards of concrete and 80lb bags needed for round columns.","category":"everyday","icon":"home","tags":["concrete","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.115Z"},"rows":[{"text":"# Column Dimensions","label":null,"prefix":null,"suffix":null,"section":"Column Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"diameter = 12 // inches 6..48","label":null,"prefix":null,"suffix":"inches","section":"Column Dimensions","hidden":false,"hero":false,"slider":{"min":6,"max":48,"step":1},"value":12,"display":"12"},{"text":"height = 8 // feet 1..20","label":null,"prefix":null,"suffix":"feet","section":"Column Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":20,"step":0.2},"value":8,"display":"8"},{"text":"number of columns = 1 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Column Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":1,"display":"1"},{"text":"# Volume Calculations","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_radius_feet = diameter / 24","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_volume_per_column_cubic_feet = PI * (radius_feet^2) * height","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":6.283185307179586,"display":"6.2832"},{"text":"_total_volume_cubic_feet = volume_per_column_cubic_feet * number of columns","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":6.283185307179586,"display":"6.2832"},{"text":"total volume cubic yards = round(total_volume_cubic_feet / 27, 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":false,"hero":true,"slider":null,"value":0.23,"display":"0.23"},{"text":"# Concrete Bags (80 lb)","label":null,"prefix":null,"suffix":null,"section":"Concrete Bags (80 lb)","hero":false,"slider":null,"value":null,"display":null},{"text":"# One 80lb bag yields approx 0.6 cubic feet","label":null,"prefix":null,"suffix":null,"section":"One 80lb bag yields approx 0.6 cubic feet","hero":false,"slider":null,"value":null,"display":null},{"text":"bags needed = roundup(total_volume_cubic_feet / 0.6)","label":null,"prefix":null,"suffix":null,"section":"One 80lb bag yields approx 0.6 cubic feet","hidden":false,"hero":false,"slider":null,"value":11,"display":"11"}]},{"id":"concrete-footing-estimator","title":"Concrete Footing Estimator","description":"Estimate cubic yards of concrete and 80lb bags needed for rectangular footings.","category":"everyday","icon":"home","tags":["concrete","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.116Z"},"rows":[{"text":"# Footing Dimensions","label":null,"prefix":null,"suffix":null,"section":"Footing Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 24 // inches 6..120","label":null,"prefix":null,"suffix":"inches","section":"Footing Dimensions","hidden":false,"hero":false,"slider":{"min":6,"max":120,"step":1},"value":24,"display":"24"},{"text":"width = 24 // inches 6..120","label":null,"prefix":null,"suffix":"inches","section":"Footing Dimensions","hidden":false,"hero":false,"slider":{"min":6,"max":120,"step":1},"value":24,"display":"24"},{"text":"depth = 12 // inches 6..48","label":null,"prefix":null,"suffix":"inches","section":"Footing Dimensions","hidden":false,"hero":false,"slider":{"min":6,"max":48,"step":1},"value":12,"display":"12"},{"text":"number of footings = 4 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Footing Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":4,"display":"4"},{"text":"# Volume Calculations","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_volume_per_footing_cubic_inches = length * width * depth","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":6912,"display":"6,912"},{"text":"_total_volume_cubic_inches = volume_per_footing_cubic_inches * number of footings","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":27648,"display":"27,648"},{"text":"_total_volume_cubic_feet = total_volume_cubic_inches / 1728","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"total volume cubic yards = round(total_volume_cubic_feet / 27, 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":false,"hero":true,"slider":null,"value":0.59,"display":"0.59"},{"text":"# Concrete Bags (80 lb)","label":null,"prefix":null,"suffix":null,"section":"Concrete Bags (80 lb)","hero":false,"slider":null,"value":null,"display":null},{"text":"# One 80lb bag yields approx 0.6 cubic feet","label":null,"prefix":null,"suffix":null,"section":"One 80lb bag yields approx 0.6 cubic feet","hero":false,"slider":null,"value":null,"display":null},{"text":"bags needed = roundup(total_volume_cubic_feet / 0.6)","label":null,"prefix":null,"suffix":null,"section":"One 80lb bag yields approx 0.6 cubic feet","hidden":false,"hero":false,"slider":null,"value":27,"display":"27"}]},{"id":"concrete-slab-estimator","title":"Concrete Slab Estimator","description":"Estimate cubic yards of concrete and 80lb bags needed for a slab.","category":"everyday","icon":"home","tags":["concrete","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.116Z"},"rows":[{"text":"# Slab Dimensions","label":null,"prefix":null,"suffix":null,"section":"Slab Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 12 // feet 1..100","label":null,"prefix":null,"suffix":"feet","section":"Slab Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":12,"display":"12"},{"text":"width = 12 // feet 1..100","label":null,"prefix":null,"suffix":"feet","section":"Slab Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":12,"display":"12"},{"text":"thickness = 4 // inches 2..12","label":null,"prefix":null,"suffix":"inches","section":"Slab Dimensions","hidden":false,"hero":false,"slider":{"min":2,"max":12,"step":0.1},"value":4,"display":"4"},{"text":"# Volume Calculations","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_thickness_feet = thickness / 12","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":0.3333333333333333,"display":"0.3333"},{"text":"_volume_cubic_feet = length * width * thickness_feet","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":47.99999999999999,"display":"48"},{"text":"volume cubic yards = round(volume_cubic_feet / 27, 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":false,"hero":true,"slider":null,"value":1.78,"display":"1.78"},{"text":"# Concrete Bags (80 lb)","label":null,"prefix":null,"suffix":null,"section":"Concrete Bags (80 lb)","hero":false,"slider":null,"value":null,"display":null},{"text":"# One 80lb bag yields approx 0.6 cubic feet","label":null,"prefix":null,"suffix":null,"section":"One 80lb bag yields approx 0.6 cubic feet","hero":false,"slider":null,"value":null,"display":null},{"text":"bags needed = roundup(volume_cubic_feet / 0.6)","label":null,"prefix":null,"suffix":null,"section":"One 80lb bag yields approx 0.6 cubic feet","hidden":false,"hero":false,"slider":null,"value":80,"display":"80"}]},{"id":"concrete-volume-stairs","title":"Concrete Volume for Stairs","description":"Calculate cubic meters or yards for a set of stairs.","category":"construction","icon":"box","tags":["construction","concrete"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.116Z"},"rows":[{"text":"number_of_steps = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"step_width_meters = 1.2 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"step_rise_meters = 0.18 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.18,"display":"0.18"},{"text":"step_run_meters = 0.3 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"volume_per_step = step_width_meters * step_rise_meters * step_run_meters // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":false,"slider":null,"value":0.0648,"display":"0.0648"},{"text":"total_step_volume = volume_per_step * (number_of_steps * (number_of_steps + 1) / 2) // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":false,"slider":null,"value":0.972,"display":"0.972"},{"text":"@hero total_concrete_cubic_meters = total_step_volume // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":true,"slider":null,"value":0.972,"display":"0.972"},{"text":"cubic_yards = total_concrete_cubic_meters * 1.308","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.271376,"display":"1.2714"}]},{"id":"concrete-volume","title":"Concrete Volume","description":"Calculate cubic yards needed for concrete slabs, footings, and columns.","category":"construction","icon":"box","tags":["concrete"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.116Z"},"rows":[{"text":"# Slab Dimensions","label":null,"prefix":null,"suffix":null,"section":"Slab Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 10 // ft 1..100","label":null,"prefix":null,"suffix":"ft","section":"Slab Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"10"},{"text":"width = 8 // ft 1..100","label":null,"prefix":null,"suffix":"ft","section":"Slab Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":8,"display":"8"},{"text":"depth = 4 // in 2..24","label":null,"prefix":null,"suffix":"in","section":"Slab Dimensions","hidden":false,"hero":false,"slider":{"min":2,"max":24,"step":1},"value":4,"display":"4"},{"text":"# Volume","label":null,"prefix":null,"suffix":null,"section":"Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"_depth_ft = depth / 12","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":true,"hero":false,"slider":null,"value":0.3333333333333333,"display":"0.3333"},{"text":"_volume_cubic_feet = length * width * depth_ft // cu ft","label":null,"prefix":null,"suffix":"cu ft","section":"Volume","hidden":true,"hero":false,"slider":null,"value":26.66666666666666,"display":"26.6667"},{"text":"volume cubic yards = round(volume_cubic_feet / 27, 2) // cu yd @hero @label(Volume)","label":"Volume","prefix":null,"suffix":"cu yd","section":"Volume","hidden":false,"hero":true,"slider":null,"value":0.99,"display":"0.99"},{"text":"# Materials","label":null,"prefix":null,"suffix":null,"section":"Materials","hero":false,"slider":null,"value":null,"display":null},{"text":"waste factor = 10 // % 0..25","label":null,"prefix":null,"suffix":"%","section":"Materials","hidden":false,"hero":false,"slider":{"min":0,"max":25,"step":1},"value":10,"display":"10"},{"text":"yards to order = round(volume_cubic_yards * (1 + waste_factor / 100), 2) // cu yd","label":null,"prefix":null,"suffix":"cu yd","section":"Materials","hidden":false,"hero":false,"slider":null,"value":1.09,"display":"1.09"},{"text":"# Cost","label":null,"prefix":null,"suffix":null,"section":"Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$price per cubic yard = 150 // 50..300","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":{"min":50,"max":300,"step":1},"value":150,"display":"$150.00"},{"text":"$total concrete cost = round(yards_to_order * price_per_cubic_yard, 2)","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":163.5,"display":"$163.50"},{"text":"bags needed = roundup(volume_cubic_feet * 1.1 / 0.6) // 80lb bags @label(80lb bags needed)","label":"80lb bags needed","prefix":null,"suffix":"80lb bags","section":"Cost","hidden":false,"hero":false,"slider":null,"value":49,"display":"49"}]},{"id":"conditional-probability","title":"Conditional Probability","description":"Compute P(A|B) = P(A ∩ B) / P(B).","category":"formulas","icon":"percent","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.116Z"},"rows":[{"text":"# Probabilities","label":null,"prefix":null,"suffix":null,"section":"Probabilities","hero":false,"slider":null,"value":null,"display":null},{"text":"prob_a_and_b = 0.2 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Probabilities","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.2,"display":"0.2"},{"text":"prob_b = 0.5 // 0.01..1","label":null,"prefix":null,"suffix":null,"section":"Probabilities","hidden":false,"hero":false,"slider":{"min":0.01,"max":1,"step":0.01},"value":0.5,"display":"0.5"},{"text":"# Conditional probability","label":null,"prefix":null,"suffix":null,"section":"Conditional probability","hero":false,"slider":null,"value":null,"display":null},{"text":"prob_a_given_b = prob_a_and_b / prob_b // @label(P(A|B))","label":"P(A|B)","prefix":null,"suffix":null,"section":"Conditional probability","hidden":false,"hero":true,"slider":null,"value":0.4,"display":"0.4"}]},{"id":"cone-surface-area","title":"Cone Surface Area","description":"Find the surface area of a cone (lateral + base).","category":"formulas","icon":"cone","tags":["surface-area","geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.117Z"},"rows":[{"text":"# Cone","label":null,"prefix":null,"suffix":null,"section":"Cone","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cone","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"height = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cone","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# Slant height and surface area","label":null,"prefix":null,"suffix":null,"section":"Slant height and surface area","hero":false,"slider":null,"value":null,"display":null},{"text":"slant_height = sqrt(radius^2 + height^2)","label":null,"prefix":null,"suffix":null,"section":"Slant height and surface area","hidden":false,"hero":false,"slider":null,"value":11.180339887498949,"display":"11.1803"},{"text":"lateral_area = pi * radius * slant_height","label":null,"prefix":null,"suffix":null,"section":"Slant height and surface area","hidden":false,"hero":false,"slider":null,"value":175.62036827601816,"display":"175.6204"},{"text":"base_area = pi * radius^2","label":null,"prefix":null,"suffix":null,"section":"Slant height and surface area","hidden":false,"hero":false,"slider":null,"value":78.53981633974483,"display":"78.5398"},{"text":"total_surface_area = lateral_area + base_area","label":null,"prefix":null,"suffix":null,"section":"Slant height and surface area","hidden":false,"hero":true,"slider":null,"value":254.160184615763,"display":"254.1602"}]},{"id":"cone-volume","title":"Cone Volume","description":"Find the volume of a cone: V = (1/3) × π × r² × h.","category":"formulas","icon":"cone","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.117Z"},"rows":[{"text":"# Cone","label":null,"prefix":null,"suffix":null,"section":"Cone","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cone","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"height = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cone","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# Volume","label":null,"prefix":null,"suffix":null,"section":"Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"volume = (1 / 3) * pi * radius^2 * height","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":true,"slider":null,"value":261.7993877991494,"display":"261.7994"}]},{"id":"confidence-interval-mean","title":"Confidence Interval Mean","description":"Calculate a confidence interval for the mean from sample stats and confidence level.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.117Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"sample mean = 100","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"sample standard deviation = 15","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"sample size = 50","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"confidence level factor = 1.96 // 1.96 for 95%","label":null,"prefix":null,"suffix":"1.96 for 95%","section":"Inputs","hidden":false,"hero":false,"slider":null,"value":1.96,"display":"1.96"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_standard_error = sample standard deviation / sqrt(sample size)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":2.1213203435596424,"display":"2.1213"},{"text":"margin of error = confidence level factor * standard_error // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4.157787873376899,"display":"4.1578"},{"text":"# Interval","label":null,"prefix":null,"suffix":null,"section":"Interval","hero":false,"slider":null,"value":null,"display":null},{"text":"lower bound = sample mean - margin of error // @hero","label":null,"prefix":null,"suffix":null,"section":"Interval","hidden":false,"hero":true,"slider":null,"value":95.84221212662311,"display":"95.8422"},{"text":"upper bound = sample mean + margin of error // @hero","label":null,"prefix":null,"suffix":null,"section":"Interval","hidden":false,"hero":true,"slider":null,"value":104.15778787337689,"display":"104.1578"}]},{"id":"container-load-factor","title":"Container Load Factor","description":"Measure the volume utilization of your shipping containers.","category":"business","icon":"box","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.117Z"},"rows":[{"text":"actualCargoVolume = 25 // cubic meters","label":null,"prefix":null,"suffix":"cubic meters","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"maximumCapacity = 33 // cubic meters","label":null,"prefix":null,"suffix":"cubic meters","section":null,"hidden":false,"hero":false,"slider":null,"value":33,"display":"33"},{"text":"loadFactor = (actualCargoVolume / maximumCapacity) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":75.75757575757575,"display":"75.7576"}]},{"id":"container-packing-efficiency","title":"Container Packing Efficiency","description":"Calculate how much of a container is utilized by your cargo.","category":"business","icon":"box","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.118Z"},"rows":[{"text":"containerVolume = 33 // cubic meters","label":null,"prefix":null,"suffix":"cubic meters","section":null,"hidden":false,"hero":false,"slider":null,"value":33,"display":"33"},{"text":"cargoVolume = 28 // cubic meters","label":null,"prefix":null,"suffix":"cubic meters","section":null,"hidden":false,"hero":false,"slider":null,"value":28,"display":"28"},{"text":"packingEfficiency = (cargoVolume / containerVolume) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":84.84848484848484,"display":"84.8485"}]},{"id":"conversion-rate-optimization-uplift","title":"Conversion Rate Optimization Uplift","description":"Estimate revenue uplift from a conversion rate improvement on monthly visitors.","category":"business","icon":"briefcase","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.118Z"},"rows":[{"text":"monthly_visitors = 50000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"current_conversion_rate = 0.02","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.02,"display":"0.02"},{"text":"new_conversion_rate = 0.025","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.025,"display":"0.025"},{"text":"average_order_value = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"current_revenue = monthly_visitors * current_conversion_rate * average_order_value","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"new_revenue = monthly_visitors * new_conversion_rate * average_order_value","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":125000,"display":"125,000"},{"text":"revenue_uplift = new_revenue - current_revenue","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":25000,"display":"25,000"}]},{"id":"copper-scrap-value","title":"Copper Scrap Value","description":"Calculate the scrap value of copper from weight, price, and purity percentage.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.118Z"},"rows":[{"text":"copper_price_per_pound = 3.50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"copper_weight_pounds = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"purity_percentage = 95","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":95,"display":"95"},{"text":"estimated_copper_scrap_value = copper_weight_pounds * copper_price_per_pound * (purity_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":166.25,"display":"166.25"}]},{"id":"copyright-expiration-estimator","title":"Copyright Expiration","description":"Determine the likely expiration year for creative works.","category":"other","icon":"award","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.118Z"},"rows":[{"text":"creationYear = 2024 // year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":2024,"display":"2,024"},{"text":"authorLifeYears = 50 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"postLifeTerm = 70 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"estimatedExpirationYear = creationYear + authorLifeYears + postLifeTerm","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2144,"display":"2,144"}]},{"id":"corporate-bylaw-compliance-score","title":"Corporate Compliance Score","description":"Audit your company's adherence to its internal bylaws.","category":"other","icon":"check-square","tags":["compliance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.119Z"},"rows":[{"text":"totalRequirementCount = 20 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"metRequirementCount = 18 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"complianceScore = (metRequirementCount / totalRequirementCount) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":90,"display":"90"}]},{"id":"correlation-coefficient-r","title":"Correlation Coefficient R","description":"Calculate the Pearson correlation coefficient (r) for three (x, y) data pairs.","category":"other","icon":"calculator","tags":["coefficient"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.119Z"},"rows":[{"text":"# Pair 1","label":null,"prefix":null,"suffix":null,"section":"Pair 1","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 1","label":null,"prefix":null,"suffix":null,"section":"Pair 1","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"y1 = 2","label":null,"prefix":null,"suffix":null,"section":"Pair 1","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Pair 2","label":null,"prefix":null,"suffix":null,"section":"Pair 2","hero":false,"slider":null,"value":null,"display":null},{"text":"x2 = 2","label":null,"prefix":null,"suffix":null,"section":"Pair 2","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"y2 = 4","label":null,"prefix":null,"suffix":null,"section":"Pair 2","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"# Pair 3","label":null,"prefix":null,"suffix":null,"section":"Pair 3","hero":false,"slider":null,"value":null,"display":null},{"text":"x3 = 3","label":null,"prefix":null,"suffix":null,"section":"Pair 3","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"y3 = 5","label":null,"prefix":null,"suffix":null,"section":"Pair 3","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_count = 3","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"_mean_x = (x1 + x2 + x3) / count","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"_mean_y = (y1 + y2 + y3) / count","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":3.6666666666666665,"display":"3.6667"},{"text":"_numerator = (x1-mean_x)*(y1-mean_y) + (x2-mean_x)*(y2-mean_y) + (x3-mean_x)*(y3-mean_y)","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"_sum_sq_x = (x1-mean_x)^2 + (x2-mean_x)^2 + (x3-mean_x)^2","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"_sum_sq_y = (y1-mean_y)^2 + (y2-mean_y)^2 + (y3-mean_y)^2","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":4.666666666666666,"display":"4.6667"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"correlation r = numerator / sqrt(sum_sq_x * sum_sq_y)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0.9819805060619659,"display":"0.982"}]},{"id":"cosmic-redshift-velocity","title":"Cosmic Redshift Velocity","description":"Calculate recession velocity from cosmological redshift using special relativity.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.119Z"},"rows":[{"text":"redshift_z = 0.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"speed_of_light_km_s = 299792","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":299792,"display":"299,792"},{"text":"velocity_km_s = speed_of_light_km_s * (((redshift_z + 1)^2 - 1) / ((redshift_z + 1)^2 + 1))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":28487.022624434416,"display":"28,487.0226"}]},{"id":"cost-of-living-index-comparison","title":"Cost of Living Index Comparison","description":"Calculate the equivalent salary needed to maintain purchasing power in another city.","category":"other","icon":"calculator","tags":["index"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.119Z"},"rows":[{"text":"city_a_index = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"city_b_index = 125","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"current_salary = 80000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80000,"display":"80,000"},{"text":"required_salary_in_city_b = current_salary * (city_b_index / city_a_index)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100000,"display":"100,000"}]},{"id":"coulombs-law-electrostatic-force","title":"Coulombs Law Electrostatic Force","description":"Calculate the electrostatic force between two charges using Coulomb's Law.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.119Z"},"rows":[{"text":"charge_1 = 1e-6 // Coulombs","label":null,"prefix":null,"suffix":"Coulombs","section":null,"hidden":false,"hero":false,"slider":null,"value":0.000001,"display":"0.000001"},{"text":"charge_2 = 2e-6 // Coulombs","label":null,"prefix":null,"suffix":"Coulombs","section":null,"hidden":false,"hero":false,"slider":null,"value":0.000002,"display":"0.000002"},{"text":"distance = 0.05 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"_k = 8.987e9 // N*m^2/C^2","label":null,"prefix":null,"suffix":"N*m^2/C^2","section":null,"hidden":true,"hero":false,"slider":null,"value":8987000000,"display":"8,987,000,000"},{"text":"@hero electrostatic_force = k * charge_1 * charge_2 / distance^2 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":true,"slider":null,"value":7.189599999999999,"display":"7.1896"}]},{"id":"covariance","title":"Covariance","description":"Compute the population covariance of two 5-point datasets: cov(X,Y) = Σ(xᵢ−x̄)(yᵢ−ȳ) / n.","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.120Z"},"rows":[{"text":"# Dataset X","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"x2 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"x3 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"x4 = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"x5 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# Dataset Y","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hero":false,"slider":null,"value":null,"display":null},{"text":"y1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"y2 = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"y3 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"y4 = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"y5 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# Means","label":null,"prefix":null,"suffix":null,"section":"Means","hero":false,"slider":null,"value":null,"display":null},{"text":"_n = 5","label":null,"prefix":null,"suffix":null,"section":"Means","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"mean_x = (x1 + x2 + x3 + x4 + x5) / n // @label(x̄)","label":"x̄","prefix":null,"suffix":null,"section":"Means","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"mean_y = (y1 + y2 + y3 + y4 + y5) / n // @label(ȳ)","label":"ȳ","prefix":null,"suffix":null,"section":"Means","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"# Covariance","label":null,"prefix":null,"suffix":null,"section":"Covariance","hero":false,"slider":null,"value":null,"display":null},{"text":"covariance = ((x1 - mean_x) * (y1 - mean_y) + (x2 - mean_x) * (y2 - mean_y) + (x3 - mean_x) * (y3 - mean_y) + (x4 - mean_x) * (y4 - mean_y) + (x5 - mean_x) * (y5 - mean_y)) / n // @label(cov(X,Y))","label":"cov(X,Y)","prefix":null,"suffix":null,"section":"Covariance","hidden":false,"hero":true,"slider":null,"value":1.2,"display":"1.2"}]},{"id":"cpu-clock-speed-cycle-duration","title":"Cpu Clock Speed Cycle Duration","description":"Calculate a CPU's clock cycle duration in nanoseconds from its GHz speed.","category":"science","icon":"clock","tags":["cycle","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.120Z"},"rows":[{"text":"clock_speed_ghz = 3.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"cycle_duration_nanoseconds = 1 / clock_speed_ghz","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.2857142857142857,"display":"0.2857"}]},{"id":"crafting-success-rate","title":"Crafting Success Rate","description":"Calculate the success rate of crafting an item.","category":"math","icon":"tool","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.120Z"},"rows":[{"text":"# Crafting Settings","label":null,"prefix":null,"suffix":null,"section":"Crafting Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base success rate percent = 70 // %","label":null,"prefix":null,"suffix":"%","section":"Crafting Settings","hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"crafting skill level = 25","label":null,"prefix":null,"suffix":null,"section":"Crafting Settings","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"difficulty level = 10","label":null,"prefix":null,"suffix":null,"section":"Crafting Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_skill_bonus = (crafting skill level - difficulty level) * 2","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"final success rate percent = base success rate percent + skill_bonus","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"credit-card-payoff-avalanche","title":"Credit Card Payoff Avalanche","description":"Calculate months to pay off a high-interest credit card with extra principal payments.","category":"finance","icon":"credit-card","tags":["payoff","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.120Z"},"rows":[{"text":"# High Interest Debt","label":null,"prefix":null,"suffix":null,"section":"High Interest Debt","hero":false,"slider":null,"value":null,"display":null},{"text":"$current balance = 8000 // 500..50k by 100","label":null,"prefix":"$","suffix":null,"section":"High Interest Debt","hidden":false,"hero":false,"slider":{"min":500,"max":50000,"step":100},"value":8000,"display":"$8,000.00"},{"text":"interest rate = 28.9 // % 5..40 by 0.1","label":null,"prefix":null,"suffix":"%","section":"High Interest Debt","hidden":false,"hero":false,"slider":{"min":5,"max":40,"step":0.1},"value":28.9,"display":"28.9"},{"text":"$minimum monthly payment = 200 // 25..2k by 25","label":null,"prefix":"$","suffix":null,"section":"High Interest Debt","hidden":false,"hero":false,"slider":{"min":25,"max":2000,"step":25},"value":200,"display":"$200.00"},{"text":"$extra monthly budget = 150 // 0..2k by 50","label":null,"prefix":"$","suffix":null,"section":"High Interest Debt","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":50},"value":150,"display":"$150.00"},{"text":"# Total Payment","label":null,"prefix":null,"suffix":null,"section":"Total Payment","hero":false,"slider":null,"value":null,"display":null},{"text":"$_total_monthly_payment = minimum monthly payment + extra monthly budget","label":null,"prefix":"$","suffix":null,"section":"Total Payment","hidden":true,"hero":false,"slider":null,"value":350,"display":"$350.00"},{"text":"_monthly_interest_rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Total Payment","hidden":true,"hero":false,"slider":null,"value":0.024083333333333335,"display":"0.0241"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"months to payoff = -ln(1 - (monthly_interest_rate * current balance) / total_monthly_payment) / ln(1 + monthly_interest_rate) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":33.59818889425216,"display":"33.5982"},{"text":"# Impact","label":null,"prefix":null,"suffix":null,"section":"Impact","hero":false,"slider":null,"value":null,"display":null},{"text":"years to payoff = months to payoff / 12","label":null,"prefix":null,"suffix":null,"section":"Impact","hidden":false,"hero":false,"slider":null,"value":2.7998490745210134,"display":"2.7998"},{"text":"$total interest cost = (total_monthly_payment * months to payoff) - current balance","label":null,"prefix":"$","suffix":null,"section":"Impact","hidden":false,"hero":false,"slider":null,"value":3759.366112988256,"display":"$3,759.37"},{"text":"$interest saved vs minimum = current balance * (interest rate / 100) // per year estimate","label":null,"prefix":"$","suffix":"per year estimate","section":"Impact","hidden":false,"hero":false,"slider":null,"value":2312,"display":"$2,312.00"}]},{"id":"credit-card-payoff-snowball","title":"Credit Card Payoff Snowball","description":"Calculate months and total interest to pay off a credit card with extra payments.","category":"finance","icon":"credit-card","tags":["payoff","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.121Z"},"rows":[{"text":"# Debt Details","label":null,"prefix":null,"suffix":null,"section":"Debt Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$current balance = 5000 // 500..50k by 100","label":null,"prefix":"$","suffix":null,"section":"Debt Details","hidden":false,"hero":false,"slider":{"min":500,"max":50000,"step":100},"value":5000,"display":"$5,000.00"},{"text":"interest rate = 22.9 // % 5..35 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Debt Details","hidden":false,"hero":false,"slider":{"min":5,"max":35,"step":0.1},"value":22.9,"display":"22.9"},{"text":"$monthly payment = 150 // 25..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Debt Details","hidden":false,"hero":false,"slider":{"min":25,"max":2000,"step":25},"value":150,"display":"$150.00"},{"text":"$extra monthly payment = 100 // 0..1k","label":null,"prefix":"$","suffix":null,"section":"Debt Details","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":100,"display":"$100.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_monthly = monthly payment + extra monthly payment","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"_monthly_interest_rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":0.019083333333333334,"display":"0.0191"},{"text":"# Use NPER formula for months to payoff","label":null,"prefix":null,"suffix":null,"section":"Use NPER formula for months to payoff","hero":false,"slider":null,"value":null,"display":null},{"text":"# n = -ln(1 - (r*PV)/P) / ln(1 + r)","label":null,"prefix":null,"suffix":null,"section":"n = -ln(1 - (r*PV)/P) / ln(1 + r)","hero":false,"slider":null,"value":null,"display":null},{"text":"months to payoff = -ln(1 - (monthly_interest_rate * current balance) / total_monthly) / ln(1 + monthly_interest_rate) // @hero","label":null,"prefix":null,"suffix":null,"section":"n = -ln(1 - (r*PV)/P) / ln(1 + r)","hidden":false,"hero":true,"slider":null,"value":25.430572064973507,"display":"25.4306"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"years to payoff = months to payoff / 12","label":null,"prefix":null,"suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":2.1192143387477924,"display":"2.1192"},{"text":"$total amount paid = total_monthly * months to payoff","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":6357.643016243377,"display":"$6,357.64"},{"text":"$total interest paid = total amount paid - current balance","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":1357.643016243377,"display":"$1,357.64"}]},{"id":"cricket-run-rate","title":"Cricket Run Rate","description":"Calculate cricket run rate.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.121Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"total runs = 240","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"total overs = 50","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"run rate = total runs / total overs","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4.8,"display":"4.8"}]},{"id":"cricket-strike-rate","title":"Cricket Strike Rate","description":"Calculate cricket batting strike rate.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.121Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"runs scored = 45","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"balls faced = 30","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"strike rate = (runs scored / balls faced) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":150,"display":"150"}]},{"id":"critical-hit-chance-multiplier","title":"Critical Hit Chance Multiplier","description":"Calculate total critical hit chance from multiple bonuses.","category":"math","icon":"target","tags":["gaming","combat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.121Z"},"rows":[{"text":"# Chance Settings","label":null,"prefix":null,"suffix":null,"section":"Chance Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base crit chance percent = 5 // %","label":null,"prefix":null,"suffix":"%","section":"Chance Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"equipment bonus percent = 10 // %","label":null,"prefix":null,"suffix":"%","section":"Chance Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"buff bonus percent = 15 // %","label":null,"prefix":null,"suffix":"%","section":"Chance Settings","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"total crit chance percent = base crit chance percent + equipment bonus percent + buff bonus percent","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"critical-hit-damage-multiplier","title":"Critical Hit Damage Multiplier","description":"Calculate total damage on a critical hit.","category":"math","icon":"target","tags":["gaming","combat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.122Z"},"rows":[{"text":"# Damage Settings","label":null,"prefix":null,"suffix":null,"section":"Damage Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base damage = 150","label":null,"prefix":null,"suffix":null,"section":"Damage Settings","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"crit multiplier = 2.0","label":null,"prefix":null,"suffix":null,"section":"Damage Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"crit damage bonus percent = 50 // %","label":null,"prefix":null,"suffix":"%","section":"Damage Settings","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_crit_multiplier = crit multiplier + (crit damage bonus percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"final damage = base damage * total_crit_multiplier","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":375,"display":"375"}]},{"id":"crochet-yarn-estimator","title":"Crochet Yarn Estimator","description":"Estimate yards of yarn needed for a crochet project from dimensions and stitch density.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.122Z"},"rows":[{"text":"# Project Type","label":null,"prefix":null,"suffix":null,"section":"Project Type","hero":false,"slider":null,"value":null,"display":null},{"text":"# Yarn per square inch (varies by stitch)","label":null,"prefix":null,"suffix":null,"section":"Yarn per square inch (varies by stitch)","hero":false,"slider":null,"value":null,"display":null},{"text":"yarn factor = 4.5 // yards per sq inch (typical)","label":null,"prefix":null,"suffix":"yards per sq inch (typical)","section":"Yarn per square inch (varies by stitch)","hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"# Dimensions","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"width inches = 12","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"length inches = 60","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_area = width inches * length inches","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":720,"display":"720"},{"text":"estimated yardage = area * yarn factor // yards","label":null,"prefix":null,"suffix":"yards","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3240,"display":"3,240"}]},{"id":"cross-docking-efficiency","title":"Cross-Docking Efficiency","description":"Percentage of items that move directly from receiving to shipping.","category":"business","icon":"repeat","tags":["cross"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.122Z"},"rows":[{"text":"crossDockedOrders = 200 // orders","label":null,"prefix":null,"suffix":"orders","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"totalOrdersReceived = 1000 // orders","label":null,"prefix":null,"suffix":"orders","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"crossDockingRate = (crossDockedOrders / totalOrdersReceived) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"cross-stitch-fabric-size","title":"Cross Stitch Fabric Size","description":"Calculate cross-stitch fabric size from stitch counts, fabric count, and margins.","category":"other","icon":"calculator","tags":["cross"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.123Z"},"rows":[{"text":"# Design","label":null,"prefix":null,"suffix":null,"section":"Design","hero":false,"slider":null,"value":null,"display":null},{"text":"stitches wide = 150","label":null,"prefix":null,"suffix":null,"section":"Design","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"stitches high = 200","label":null,"prefix":null,"suffix":null,"section":"Design","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"# Fabric","label":null,"prefix":null,"suffix":null,"section":"Fabric","hero":false,"slider":null,"value":null,"display":null},{"text":"fabric count = 14 // stitches per inch","label":null,"prefix":null,"suffix":"stitches per inch","section":"Fabric","hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"# Margins","label":null,"prefix":null,"suffix":null,"section":"Margins","hero":false,"slider":null,"value":null,"display":null},{"text":"margin inches = 3 // per side","label":null,"prefix":null,"suffix":"per side","section":"Margins","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_design_width = stitches wide / fabric count","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":10.714285714285714,"display":"10.7143"},{"text":"_design_height = stitches high / fabric count","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":14.285714285714286,"display":"14.2857"},{"text":"total width = design_width + (2 * margin inches) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":16.714285714285715,"display":"16.7143"},{"text":"total height = design_height + (2 * margin inches) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20.28571428571429,"display":"20.2857"}]},{"id":"crown-molding-miter-bevel-angles","title":"Crown Molding Miter Bevel","description":"Calculate compound angles for crown molding installation.","category":"construction","icon":"angle","tags":["construction","woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.123Z"},"rows":[{"text":"wall_angle_degrees = 90 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"spring_angle_degrees = 38 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":38,"display":"38"},{"text":"wall_angle_rad = wall_angle_degrees * 3.14159 / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.570795,"display":"1.5708"},{"text":"spring_angle_rad = spring_angle_degrees * 3.14159 / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.6632245555555556,"display":"0.6632"},{"text":"@hero miter_angle_degrees = atan(sin(spring_angle_rad) / tan(wall_angle_rad / 2)) * 180 / 3.14159 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":true,"slider":null,"value":2301.964974721595,"display":"2,301.965"},{"text":"bevel_angle_degrees = asin(cos(spring_angle_rad) * cos(wall_angle_rad / 2)) * 180 / 3.14159 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":5097.727062321791,"display":"5,097.7271"}]},{"id":"cube-volume","title":"Cube Volume","description":"Find the volume and surface area of a cube from its side length.","category":"formulas","icon":"box","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.123Z"},"rows":[{"text":"# Side length","label":null,"prefix":null,"suffix":null,"section":"Side length","hero":false,"slider":null,"value":null,"display":null},{"text":"side = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Side length","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Volume and surface area","label":null,"prefix":null,"suffix":null,"section":"Volume and surface area","hero":false,"slider":null,"value":null,"display":null},{"text":"volume = side^3 // @hero","label":null,"prefix":null,"suffix":null,"section":"Volume and surface area","hidden":false,"hero":true,"slider":null,"value":125,"display":"125"},{"text":"surface_area = 6 * side^2","label":null,"prefix":null,"suffix":null,"section":"Volume and surface area","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"diagonal = side * sqrt(3) // @label(Space Diagonal)","label":"Space Diagonal","prefix":null,"suffix":null,"section":"Volume and surface area","hidden":false,"hero":false,"slider":null,"value":8.660254037844386,"display":"8.6603"}]},{"id":"curb-weight-to-gvwr","title":"Curb Weight To GVWR","description":"Calculate percentage of GVWR used.","category":"engineering","icon":"settings","tags":["automotive","truck"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.123Z"},"rows":[{"text":"# Weight Stats","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"curb weight = 5200","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":5200,"display":"5,200"},{"text":"gross vehicle weight rating = 7000","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":7000,"display":"7,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"percentage used = (curb weight / gross vehicle weight rating) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":74.28571428571429,"display":"74.2857"}]},{"id":"current-drift-dead-reckoning","title":"Current Drift Dead Reckoning","description":"Calculate a vessel's speed over ground from heading, speed, and ocean current.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.124Z"},"rows":[{"text":"ship_speed_knots = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"ship_heading = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"current_speed_knots = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"current_direction = 90","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"x_ground = ship_speed_knots * cos(ship_heading * pi / 180) + current_speed_knots * cos(current_direction * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":17.998872650578445,"display":"17.9989"},{"text":"y_ground = ship_speed_knots * sin(ship_heading * pi / 180) + current_speed_knots * sin(current_direction * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.08223640077613287,"display":"0.0822"},{"text":"speed_over_ground = (x_ground ** 2 + y_ground ** 2) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":17.999060517631282,"display":"17.9991"}]},{"id":"current-ratio","title":"Current Ratio","description":"Calculate the current ratio and working capital from current assets and liabilities.","category":"science","icon":"ratio","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.124Z"},"rows":[{"text":"# Assets and Liabilities","label":null,"prefix":null,"suffix":null,"section":"Assets and Liabilities","hero":false,"slider":null,"value":null,"display":null},{"text":"$total current assets = 150000 // 0..5M","label":null,"prefix":"$","suffix":null,"section":"Assets and Liabilities","hidden":false,"hero":false,"slider":{"min":0,"max":5000000,"step":50000},"value":150000,"display":"$150,000.00"},{"text":"$total current liabilities = 90000 // 1k..5M","label":null,"prefix":"$","suffix":null,"section":"Assets and Liabilities","hidden":false,"hero":false,"slider":{"min":1000,"max":5000000,"step":50000},"value":90000,"display":"$90,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"current ratio = total current assets / total current liabilities // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1.6666666666666667,"display":"1.6667"},{"text":"$working capital = total current assets - total current liabilities","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":60000,"display":"$60,000.00"},{"text":"liquidity health = if(current ratio > 2, \"Excellent\", if(current ratio >= 1, \"Good\", \"Weak\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Good","display":"Good"}]},{"id":"customer-acquisition-cost","title":"Customer Acquisition Cost","description":"Calculate customer acquisition cost (CAC) from marketing and sales spend.","category":"business","icon":"briefcase","tags":["customer","business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.124Z"},"rows":[{"text":"# Sales and Marketing","label":null,"prefix":null,"suffix":null,"section":"Sales and Marketing","hero":false,"slider":null,"value":null,"display":null},{"text":"$marketing spend = 25000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Sales and Marketing","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":25000,"display":"$25,000.00"},{"text":"$sales team spend = 15000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Sales and Marketing","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":15000,"display":"$15,000.00"},{"text":"new customers acquired = 200 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Sales and Marketing","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":200,"display":"200"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$customer acquisition cost = (marketing spend + sales team spend) / new customers acquired // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":200,"display":"$200.00"},{"text":"$total spend = marketing spend + sales team spend","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":40000,"display":"$40,000.00"},{"text":"efficiency = if(customer acquisition cost < 100, \"Excellent\", if(customer acquisition cost < 500, \"Good\", \"High Cost\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Good","display":"Good"}]},{"id":"customer-lifetime-value","title":"Customer Lifetime Value","description":"Calculate customer lifetime value from purchase value, frequency, lifespan, and margin.","category":"productivity","icon":"clock","tags":["customer","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.125Z"},"rows":[{"text":"# Customer Value","label":null,"prefix":null,"suffix":null,"section":"Customer Value","hero":false,"slider":null,"value":null,"display":null},{"text":"$average purchase value = 120 // 1..10k","label":null,"prefix":"$","suffix":null,"section":"Customer Value","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":120,"display":"$120.00"},{"text":"average purchase frequency = 4 // per year 1..52","label":null,"prefix":null,"suffix":"per year","section":"Customer Value","hidden":false,"hero":false,"slider":{"min":1,"max":52,"step":1},"value":4,"display":"4"},{"text":"average customer lifespan = 5 // years 1..50","label":null,"prefix":null,"suffix":"years","section":"Customer Value","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":5,"display":"5"},{"text":"profit margin percent = 30 // % 1..100","label":null,"prefix":null,"suffix":"%","section":"Customer Value","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":30,"display":"30"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$customer lifetime value = average purchase value * average purchase frequency * average customer lifespan * (profit margin percent / 100) // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":720,"display":"$720.00"},{"text":"$annual value per customer = average purchase value * average purchase frequency","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":480,"display":"$480.00"},{"text":"$total lifetime revenue = average purchase value * average purchase frequency * average customer lifespan","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":2400,"display":"$2,400.00"}]},{"id":"customer-response-time-average","title":"Customer Response Time Average","description":"Calculate average customer response time per support ticket.","category":"productivity","icon":"clock","tags":["customer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.125Z"},"rows":[{"text":"total_response_time_minutes = 480 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":480,"display":"480"},{"text":"number_of_tickets = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero average_response_time = total_response_time_minutes / number_of_tickets // minutes per ticket","label":null,"prefix":null,"suffix":"minutes per ticket","section":null,"hidden":false,"hero":true,"slider":null,"value":24,"display":"24"}]},{"id":"cycling-drag-force-cda","title":"Cycling Drag Force Cda","description":"Calculate drag force based on Cda and speed.","category":"engineering","icon":"activity","tags":["sports","cycling"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.125Z"},"rows":[{"text":"# Cycling Settings","label":null,"prefix":null,"suffix":null,"section":"Cycling Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"cda = 0.3 // drag area","label":null,"prefix":null,"suffix":"drag area","section":"Cycling Settings","hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"air density = 1.225 // kg/m3","label":null,"prefix":null,"suffix":"kg/m3","section":"Cycling Settings","hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"speed meters per second = 10","label":null,"prefix":null,"suffix":null,"section":"Cycling Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"drag force newtons = 0.5 * cda * air density * (speed meters per second ^ 2)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":18.375,"display":"18.375"}]},{"id":"cycling-estimated-time","title":"Cycling Estimated Time","description":"Calculate estimated time for a cycling distance.","category":"health","icon":"activity","tags":["sports","cycling"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.125Z"},"rows":[{"text":"# Ride Settings","label":null,"prefix":null,"suffix":null,"section":"Ride Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"distance kilometers = 40","label":null,"prefix":null,"suffix":null,"section":"Ride Settings","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"average speed kilometers per hour = 32","label":null,"prefix":null,"suffix":null,"section":"Ride Settings","hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_time_hours = distance kilometers / average speed kilometers per hour","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.25,"display":"1.25"},{"text":"time minutes = time_hours * 60","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":75,"display":"75"}]},{"id":"cycling-power-to-weight-variation","title":"Cycling Power To Weight Variation","description":"Calculate power to weight ratio for different power outputs.","category":"health","icon":"activity","tags":["sports","cycling"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.125Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kilograms = 75","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"ftp watts = 280","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":280,"display":"280"},{"text":"sprint watts = 800","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"ftp watts per kilogram = ftp watts / weight kilograms // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3.7333333333333334,"display":"3.7333"},{"text":"sprint watts per kilogram = sprint watts / weight kilograms // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":10.666666666666666,"display":"10.6667"}]},{"id":"cycling-power-to-weight","title":"Cycling Power To Weight","description":"Calculate cycling power-to-weight ratio in watts per kilogram from power and rider weight.","category":"health","icon":"activity","tags":["cycling","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.126Z"},"rows":[{"text":"# Cycling Stats","label":null,"prefix":null,"suffix":null,"section":"Cycling Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"average power = 250 // watts 50..1k","label":null,"prefix":null,"suffix":"watts","section":"Cycling Stats","hidden":false,"hero":false,"slider":{"min":50,"max":1000,"step":1},"value":250,"display":"250"},{"text":"rider weight = 165 // lbs 80..300","label":null,"prefix":null,"suffix":"lbs","section":"Cycling Stats","hidden":false,"hero":false,"slider":{"min":80,"max":300,"step":1},"value":165,"display":"165"},{"text":"bike weight = 20 // lbs 10..40","label":null,"prefix":null,"suffix":"lbs","section":"Cycling Stats","hidden":false,"hero":false,"slider":{"min":10,"max":40,"step":1},"value":20,"display":"20"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"total weight lbs = rider weight + bike weight","label":null,"prefix":null,"suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":185,"display":"185"},{"text":"total weight kg = total weight lbs * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":83.91452,"display":"83.9145"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"power to weight ratio = average power / (rider weight * 0.453592) // w/kg @hero","label":null,"prefix":null,"suffix":"w/kg","section":"Result","hidden":false,"hero":true,"slider":null,"value":3.340340030581481,"display":"3.3403"},{"text":"# Category Guide","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hero":false,"slider":null,"value":null,"display":null},{"text":"untrained = 2.0","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"cat five = 2.5","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"cat four = 3.2","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":3.2,"display":"3.2"},{"text":"cat three = 3.9","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":3.9,"display":"3.9"},{"text":"cat two = 4.6","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":4.6,"display":"4.6"},{"text":"cat one = 5.3","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":5.3,"display":"5.3"},{"text":"pro = 6.0","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"}]},{"id":"cylinder-surface-area","title":"Cylinder Surface Area","description":"Find the total surface area of a closed cylinder: A = 2πr(r + h).","category":"formulas","icon":"cylinder","tags":["surface-area","geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.126Z"},"rows":[{"text":"# Cylinder","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"height = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# Surface area","label":null,"prefix":null,"suffix":null,"section":"Surface area","hero":false,"slider":null,"value":null,"display":null},{"text":"lateral_area = 2 * pi * radius * height","label":null,"prefix":null,"suffix":null,"section":"Surface area","hidden":false,"hero":false,"slider":null,"value":314.15926535897927,"display":"314.1593"},{"text":"end_area = 2 * pi * radius^2 // @label(Two Circular Ends)","label":"Two Circular Ends","prefix":null,"suffix":null,"section":"Surface area","hidden":false,"hero":false,"slider":null,"value":157.07963267948966,"display":"157.0796"},{"text":"total_surface_area = lateral_area + end_area","label":null,"prefix":null,"suffix":null,"section":"Surface area","hidden":false,"hero":true,"slider":null,"value":471.23889803846896,"display":"471.2389"}]},{"id":"cylinder-volume","title":"Cylinder Volume","description":"Find the volume of a cylinder: V = π × r² × h.","category":"formulas","icon":"cylinder","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.126Z"},"rows":[{"text":"# Cylinder","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"height = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# Volume","label":null,"prefix":null,"suffix":null,"section":"Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"volume = pi * radius^2 * height","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":true,"slider":null,"value":785.3981633974483,"display":"785.3982"}]},{"id":"daily-productivity-score-weighted","title":"Daily Productivity Score Weighted","description":"Calculate a daily productivity score from tasks completed, difficulty, and focus hours.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.126Z"},"rows":[{"text":"tasks_completed = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"average_task_difficulty = 3 // 1..5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":{"min":1,"max":5,"step":0.05},"value":3,"display":"3"},{"text":"focus_hours = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero productivity_score = tasks_completed * average_task_difficulty * focus_hours // max 200","label":null,"prefix":null,"suffix":"max 200","section":null,"hidden":false,"hero":true,"slider":null,"value":120,"display":"120"}]},{"id":"damage-rate-shipping","title":"Shipping Damage Rate","description":"Track the percentage of units damaged during transportation.","category":"business","icon":"alert-triangle","tags":["shipping"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.127Z"},"rows":[{"text":"damagedUnits = 12 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"totalUnitsShipped = 5000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"damageRate = (damagedUnits / totalUnitsShipped) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.24,"display":"0.24"}]},{"id":"damage-reduction-armor-classic","title":"Damage Reduction Armor Classic","description":"Calculate damage reduction from armor using a classic MMO formula.","category":"math","icon":"shield","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.127Z"},"rows":[{"text":"# Defense Settings","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"armor value = 500","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"level factor = 100","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"damage reduction percent = (armor value / (armor value + (400 + (85 * level factor)))) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5.319148936170214,"display":"5.3191"}]},{"id":"damage-reduction-armor-diminishing","title":"Damage Reduction Armor Diminishing","description":"Calculate damage reduction with diminishing returns.","category":"math","icon":"shield","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.127Z"},"rows":[{"text":"# Defense Settings","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"armor value = 1200","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"constant = 3000","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"damage reduction percent = (armor value / (armor value + constant)) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":28.57142857142857,"display":"28.5714"}]},{"id":"data-center-cooling-load","title":"Data Center Cooling Load","description":"Calculate data center cooling load in BTU/hour from IT equipment and heat sources.","category":"other","icon":"calculator","tags":["cooling"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.127Z"},"rows":[{"text":"it_equipment_power_watts = 100000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"other_heat_sources_watts = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"@hero cooling_load_btu_per_hour = (it_equipment_power_watts + other_heat_sources_watts) * 3.412","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":375320,"display":"375,320"}]},{"id":"debt-equity-ratio","title":"Debt Equity Ratio","description":"Calculate debt-to-equity ratio and leverage status from liabilities and equity.","category":"finance","icon":"ratio","tags":["debt","equity","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.128Z"},"rows":[{"text":"# Balance Sheet","label":null,"prefix":null,"suffix":null,"section":"Balance Sheet","hero":false,"slider":null,"value":null,"display":null},{"text":"$total liabilities = 1500000 // 0..100M","label":null,"prefix":"$","suffix":null,"section":"Balance Sheet","hidden":false,"hero":false,"slider":{"min":0,"max":100000000,"step":1000000},"value":1500000,"display":"$1,500,000.00"},{"text":"$shareholders equity = 1000000 // 1k..100M","label":null,"prefix":"$","suffix":null,"section":"Balance Sheet","hidden":false,"hero":false,"slider":{"min":1000,"max":100000000,"step":1000000},"value":1000000,"display":"$1,000,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"debt to equity ratio = total liabilities / shareholders equity // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1.5,"display":"1.5"},{"text":"total debt ratio = total liabilities / (total liabilities + shareholders equity)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"leverage status = if(debt to equity ratio > 2, \"High Leverage\", if(debt to equity ratio > 1, \"Moderate\", \"Conservative\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Moderate","display":"Moderate"}]},{"id":"debt-payoff","title":"Debt Payoff","description":"Calculate how long to pay off debt and total interest costs.","category":"finance","icon":"credit-card","tags":["debt","payoff","interest"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.128Z"},"rows":[{"text":"# Debt Details","label":null,"prefix":null,"suffix":null,"section":"Debt Details","hero":false,"slider":null,"value":null,"display":null},{"text":"total debt = $15000 // 500..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Debt Details","hidden":false,"hero":false,"slider":{"min":500,"max":100000,"step":500},"value":15000,"display":"$15,000.00"},{"text":"annual interest rate = 18 // % 1..30","label":null,"prefix":null,"suffix":"%","section":"Debt Details","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":18,"display":"18"},{"text":"monthly payment = $400 // 50..5k by 25","label":null,"prefix":"$","suffix":null,"section":"Debt Details","hidden":false,"hero":false,"slider":{"min":50,"max":5000,"step":25},"value":400,"display":"$400.00"},{"text":"# Payoff Timeline","label":null,"prefix":null,"suffix":null,"section":"Payoff Timeline","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly rate = annual interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Payoff Timeline","hidden":false,"hero":false,"slider":null,"value":0.015,"display":"0.015"},{"text":"months to payoff = -ln(1 - (total debt * monthly rate / monthly payment)) / ln(1 + monthly rate)","label":null,"prefix":null,"suffix":null,"section":"Payoff Timeline","hidden":false,"hero":false,"slider":null,"value":55.52421849460205,"display":"55.5242"},{"text":"years to payoff = round(months to payoff / 12 * 10) / 10 // @hero","label":null,"prefix":null,"suffix":null,"section":"Payoff Timeline","hidden":false,"hero":true,"slider":null,"value":4.6,"display":"4.6"},{"text":"# Cost Summary","label":null,"prefix":null,"suffix":null,"section":"Cost Summary","hero":false,"slider":null,"value":null,"display":null},{"text":"$total paid = round(monthly payment * months to payoff * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":22209.69,"display":"$22,209.69"},{"text":"$total interest paid = round((total paid - total debt) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":7209.69,"display":"$7,209.69"},{"text":"interest pct = round((total interest paid / total debt) * 100 * 10) / 10 // % @label(Interest as % of Debt)","label":"Interest as % of Debt","prefix":null,"suffix":"%","section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":48.1,"display":"48.1"}]},{"id":"debt-service-coverage-ratio","title":"Debt Service Coverage Ratio","description":"Measure the ability of a property to cover its mortgage payments.","category":"real-estate","icon":"shield-check","tags":["debt","coverage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.128Z"},"rows":[{"text":"netOperatingIncome = 60000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":60000,"display":"60,000"},{"text":"annualDebtService = 45000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":45000,"display":"45,000"},{"text":"dscr = netOperatingIncome / annualDebtService","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.3333333333333333,"display":"1.3333"}]},{"id":"debt-to-income-ratio","title":"Debt To Income Ratio","description":"Calculate debt-to-income ratio (DTI) from monthly income and debt payments.","category":"finance","icon":"ratio","tags":["debt","income","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.129Z"},"rows":[{"text":"# Monthly Income and Debt","label":null,"prefix":null,"suffix":null,"section":"Monthly Income and Debt","hero":false,"slider":null,"value":null,"display":null},{"text":"$gross monthly income = 6000 // 1k..50k by 100","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":1000,"max":50000,"step":100},"value":6000,"display":"$6,000.00"},{"text":"$monthly mortgage or rent = 1800 // 0..10k by 50","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":50},"value":1800,"display":"$1,800.00"},{"text":"$monthly car payments = 400 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":400,"display":"$400.00"},{"text":"$monthly credit card minimums = 150 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":150,"display":"$150.00"},{"text":"$other monthly debt payments = 200 // 0..5k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":25},"value":200,"display":"$200.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_total_monthly_debt = monthly mortgage or rent + monthly car payments + monthly credit card minimums + other monthly debt payments","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2550,"display":"$2,550.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"debt to income ratio = (total_monthly_debt / gross monthly income) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":42.5,"display":"42.5"},{"text":"$remaining monthly income = gross monthly income - total_monthly_debt","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":3450,"display":"$3,450.00"},{"text":"health = if(debt to income ratio < 36, \"Healthy\", if(debt to income ratio < 43, \"Moderate\", \"High\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Moderate","display":"Moderate"}]},{"id":"debuff-resistance-probability","title":"Debuff Resistance Probability","description":"Calculate probability to resist a debuff.","category":"math","icon":"shield-off","tags":["gaming","combat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.129Z"},"rows":[{"text":"# Resistance Settings","label":null,"prefix":null,"suffix":null,"section":"Resistance Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"attacker debuff chance percent = 80 // %","label":null,"prefix":null,"suffix":"%","section":"Resistance Settings","hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"defender resistance percent = 30 // %","label":null,"prefix":null,"suffix":"%","section":"Resistance Settings","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"final debuff chance percent = attacker debuff chance percent * (1 - (defender resistance percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":56,"display":"56"}]},{"id":"decision-fatigue-level","title":"Decision Fatigue Level","description":"Estimate decision fatigue from daily decision count and complexity.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.130Z"},"rows":[{"text":"decisions_today = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"avg_decision_complexity = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"fatigue_index = (decisions_today * avg_decision_complexity) / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.5,"display":"2.5"}]},{"id":"deck-board-estimator","title":"Deck Board Estimator","description":"Estimate deck boards and linear feet needed from deck size and board width.","category":"everyday","icon":"home","tags":["deck","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.130Z"},"rows":[{"text":"# Deck Dimensions","label":null,"prefix":null,"suffix":null,"section":"Deck Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"deck length = 16 // feet 1..100","label":null,"prefix":null,"suffix":"feet","section":"Deck Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":16,"display":"16"},{"text":"deck width = 12 // feet 1..100","label":null,"prefix":null,"suffix":"feet","section":"Deck Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":12,"display":"12"},{"text":"# Board Dimensions","label":null,"prefix":null,"suffix":null,"section":"Board Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"board nominal width = 6 // inches","label":null,"prefix":null,"suffix":"inches","section":"Board Dimensions","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"actual board width = 5.5 // inches","label":null,"prefix":null,"suffix":"inches","section":"Board Dimensions","hidden":false,"hero":false,"slider":null,"value":5.5,"display":"5.5"},{"text":"gap width = 0.125 // inches","label":null,"prefix":null,"suffix":"inches","section":"Board Dimensions","hidden":false,"hero":false,"slider":null,"value":0.125,"display":"0.125"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_effective_board_width_inches = actual board width + gap width","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":5.625,"display":"5.625"},{"text":"_effective_board_width_feet = effective_board_width_inches / 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":0.46875,"display":"0.4688"},{"text":"# Assuming boards run along the length","label":null,"prefix":null,"suffix":null,"section":"Assuming boards run along the length","hero":false,"slider":null,"value":null,"display":null},{"text":"boards needed = roundup(deck width / effective_board_width_feet) // @hero","label":null,"prefix":null,"suffix":null,"section":"Assuming boards run along the length","hidden":false,"hero":true,"slider":null,"value":26,"display":"26"},{"text":"# Total linear feet","label":null,"prefix":null,"suffix":null,"section":"Total linear feet","hero":false,"slider":null,"value":null,"display":null},{"text":"total linear feet = boards needed * deck length","label":null,"prefix":null,"suffix":null,"section":"Total linear feet","hidden":false,"hero":false,"slider":null,"value":416,"display":"416"},{"text":"# With 10% waste","label":null,"prefix":null,"suffix":null,"section":"With 10% waste","hero":false,"slider":null,"value":null,"display":null},{"text":"total linear feet with waste = total linear feet * 1.1","label":null,"prefix":null,"suffix":null,"section":"With 10% waste","hidden":false,"hero":false,"slider":null,"value":457.6,"display":"457.6"}]},{"id":"deck-of-cards-shuffles","title":"Deck Of Cards Shuffles","description":"Show the recommended number of riffle shuffles to randomize a 52-card deck.","category":"everyday","icon":"smile","tags":["deck"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.131Z"},"rows":[{"text":"number_of_cards = 52","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":52,"display":"52"},{"text":"shuffles_for_randomness = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7,"display":"7"}]},{"id":"deck-railing-baluster-spacing","title":"Deck Railing Baluster Spacing","description":"Calculate even spacing for deck balusters to meet code.","category":"construction","icon":"fence","tags":["construction","deck","woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.131Z"},"rows":[{"text":"railing_length_inches = 96 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":96,"display":"96"},{"text":"baluster_width_inches = 1.5 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"max_spacing_inches = 4 // inches (standard code)","label":null,"prefix":null,"suffix":"inches (standard code)","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"total_balusters = ceil(railing_length_inches / (baluster_width_inches + max_spacing_inches))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"@hero actual_spacing_inches = (railing_length_inches - (total_balusters * baluster_width_inches)) / (total_balusters + 1) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":3.6315789473684212,"display":"3.6316"}]},{"id":"deep-work-uninterrupted-ratio","title":"Deep Work Uninterrupted Ratio","description":"Calculate the percentage of a work day spent in deep, uninterrupted focus.","category":"productivity","icon":"clock","tags":["work"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.131Z"},"rows":[{"text":"total_work_hours = 8 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"deep_work_hours = 3 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"@hero deep_work_ratio_percent = (deep_work_hours / total_work_hours) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":37.5,"display":"37.5"}]},{"id":"definite-integral","title":"Definite Integral — Power Rule","description":"Evaluate ∫ₐᵇ c·xⁿ dx = c·(b^(n+1) − a^(n+1))/(n+1).","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.132Z"},"rows":[{"text":"# Function: f(x) = c · x^n","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n","hero":false,"slider":null,"value":null,"display":null},{"text":"c = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"n = 2 // -10..10","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":1},"value":2,"display":"2"},{"text":"# Bounds","label":null,"prefix":null,"suffix":null,"section":"Bounds","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 0 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Bounds","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":0,"display":"0"},{"text":"b = 4 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Bounds","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":4,"display":"4"},{"text":"# Definite integral","label":null,"prefix":null,"suffix":null,"section":"Definite integral","hero":false,"slider":null,"value":null,"display":null},{"text":"integral = c * (b^(n + 1) - a^(n + 1)) / (n + 1) // @label(∫ₐᵇ f(x) dx)","label":"∫ₐᵇ f(x) dx","prefix":null,"suffix":null,"section":"Definite integral","hidden":false,"hero":true,"slider":null,"value":64,"display":"64"}]},{"id":"deforestation-rate-per-second","title":"Deforestation Rate Per Second","description":"See how many hectares of forest are lost in real-time.","category":"science","icon":"tree-pine","tags":["science","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.132Z"},"rows":[{"text":"annual_deforestation_hectares = 10000000 // hectares per year","label":null,"prefix":null,"suffix":"hectares per year","section":null,"hidden":false,"hero":false,"slider":null,"value":10000000,"display":"10,000,000"},{"text":"seconds_per_year = 31536000 // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":false,"slider":null,"value":31536000,"display":"31,536,000"},{"text":"@hero hectares_lost_per_second = annual_deforestation_hectares / seconds_per_year // hectares","label":null,"prefix":null,"suffix":"hectares","section":null,"hidden":false,"hero":true,"slider":null,"value":0.31709791983764585,"display":"0.3171"},{"text":"football_fields_per_second = hectares_lost_per_second / 0.7 // approx size of football field","label":null,"prefix":null,"suffix":"approx size of football field","section":null,"hidden":false,"hero":false,"slider":null,"value":0.4529970283394941,"display":"0.453"}]},{"id":"delta-v-orbit-change","title":"Delta V Orbit Change","description":"Calculate the delta-V for an orbit change using the Tsiolkovsky rocket equation.","category":"science","icon":"globe","tags":["orbit"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.132Z"},"rows":[{"text":"specific_impulse_seconds = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"gravity_constant = 9.806","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9.806,"display":"9.806"},{"text":"mass_initial_kilograms = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"mass_final_kilograms = 800","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"delta_v_meters_per_second = specific_impulse_seconds * gravity_constant * ln(mass_initial_kilograms / mass_final_kilograms)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":656.4436992561423,"display":"656.4437"}]},{"id":"density-altitude","title":"Density Altitude","description":"Calculate density altitude from pressure altitude, temperature, and ISA deviation.","category":"science","icon":"flask-conical","tags":["altitude","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.133Z"},"rows":[{"text":"# Altitude and Air","label":null,"prefix":null,"suffix":null,"section":"Altitude and Air","hero":false,"slider":null,"value":null,"display":null},{"text":"pressure altitude = 5000 // feet 0..30k","label":null,"prefix":null,"suffix":"feet","section":"Altitude and Air","hidden":false,"hero":false,"slider":{"min":0,"max":30000,"step":500},"value":5000,"display":"5,000"},{"text":"outside air temperature = 85 // fahrenheit -20..120","label":null,"prefix":null,"suffix":"fahrenheit","section":"Altitude and Air","hidden":false,"hero":false,"slider":{"min":-20,"max":120,"step":1},"value":85,"display":"85"},{"text":"# ISA Temperature at Pressure Altitude","label":null,"prefix":null,"suffix":null,"section":"ISA Temperature at Pressure Altitude","hero":false,"slider":null,"value":null,"display":null},{"text":"isa temperature celsius = 15 - (pressure altitude * 0.00198)","label":null,"prefix":null,"suffix":null,"section":"ISA Temperature at Pressure Altitude","hidden":false,"hero":false,"slider":null,"value":5.1,"display":"5.1"},{"text":"temp celsius = (outside air temperature - 32) * 5 / 9","label":null,"prefix":null,"suffix":null,"section":"ISA Temperature at Pressure Altitude","hidden":false,"hero":false,"slider":null,"value":29.444444444444443,"display":"29.4444"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"density altitude = pressure altitude + (120 * (temp celsius - isa temperature celsius)) // feet @hero","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":true,"slider":null,"value":7921.333333333335,"display":"7,921.3333"},{"text":"# Performance Impact","label":null,"prefix":null,"suffix":null,"section":"Performance Impact","hero":false,"slider":null,"value":null,"display":null},{"text":"isa deviation = temp celsius - isa temperature celsius","label":null,"prefix":null,"suffix":null,"section":"Performance Impact","hidden":false,"hero":false,"slider":null,"value":24.344444444444445,"display":"24.3444"},{"text":"takeoff distance factor = 1 + (density altitude / 1000) * 0.1","label":null,"prefix":null,"suffix":null,"section":"Performance Impact","hidden":false,"hero":false,"slider":null,"value":1.7921333333333336,"display":"1.7921"},{"text":"engine power loss percent = (density altitude / 1000) * 3 // %","label":null,"prefix":null,"suffix":"%","section":"Performance Impact","hidden":false,"hero":false,"slider":null,"value":23.764000000000003,"display":"23.764"},{"text":"density ratio = (518.67 / (459.67 + outside air temperature)) * (1 - 0.0000068756 * pressure altitude)^5.2559","label":null,"prefix":null,"suffix":null,"section":"Performance Impact","hidden":false,"hero":false,"slider":null,"value":0.7923290569713252,"display":"0.7923"}]},{"id":"density","title":"Density","description":"Convert mass and volume into density and per-teaspoon weight.","category":"science","icon":"atom","tags":["mass","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.133Z"},"rows":[{"text":"# Sample","label":null,"prefix":null,"suffix":null,"section":"Sample","hero":false,"slider":null,"value":null,"display":null},{"text":"mass kg = 6000000000000 // kg 0.001..1e20","label":null,"prefix":null,"suffix":"kg","section":"Sample","hidden":false,"hero":false,"slider":{"min":0.001,"max":100000000000000000000,"step":1000000000000000000},"value":6000000000000,"display":"6,000,000,000,000"},{"text":"volume ml = 5 // mL 0.001..100k","label":null,"prefix":null,"suffix":"mL","section":"Sample","hidden":false,"hero":false,"slider":{"min":0.001,"max":100000,"step":1000},"value":5,"display":"5"},{"text":"# Density","label":null,"prefix":null,"suffix":null,"section":"Density","hero":false,"slider":null,"value":null,"display":null},{"text":"_volume_m3 = volume ml / 1000000 // m³","label":null,"prefix":null,"suffix":"m³","section":"Density","hidden":true,"hero":false,"slider":null,"value":0.000005,"display":"0.000005"},{"text":"density kg per m3 = mass kg / volume_m3 // kg/m³ @label(Density (kg/m³))","label":"Density (kg/m³)","prefix":null,"suffix":"kg/m³","section":"Density","hidden":false,"hero":false,"slider":null,"value":1200000000000000000,"display":"1.2e18"},{"text":"density g per cc = density kg per m3 / 1000 // g/cm³ @label(Density (g/cm³))","label":"Density (g/cm³)","prefix":null,"suffix":"g/cm³","section":"Density","hidden":false,"hero":false,"slider":null,"value":1200000000000000,"display":"1,200,000,000,000,000"},{"text":"# Mass per Teaspoon (5 mL)","label":null,"prefix":null,"suffix":null,"section":"Mass per Teaspoon (5 mL)","hero":false,"slider":null,"value":null,"display":null},{"text":"mass per tsp kg = density kg per m3 * 5 / 1000000 // @label(Mass per teaspoon)","label":"Mass per teaspoon","prefix":null,"suffix":null,"section":"Mass per Teaspoon (5 mL)","hidden":false,"hero":false,"slider":null,"value":6000000000000,"display":"6,000,000,000,000"},{"text":"mass per tsp tons = mass per tsp kg / 1000 // tons @hero @label(Mass per teaspoon (metric tons))","label":"Mass per teaspoon (metric tons)","prefix":null,"suffix":"tons","section":"Mass per Teaspoon (5 mL)","hidden":false,"hero":true,"slider":null,"value":6000000000,"display":"6,000,000,000"},{"text":"# Reference","label":null,"prefix":null,"suffix":null,"section":"Reference","hero":false,"slider":null,"value":null,"display":null},{"text":"_water_density = 1000 // kg/m³","label":null,"prefix":null,"suffix":"kg/m³","section":"Reference","hidden":true,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"times denser than water = round(density kg per m3 / water_density)","label":null,"prefix":null,"suffix":null,"section":"Reference","hidden":false,"hero":false,"slider":null,"value":1200000000000000,"display":"1,200,000,000,000,000"}]},{"id":"depth-of-field","title":"Depth of Field","description":"Calculate near, far, and total depth of field for a given lens, aperture, and distance.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.133Z"},"rows":[{"text":"# Camera Specs","label":null,"prefix":null,"suffix":null,"section":"Camera Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"focal length = 50 // mm 10..600","label":null,"prefix":null,"suffix":"mm","section":"Camera Specs","hidden":false,"hero":false,"slider":{"min":10,"max":600,"step":1},"value":50,"display":"50"},{"text":"aperture = 2.8 // f-number 1.0..32","label":null,"prefix":null,"suffix":"f-number","section":"Camera Specs","hidden":false,"hero":false,"slider":{"min":1,"max":32,"step":1},"value":2.8,"display":"2.8"},{"text":"subject distance = 10 // feet 1..500","label":null,"prefix":null,"suffix":"feet","section":"Camera Specs","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":10,"display":"10"},{"text":"sensor crop factor = 1.0 // 1.0 for Full Frame, 1.5 for APS-C","label":null,"prefix":null,"suffix":"1.0 for Full Frame, 1.5 for APS-C","section":"Camera Specs","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Constants","label":null,"prefix":null,"suffix":null,"section":"Constants","hero":false,"slider":null,"value":null,"display":null},{"text":"coc = 0.03 / sensor crop factor // mm (Circle of Confusion)","label":null,"prefix":null,"suffix":"mm (Circle of Confusion)","section":"Constants","hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"distance mm = subject distance * 304.8","label":null,"prefix":null,"suffix":null,"section":"Constants","hidden":false,"hero":false,"slider":null,"value":3048,"display":"3,048"},{"text":"# Hyperfocal Distance","label":null,"prefix":null,"suffix":null,"section":"Hyperfocal Distance","hero":false,"slider":null,"value":null,"display":null},{"text":"hyperfocal mm = (focal length^2 / (aperture * coc)) + focal length","label":null,"prefix":null,"suffix":null,"section":"Hyperfocal Distance","hidden":false,"hero":false,"slider":null,"value":29811.904761904763,"display":"29,811.9048"},{"text":"hyperfocal feet = hyperfocal mm / 304.8","label":null,"prefix":null,"suffix":null,"section":"Hyperfocal Distance","hidden":false,"hero":false,"slider":null,"value":97.80808648918885,"display":"97.8081"},{"text":"# DoF Calculation","label":null,"prefix":null,"suffix":null,"section":"DoF Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"near point mm = (hyperfocal mm * distance mm) / (hyperfocal mm + (distance mm - focal length))","label":null,"prefix":null,"suffix":null,"section":"DoF Calculation","hidden":false,"hero":false,"slider":null,"value":2769.4894689176317,"display":"2,769.4895"},{"text":"far point mm = (hyperfocal mm * distance mm) / (hyperfocal mm - (distance mm - focal length))","label":null,"prefix":null,"suffix":null,"section":"DoF Calculation","hidden":false,"hero":false,"slider":null,"value":3388.789753716977,"display":"3,388.7898"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"total depth of field = (far point mm - near point mm) / 304.8 // feet @hero","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":true,"slider":null,"value":2.0318250813626806,"display":"2.0318"},{"text":"near limit = near point mm / 304.8 // feet","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":false,"slider":null,"value":9.086251538443673,"display":"9.0863"},{"text":"far limit = far point mm / 304.8 // feet","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":false,"slider":null,"value":11.118076619806356,"display":"11.1181"},{"text":"is infinite = distance mm >= hyperfocal mm","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"dof display = if(is infinite, 9999, total depth of field)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":2.0318250813626806,"display":"2.0318"}]},{"id":"derivative-chain-rule","title":"Derivative — Chain Rule","description":"Evaluate (f∘g)'(x) = f'(g(x)) · g'(x).","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.133Z"},"rows":[{"text":"# Values","label":null,"prefix":null,"suffix":null,"section":"Values","hero":false,"slider":null,"value":null,"display":null},{"text":"fprime_at_g = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"gprime_at_x = 7 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":7,"display":"7"},{"text":"# Chain rule","label":null,"prefix":null,"suffix":null,"section":"Chain rule","hero":false,"slider":null,"value":null,"display":null},{"text":"derivative = fprime_at_g * gprime_at_x // @label((f∘g)'(x))","label":"(f∘g)'(x)","prefix":null,"suffix":null,"section":"Chain rule","hidden":false,"hero":true,"slider":null,"value":28,"display":"28"}]},{"id":"derivative-power-rule","title":"Derivative — Power Rule","description":"Evaluate d/dx [a·xⁿ] = a·n·x^(n−1) at a given point.","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.134Z"},"rows":[{"text":"# Function: f(x) = a · x^n","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"n = 4 // -10..10","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":1},"value":4,"display":"4"},{"text":"x = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"# Original and derivative at x","label":null,"prefix":null,"suffix":null,"section":"Original and derivative at x","hero":false,"slider":null,"value":null,"display":null},{"text":"f_x = a * x^n // @label(f(x))","label":"f(x)","prefix":null,"suffix":null,"section":"Original and derivative at x","hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"fprime_x = a * n * x^(n - 1) // @label(f'(x))","label":"f'(x)","prefix":null,"suffix":null,"section":"Original and derivative at x","hidden":false,"hero":true,"slider":null,"value":96,"display":"96"}]},{"id":"derivative-product-rule","title":"Derivative — Product Rule","description":"Evaluate (f·g)' = f'·g + f·g' at a given x using user-supplied f, g, f', g'.","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.134Z"},"rows":[{"text":"# Values at x","label":null,"prefix":null,"suffix":null,"section":"Values at x","hero":false,"slider":null,"value":null,"display":null},{"text":"f = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values at x","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"g = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values at x","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"fprime = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values at x","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"gprime = 6 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values at x","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":6,"display":"6"},{"text":"# Product rule","label":null,"prefix":null,"suffix":null,"section":"Product rule","hero":false,"slider":null,"value":null,"display":null},{"text":"derivative = fprime * g + f * gprime // @label((fg)')","label":"(fg)","prefix":null,"suffix":null,"section":"Product rule","hidden":false,"hero":true,"slider":null,"value":38,"display":"38"}]},{"id":"differential-gear-ratio-impact","title":"Differential Gear Ratio Impact","description":"Calculate RPM change after differential gear change.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.134Z"},"rows":[{"text":"# Gearing","label":null,"prefix":null,"suffix":null,"section":"Gearing","hero":false,"slider":null,"value":null,"display":null},{"text":"old gear ratio = 3.42","label":null,"prefix":null,"suffix":null,"section":"Gearing","hidden":false,"hero":false,"slider":null,"value":3.42,"display":"3.42"},{"text":"new gear ratio = 4.10","label":null,"prefix":null,"suffix":null,"section":"Gearing","hidden":false,"hero":false,"slider":null,"value":4.1,"display":"4.1"},{"text":"old rpm = 2500","label":null,"prefix":null,"suffix":null,"section":"Gearing","hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"new rpm = old rpm * (new gear ratio / old gear ratio)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":2997.0760233918127,"display":"2,997.076"}]},{"id":"disability-insurance-benefit-gap","title":"Disability Insurance Benefit Gap","description":"Calculate the income gap between current pay and disability insurance benefits.","category":"other","icon":"calculator","tags":["insurance","benefit","gap"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.134Z"},"rows":[{"text":"current_monthly_income = 6000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"insurance_benefit_percentage = 0.60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"monthly_benefit = current_monthly_income * insurance_benefit_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3600,"display":"3,600"},{"text":"income_gap = current_monthly_income - monthly_benefit","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2400,"display":"2,400"}]},{"id":"discount-tax","title":"Discount & Tax","description":"See the final price after discount and sales tax — with effective savings.","category":"everyday","icon":"tag","tags":["tax","price"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.135Z"},"rows":[{"text":"# Original Price","label":null,"prefix":null,"suffix":null,"section":"Original Price","hero":false,"slider":null,"value":null,"display":null},{"text":"$original price = 89.99 // 1..10k","label":null,"prefix":"$","suffix":null,"section":"Original Price","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":89.99,"display":"$89.99"},{"text":"discount = 30 // % 0..90","label":null,"prefix":null,"suffix":"%","section":"Original Price","hidden":false,"hero":false,"slider":{"min":0,"max":90,"step":1},"value":30,"display":"30"},{"text":"# After Discount","label":null,"prefix":null,"suffix":null,"section":"After Discount","hero":false,"slider":null,"value":null,"display":null},{"text":"$you save = original_price * discount / 100","label":null,"prefix":"$","suffix":null,"section":"After Discount","hidden":false,"hero":false,"slider":null,"value":26.997,"display":"$27.00"},{"text":"$sale price = original_price - you_save // @hero","label":null,"prefix":"$","suffix":null,"section":"After Discount","hidden":false,"hero":true,"slider":null,"value":62.993,"display":"$62.99"},{"text":"# After Sales Tax","label":null,"prefix":null,"suffix":null,"section":"After Sales Tax","hero":false,"slider":null,"value":null,"display":null},{"text":"sales tax rate = 8.25 // % 0..15 by 0.25","label":null,"prefix":null,"suffix":"%","section":"After Sales Tax","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.25},"value":8.25,"display":"8.25"},{"text":"$tax amount = sale_price * sales_tax_rate / 100","label":null,"prefix":"$","suffix":null,"section":"After Sales Tax","hidden":false,"hero":false,"slider":null,"value":5.1969225,"display":"$5.20"},{"text":"$final price with tax = sale_price + tax_amount","label":null,"prefix":"$","suffix":null,"section":"After Sales Tax","hidden":false,"hero":false,"slider":null,"value":68.1899225,"display":"$68.19"},{"text":"# Effective Discount","label":null,"prefix":null,"suffix":null,"section":"Effective Discount","hero":false,"slider":null,"value":null,"display":null},{"text":"pct of original you pay = round(final_price_with_tax / original_price * 100, 1) // %","label":null,"prefix":null,"suffix":"%","section":"Effective Discount","hidden":false,"hero":false,"slider":null,"value":75.8,"display":"75.8"},{"text":"$true savings = original_price - final_price_with_tax","label":null,"prefix":"$","suffix":null,"section":"Effective Discount","hidden":false,"hero":false,"slider":null,"value":21.8000775,"display":"$21.80"},{"text":"effective discount = round((true_savings / original_price) * 100, 1) // %","label":null,"prefix":null,"suffix":"%","section":"Effective Discount","hidden":false,"hero":false,"slider":null,"value":24.2,"display":"24.2"}]},{"id":"discriminant","title":"Discriminant","description":"Compute the discriminant b² − 4ac of a quadratic.","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.135Z"},"rows":[{"text":"# Coefficients","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 1 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":1,"display":"1"},{"text":"b = -5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":-5,"display":"-5"},{"text":"c = 6 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":6,"display":"6"},{"text":"# Discriminant","label":null,"prefix":null,"suffix":null,"section":"Discriminant","hero":false,"slider":null,"value":null,"display":null},{"text":"discriminant = b^2 - 4 * a * c","label":null,"prefix":null,"suffix":null,"section":"Discriminant","hidden":false,"hero":true,"slider":null,"value":1,"display":"1"},{"text":"# >0 → two real roots; =0 → one real root; <0 → two complex roots","label":null,"prefix":null,"suffix":null,"section":">0 → two real roots; =0 → one real root; <0 → two complex roots","hero":false,"slider":null,"value":null,"display":null}]},{"id":"disk-raid-10-capacity","title":"Disk Raid 10 Capacity","description":"Calculate usable capacity for a RAID 10 array from drive count and capacity.","category":"other","icon":"calculator","tags":["disk","raid"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.135Z"},"rows":[{"text":"# RAID 10 Parameters","label":null,"prefix":null,"suffix":null,"section":"RAID 10 Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"number of drives = 4 // 4..24 (must be even)","label":null,"prefix":null,"suffix":"4..24 (must be even)","section":"RAID 10 Parameters","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"drive capacity terabytes = 4 // TB","label":null,"prefix":null,"suffix":"TB","section":"RAID 10 Parameters","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"# RAID 10 mirrors then stripes, so half capacity is usable","label":null,"prefix":null,"suffix":null,"section":"RAID 10 mirrors then stripes, so half capacity is usable","hero":false,"slider":null,"value":null,"display":null},{"text":"usable capacity terabytes = (number of drives / 2) * drive capacity terabytes // @hero","label":null,"prefix":null,"suffix":null,"section":"RAID 10 mirrors then stripes, so half capacity is usable","hidden":false,"hero":true,"slider":null,"value":8,"display":"8"},{"text":"mirrored overhead terabytes = usable capacity terabytes // @hero","label":null,"prefix":null,"suffix":null,"section":"RAID 10 mirrors then stripes, so half capacity is usable","hidden":false,"hero":true,"slider":null,"value":8,"display":"8"}]},{"id":"disk-raid-5-capacity","title":"Disk Raid 5 Capacity","description":"Calculate usable capacity for a RAID 5 array after parity overhead.","category":"other","icon":"calculator","tags":["disk","raid"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.136Z"},"rows":[{"text":"# RAID 5 Parameters","label":null,"prefix":null,"suffix":null,"section":"RAID 5 Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"number of drives = 4 // 3..24","label":null,"prefix":null,"suffix":null,"section":"RAID 5 Parameters","hidden":false,"hero":false,"slider":{"min":3,"max":24,"step":1},"value":4,"display":"4"},{"text":"drive capacity terabytes = 8 // TB","label":null,"prefix":null,"suffix":"TB","section":"RAID 5 Parameters","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"# RAID 5 uses one drive worth of space for parity","label":null,"prefix":null,"suffix":null,"section":"RAID 5 uses one drive worth of space for parity","hero":false,"slider":null,"value":null,"display":null},{"text":"usable capacity terabytes = (number of drives - 1) * drive capacity terabytes // @hero","label":null,"prefix":null,"suffix":null,"section":"RAID 5 uses one drive worth of space for parity","hidden":false,"hero":true,"slider":null,"value":24,"display":"24"},{"text":"parity overhead terabytes = drive capacity terabytes // @hero","label":null,"prefix":null,"suffix":null,"section":"RAID 5 uses one drive worth of space for parity","hidden":false,"hero":true,"slider":null,"value":8,"display":"8"}]},{"id":"disk-raid-6-capacity","title":"Disk Raid 6 Capacity","description":"Calculate usable capacity for a RAID 6 array after double parity overhead.","category":"other","icon":"calculator","tags":["disk","raid"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.136Z"},"rows":[{"text":"# RAID 6 Parameters","label":null,"prefix":null,"suffix":null,"section":"RAID 6 Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"number of drives = 6 // 4..24","label":null,"prefix":null,"suffix":null,"section":"RAID 6 Parameters","hidden":false,"hero":false,"slider":{"min":4,"max":24,"step":1},"value":6,"display":"6"},{"text":"drive capacity terabytes = 10 // TB","label":null,"prefix":null,"suffix":"TB","section":"RAID 6 Parameters","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# RAID 6 uses two drives worth of space for parity","label":null,"prefix":null,"suffix":null,"section":"RAID 6 uses two drives worth of space for parity","hero":false,"slider":null,"value":null,"display":null},{"text":"usable capacity terabytes = (number of drives - 2) * drive capacity terabytes // @hero","label":null,"prefix":null,"suffix":null,"section":"RAID 6 uses two drives worth of space for parity","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"},{"text":"parity overhead terabytes = 2 * drive capacity terabytes // @hero","label":null,"prefix":null,"suffix":null,"section":"RAID 6 uses two drives worth of space for parity","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"distance-converter","title":"Distance Converter","description":"Convert miles to kilometers, feet, meters, yards, and nautical miles.","category":"conversion","icon":"ruler","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.136Z"},"rows":[{"text":"# Input Distance","label":null,"prefix":null,"suffix":null,"section":"Input Distance","hero":false,"slider":null,"value":null,"display":null},{"text":"miles = 26.2 // mi 0.1..1k","label":null,"prefix":null,"suffix":"mi","section":"Input Distance","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":26.2,"display":"26.2"},{"text":"# Metric","label":null,"prefix":null,"suffix":null,"section":"Metric","hero":false,"slider":null,"value":null,"display":null},{"text":"kilometers = miles * 1.60934 // km @hero","label":null,"prefix":null,"suffix":"km","section":"Metric","hidden":false,"hero":true,"slider":null,"value":42.164708,"display":"42.1647"},{"text":"meters = kilometers * 1000 // m","label":null,"prefix":null,"suffix":"m","section":"Metric","hidden":false,"hero":false,"slider":null,"value":42164.708,"display":"42,164.708"},{"text":"centimeters = meters * 100 // cm","label":null,"prefix":null,"suffix":"cm","section":"Metric","hidden":false,"hero":false,"slider":null,"value":4216470.8,"display":"4,216,470.8"},{"text":"# Imperial","label":null,"prefix":null,"suffix":null,"section":"Imperial","hero":false,"slider":null,"value":null,"display":null},{"text":"yards = miles * 1760 // yd","label":null,"prefix":null,"suffix":"yd","section":"Imperial","hidden":false,"hero":false,"slider":null,"value":46112,"display":"46,112"},{"text":"feet = miles * 5280 // ft","label":null,"prefix":null,"suffix":"ft","section":"Imperial","hidden":false,"hero":false,"slider":null,"value":138336,"display":"138,336"},{"text":"inches = feet * 12 // in","label":null,"prefix":null,"suffix":"in","section":"Imperial","hidden":false,"hero":false,"slider":null,"value":1660032,"display":"1,660,032"},{"text":"# Other","label":null,"prefix":null,"suffix":null,"section":"Other","hero":false,"slider":null,"value":null,"display":null},{"text":"nautical miles = miles * 0.868976 // nmi","label":null,"prefix":null,"suffix":"nmi","section":"Other","hidden":false,"hero":false,"slider":null,"value":22.7671712,"display":"22.7672"},{"text":"light seconds = kilometers / 299792.458 // ls","label":null,"prefix":null,"suffix":"ls","section":"Other","hidden":false,"hero":false,"slider":null,"value":0.00014064632673314284,"display":"0.0001406"}]},{"id":"distance-formula","title":"Distance Formula","description":"Find the distance between two points: d = √((x₂-x₁)² + (y₂-y₁)²).","category":"formulas","icon":"ruler","tags":["coordinate-geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.136Z"},"rows":[{"text":"# Two points","label":null,"prefix":null,"suffix":null,"section":"Two points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"y1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"x2 = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"y2 = 6 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":6,"display":"6"},{"text":"# Distance","label":null,"prefix":null,"suffix":null,"section":"Distance","hero":false,"slider":null,"value":null,"display":null},{"text":"distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)","label":null,"prefix":null,"suffix":null,"section":"Distance","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"distance-time","title":"Distance, Speed, Time","description":"Travel time and distance for any speed, from walking pace to light-speed.","category":"science","icon":"gauge","tags":["physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.137Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"distance km = 149600000 // km 0.001..1e10 by 1","label":null,"prefix":null,"suffix":"km","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":10000000000,"step":1},"value":149600000,"display":"149,600,000"},{"text":"speed km per s = 299792.458 // km/s 0.0001..299793","label":null,"prefix":null,"suffix":"km/s","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.0001,"max":299793,"step":5000},"value":299792.458,"display":"299,792.458"},{"text":"# Time","label":null,"prefix":null,"suffix":null,"section":"Time","hero":false,"slider":null,"value":null,"display":null},{"text":"time seconds = distance km / speed km per s // s","label":null,"prefix":null,"suffix":"s","section":"Time","hidden":false,"hero":false,"slider":null,"value":499.01188641643546,"display":"499.0119"},{"text":"time minutes = time seconds / 60 // min @hero","label":null,"prefix":null,"suffix":"min","section":"Time","hidden":false,"hero":true,"slider":null,"value":8.316864773607257,"display":"8.3169"},{"text":"time hours = time minutes / 60 // hr","label":null,"prefix":null,"suffix":"hr","section":"Time","hidden":false,"hero":false,"slider":null,"value":0.13861441289345428,"display":"0.1386"},{"text":"# Inverse: distance at this speed in a given duration","label":null,"prefix":null,"suffix":null,"section":"Inverse: distance at this speed in a given duration","hero":false,"slider":null,"value":null,"display":null},{"text":"duration sec = 1 // s 0..3.6k","label":null,"prefix":null,"suffix":"s","section":"Inverse: distance at this speed in a given duration","hidden":false,"hero":false,"slider":{"min":0,"max":3600,"step":50},"value":1,"display":"1"},{"text":"distance covered km = speed km per s * duration sec // km","label":null,"prefix":null,"suffix":"km","section":"Inverse: distance at this speed in a given duration","hidden":false,"hero":false,"slider":null,"value":299792.458,"display":"299,792.458"},{"text":"distance covered m = distance covered km * 1000 // m","label":null,"prefix":null,"suffix":"m","section":"Inverse: distance at this speed in a given duration","hidden":false,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"}]},{"id":"distance-to-horizon-calculator","title":"Distance To Horizon Calculator","description":"Calculate the distance to the horizon in kilometers from observer eye height.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.137Z"},"rows":[{"text":"eye_height_meters = 1.7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.7,"display":"1.7"},{"text":"earth_radius_km = 6371","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371,"display":"6,371"},{"text":"distance_km = (2 * earth_radius_km * (eye_height_meters / 1000) + (eye_height_meters / 1000) ** 2) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.654181226596146,"display":"4.6542"}]},{"id":"dive-decompression-penalty","title":"Dive Decompression Penalty","description":"Check whether a scuba dive exceeds the no-decompression limit at a given depth.","category":"other","icon":"calculator","tags":["penalty"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.137Z"},"rows":[{"text":"depth_feet = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"bottom_time_minutes = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"no_deco_limit_minutes = 480 / (depth_feet - 30) // Very rough approximation","label":null,"prefix":null,"suffix":"Very rough approximation","section":null,"hidden":false,"hero":false,"slider":null,"value":9.6,"display":"9.6"},{"text":"@hero deco_penalty_status = bottom_time_minutes > no_deco_limit_minutes ? 1 : 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"dividend-payout-ratio","title":"Dividend Payout Ratio","description":"Calculate dividend payout ratio from dividends per share and earnings per share.","category":"finance","icon":"ratio","tags":["dividend","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.137Z"},"rows":[{"text":"dividends_per_share = 2.50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"earnings_per_share = 5.00","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"payout_ratio = dividends_per_share / earnings_per_share","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.5,"display":"0.5"}]},{"id":"dividend-yield","title":"Dividend Yield","description":"Calculate dividend yield from annual dividends per share and stock price.","category":"finance","icon":"dollar-sign","tags":["dividend","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.137Z"},"rows":[{"text":"# Dividend Data","label":null,"prefix":null,"suffix":null,"section":"Dividend Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual dividends per share = 4.50 // 0..100","label":null,"prefix":"$","suffix":null,"section":"Dividend Data","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":4.5,"display":"$4.50"},{"text":"$stock price = 120 // 1..5k","label":null,"prefix":"$","suffix":null,"section":"Dividend Data","hidden":false,"hero":false,"slider":{"min":1,"max":5000,"step":50},"value":120,"display":"$120.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"dividend yield = (annual dividends per share / stock price) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":3.75,"display":"3.75"},{"text":"$quarterly dividend = annual dividends per share / 4","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1.125,"display":"$1.13"},{"text":"$investment needed for 1000 monthly income = (1000 * 12) / (dividend yield / 100)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":320000,"display":"$320,000.00"}]},{"id":"dock-to-stock-time","title":"Dock-to-Stock Time","description":"Track the time from shipment arrival to inventory availability.","category":"business","icon":"clock","tags":["stock"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.138Z"},"rows":[{"text":"receivingTime = 30 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"inspectionTime = 15 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"putAwayTime = 20 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"totalDockToStockTime = receivingTime + inspectionTime + putAwayTime","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":65,"display":"65"}]},{"id":"document-review-productivity","title":"Doc Review Productivity","description":"Measure documents reviewed per hour in legal discovery.","category":"other","icon":"file-text","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.138Z"},"rows":[{"text":"totalDocumentsReviewed = 5000 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"totalHoursSpent = 100 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"reviewRate = totalDocumentsReviewed / totalHoursSpent","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"dog-bite-force-comparison","title":"Dog Bite Force Comparison","description":"Estimate dog bite force in PSI based on weight and breed type.","category":"science","icon":"dog","tags":["dog","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.138Z"},"rows":[{"text":"dog_weight_pounds = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"breed_factor = 1.0 // 1.0 for average, 1.5 for mastiff type","label":null,"prefix":null,"suffix":"1.0 for average, 1.5 for mastiff type","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero estimated_bite_force_psi = (dog_weight_pounds^0.7) * 20 * breed_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":309.24949471099166,"display":"309.2495"}]},{"id":"dog-years-to-human-years-detailed","title":"Dog Years To Human Years Detailed","description":"Convert a dog's age in years to its equivalent human age.","category":"everyday","icon":"dog","tags":["dog","human","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.138Z"},"rows":[{"text":"actual_dog_age_years = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"first_year_human_equivalent = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"second_year_human_equivalent = 9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"additional_years_multiplier = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"equivalent_human_age = first_year_human_equivalent + second_year_human_equivalent + (actual_dog_age_years - 2) * additional_years_multiplier","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":39,"display":"39"}]},{"id":"domain-name-registration-value","title":"Domain Name Registration Value","description":"Calculate the total cost of registering a domain over multiple years with renewal increases.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.138Z"},"rows":[{"text":"annual_registration_fee = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"number_of_years = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"renewal_price_increase_percentage = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total_registration_cost = annual_registration_fee * ((1 + (renewal_price_increase_percentage / 100)) ** number_of_years - 1) / (renewal_price_increase_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":188.66838803323267,"display":"188.6684"}]},{"id":"door-swing-clearance-area","title":"Door Swing Clearance Area","description":"Calculate the floor space swept by a swinging door.","category":"design","icon":"door-open","tags":["design","layout"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.138Z"},"rows":[{"text":"door_width_inches = 32 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"swing_angle_degrees = 90 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"@hero clearance_area_square_inches = (3.14159 * (door_width_inches^2)) * (swing_angle_degrees / 360) // sq inches","label":null,"prefix":null,"suffix":"sq inches","section":null,"hidden":false,"hero":true,"slider":null,"value":804.24704,"display":"804.247"},{"text":"clearance_area_square_feet = clearance_area_square_inches / 144 // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":null,"hidden":false,"hero":false,"slider":null,"value":5.585048888888889,"display":"5.585"}]},{"id":"doppler-effect-source-moving","title":"Doppler Effect Source Moving","description":"Calculate observed frequency when a sound source moves toward an observer.","category":"education","icon":"book-open","tags":["effect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.139Z"},"rows":[{"text":"source_frequency = 440 // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":440,"display":"440"},{"text":"speed_of_sound = 343 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":343,"display":"343"},{"text":"source_velocity = 30 // m/s (towards observer)","label":null,"prefix":null,"suffix":"m/s (towards observer)","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero observed_frequency = source_frequency * (speed_of_sound / (speed_of_sound - source_velocity)) // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":true,"slider":null,"value":482.1725239616613,"display":"482.1725"}]},{"id":"doppler-shift-frequency","title":"Doppler Shift Frequency","description":"Calculate observed frequency of a moving sound source.","category":"science","icon":"wind","tags":["science","physics","acoustics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.139Z"},"rows":[{"text":"source_frequency_hz = 1000 // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"speed_of_sound_m_per_s = 343 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":343,"display":"343"},{"text":"source_velocity_m_per_s = 30 // m/s (moving toward observer)","label":null,"prefix":null,"suffix":"m/s (moving toward observer)","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero observed_frequency_hz = source_frequency_hz * (speed_of_sound_m_per_s / (speed_of_sound_m_per_s - source_velocity_m_per_s)) // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":true,"slider":null,"value":1095.846645367412,"display":"1,095.8466"},{"text":"frequency_shift = observed_frequency_hz - source_frequency_hz // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":95.846645367412,"display":"95.8466"}]},{"id":"download-speed-time-remaining","title":"Download Speed Time Remaining","description":"Estimate download time remaining in minutes from file size and connection speed.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.139Z"},"rows":[{"text":"file_size_gigabytes = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"current_speed_mbps = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"file_size_bits = file_size_gigabytes * 8 * 1024","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":81920,"display":"81,920"},{"text":"time_seconds = file_size_bits / current_speed_mbps","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1638.4,"display":"1,638.4"},{"text":"time_minutes = time_seconds / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":27.30666666666667,"display":"27.3067"}]},{"id":"dpia-risk-score","title":"DPIA Risk Score","description":"Estimate the risk level for a Data Privacy Impact Assessment.","category":"other","icon":"lock","tags":["risk"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.139Z"},"rows":[{"text":"dataSensitivityScore = 8 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"dataVolumeScore = 5 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"processingRiskScore = 7 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"totalRiskScore = (dataSensitivityScore + dataVolumeScore + processingRiskScore) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6.666666666666667,"display":"6.6667"}]},{"id":"drag-force-advanced","title":"Drag Force Advanced","description":"Calculate aerodynamic drag force from velocity, drag coefficient, and frontal area.","category":"science","icon":"flask-conical","tags":["drag","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.140Z"},"rows":[{"text":"# Fluid Dynamics","label":null,"prefix":null,"suffix":null,"section":"Fluid Dynamics","hero":false,"slider":null,"value":null,"display":null},{"text":"velocity = 60 // mph 1..200","label":null,"prefix":null,"suffix":"mph","section":"Fluid Dynamics","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":60,"display":"60"},{"text":"drag coefficient = 0.30 // 0.1..1.5","label":null,"prefix":null,"suffix":null,"section":"Fluid Dynamics","hidden":false,"hero":false,"slider":{"min":0.1,"max":1.5,"step":0.02},"value":0.3,"display":"0.3"},{"text":"frontal area = 22 // sq ft 5..50","label":null,"prefix":null,"suffix":"sq ft","section":"Fluid Dynamics","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":1},"value":22,"display":"22"},{"text":"air density = 1.225 // kg/m3","label":null,"prefix":null,"suffix":"kg/m3","section":"Fluid Dynamics","hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"velocity mps = velocity * 0.44704","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":26.8224,"display":"26.8224"},{"text":"area m2 = frontal area * 0.092903","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":2.043866,"display":"2.0439"},{"text":"# Formula: Fd = 0.5 * rho * v^2 * Cd * A","label":null,"prefix":null,"suffix":null,"section":"Formula: Fd = 0.5 * rho * v^2 * Cd * A","hero":false,"slider":null,"value":null,"display":null},{"text":"drag force newtons = 0.5 * air density * (velocity mps^2) * drag coefficient * area m2","label":null,"prefix":null,"suffix":null,"section":"Formula: Fd = 0.5 * rho * v^2 * Cd * A","hidden":false,"hero":false,"slider":null,"value":270.19358678841655,"display":"270.1936"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"drag force = drag force newtons * 0.224809 // lbs @hero","label":null,"prefix":null,"suffix":"lbs","section":"Result","hidden":false,"hero":true,"slider":null,"value":60.741950052317144,"display":"60.742"},{"text":"# Energy Loss","label":null,"prefix":null,"suffix":null,"section":"Energy Loss","hero":false,"slider":null,"value":null,"display":null},{"text":"power required hp = (drag force * velocity * 5280 / 3600) / 550 // hp","label":null,"prefix":null,"suffix":"hp","section":"Energy Loss","hidden":false,"hero":false,"slider":null,"value":9.718712008370742,"display":"9.7187"},{"text":"fuel consumption impact = (velocity / 60)^3","label":null,"prefix":null,"suffix":null,"section":"Energy Loss","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"rolling resistance estimate = 0.015 * 3000 // lbs","label":null,"prefix":null,"suffix":"lbs","section":"Energy Loss","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"total force = drag force + rolling resistance estimate","label":null,"prefix":null,"suffix":null,"section":"Energy Loss","hidden":false,"hero":false,"slider":null,"value":105.74195005231715,"display":"105.742"}]},{"id":"drink-dilution","title":"Drink Dilution","description":"Calculate final strength when mixing concentrates with water or mixer.","category":"cooking","icon":"wine","tags":["abv"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.140Z"},"rows":[{"text":"# Concentrate","label":null,"prefix":null,"suffix":null,"section":"Concentrate","hero":false,"slider":null,"value":null,"display":null},{"text":"concentrate strength = 40 // % 1..100","label":null,"prefix":null,"suffix":"%","section":"Concentrate","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":40,"display":"40"},{"text":"concentrate volume = 2 // oz 0.25..32 by 0.25","label":null,"prefix":null,"suffix":"oz","section":"Concentrate","hidden":false,"hero":false,"slider":{"min":0.25,"max":32,"step":0.25},"value":2,"display":"2"},{"text":"# Mixer","label":null,"prefix":null,"suffix":null,"section":"Mixer","hero":false,"slider":null,"value":null,"display":null},{"text":"mixer strength = 0 // % 0..50","label":null,"prefix":null,"suffix":"%","section":"Mixer","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":0,"display":"0"},{"text":"mixer volume = 6 // oz 0..64 by 0.5","label":null,"prefix":null,"suffix":"oz","section":"Mixer","hidden":false,"hero":false,"slider":{"min":0,"max":64,"step":0.5},"value":6,"display":"6"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"total volume = concentrate_volume + mixer_volume // oz","label":null,"prefix":null,"suffix":"oz","section":"Result","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"final strength = round((concentrate_strength * concentrate_volume + mixer_strength * mixer_volume) / total_volume, 1) // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":10,"display":"10"},{"text":"# Adjustments","label":null,"prefix":null,"suffix":null,"section":"Adjustments","hero":false,"slider":null,"value":null,"display":null},{"text":"target strength = 5 // % 0.5..50","label":null,"prefix":null,"suffix":"%","section":"Adjustments","hidden":false,"hero":false,"slider":{"min":0.5,"max":50,"step":0.5},"value":5,"display":"5"},{"text":"mixer needed for target = round(concentrate_volume * (concentrate_strength - target_strength) / (target_strength - mixer_strength), 1) // oz","label":null,"prefix":null,"suffix":"oz","section":"Adjustments","hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"total volume at target = concentrate_volume + mixer_needed_for_target // oz","label":null,"prefix":null,"suffix":"oz","section":"Adjustments","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"}]},{"id":"drive-shaft-critical-speed","title":"Drive Shaft Critical Speed","description":"Calculate drive shaft critical speed.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.140Z"},"rows":[{"text":"# Shaft Specs","label":null,"prefix":null,"suffix":null,"section":"Shaft Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"diameter inches = 3","label":null,"prefix":null,"suffix":null,"section":"Shaft Specs","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"length inches = 50","label":null,"prefix":null,"suffix":null,"section":"Shaft Specs","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"material constant = 4800000","label":null,"prefix":null,"suffix":null,"section":"Shaft Specs","hidden":false,"hero":false,"slider":null,"value":4800000,"display":"4,800,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"critical speed rpm = material constant * (diameter inches / (length inches ^ 2))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5760,"display":"5,760"}]},{"id":"driveway-sealant-volume","title":"Driveway Sealant Volume","description":"Calculate gallons of sealant needed for your driveway.","category":"construction","icon":"container","tags":["construction","maintenance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.140Z"},"rows":[{"text":"driveway_width_feet = 20 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"driveway_length_feet = 40 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"coverage_sq_ft_per_gallon = 80 // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"@hero total_gallons_needed = (driveway_width_feet * driveway_length_feet) / coverage_sq_ft_per_gallon // gallons","label":null,"prefix":null,"suffix":"gallons","section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"drywall-panel-calculator","title":"Drywall Panel Calculator","description":"Estimate drywall panels, joint compound, and tape rolls needed for an area.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.141Z"},"rows":[{"text":"# Project Area","label":null,"prefix":null,"suffix":null,"section":"Project Area","hero":false,"slider":null,"value":null,"display":null},{"text":"total area = 800 // square feet 10..5k","label":null,"prefix":null,"suffix":"square feet","section":"Project Area","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":50},"value":800,"display":"800"},{"text":"# Panel Size","label":null,"prefix":null,"suffix":null,"section":"Panel Size","hero":false,"slider":null,"value":null,"display":null},{"text":"panel width = 4 // feet","label":null,"prefix":null,"suffix":"feet","section":"Panel Size","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"panel length = 8 // feet 8..12 by 2","label":null,"prefix":null,"suffix":"feet","section":"Panel Size","hidden":false,"hero":false,"slider":{"min":8,"max":12,"step":2},"value":8,"display":"8"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_panel_area = panel width * panel length","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"panels needed = roundup(total area / panel_area) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":25,"display":"25"},{"text":"# Materials","label":null,"prefix":null,"suffix":null,"section":"Materials","hero":false,"slider":null,"value":null,"display":null},{"text":"waste factor percent = 15 // 5..30","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":{"min":5,"max":30,"step":1},"value":15,"display":"15"},{"text":"total panels with waste = roundup(panels needed * (1 + waste factor percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":null,"value":29,"display":"29"},{"text":"# Accessories","label":null,"prefix":null,"suffix":null,"section":"Accessories","hero":false,"slider":null,"value":null,"display":null},{"text":"# Rule of thumb: 1 gallon of joint compound per 100 sq ft","label":null,"prefix":null,"suffix":null,"section":"Rule of thumb: 1 gallon of joint compound per 100 sq ft","hero":false,"slider":null,"value":null,"display":null},{"text":"joint compound gallons = round(total area / 100, 1)","label":null,"prefix":null,"suffix":null,"section":"Rule of thumb: 1 gallon of joint compound per 100 sq ft","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"# Rule of thumb: 1 roll of tape per 200 sq ft","label":null,"prefix":null,"suffix":null,"section":"Rule of thumb: 1 roll of tape per 200 sq ft","hero":false,"slider":null,"value":null,"display":null},{"text":"tape rolls = roundup(total area / 200)","label":null,"prefix":null,"suffix":null,"section":"Rule of thumb: 1 roll of tape per 200 sq ft","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"}]},{"id":"dunning-kruger-confidence-gap","title":"Dunning Kruger Confidence Gap","description":"Calculate the gap between actual and perceived competence percentiles.","category":"health","icon":"brain","tags":["gap"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.141Z"},"rows":[{"text":"actual_competence_percentile = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"perceived_competence_percentile = 70","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"confidence_gap = perceived_competence_percentile - actual_competence_percentile","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":60,"display":"60"}]},{"id":"e-discovery-cost-estimator","title":"E-Discovery Cost","description":"Estimate the cost of processing and reviewing electronic data.","category":"other","icon":"hard-drive","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.141Z"},"rows":[{"text":"dataVolumeGB = 50 // gigabytes","label":null,"prefix":null,"suffix":"gigabytes","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"processingCostPerGB = 200 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"reviewCostPerGB = 1000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"totalEDiscoveryCost = dataVolumeGB * (processingCostPerGB + reviewCostPerGB)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":60000,"display":"60,000"}]},{"id":"earnings-per-share","title":"Earnings Per Share","description":"Calculate earnings per share (EPS) from net income, preferred dividends, and shares.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.142Z"},"rows":[{"text":"# Earnings Data","label":null,"prefix":null,"suffix":null,"section":"Earnings Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$net income = 1200000 // 0..100M","label":null,"prefix":"$","suffix":null,"section":"Earnings Data","hidden":false,"hero":false,"slider":{"min":0,"max":100000000,"step":1000000},"value":1200000,"display":"$1,200,000.00"},{"text":"$preferred dividends = 200000 // 0..10M","label":null,"prefix":"$","suffix":null,"section":"Earnings Data","hidden":false,"hero":false,"slider":{"min":0,"max":10000000,"step":100000},"value":200000,"display":"$200,000.00"},{"text":"weighted average shares = 500000 // 1k..10M","label":null,"prefix":null,"suffix":null,"section":"Earnings Data","hidden":false,"hero":false,"slider":{"min":1000,"max":10000000,"step":100000},"value":500000,"display":"500,000"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$earnings per share = (net income - preferred dividends) / weighted average shares // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":2,"display":"$2.00"},{"text":"$available for common stockholders = net income - preferred dividends","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1000000,"display":"$1,000,000.00"},{"text":"payout ratio = if(earnings per share > 0, (0.50 / earnings per share) * 100, 0) // % (assumes $0.50 div)","label":null,"prefix":null,"suffix":"% (assumes $0.50 div)","section":"Result","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"}]},{"id":"earth-curvature-hidden-height","title":"Earth Curvature Hidden Height","description":"Calculate how much of a distant object is hidden by Earth's curvature.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.142Z"},"rows":[{"text":"# Geography","label":null,"prefix":null,"suffix":null,"section":"Geography","hero":false,"slider":null,"value":null,"display":null},{"text":"distance to object = 10 // miles 1..500","label":null,"prefix":null,"suffix":"miles","section":"Geography","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":10,"display":"10"},{"text":"observer height = 6 // feet 1..1k","label":null,"prefix":null,"suffix":"feet","section":"Geography","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":6,"display":"6"},{"text":"# Constants","label":null,"prefix":null,"suffix":null,"section":"Constants","hero":false,"slider":null,"value":null,"display":null},{"text":"earth radius miles = 3959","label":null,"prefix":null,"suffix":null,"section":"Constants","hidden":false,"hero":false,"slider":null,"value":3959,"display":"3,959"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"distance to horizon = sqrt(2 * earth radius miles * (observer height / 5280)) // miles","label":null,"prefix":null,"suffix":"miles","section":"Calculation","hidden":false,"hero":false,"slider":null,"value":2.999621188204816,"display":"2.9996"},{"text":"is visible = distance to object <= distance to horizon","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"# Hidden Height Formula","label":null,"prefix":null,"suffix":null,"section":"Hidden Height Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"# d_hidden = d_total - d_horizon","label":null,"prefix":null,"suffix":null,"section":"d_hidden = d_total - d_horizon","hero":false,"slider":null,"value":null,"display":null},{"text":"hidden distance = max(0, distance to object - distance to horizon)","label":null,"prefix":null,"suffix":null,"section":"d_hidden = d_total - d_horizon","hidden":false,"hero":false,"slider":null,"value":7.000378811795184,"display":"7.0004"},{"text":"hidden height feet = (hidden distance^2) / (2 * earth radius miles) * 5280","label":null,"prefix":null,"suffix":null,"section":"d_hidden = d_total - d_horizon","hidden":false,"hero":false,"slider":null,"value":32.6784544740555,"display":"32.6785"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"hidden height = hidden height feet // feet @hero","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":true,"slider":null,"value":32.6784544740555,"display":"32.6785"},{"text":"horizon distance = distance to horizon // miles","label":null,"prefix":null,"suffix":"miles","section":"Result","hidden":false,"hero":false,"slider":null,"value":2.999621188204816,"display":"2.9996"},{"text":"total drop = (distance to object^2) / (2 * earth radius miles) * 5280 // feet","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":false,"slider":null,"value":66.68350593584239,"display":"66.6835"}]},{"id":"ebay-profit-calculator","title":"Ebay Profit Calculator","description":"Calculate net profit on an eBay sale after item cost, shipping, and fees.","category":"finance","icon":"dollar-sign","tags":["profit","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.142Z"},"rows":[{"text":"selling_price = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"shipping_charged = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"item_cost = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"shipping_cost = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"ebay_fee_percentage = 0.1325","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1325,"display":"0.1325"},{"text":"ebay_per_order_fee = 0.30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"total_revenue = selling_price + shipping_charged","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":110,"display":"110"},{"text":"ebay_fee = (total_revenue * ebay_fee_percentage) + ebay_per_order_fee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":14.875,"display":"14.875"},{"text":"total_cost = item_cost + shipping_cost + ebay_fee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":66.875,"display":"66.875"},{"text":"net_profit = total_revenue - total_cost","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":43.125,"display":"43.125"}]},{"id":"ebitda-calculator","title":"Ebitda Calculator","description":"Calculate EBITDA from net income, interest, taxes, depreciation, and amortization.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.142Z"},"rows":[{"text":"# Company Financials","label":null,"prefix":null,"suffix":null,"section":"Company Financials","hero":false,"slider":null,"value":null,"display":null},{"text":"$net income = 500000 // 0..10M","label":null,"prefix":"$","suffix":null,"section":"Company Financials","hidden":false,"hero":false,"slider":{"min":0,"max":10000000,"step":100000},"value":500000,"display":"$500,000.00"},{"text":"$interest expense = 50000 // 0..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Company Financials","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":5000},"value":50000,"display":"$50,000.00"},{"text":"$income tax expense = 120000 // 0..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Company Financials","hidden":false,"hero":false,"slider":{"min":0,"max":2000000,"step":5000},"value":120000,"display":"$120,000.00"},{"text":"$depreciation = 80000 // 0..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Company Financials","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":5000},"value":80000,"display":"$80,000.00"},{"text":"$amortization = 20000 // 0..500k","label":null,"prefix":"$","suffix":null,"section":"Company Financials","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":5000},"value":20000,"display":"$20,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$ebitda = net income + interest expense + income tax expense + depreciation + amortization // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":770000,"display":"$770,000.00"},{"text":"$ebit = net income + interest expense + income tax expense","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":670000,"display":"$670,000.00"},{"text":"ebitda margin = (ebitda / (net income * 4)) * 100 // % (assumes revenue is 4x net income for context)","label":null,"prefix":null,"suffix":"% (assumes revenue is 4x net income for context)","section":"Result","hidden":false,"hero":false,"slider":null,"value":38.5,"display":"38.5"}]},{"id":"eco-label-product-premium","title":"Eco Label Product Premium","description":"Compare costs of eco-labeled vs standard products.","category":"finance","icon":"tag","tags":["finance","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.143Z"},"rows":[{"text":"standard_product_price = 10 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"eco_label_premium_percent = 15 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"@hero eco_product_price = standard_product_price * (1 + eco_label_premium_percent / 100) // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11.5,"display":"11.5"},{"text":"annual_extra_cost_if_buying_weekly = (eco_product_price - standard_product_price) * 52 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":78,"display":"78"}]},{"id":"economic-order-quantity","title":"Economic Order Quantity","description":"Find the optimal order size to minimize total inventory costs.","category":"business","icon":"shopping-cart","tags":["order"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.143Z"},"rows":[{"text":"annualDemand = 10000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"orderCost = 50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"holdingCostPerUnit = 2.50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"eoq = sqrt((2 * annualDemand * orderCost) / holdingCostPerUnit)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":632.4555320336759,"display":"632.4555"}]},{"id":"effective-annual-rate","title":"Effective Annual Rate","description":"Effective annual rate from a nominal rate compounded n times per year: EAR = (1 + r/n)ⁿ − 1.","category":"formulas","icon":"percent","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.143Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"nominal_rate = 6 // % 0..50","label":null,"prefix":null,"suffix":"%","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":6,"display":"6"},{"text":"compounding_periods = 12 // per year 1..365","label":null,"prefix":null,"suffix":"per year","section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":365,"step":1},"value":12,"display":"12"},{"text":"# Effective rate","label":null,"prefix":null,"suffix":null,"section":"Effective rate","hero":false,"slider":null,"value":null,"display":null},{"text":"effective_rate = ((1 + nominal_rate / 100 / compounding_periods)^compounding_periods - 1) * 100 // @label(EAR (%))","label":"EAR (%)","prefix":null,"suffix":null,"section":"Effective rate","hidden":false,"hero":true,"slider":null,"value":6.16778118644982,"display":"6.1678"}]},{"id":"effective-gross-income","title":"Effective Gross Income","description":"Property income after accounting for vacancy and credit losses.","category":"real-estate","icon":"dollar-sign","tags":["income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.143Z"},"rows":[{"text":"potentialRentalIncome = 100000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"vacancyAndCreditLoss = 5000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"otherIncome = 3000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"egi = potentialRentalIncome - vacancyAndCreditLoss + otherIncome","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":98000,"display":"98,000"}]},{"id":"eisenhower-matrix-task-priority","title":"Eisenhower Matrix Task Priority","description":"Calculate task priority index from urgency and importance scores.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.144Z"},"rows":[{"text":"urgency_score = 8 // 1..10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":8,"display":"8"},{"text":"importance_score = 9 // 1..10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":9,"display":"9"},{"text":"@hero priority_index = urgency_score * importance_score // max 100","label":null,"prefix":null,"suffix":"max 100","section":null,"hidden":false,"hero":true,"slider":null,"value":72,"display":"72"},{"text":"_quadrant = if (urgency_score > 5) { if (importance_score > 5) { \"Do First\" } else { \"Delegate\" } } else { if (importance_score > 5) { \"Schedule\" } else { \"Eliminate\" } }","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":"Do First","display":"Do First"}]},{"id":"electric-car-emissions-savings","title":"Electric Car Emissions Savings","description":"Compare EV emissions to gas vehicle emissions.","category":"science","icon":"zap","tags":["eco","ev","emissions"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.144Z"},"rows":[{"text":"annual_km_driven = 15000 // km","label":null,"prefix":null,"suffix":"km","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"gas_car_emissions_per_km = 0.12 // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"electric_car_emissions_per_km = 0.05 // kg CO2 (grid dependent)","label":null,"prefix":null,"suffix":"kg CO2 (grid dependent)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"@hero annual_co2_savings_kg = annual_km_driven * (gas_car_emissions_per_km - electric_car_emissions_per_km) // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":true,"slider":null,"value":1050,"display":"1,050"}]},{"id":"electric-circuit-total-resistance-parallel","title":"Electric Circuit Total Resistance Parallel","description":"Calculate total resistance of three resistors in parallel.","category":"education","icon":"book-open","tags":["electric"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.144Z"},"rows":[{"text":"r1 = 100 // ohms","label":null,"prefix":null,"suffix":"ohms","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"r2 = 200 // ohms","label":null,"prefix":null,"suffix":"ohms","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"r3 = 300 // ohms","label":null,"prefix":null,"suffix":"ohms","section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"@hero total_resistance_parallel = 1 / (1/r1 + 1/r2 + 1/r3) // ohms","label":null,"prefix":null,"suffix":"ohms","section":null,"hidden":false,"hero":true,"slider":null,"value":54.54545454545455,"display":"54.5455"}]},{"id":"electric-field-point-charge","title":"Electric Field Point Charge","description":"Calculate the electric field magnitude at a distance from a point charge.","category":"education","icon":"book-open","tags":["electric","charge"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.144Z"},"rows":[{"text":"charge = 1e-6 // Coulombs","label":null,"prefix":null,"suffix":"Coulombs","section":null,"hidden":false,"hero":false,"slider":null,"value":0.000001,"display":"0.000001"},{"text":"distance = 0.1 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"_k = 8.987e9 // N*m^2/C^2","label":null,"prefix":null,"suffix":"N*m^2/C^2","section":null,"hidden":true,"hero":false,"slider":null,"value":8987000000,"display":"8,987,000,000"},{"text":"@hero electric_field_magnitude = k * charge / distance^2 // Newtons per Coulomb","label":null,"prefix":null,"suffix":"Newtons per Coulomb","section":null,"hidden":false,"hero":true,"slider":null,"value":898699.9999999999,"display":"898,700"}]},{"id":"electric-power-efficiency","title":"Electric Power Efficiency","description":"Calculate electric power efficiency and power loss from input and output watts.","category":"education","icon":"book-open","tags":["electric"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.145Z"},"rows":[{"text":"power_input = 1000 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"power_output = 850 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":850,"display":"850"},{"text":"@hero efficiency_percentage = (power_output / power_input) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":85,"display":"85"},{"text":"@hero power_loss = power_input - power_output // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":true,"slider":null,"value":150,"display":"150"}]},{"id":"electrical-wire","title":"Wire Gauge","description":"Calculate minimum wire gauge for an electrical circuit.","category":"engineering","icon":"zap","tags":["electrical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.145Z"},"rows":[{"text":"# Circuit Requirements","label":null,"prefix":null,"suffix":null,"section":"Circuit Requirements","hero":false,"slider":null,"value":null,"display":null},{"text":"amps = 20 // 1..200","label":null,"prefix":null,"suffix":null,"section":"Circuit Requirements","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":20,"display":"20"},{"text":"distance ft = 100 // 10..1k","label":null,"prefix":null,"suffix":null,"section":"Circuit Requirements","hidden":false,"hero":false,"slider":{"min":10,"max":1000,"step":1},"value":100,"display":"100"},{"text":"voltage = 120 // V 12..480 by 12","label":null,"prefix":null,"suffix":"V","section":"Circuit Requirements","hidden":false,"hero":false,"slider":{"min":12,"max":480,"step":12},"value":120,"display":"120"},{"text":"# Wire Sizing (copper, NEC)","label":null,"prefix":null,"suffix":null,"section":"Wire Sizing (copper, NEC)","hero":false,"slider":null,"value":null,"display":null},{"text":"max voltage drop pct = 3 // % 1..5 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Wire Sizing (copper, NEC)","hidden":false,"hero":false,"slider":{"min":1,"max":5,"step":0.5},"value":3,"display":"3"},{"text":"_resistivity = 10.4 // ohm-cmil/ft (copper at 75°C)","label":null,"prefix":null,"suffix":"ohm-cmil/ft (copper at 75°C)","section":"Wire Sizing (copper, NEC)","hidden":true,"hero":false,"slider":null,"value":10.4,"display":"10.4"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"total wire length = distance ft * 2 // @label(Round-trip wire length) @suffix(ft)","label":"Round-trip wire length","prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"min wire area cmil = round((2 * resistivity * distance ft * amps) / (voltage * max voltage drop pct / 100)) // @hero @label(Min wire area (circular mils))","label":"Min wire area (circular mils)","prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":11556,"display":"11,556"},{"text":"# Voltage Drop","label":null,"prefix":null,"suffix":null,"section":"Voltage Drop","hero":false,"slider":null,"value":null,"display":null},{"text":"voltage drop = round((2 * resistivity * distance ft * amps) / min wire area cmil * 100) / 100 // V","label":null,"prefix":null,"suffix":"V","section":"Voltage Drop","hidden":false,"hero":false,"slider":null,"value":3.6,"display":"3.6"},{"text":"voltage drop pct = round((voltage drop / voltage) * 100 * 100) / 100 // % @label(Voltage drop %)","label":"Voltage drop %","prefix":null,"suffix":"%","section":"Voltage Drop","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"power loss watts = round(voltage drop * amps * 10) / 10 // W @label(Power lost in wire)","label":"Power lost in wire","prefix":null,"suffix":"W","section":"Voltage Drop","hidden":false,"hero":false,"slider":null,"value":72,"display":"72"}]},{"id":"electricity-bill","title":"Electricity Bill","description":"Estimate your monthly electricity bill from appliance usage.","category":"everyday","icon":"zap","tags":["everyday"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.145Z"},"rows":[{"text":"# Electricity Rate","label":null,"prefix":null,"suffix":null,"section":"Electricity Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"rate = 0.14 // $/kWh 0.05..0.5 by 0.01","label":null,"prefix":null,"suffix":"$/kWh","section":"Electricity Rate","hidden":false,"hero":false,"slider":{"min":0.05,"max":0.5,"step":0.01},"value":0.14,"display":"0.14"},{"text":"# Major Appliances (watts x hours/day)","label":null,"prefix":null,"suffix":null,"section":"Major Appliances (watts x hours/day)","hero":false,"slider":null,"value":null,"display":null},{"text":"ac watts = 1500 // W 0..5k by 100 @label(A/C or Heating)","label":"A/C or Heating","prefix":null,"suffix":"W","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":100},"value":1500,"display":"1,500"},{"text":"ac hours = 6 // hrs/day 0..24","label":null,"prefix":null,"suffix":"hrs/day","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":{"min":0,"max":24,"step":1},"value":6,"display":"6"},{"text":"fridge watts = 150 // W 0..500 by 10","label":null,"prefix":null,"suffix":"W","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":{"min":0,"max":500,"step":10},"value":150,"display":"150"},{"text":"fridge hours = 24 // hrs/day","label":null,"prefix":null,"suffix":"hrs/day","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"washer dryer watts = 3000 // W 0..5k by 100 @label(Washer + Dryer)","label":"Washer + Dryer","prefix":null,"suffix":"W","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":100},"value":3000,"display":"3,000"},{"text":"washer dryer hours = 1 // hrs/day 0..4 by 0.5","label":null,"prefix":null,"suffix":"hrs/day","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.5},"value":1,"display":"1"},{"text":"computer watts = 200 // W 0..1k @label(Computer / TV)","label":"Computer / TV","prefix":null,"suffix":"W","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":200,"display":"200"},{"text":"computer hours = 8 // hrs/day 0..24","label":null,"prefix":null,"suffix":"hrs/day","section":"Major Appliances (watts x hours/day)","hidden":false,"hero":false,"slider":{"min":0,"max":24,"step":1},"value":8,"display":"8"},{"text":"# Daily Usage","label":null,"prefix":null,"suffix":null,"section":"Daily Usage","hero":false,"slider":null,"value":null,"display":null},{"text":"daily kwh = round((ac watts * ac hours + fridge watts * fridge hours + washer dryer watts * washer dryer hours + computer watts * computer hours) / 1000 * 100) / 100","label":null,"prefix":null,"suffix":null,"section":"Daily Usage","hidden":false,"hero":false,"slider":null,"value":17.2,"display":"17.2"},{"text":"# Monthly Bill","label":null,"prefix":null,"suffix":null,"section":"Monthly Bill","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly kwh = round(daily kwh * 30.44 * 10) / 10 // kWh","label":null,"prefix":null,"suffix":"kWh","section":"Monthly Bill","hidden":false,"hero":false,"slider":null,"value":523.6,"display":"523.6"},{"text":"$monthly cost = round(monthly kwh * rate * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Monthly Bill","hidden":false,"hero":true,"slider":null,"value":73.3,"display":"$73.30"},{"text":"$annual cost = round(monthly cost * 12 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Monthly Bill","hidden":false,"hero":false,"slider":null,"value":879.6,"display":"$879.60"}]},{"id":"ellipse-area","title":"Ellipse Area","description":"Find the area of an ellipse from its two semi-axes: A = π × a × b.","category":"formulas","icon":"circle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.145Z"},"rows":[{"text":"# Semi-axes","label":null,"prefix":null,"suffix":null,"section":"Semi-axes","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Semi-axes","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"b = 4 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Semi-axes","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":4,"display":"4"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = pi * a * b","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":75.39822368615503,"display":"75.3982"}]},{"id":"email-marketing-roi","title":"Email Marketing Roi","description":"Calculate ROI of an email marketing campaign from open, click, and conversion rates.","category":"finance","icon":"dollar-sign","tags":["email","roi","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.146Z"},"rows":[{"text":"total_emails_sent = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"open_rate_percentage = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"click_through_rate_percentage = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"conversion_rate_percentage = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"average_order_value = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"campaign_cost = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"total_clicks = total_emails_sent * (open_rate_percentage / 100) * (click_through_rate_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"total_conversions = total_clicks * (conversion_rate_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"total_revenue = total_conversions * average_order_value","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"return_on_investment_percentage = ((total_revenue - campaign_cost) / campaign_cost) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":-50,"display":"-50"}]},{"id":"email-open-rate-impact","title":"Email Open Rate Impact","description":"Calculate total clicks expected from email subscribers, open rate, and CTR.","category":"other","icon":"calculator","tags":["email"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.146Z"},"rows":[{"text":"subscribers = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"open_rate = 0.20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"click_through_rate = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"total_opens = subscribers * open_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"total_clicks = total_opens * click_through_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"email-processing-time-batching","title":"Email Processing Time Batching","description":"Calculate daily and weekly hours spent processing email at a given pace.","category":"productivity","icon":"clock","tags":["email"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.146Z"},"rows":[{"text":"emails_per_day = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"time_per_email_seconds = 120 // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"_total_seconds = emails_per_day * time_per_email_seconds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"@hero total_time_minutes = total_seconds / 60 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"@hero weekly_email_hours = (total_time_minutes * 5) / 60 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":true,"slider":null,"value":8.333333333333334,"display":"8.3333"}]},{"id":"emergency-fund-calculator","title":"Emergency Fund","description":"Calculate how much you need saved for a 3-6 month emergency cushion.","category":"finance","icon":"shield-check","tags":["fund","safety"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.146Z"},"rows":[{"text":"# Monthly Expenses","label":null,"prefix":null,"suffix":null,"section":"Monthly Expenses","hero":false,"slider":null,"value":null,"display":null},{"text":"rent or mortgage = $1800 // 200..5k","label":null,"prefix":"$","suffix":null,"section":"Monthly Expenses","hidden":false,"hero":false,"slider":{"min":200,"max":5000,"step":50},"value":1800,"display":"$1,800.00"},{"text":"groceries = $600 // 100..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Expenses","hidden":false,"hero":false,"slider":{"min":100,"max":2000,"step":25},"value":600,"display":"$600.00"},{"text":"utilities = $200 // 50..1k","label":null,"prefix":"$","suffix":null,"section":"Monthly Expenses","hidden":false,"hero":false,"slider":{"min":50,"max":1000,"step":1},"value":200,"display":"$200.00"},{"text":"transportation = $300 // 0..1.5k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":1500,"step":25},"value":300,"display":"$300.00"},{"text":"insurance = $250 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":250,"display":"$250.00"},{"text":"other essentials = $400 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":400,"display":"$400.00"},{"text":"# Essential Monthly Total","label":null,"prefix":null,"suffix":null,"section":"Essential Monthly Total","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly essential expenses = $rent_or_mortgage + groceries + utilities + transportation + insurance + other_essentials","label":null,"prefix":"$","suffix":null,"section":"Essential Monthly Total","hidden":false,"hero":false,"slider":null,"value":3550,"display":"$3,550.00"},{"text":"# Emergency Fund Goals","label":null,"prefix":null,"suffix":null,"section":"Emergency Fund Goals","hero":false,"slider":null,"value":null,"display":null},{"text":"$six month fund conservative = monthly_essential_expenses * 6 // @hero @label(6-Month Fund (Conservative))","label":"6-Month Fund (Conservative)","prefix":"$","suffix":null,"section":"Emergency Fund Goals","hidden":false,"hero":true,"slider":null,"value":21300,"display":"$21,300.00"},{"text":"$four month fund moderate = monthly_essential_expenses * 4 // @label(4-Month Fund (Moderate))","label":"4-Month Fund (Moderate)","prefix":"$","suffix":null,"section":"Emergency Fund Goals","hidden":false,"hero":false,"slider":null,"value":14200,"display":"$14,200.00"},{"text":"$three month fund minimum = monthly_essential_expenses * 3 // @label(3-Month Fund (Minimum))","label":"3-Month Fund (Minimum)","prefix":"$","suffix":null,"section":"Emergency Fund Goals","hidden":false,"hero":false,"slider":null,"value":10650,"display":"$10,650.00"},{"text":"# Current Status","label":null,"prefix":null,"suffix":null,"section":"Current Status","hero":false,"slider":null,"value":null,"display":null},{"text":"current emergency savings = $8000 // 0..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Current Status","hidden":false,"hero":false,"slider":{"min":0,"max":100000,"step":500},"value":8000,"display":"$8,000.00"},{"text":"months currently covered = current_emergency_savings / monthly_essential_expenses","label":null,"prefix":null,"suffix":null,"section":"Current Status","hidden":false,"hero":false,"slider":null,"value":2.2535211267605635,"display":"2.2535"},{"text":"# Progress","label":null,"prefix":null,"suffix":null,"section":"Progress","hero":false,"slider":null,"value":null,"display":null},{"text":"$remaining to 6 month goal = six_month_fund_conservative - current_emergency_savings","label":null,"prefix":"$","suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":null,"value":13300,"display":"$13,300.00"},{"text":"monthly savings goal = $500 // 50..5k","label":null,"prefix":"$","suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":{"min":50,"max":5000,"step":50},"value":500,"display":"$500.00"},{"text":"months to reach goal = remaining_to_6_month_goal / monthly_savings_goal","label":null,"prefix":null,"suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":null,"value":26.6,"display":"26.6"}]},{"id":"emergency-fund-months-remaining","title":"Emergency Fund Months Remaining","description":"Calculate how many months your savings will cover at current monthly expenses.","category":"other","icon":"calculator","tags":["fund"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.147Z"},"rows":[{"text":"current_savings = 12000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12000,"display":"12,000"},{"text":"monthly_expenses = 3000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"months_remaining = current_savings / monthly_expenses","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"empathy-quotient-approximation","title":"Empathy Quotient Approximation","description":"Estimate an empathy quotient score from social awareness and emotional reactivity.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.147Z"},"rows":[{"text":"social_awareness_score = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"emotional_reactivity_score = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"empathy_quotient = (social_awareness_score + emotional_reactivity_score) * 2.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":37.5,"display":"37.5"}]},{"id":"employee-cost","title":"Employee Cost","description":"Calculate the true annual cost of hiring an employee.","category":"business","icon":"users","tags":["salary"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.147Z"},"rows":[{"text":"# Base Compensation","label":null,"prefix":null,"suffix":null,"section":"Base Compensation","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual salary = 75000 // 30k..300k by 1k","label":null,"prefix":"$","suffix":null,"section":"Base Compensation","hidden":false,"hero":false,"slider":{"min":30000,"max":300000,"step":1000},"value":75000,"display":"$75,000.00"},{"text":"benefits rate = 25 // % 0..50","label":null,"prefix":null,"suffix":"%","section":"Base Compensation","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":25,"display":"25"},{"text":"payroll tax rate = 7.65 // % 0..20","label":null,"prefix":null,"suffix":"%","section":"Base Compensation","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":7.65,"display":"7.65"},{"text":"# Overhead","label":null,"prefix":null,"suffix":null,"section":"Overhead","hero":false,"slider":null,"value":null,"display":null},{"text":"$equipment and software = 3000 // 0..20k by 500","label":null,"prefix":"$","suffix":null,"section":"Overhead","hidden":false,"hero":false,"slider":{"min":0,"max":20000,"step":500},"value":3000,"display":"$3,000.00"},{"text":"$office and facilities = 6000 // 0..30k","label":null,"prefix":"$","suffix":null,"section":"Overhead","hidden":false,"hero":false,"slider":{"min":0,"max":30000,"step":500},"value":6000,"display":"$6,000.00"},{"text":"$training and development = 2000 // 0..10k by 500","label":null,"prefix":"$","suffix":null,"section":"Overhead","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":500},"value":2000,"display":"$2,000.00"},{"text":"# True Cost","label":null,"prefix":null,"suffix":null,"section":"True Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$benefits cost = round(annual salary * benefits rate / 100 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"True Cost","hidden":false,"hero":false,"slider":null,"value":18750,"display":"$18,750.00"},{"text":"$payroll taxes = round(annual salary * payroll tax rate / 100 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"True Cost","hidden":false,"hero":false,"slider":null,"value":5737.5,"display":"$5,737.50"},{"text":"$total overhead = equipment and software + office and facilities + training and development","label":null,"prefix":"$","suffix":null,"section":"True Cost","hidden":false,"hero":false,"slider":null,"value":11000,"display":"$11,000.00"},{"text":"$total annual cost = round((annual salary + benefits cost + payroll taxes + total overhead) * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"True Cost","hidden":false,"hero":true,"slider":null,"value":110487.5,"display":"$110,487.50"},{"text":"cost multiplier = round(total annual cost / annual salary * 100) / 100 // @label(Cost multiplier over salary)","label":"Cost multiplier over salary","prefix":null,"suffix":null,"section":"True Cost","hidden":false,"hero":false,"slider":null,"value":1.47,"display":"1.47"},{"text":"# Hourly Breakdown","label":null,"prefix":null,"suffix":null,"section":"Hourly Breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"working hours per year = 2080 // 1.5k..2.2k","label":null,"prefix":null,"suffix":null,"section":"Hourly Breakdown","hidden":false,"hero":false,"slider":{"min":1500,"max":2200,"step":1},"value":2080,"display":"2,080"},{"text":"$effective hourly rate = round(total annual cost / working hours per year * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Hourly Breakdown","hidden":false,"hero":false,"slider":null,"value":53.12,"display":"$53.12"}]},{"id":"employee-stock-option-valuation-eso","title":"Employee Stock Option Valuation Eso","description":"Estimate the intrinsic value of an employee stock option (ESO).","category":"finance","icon":"dollar-sign","tags":["stock","valuation","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.147Z"},"rows":[{"text":"stock_price = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"strike_price = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"years_to_expiry = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"volatility = 0.30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"risk_free_rate = 0.04","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"},{"text":"value = stock_price - strike_price","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"endangered-species-population-growth","title":"Endangered Species Growth","description":"Model population recovery using logistic growth.","category":"science","icon":"dog","tags":["science","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.148Z"},"rows":[{"text":"initial_population = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"annual_growth_rate_percent = 5 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"carrying_capacity = 2000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"years = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero population_after_years = carrying_capacity / (1 + ((carrying_capacity - initial_population) / initial_population) * exp(- (annual_growth_rate_percent / 100) * years))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":709.3224887848869,"display":"709.3225"}]},{"id":"energy-conversion","title":"Gas vs EV Energy","description":"Useful work from a gas tank versus an EV battery after efficiency losses.","category":"everyday","icon":"battery-charging","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.148Z"},"rows":[{"text":"# Gasoline Side","label":null,"prefix":null,"suffix":null,"section":"Gasoline Side","hero":false,"slider":null,"value":null,"display":null},{"text":"gallons = 8 // 0.1..50 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Gasoline Side","hidden":false,"hero":false,"slider":{"min":0.1,"max":50,"step":0.1},"value":8,"display":"8"},{"text":"_kwh_per_gallon = 33.7 // kWh","label":null,"prefix":null,"suffix":"kWh","section":"Gasoline Side","hidden":true,"hero":false,"slider":null,"value":33.7,"display":"33.7"},{"text":"ice efficiency = 25 // % 5..50","label":null,"prefix":null,"suffix":"%","section":"Gasoline Side","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":1},"value":25,"display":"25"},{"text":"total gas kwh = gallons * kwh_per_gallon // kWh @label(Gas chemical energy)","label":"Gas chemical energy","prefix":null,"suffix":"kWh","section":"Gasoline Side","hidden":false,"hero":false,"slider":null,"value":269.6,"display":"269.6"},{"text":"useful gas kwh = total gas kwh * ice efficiency / 100 // kWh @label(Useful work from gas)","label":"Useful work from gas","prefix":null,"suffix":"kWh","section":"Gasoline Side","hidden":false,"hero":false,"slider":null,"value":67.4,"display":"67.4"},{"text":"# Electric Side","label":null,"prefix":null,"suffix":null,"section":"Electric Side","hero":false,"slider":null,"value":null,"display":null},{"text":"battery kwh = 75 // kWh 10..200 by 5","label":null,"prefix":null,"suffix":"kWh","section":"Electric Side","hidden":false,"hero":false,"slider":{"min":10,"max":200,"step":5},"value":75,"display":"75"},{"text":"ev efficiency = 85 // % 50..100","label":null,"prefix":null,"suffix":"%","section":"Electric Side","hidden":false,"hero":false,"slider":{"min":50,"max":100,"step":1},"value":85,"display":"85"},{"text":"useful ev kwh = battery kwh * ev efficiency / 100 // kWh @hero @label(Useful work from EV battery)","label":"Useful work from EV battery","prefix":null,"suffix":"kWh","section":"Electric Side","hidden":false,"hero":true,"slider":null,"value":63.75,"display":"63.75"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"ev equivalent gallons = round(useful ev kwh / (kwh_per_gallon * ice efficiency / 100), 1) // gal @label(EV battery in \"useful\" gallons)","label":"EV battery in \"useful\" gallons","prefix":null,"suffix":"gal","section":"Comparison","hidden":false,"hero":false,"slider":null,"value":7.6,"display":"7.6"},{"text":"ratio = round(useful ev kwh / useful gas kwh, 2) // @label(EV useful ÷ Gas useful)","label":"EV useful ÷ Gas useful","prefix":null,"suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":0.95,"display":"0.95"}]},{"id":"energy-cost-bitcoin-mining","title":"Energy Cost Bitcoin Mining","description":"Calculate daily electricity cost to run a Bitcoin mining rig at a given rate.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.148Z"},"rows":[{"text":"miner_power_consumption_watts = 3250","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3250,"display":"3,250"},{"text":"electricity_cost_per_kilowatt_hour = 0.12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"mining_duration_hours = 24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"total_daily_energy_cost = (miner_power_consumption_watts * mining_duration_hours / 1000) * electricity_cost_per_kilowatt_hour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.36,"display":"9.36"}]},{"id":"engine-displacement-bore-stroke","title":"Engine Displacement Bore Stroke","description":"Calculate engine displacement from bore, stroke, and cylinder count.","category":"engineering","icon":"settings","tags":["automotive","engine"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.148Z"},"rows":[{"text":"# Engine Stats","label":null,"prefix":null,"suffix":null,"section":"Engine Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"bore millimeters = 86","label":null,"prefix":null,"suffix":null,"section":"Engine Stats","hidden":false,"hero":false,"slider":null,"value":86,"display":"86"},{"text":"stroke millimeters = 86","label":null,"prefix":null,"suffix":null,"section":"Engine Stats","hidden":false,"hero":false,"slider":null,"value":86,"display":"86"},{"text":"cylinder count = 4","label":null,"prefix":null,"suffix":null,"section":"Engine Stats","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_bore_centimeters = bore millimeters / 10","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":8.6,"display":"8.6"},{"text":"_stroke_centimeters = stroke millimeters / 10","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":8.6,"display":"8.6"},{"text":"_radius_centimeters = bore_centimeters / 2","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":4.3,"display":"4.3"},{"text":"_displacement_per_cylinder = pi * (radius_centimeters ^ 2) * stroke_centimeters","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":499.55721421792737,"display":"499.5572"},{"text":"total displacement cubic centimeters = displacement_per_cylinder * cylinder count","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1998.2288568717095,"display":"1,998.2289"}]},{"id":"environmental-compliance-audit-score","title":"Environmental Audit Score","description":"Measure your facility's environmental compliance performance.","category":"other","icon":"leaf","tags":["compliance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.149Z"},"rows":[{"text":"auditPointsEarned = 85 // points","label":null,"prefix":null,"suffix":"points","section":null,"hidden":false,"hero":false,"slider":null,"value":85,"display":"85"},{"text":"totalPossiblePoints = 100 // points","label":null,"prefix":null,"suffix":"points","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"auditScore = (auditPointsEarned / totalPossiblePoints) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":85,"display":"85"}]},{"id":"escape-room-clue-frequency","title":"Escape Room Clue Frequency","description":"Calculate the clue-frequency threshold in minutes per remaining puzzle.","category":"science","icon":"flask-conical","tags":["escape","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.149Z"},"rows":[{"text":"# Game Stats","label":null,"prefix":null,"suffix":null,"section":"Game Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"total time minutes = 60","label":null,"prefix":null,"suffix":null,"section":"Game Stats","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"number of puzzles = 12","label":null,"prefix":null,"suffix":null,"section":"Game Stats","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"# Progress","label":null,"prefix":null,"suffix":null,"section":"Progress","hero":false,"slider":null,"value":null,"display":null},{"text":"puzzles solved = 4","label":null,"prefix":null,"suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"time elapsed = 25 // minutes","label":null,"prefix":null,"suffix":"minutes","section":"Progress","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_time_per_puzzle_goal = total time minutes / number of puzzles","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"_puzzles_remaining = number of puzzles - puzzles solved","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"_time_remaining = total time minutes - time elapsed","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"clue threshold = time_remaining / puzzles_remaining // minutes per puzzle","label":null,"prefix":null,"suffix":"minutes per puzzle","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4.375,"display":"4.375"}]},{"id":"escape-velocity-planetary","title":"Escape Velocity Planetary","description":"Calculate the escape velocity from a planet in kilometers per second.","category":"science","icon":"flask-conical","tags":["escape","planetary","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.149Z"},"rows":[{"text":"planetary_mass_kilograms = 5.972e24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5.972e+24,"display":"5.972e24"},{"text":"planetary_radius_meters = 6371000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371000,"display":"6,371,000"},{"text":"gravitational_constant = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"escape_velocity_meters_per_second = ( (2 * gravitational_constant * planetary_mass_kilograms) / planetary_radius_meters ) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":11185.72649237147,"display":"11,185.7265"},{"text":"escape_velocity_kilometers_per_second = escape_velocity_meters_per_second / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11.18572649237147,"display":"11.1857"}]},{"id":"escape-velocity","title":"Escape Velocity","description":"Calculate planetary escape velocity in meters per second from mass and radius.","category":"science","icon":"globe","tags":["escape"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.149Z"},"rows":[{"text":"planetary_mass_kilograms = 5.97e24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5.97e+24,"display":"5.97e24"},{"text":"planetary_radius_meters = 6371000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371000,"display":"6,371,000"},{"text":"gravitational_constant = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"escape_velocity_meters_per_second = sqrt(2 * gravitational_constant * planetary_mass_kilograms / planetary_radius_meters)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11183.853306979057,"display":"11,183.8533"}]},{"id":"espresso-brew-ratio","title":"Espresso Brew Ratio","description":"Calculate espresso brew ratio from dose and yield in grams.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.150Z"},"rows":[{"text":"dose_grams = 18","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"yield_grams = 36","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":36,"display":"36"},{"text":"@hero brew_ratio = yield_grams / dose_grams","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"estate-tax-calculator","title":"Estate Tax Calculator","description":"Estimate federal estate tax owed and the amount passing to heirs.","category":"finance","icon":"dollar-sign","tags":["estate","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.150Z"},"rows":[{"text":"# Estate Details","label":null,"prefix":null,"suffix":null,"section":"Estate Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$total estate value = 15000000 // 1M..50M by 100k","label":null,"prefix":"$","suffix":null,"section":"Estate Details","hidden":false,"hero":false,"slider":{"min":1000000,"max":50000000,"step":100000},"value":15000000,"display":"$15,000,000.00"},{"text":"$exemption amount = 13610000 // 2024 limit 0..20000000 by 10000","label":null,"prefix":"$","suffix":"2024 limit","section":"Estate Details","hidden":false,"hero":false,"slider":{"min":0,"max":20000000,"step":10000},"value":13610000,"display":"$13,610,000.00"},{"text":"top tax rate = 40 // % 0..50","label":null,"prefix":null,"suffix":"%","section":"Estate Details","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":40,"display":"40"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_taxable_estate = if(total estate value > exemption amount, total estate value - exemption amount, 0)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":1390000,"display":"$1,390,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated federal estate tax = taxable_estate * (top tax rate / 100) // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":556000,"display":"$556,000.00"},{"text":"$remaining estate to heirs = total estate value - estimated federal estate tax","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":14444000,"display":"$14,444,000.00"},{"text":"effective tax rate = (estimated federal estate tax / total estate value) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":3.7066666666666666,"display":"3.7067"}]},{"id":"ethereum-staking-reward-estimate","title":"Ethereum Staking Reward Estimate","description":"Estimate monthly ETH staking rewards from staked amount and APY.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.150Z"},"rows":[{"text":"amount_staked_ethereum = 32","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"annual_percentage_yield = 0.04","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"},{"text":"estimated_annual_staking_reward = amount_staked_ethereum * annual_percentage_yield","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.28,"display":"1.28"},{"text":"estimated_monthly_reward = estimated_annual_staking_reward / 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.10666666666666667,"display":"0.1067"}]},{"id":"etsy-fee-breakdown","title":"Etsy Fee Breakdown","description":"Calculate total Etsy fees on a sale from listing, transaction, and processing fees.","category":"other","icon":"calculator","tags":["fee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.151Z"},"rows":[{"text":"item_price = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"shipping_charged = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"listing_fee = 0.20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"transaction_fee_percentage = 0.065","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.065,"display":"0.065"},{"text":"payment_processing_percentage = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"payment_processing_fixed = 0.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"total_price = item_price + shipping_charged","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"transaction_fee = total_price * transaction_fee_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.95,"display":"1.95"},{"text":"processing_fee = (total_price * payment_processing_percentage) + payment_processing_fixed","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.15,"display":"1.15"},{"text":"total_fees = listing_fee + transaction_fee + processing_fee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.3,"display":"3.3"}]},{"id":"ev-charging-time-calculator","title":"EV Charging Time Calculator","description":"Calculate EV charging time.","category":"engineering","icon":"settings","tags":["automotive","ev"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.151Z"},"rows":[{"text":"# Charging Stats","label":null,"prefix":null,"suffix":null,"section":"Charging Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"battery capacity kilowatt hours = 75","label":null,"prefix":null,"suffix":null,"section":"Charging Stats","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"current charge percent = 20 // %","label":null,"prefix":null,"suffix":"%","section":"Charging Stats","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"target charge percent = 80 // %","label":null,"prefix":null,"suffix":"%","section":"Charging Stats","hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"charger power kilowatts = 11","label":null,"prefix":null,"suffix":null,"section":"Charging Stats","hidden":false,"hero":false,"slider":null,"value":11,"display":"11"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_charge_needed_kilowatt_hours = battery capacity kilowatt hours * (target charge percent - current charge percent) / 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"charging time hours = charge_needed_kilowatt_hours / charger power kilowatts","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4.090909090909091,"display":"4.0909"}]},{"id":"ev-range-battery-capacity","title":"EV Range Battery Capacity","description":"Calculate estimated EV range.","category":"engineering","icon":"settings","tags":["automotive","ev"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.152Z"},"rows":[{"text":"# Battery Stats","label":null,"prefix":null,"suffix":null,"section":"Battery Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"battery capacity kilowatt hours = 75","label":null,"prefix":null,"suffix":null,"section":"Battery Stats","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"efficiency watt hours per mile = 300","label":null,"prefix":null,"suffix":null,"section":"Battery Stats","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_battery_capacity_watt_hours = battery capacity kilowatt hours * 1000","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":75000,"display":"75,000"},{"text":"estimated range miles = battery_capacity_watt_hours / efficiency watt hours per mile","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":250,"display":"250"}]},{"id":"event-countdown","title":"Event Countdown","description":"Count down to an event in days, hours, and weekends.","category":"everyday","icon":"calendar","tags":["timer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.152Z"},"rows":[{"text":"# Event","label":null,"prefix":null,"suffix":null,"section":"Event","hero":false,"slider":null,"value":null,"display":null},{"text":"days until event = 90 // days 1..1k","label":null,"prefix":null,"suffix":"days","section":"Event","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":90,"display":"90"},{"text":"# Countdown","label":null,"prefix":null,"suffix":null,"section":"Countdown","hero":false,"slider":null,"value":null,"display":null},{"text":"weeks = round(days until event / 7 * 10) / 10","label":null,"prefix":null,"suffix":null,"section":"Countdown","hidden":false,"hero":false,"slider":null,"value":12.9,"display":"12.9"},{"text":"hours = days until event * 24 // @hero","label":null,"prefix":null,"suffix":null,"section":"Countdown","hidden":false,"hero":true,"slider":null,"value":2160,"display":"2,160"},{"text":"minutes = hours * 60","label":null,"prefix":null,"suffix":null,"section":"Countdown","hidden":false,"hero":false,"slider":null,"value":129600,"display":"129,600"},{"text":"seconds = minutes * 60","label":null,"prefix":null,"suffix":null,"section":"Countdown","hidden":false,"hero":false,"slider":null,"value":7776000,"display":"7,776,000"},{"text":"# Planning","label":null,"prefix":null,"suffix":null,"section":"Planning","hero":false,"slider":null,"value":null,"display":null},{"text":"weekends left = floor(days until event / 7)","label":null,"prefix":null,"suffix":null,"section":"Planning","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"months approx = round(days until event / 30.44 * 10) / 10 // @label(Approximately Months)","label":"Approximately Months","prefix":null,"suffix":null,"section":"Planning","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"work days = round(days until event * 5 / 7) // @label(Work Days (approx))","label":"Work Days (approx)","prefix":null,"suffix":null,"section":"Planning","hidden":false,"hero":false,"slider":null,"value":64,"display":"64"}]},{"id":"exhaust-pipe-sizing","title":"Exhaust Pipe Sizing","description":"Estimate recommended exhaust pipe diameter.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.152Z"},"rows":[{"text":"# Engine Power","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hero":false,"slider":null,"value":null,"display":null},{"text":"horsepower = 400","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"diameter inches = (horsepower ^ 0.5) * 0.125","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":2.5,"display":"2.5"}]},{"id":"exoplanet-habitability","title":"Exoplanet Habitability","description":"Calculate the habitable zone boundaries around a star from its luminosity.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.153Z"},"rows":[{"text":"star_luminosity_relative_to_sun = 1.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"inner_boundary_astronomical_units = sqrt(star_luminosity_relative_to_sun / 1.1)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.9534625892455924,"display":"0.9535"},{"text":"outer_boundary_astronomical_units = sqrt(star_luminosity_relative_to_sun / 0.53)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.3736056394868903,"display":"1.3736"}]},{"id":"expected-value","title":"Expected Value","description":"E[X] = Σ xᵢ · P(xᵢ) for a discrete distribution (up to 4 outcomes).","category":"formulas","icon":"percent","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.153Z"},"rows":[{"text":"# Outcomes and their probabilities","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 0 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":0,"display":"0"},{"text":"p1 = 0.5 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.5,"display":"0.5"},{"text":"x2 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"p2 = 0.3 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.3,"display":"0.3"},{"text":"x3 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"p3 = 0.15 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.15,"display":"0.15"},{"text":"x4 = 10 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":10,"display":"10"},{"text":"p4 = 0.05 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.05,"display":"0.05"},{"text":"# Expected value","label":null,"prefix":null,"suffix":null,"section":"Expected value","hero":false,"slider":null,"value":null,"display":null},{"text":"expected = x1 * p1 + x2 * p2 + x3 * p3 + x4 * p4 // @label(E[X])","label":"E[X]","prefix":null,"suffix":null,"section":"Expected value","hidden":false,"hero":true,"slider":null,"value":1.55,"display":"1.55"}]},{"id":"expense-ratio-impact-fee","title":"Expense Ratio Impact Fee","description":"Calculate the impact of fund expense ratios on investment value over 30 years.","category":"finance","icon":"ratio","tags":["fee","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.153Z"},"rows":[{"text":"initial_investment = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"annual_return = 0.07","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.07,"display":"0.07"},{"text":"expense_ratio = 0.0075","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0075,"display":"0.0075"},{"text":"years = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"value_without_fees = initial_investment * (1 + annual_return) ** years","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":76122.55042662041,"display":"76,122.5504"},{"text":"value_with_fees = initial_investment * (1 + annual_return - expense_ratio) ** years","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":61640.78511584826,"display":"61,640.7851"},{"text":"fee_impact = value_without_fees - value_with_fees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":14481.76531077215,"display":"14,481.7653"}]},{"id":"experience-gain-multiplier","title":"Experience Gain Multiplier","description":"Calculate total experience gain with bonuses.","category":"math","icon":"trending-up","tags":["gaming","experience"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.154Z"},"rows":[{"text":"# EXP Settings","label":null,"prefix":null,"suffix":null,"section":"EXP Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base experience = 500","label":null,"prefix":null,"suffix":null,"section":"EXP Settings","hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"world bonus percent = 50 // %","label":null,"prefix":null,"suffix":"%","section":"EXP Settings","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"item bonus percent = 10 // %","label":null,"prefix":null,"suffix":"%","section":"EXP Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"group bonus percent = 15 // %","label":null,"prefix":null,"suffix":"%","section":"EXP Settings","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_bonus_multiplier = 1 + (world bonus percent / 100) + (item bonus percent / 100) + (group bonus percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.75,"display":"1.75"},{"text":"final experience = base experience * total_bonus_multiplier","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":875,"display":"875"}]},{"id":"exponential-decay","title":"Exponential Decay","description":"N(t) = N₀ · e^(−k·t) — continuous exponential decay.","category":"formulas","icon":"trending-up","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.154Z"},"rows":[{"text":"# Parameters","label":null,"prefix":null,"suffix":null,"section":"Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"initial_amount = 100 // 0..1M","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":100,"display":"100"},{"text":"decay_constant = 0.1 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.1,"display":"0.1"},{"text":"time = 10 // 0..1k","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":10,"display":"10"},{"text":"# Amount remaining at time t","label":null,"prefix":null,"suffix":null,"section":"Amount remaining at time t","hero":false,"slider":null,"value":null,"display":null},{"text":"amount = initial_amount * exp(-decay_constant * time) // @label(N(t))","label":"N(t)","prefix":null,"suffix":null,"section":"Amount remaining at time t","hidden":false,"hero":true,"slider":null,"value":36.787944117144235,"display":"36.7879"}]},{"id":"exponential-growth","title":"Exponential Growth","description":"N(t) = N₀ · e^(k·t) — continuous exponential growth.","category":"formulas","icon":"trending-up","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.154Z"},"rows":[{"text":"# Parameters","label":null,"prefix":null,"suffix":null,"section":"Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"initial_amount = 100 // 0..1M","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":100,"display":"100"},{"text":"rate = 0.05 // -1..1","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":-1,"max":1,"step":0.02},"value":0.05,"display":"0.05"},{"text":"time = 10 // 0..1k","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":10,"display":"10"},{"text":"# Amount at time t","label":null,"prefix":null,"suffix":null,"section":"Amount at time t","hero":false,"slider":null,"value":null,"display":null},{"text":"amount = initial_amount * exp(rate * time) // @label(N(t))","label":"N(t)","prefix":null,"suffix":null,"section":"Amount at time t","hidden":false,"hero":true,"slider":null,"value":164.87212707001282,"display":"164.8721"}]},{"id":"exposure-value-compensation","title":"Exposure Value Compensation","description":"Calculate adjusted shutter speed from a base speed and exposure compensation stops.","category":"math","icon":"infinity","tags":["exposure","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.154Z"},"rows":[{"text":"base_shutter_speed_seconds = 0.01 // 1/100","label":null,"prefix":null,"suffix":"1/100","section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"ev_compensation = 1 // +1 stop","label":null,"prefix":null,"suffix":"+1 stop","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero adjusted_shutter_speed_seconds = base_shutter_speed_seconds * (2^ev_compensation)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.02,"display":"0.02"}]},{"id":"extrinsic-reward-decay","title":"Extrinsic Reward Decay","description":"Estimate the diminishing effective value of repeated extrinsic rewards.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.155Z"},"rows":[{"text":"number_of_rewards = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"satiation_factor = 0.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"effective_reward_value = 1 / (1 + satiation_factor * number_of_rewards)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.5,"display":"0.5"}]},{"id":"factor-by-grouping","title":"Factor by Grouping Check","description":"Given ax² + bx + c, find the two numbers that multiply to a·c and sum to b.","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.155Z"},"rows":[{"text":"# Quadratic ax² + bx + c","label":null,"prefix":null,"suffix":null,"section":"Quadratic ax² + bx + c","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Quadratic ax² + bx + c","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"b = 7 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Quadratic ax² + bx + c","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":7,"display":"7"},{"text":"c = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Quadratic ax² + bx + c","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"# Product and sum to find","label":null,"prefix":null,"suffix":null,"section":"Product and sum to find","hero":false,"slider":null,"value":null,"display":null},{"text":"target_product = a * c // @label(a·c)","label":"a·c","prefix":null,"suffix":null,"section":"Product and sum to find","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"target_sum = b // @label(b)","label":"b","prefix":null,"suffix":null,"section":"Product and sum to find","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"# Find m and n where m + n = b and m · n = a · c","label":null,"prefix":null,"suffix":null,"section":"Find m and n where m + n = b and m · n = a · c","hero":false,"slider":null,"value":null,"display":null},{"text":"discriminant = b^2 - 4 * target_product","label":null,"prefix":null,"suffix":null,"section":"Find m and n where m + n = b and m · n = a · c","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"m = (b + sqrt(abs(discriminant))) / 2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Find m and n where m + n = b and m · n = a · c","hidden":false,"hero":true,"slider":null,"value":6,"display":"6"},{"text":"n = (b - sqrt(abs(discriminant))) / 2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Find m and n where m + n = b and m · n = a · c","hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"factorial-calculator","title":"Factorial Calculator","description":"Calculate the factorial (n!) of a number.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.155Z"},"rows":[{"text":"number = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"result = factorial(number)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":120,"display":"120"}]},{"id":"fair-trade-coffee-premium","title":"Fair Trade Coffee Premium","description":"Calculate the total cost including social and organic premiums.","category":"finance","icon":"coffee","tags":["finance","eco","coffee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.155Z"},"rows":[{"text":"coffee_price_per_lb = 15 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"fair_trade_social_premium_per_lb = 0.20 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"organic_premium_per_lb = 0.30 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"@hero total_fair_trade_organic_price = coffee_price_per_lb + fair_trade_social_premium_per_lb + organic_premium_per_lb // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":15.5,"display":"15.5"},{"text":"percentage_premium = (fair_trade_social_premium_per_lb + organic_premium_per_lb) / coffee_price_per_lb * 100 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":3.333333333333334,"display":"3.3333"}]},{"id":"fan-laws-performance-scaling","title":"Fan Laws Performance Scaling","description":"Predict fan performance changes with RPM shifts.","category":"engineering","icon":"fan","tags":["engineering","mechanical","fluids"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.156Z"},"rows":[{"text":"initial_rpm = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"new_rpm = 1500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"initial_cfm = 100 // cubic feet per minute","label":null,"prefix":null,"suffix":"cubic feet per minute","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero new_cfm = initial_cfm * (new_rpm / initial_rpm) // cfm","label":null,"prefix":null,"suffix":"cfm","section":null,"hidden":false,"hero":true,"slider":null,"value":150,"display":"150"},{"text":"initial_static_pressure = 1 // in H2O","label":null,"prefix":null,"suffix":"in H2O","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"new_static_pressure = initial_static_pressure * ((new_rpm / initial_rpm)^2) // in H2O","label":null,"prefix":null,"suffix":"in H2O","section":null,"hidden":false,"hero":false,"slider":null,"value":2.25,"display":"2.25"},{"text":"initial_power_watts = 10 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"new_power_watts = initial_power_watts * ((new_rpm / initial_rpm)^3) // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":33.75,"display":"33.75"}]},{"id":"fantasy-football-expected-points","title":"Fantasy Football Expected Points","description":"Calculate fantasy football points for a player from passing, rushing, and receiving stats.","category":"math","icon":"infinity","tags":["football","points","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.156Z"},"rows":[{"text":"# Passing","label":null,"prefix":null,"suffix":null,"section":"Passing","hero":false,"slider":null,"value":null,"display":null},{"text":"passing yards = 250","label":null,"prefix":null,"suffix":null,"section":"Passing","hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"passing touchdowns = 2","label":null,"prefix":null,"suffix":null,"section":"Passing","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"interceptions = 1","label":null,"prefix":null,"suffix":null,"section":"Passing","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Rushing/Receiving","label":null,"prefix":null,"suffix":null,"section":"Rushing/Receiving","hero":false,"slider":null,"value":null,"display":null},{"text":"rushing yards = 40","label":null,"prefix":null,"suffix":null,"section":"Rushing/Receiving","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"receiving yards = 20","label":null,"prefix":null,"suffix":null,"section":"Rushing/Receiving","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"receptions = 5 // PPR league","label":null,"prefix":null,"suffix":"PPR league","section":"Rushing/Receiving","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total touchdowns = 1","label":null,"prefix":null,"suffix":null,"section":"Rushing/Receiving","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"points = (passing yards * 0.04) + (passing touchdowns * 4) - (interceptions * 2) + (rushing yards * 0.1) + (receiving yards * 0.1) + (receptions * 1) + (total touchdowns * 6)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":33,"display":"33"}]},{"id":"fcpa-compliance-risk-score","title":"FCPA Risk Score","description":"Measure risk levels related to the Foreign Corrupt Practices Act.","category":"other","icon":"globe","tags":["compliance","risk"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.156Z"},"rows":[{"text":"foreignOfficialInteractionFrequency = 8 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"thirdPartyAgentUsage = 6 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"localCorruptionIndex = 5 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"fcpaRisk = (foreignOfficialInteractionFrequency + thirdPartyAgentUsage + localCorruptionIndex) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6.333333333333333,"display":"6.3333"}]},{"id":"fence-calculator","title":"Fence Calculator","description":"Estimate posts, pickets, and material costs for your fence project.","category":"construction","icon":"fence","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.156Z"},"rows":[{"text":"# Project","label":null,"prefix":null,"suffix":null,"section":"Project","hero":false,"slider":null,"value":null,"display":null},{"text":"total fence length = 150 // ft 10..1k by 5","label":null,"prefix":null,"suffix":"ft","section":"Project","hidden":false,"hero":false,"slider":{"min":10,"max":1000,"step":5},"value":150,"display":"150"},{"text":"fence height = 6 // ft 3..10","label":null,"prefix":null,"suffix":"ft","section":"Project","hidden":false,"hero":false,"slider":{"min":3,"max":10,"step":0.1},"value":6,"display":"6"},{"text":"post spacing = 8 // ft 4..12","label":null,"prefix":null,"suffix":"ft","section":"Project","hidden":false,"hero":false,"slider":{"min":4,"max":12,"step":0.1},"value":8,"display":"8"},{"text":"number of gates = 1 // 0..5","label":null,"prefix":null,"suffix":null,"section":"Project","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.05},"value":1,"display":"1"},{"text":"gate width = 4 // ft 3..16","label":null,"prefix":null,"suffix":"ft","section":"Project","hidden":false,"hero":false,"slider":{"min":3,"max":16,"step":0.2},"value":4,"display":"4"},{"text":"# Posts","label":null,"prefix":null,"suffix":null,"section":"Posts","hero":false,"slider":null,"value":null,"display":null},{"text":"fence run = total_fence_length - (number_of_gates * gate_width)","label":null,"prefix":null,"suffix":null,"section":"Posts","hidden":false,"hero":false,"slider":null,"value":146,"display":"146"},{"text":"posts needed = roundup(fence_run / post_spacing) + 1 + (number_of_gates * 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Posts","hidden":false,"hero":true,"slider":null,"value":22,"display":"22"},{"text":"post depth = 2 // ft 1..4 by 0.5","label":null,"prefix":null,"suffix":"ft","section":"Posts","hidden":false,"hero":false,"slider":{"min":1,"max":4,"step":0.5},"value":2,"display":"2"},{"text":"total post length = fence_height + post_depth // ft","label":null,"prefix":null,"suffix":"ft","section":"Posts","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"# Pickets","label":null,"prefix":null,"suffix":null,"section":"Pickets","hero":false,"slider":null,"value":null,"display":null},{"text":"picket width = 3.5 // in 1..8 by 0.5","label":null,"prefix":null,"suffix":"in","section":"Pickets","hidden":false,"hero":false,"slider":{"min":1,"max":8,"step":0.5},"value":3.5,"display":"3.5"},{"text":"gap between pickets = 0 // in 0..4 by 0.25","label":null,"prefix":null,"suffix":"in","section":"Pickets","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.25},"value":0,"display":"0"},{"text":"pickets per foot = 12 / (picket_width + gap_between_pickets)","label":null,"prefix":null,"suffix":null,"section":"Pickets","hidden":false,"hero":false,"slider":null,"value":3.4285714285714284,"display":"3.4286"},{"text":"total pickets = roundup(fence_run * pickets_per_foot)","label":null,"prefix":null,"suffix":null,"section":"Pickets","hidden":false,"hero":false,"slider":null,"value":501,"display":"501"},{"text":"# Cost Estimate","label":null,"prefix":null,"suffix":null,"section":"Cost Estimate","hero":false,"slider":null,"value":null,"display":null},{"text":"$cost per post = 12 // 5..50","label":null,"prefix":"$","suffix":null,"section":"Cost Estimate","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":1},"value":12,"display":"$12.00"},{"text":"$cost per picket = 2.50 // 0.5..10 by 0.25","label":null,"prefix":"$","suffix":null,"section":"Cost Estimate","hidden":false,"hero":false,"slider":{"min":0.5,"max":10,"step":0.25},"value":2.5,"display":"$2.50"},{"text":"$total material cost = (posts_needed * cost_per_post) + (total_pickets * cost_per_picket)","label":null,"prefix":"$","suffix":null,"section":"Cost Estimate","hidden":false,"hero":false,"slider":null,"value":1516.5,"display":"$1,516.50"}]},{"id":"fence-post-hole-depth","title":"Fence Post Hole Depth","description":"Estimate post hole depth based on above-ground height.","category":"construction","icon":"fence","tags":["construction","garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.156Z"},"rows":[{"text":"above_ground_height_feet = 6 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"soil_condition_factor = 3 // 1/3 of total length in ground is rule of thumb","label":null,"prefix":null,"suffix":"1/3 of total length in ground is rule of thumb","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"@hero hole_depth_feet = above_ground_height_feet / 2 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":true,"slider":null,"value":3,"display":"3"},{"text":"total_post_length = above_ground_height_feet + hole_depth_feet // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"}]},{"id":"fertilizer-application-rate","title":"Fertilizer Application Rate","description":"Calculate total fertilizer needed based on nitrogen targets.","category":"everyday","icon":"sprout","tags":["garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"nitrogen_target = 0.5 // kg per 100m²","label":null,"prefix":null,"suffix":"kg per 100m²","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"nitrogen_in_fertilizer = 20 // %","label":null,"prefix":null,"suffix":"%","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"area = 500 // m²","label":null,"prefix":null,"suffix":"m²","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"nitrogen_needed = (nitrogen_target / 100) * area // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"@hero fertilizer_weight = nitrogen_needed / (nitrogen_in_fertilizer / 100) // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":12.5,"display":"12.5"}]},{"id":"fertilizer-npk-ratio-mixer","title":"Fertilizer Npk Ratio Mixer","description":"Calculate nitrogen, phosphorus, and potassium weights from fertilizer NPK ratio.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.157Z"},"rows":[{"text":"fertilizer_weight_pounds = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"nitrogen_percentage = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"phosphorus_percentage = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"potassium_percentage = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"nitrogen_weight = fertilizer_weight_pounds * (nitrogen_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"phosphorus_weight = fertilizer_weight_pounds * (phosphorus_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.5,"display":"7.5"},{"text":"potassium_weight = fertilizer_weight_pounds * (potassium_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"}]},{"id":"fibonacci-nth-term","title":"Fibonacci nth Term","description":"Find the nth Fibonacci number (F₁=1, F₂=1, Fₙ=Fₙ₋₁+Fₙ₋₂).","category":"formulas","icon":"infinity","tags":["number-theory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.157Z"},"rows":[{"text":"# Index","label":null,"prefix":null,"suffix":null,"section":"Index","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 10 // 0..50","label":null,"prefix":null,"suffix":null,"section":"Index","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":10,"display":"10"},{"text":"# Fibonacci number","label":null,"prefix":null,"suffix":null,"section":"Fibonacci number","hero":false,"slider":null,"value":null,"display":null},{"text":"result = fibonacci(n) // @label(Fₙ)","label":"Fₙ","prefix":null,"suffix":null,"section":"Fibonacci number","hidden":false,"hero":true,"slider":null,"value":55,"display":"55"}]},{"id":"financial-leverage-degree","title":"Financial Leverage Degree","description":"Calculate the degree of financial leverage from operating and pre-tax income.","category":"health","icon":"activity","tags":["leverage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.158Z"},"rows":[{"text":"operating_income = 400000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":400000,"display":"400,000"},{"text":"earnings_before_tax = 300000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300000,"display":"300,000"},{"text":"degree_of_financial_leverage = operating_income / earnings_before_tax","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.3333333333333333,"display":"1.3333"}]},{"id":"fire-calculator","title":"FIRE Calculator","description":"Calculate your Financial Independence, Retire Early number and timeline.","category":"finance","icon":"flame","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.158Z"},"rows":[{"text":"# Current Finances","label":null,"prefix":null,"suffix":null,"section":"Current Finances","hero":false,"slider":null,"value":null,"display":null},{"text":"annual income = $80000 // 20k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Current Finances","hidden":false,"hero":false,"slider":{"min":20000,"max":500000,"step":1000},"value":80000,"display":"$80,000.00"},{"text":"annual expenses = $45000 // 10k..300k by 1k","label":null,"prefix":"$","suffix":null,"section":"Current Finances","hidden":false,"hero":false,"slider":{"min":10000,"max":300000,"step":1000},"value":45000,"display":"$45,000.00"},{"text":"current savings = $100000 // 0..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Current Finances","hidden":false,"hero":false,"slider":{"min":0,"max":2000000,"step":5000},"value":100000,"display":"$100,000.00"},{"text":"# Assumptions","label":null,"prefix":null,"suffix":null,"section":"Assumptions","hero":false,"slider":null,"value":null,"display":null},{"text":"expected return = 7 // % 1..15","label":null,"prefix":null,"suffix":"%","section":"Assumptions","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.2},"value":7,"display":"7"},{"text":"safe withdrawal rate = 4 // % 2..6","label":null,"prefix":null,"suffix":"%","section":"Assumptions","hidden":false,"hero":false,"slider":{"min":2,"max":6,"step":0.05},"value":4,"display":"4"},{"text":"inflation rate = 2.5 // % 0..10 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Assumptions","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.5},"value":2.5,"display":"2.5"},{"text":"# Analysis","label":null,"prefix":null,"suffix":null,"section":"Analysis","hero":false,"slider":null,"value":null,"display":null},{"text":"_savings_rate = ((annual_income - annual_expenses) / annual_income) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Analysis","hidden":true,"hero":false,"slider":null,"value":43.75,"display":"43.75"},{"text":"$_annual_savings = annual_income - annual_expenses","label":null,"prefix":"$","suffix":null,"section":"Analysis","hidden":true,"hero":false,"slider":null,"value":35000,"display":"$35,000.00"},{"text":"_real_return = (expected_return - inflation_rate) / 100","label":null,"prefix":null,"suffix":null,"section":"Analysis","hidden":true,"hero":false,"slider":null,"value":0.045,"display":"0.045"},{"text":"$FIRE number = annual_expenses / (safe_withdrawal_rate / 100) // @hero @label(FIRE Number (25x Expenses))","label":"FIRE Number (25x Expenses)","prefix":"$","suffix":null,"section":"Analysis","hidden":false,"hero":true,"slider":null,"value":1125000,"display":"$1,125,000.00"},{"text":"# Timeline","label":null,"prefix":null,"suffix":null,"section":"Timeline","hero":false,"slider":null,"value":null,"display":null},{"text":"years until FIRE = round(ln((FIRE_number * real_return + annual_savings) / (current_savings * real_return + annual_savings)) / ln(1 + real_return), 1) // years","label":null,"prefix":null,"suffix":"years","section":"Timeline","hidden":false,"hero":false,"slider":null,"value":17.6,"display":"17.6"},{"text":"FIRE age = round(35 + years_until_FIRE, 1) // years old","label":null,"prefix":null,"suffix":"years old","section":"Timeline","hidden":false,"hero":false,"slider":null,"value":52.6,"display":"52.6"},{"text":"# Monthly Breakdown","label":null,"prefix":null,"suffix":null,"section":"Monthly Breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly savings = annual_savings / 12","label":null,"prefix":"$","suffix":null,"section":"Monthly Breakdown","hidden":false,"hero":false,"slider":null,"value":2916.6666666666665,"display":"$2,916.67"},{"text":"$monthly expenses at FIRE = annual_expenses / 12","label":null,"prefix":"$","suffix":null,"section":"Monthly Breakdown","hidden":false,"hero":false,"slider":null,"value":3750,"display":"$3,750.00"}]},{"id":"fire-pit-safety-distance","title":"Fire Pit Safety Distance","description":"Calculate recommended clearance from a fire pit.","category":"everyday","icon":"flame","tags":["everyday","safety","garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.158Z"},"rows":[{"text":"flame_height_feet = 2 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"wind_speed_mph = 10 // mph","label":null,"prefix":null,"suffix":"mph","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero recommended_clearance_feet = 10 + (flame_height_feet * 2) + (wind_speed_mph / 2) // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":true,"slider":null,"value":19,"display":"19"}]},{"id":"fireplace-efficiency-loss","title":"Fireplace Efficiency Loss","description":"Estimate heat loss in BTU/hour from a fireplace chimney drawing room air.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.158Z"},"rows":[{"text":"room_temperature_fahrenheit = 70","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"outside_temperature_fahrenheit = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"chimney_flow_rate_cubic_feet_per_minute = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"temperature_difference = room_temperature_fahrenheit - outside_temperature_fahrenheit","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"heat_loss_btu_per_hour = chimney_flow_rate_cubic_feet_per_minute * 60 * 0.018 * temperature_difference","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8640,"display":"8,640"}]},{"id":"firewood-cord-volume","title":"Firewood Cord Volume","description":"Calculate how many standard cords a stacked firewood pile contains.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.159Z"},"rows":[{"text":"stack_width = 4 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"stack_height = 4 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"stack_length = 8 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"volume_cubic_feet = stack_width * stack_height * stack_length // cubic feet","label":null,"prefix":null,"suffix":"cubic feet","section":null,"hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"cord_volume_cubic_feet = 128 // standard cord is 128 cubic feet","label":null,"prefix":null,"suffix":"standard cord is 128 cubic feet","section":null,"hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"number_of_cords = volume_cubic_feet / cord_volume_cubic_feet // cords","label":null,"prefix":null,"suffix":"cords","section":null,"hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"firework-burst-radius","title":"Firework Burst Radius","description":"Estimate firework burst radius in feet from shell diameter in inches.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.159Z"},"rows":[{"text":"shell_diameter_inches = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"burst_radius_feet = shell_diameter_inches * 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":180,"display":"180"}]},{"id":"fish-tank-heater-watts","title":"Fish Tank Heater Watts","description":"Calculate required heater wattage for a fish tank from volume and temperature rise.","category":"science","icon":"fish","tags":["heater","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.159Z"},"rows":[{"text":"tank_volume_gallons = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"desired_temperature_increase_fahrenheit = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"watts_per_gallon_per_degree = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"total_heater_wattage_required = tank_volume_gallons * desired_temperature_increase_fahrenheit * watts_per_gallon_per_degree","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":150,"display":"150"}]},{"id":"fishing-line-capacity-monofill","title":"Fishing Line Capacity Monofill","description":"Estimate fishing line yardage on a spool when changing line test weight.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.159Z"},"rows":[{"text":"spool_capacity_yards_at_12lb = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"target_line_test_lb = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero estimated_capacity_yards = spool_capacity_yards_at_12lb * (12 / target_line_test_lb)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":120,"display":"120"}]},{"id":"flash-guide-number-distance","title":"Flash Guide Number Distance","description":"Calculate maximum flash distance from guide number and aperture f-stop.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.160Z"},"rows":[{"text":"guide_number_feet = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"aperture_f_stop = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"@hero max_flash_distance_feet = guide_number_feet / aperture_f_stop","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12.5,"display":"12.5"}]},{"id":"fleet-utilization-rate","title":"Fleet Utilization Rate","description":"Monitor the percentage of your fleet currently in active service.","category":"business","icon":"truck","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.160Z"},"rows":[{"text":"activeVehicles = 45 // vehicles","label":null,"prefix":null,"suffix":"vehicles","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"totalVehiclesInFleet = 50 // vehicles","label":null,"prefix":null,"suffix":"vehicles","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"utilizationRatePercent = (activeVehicles / totalVehiclesInFleet) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":90,"display":"90"}]},{"id":"flexible-spending-account-fsa-savings","title":"Flexible Spending Account Fsa Savings","description":"Calculate total FSA tax savings from federal, Social Security, and Medicare withholding.","category":"finance","icon":"dollar-sign","tags":["account","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.160Z"},"rows":[{"text":"annual_contribution = 3050","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3050,"display":"3,050"},{"text":"tax_rate = 0.22","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.22,"display":"0.22"},{"text":"social_security_rate = 0.062","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.062,"display":"0.062"},{"text":"medicare_rate = 0.0145","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0145,"display":"0.0145"},{"text":"total_tax_savings = annual_contribution * (tax_rate + social_security_rate + medicare_rate)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":904.325,"display":"904.325"}]},{"id":"flight-carbon-footprint","title":"Flight Carbon Footprint","description":"Estimate CO2 emissions for your air travel.","category":"science","icon":"plane","tags":["eco","carbon","travel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.160Z"},"rows":[{"text":"flight_distance_km = 1000 // kilometers","label":null,"prefix":null,"suffix":"kilometers","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"passengers = 1 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"emissions_per_km = 0.115 // kg CO2 per passenger km","label":null,"prefix":null,"suffix":"kg CO2 per passenger km","section":null,"hidden":false,"hero":false,"slider":null,"value":0.115,"display":"0.115"},{"text":"@hero total_carbon_emissions = flight_distance_km * passengers * emissions_per_km // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":true,"slider":null,"value":115,"display":"115"}]},{"id":"flow-state-balance","title":"Flow State Balance","description":"Calculate the challenge-to-skill balance ratio for flow state (1.0 is ideal).","category":"health","icon":"brain","tags":["flow"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.160Z"},"rows":[{"text":"challenge_level = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"skill_level = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"balance_ratio = challenge_level / skill_level","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.1428571428571428,"display":"1.1429"}]},{"id":"flsa-overtime-calculator","title":"FLSA Overtime","description":"Calculate mandatory overtime pay under the Fair Labor Standards Act.","category":"other","icon":"clock","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.161Z"},"rows":[{"text":"hourlyRate = 20 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"hoursWorked = 50 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"overtimeThreshold = 40 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"_regularPay = overtimeThreshold * hourlyRate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"_overtimeHours = hoursWorked - overtimeThreshold","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"_overtimePay = overtimeHours * (hourlyRate * 1.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"totalPay = regularPay + overtimePay","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1100,"display":"1,100"}]},{"id":"fluid-density-buoyancy","title":"Fluid Density Buoyancy","description":"Calculate buoyant force from submerged volume and fluid density.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.161Z"},"rows":[{"text":"volume_submerged = 0.5 // cubic meters","label":null,"prefix":null,"suffix":"cubic meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"fluid_density = 1000 // kg/m^3 (water)","label":null,"prefix":null,"suffix":"kg/m^3 (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"_gravity = 9.81 // m/s^2","label":null,"prefix":null,"suffix":"m/s^2","section":null,"hidden":true,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"@hero buoyant_force = fluid_density * volume_submerged * gravity // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":true,"slider":null,"value":4905,"display":"4,905"}]},{"id":"focus-session-productivity-ratio","title":"Focus Session Productivity Ratio","description":"Calculate the focus percentage of a work session given total time and distractions.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.161Z"},"rows":[{"text":"total_session_minutes = 90 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"distraction_minutes = 15 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"@hero focus_ratio = (total_session_minutes - distraction_minutes) / total_session_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.8333333333333334,"display":"0.8333"},{"text":"@hero focus_percentage = focus_ratio * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":83.33333333333334,"display":"83.3333"}]},{"id":"font-pairing-geometric-scale","title":"Font Pairing Geometric Scale","description":"Calculate heading sizes using a geometric scale (golden ratio) from a base font size.","category":"design","icon":"palette","tags":["font"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.161Z"},"rows":[{"text":"base_font_size = 16 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"scale_factor = 1.618 // golden ratio","label":null,"prefix":null,"suffix":"golden ratio","section":null,"hidden":false,"hero":false,"slider":null,"value":1.618,"display":"1.618"},{"text":"@hero heading_level_1 = base_font_size * scale_factor^3 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":67.77281651200002,"display":"67.7728"},{"text":"@hero heading_level_2 = base_font_size * scale_factor^2 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":41.886784000000006,"display":"41.8868"},{"text":"@hero heading_level_3 = base_font_size * scale_factor^1 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":25.888,"display":"25.888"}]},{"id":"font-scale","title":"Font Scale","description":"Generate a modular type scale for consistent typography.","category":"design","icon":"type","tags":["font"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.162Z"},"rows":[{"text":"# Scale Settings","label":null,"prefix":null,"suffix":null,"section":"Scale Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base size = 16 // px 8..32","label":null,"prefix":null,"suffix":"px","section":"Scale Settings","hidden":false,"hero":false,"slider":{"min":8,"max":32,"step":1},"value":16,"display":"16"},{"text":"scale ratio = 1.25 // 1.05..2","label":null,"prefix":null,"suffix":null,"section":"Scale Settings","hidden":false,"hero":false,"slider":{"min":1.05,"max":2,"step":0.01},"value":1.25,"display":"1.25"},{"text":"# Type Scale","label":null,"prefix":null,"suffix":null,"section":"Type Scale","hero":false,"slider":null,"value":null,"display":null},{"text":"xs = round(base size / scale ratio * 10) / 10 // px","label":null,"prefix":null,"suffix":"px","section":"Type Scale","hidden":false,"hero":false,"slider":null,"value":12.8,"display":"12.8"},{"text":"sm = round(base size / 1 * 10) / 10 // px @label(SM (base))","label":"SM (base)","prefix":null,"suffix":"px","section":"Type Scale","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"md = round(base size * scale ratio * 10) / 10 // px","label":null,"prefix":null,"suffix":"px","section":"Type Scale","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"lg = round(base size * scale ratio^2 * 10) / 10 // px","label":null,"prefix":null,"suffix":"px","section":"Type Scale","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"xl = round(base size * scale ratio^3 * 10) / 10 // px","label":null,"prefix":null,"suffix":"px","section":"Type Scale","hidden":false,"hero":false,"slider":null,"value":31.3,"display":"31.3"},{"text":"xxl = round(base size * scale ratio^4 * 10) / 10 // px @hero","label":null,"prefix":null,"suffix":"px","section":"Type Scale","hidden":false,"hero":true,"slider":null,"value":39.1,"display":"39.1"},{"text":"# In rem (assuming 16px root)","label":null,"prefix":null,"suffix":null,"section":"In rem (assuming 16px root)","hero":false,"slider":null,"value":null,"display":null},{"text":"md rem = round(md / 16 * 1000) / 1000 // rem","label":null,"prefix":null,"suffix":"rem","section":"In rem (assuming 16px root)","hidden":false,"hero":false,"slider":null,"value":1.25,"display":"1.25"},{"text":"lg rem = round(lg / 16 * 1000) / 1000 // rem","label":null,"prefix":null,"suffix":"rem","section":"In rem (assuming 16px root)","hidden":false,"hero":false,"slider":null,"value":1.563,"display":"1.563"},{"text":"xl rem = round(xl / 16 * 1000) / 1000 // rem","label":null,"prefix":null,"suffix":"rem","section":"In rem (assuming 16px root)","hidden":false,"hero":false,"slider":null,"value":1.956,"display":"1.956"},{"text":"xxl rem = round(xxl / 16 * 1000) / 1000 // rem","label":null,"prefix":null,"suffix":"rem","section":"In rem (assuming 16px root)","hidden":false,"hero":false,"slider":null,"value":2.444,"display":"2.444"}]},{"id":"font-size-em-to-pixel-converter","title":"Font Size Em To Pixel Converter","description":"Convert a font size from em units to pixels for a given parent size.","category":"design","icon":"palette","tags":["font","pixel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.162Z"},"rows":[{"text":"em_value = 1.5 // em","label":null,"prefix":null,"suffix":"em","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"parent_pixel_size = 16 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"@hero calculated_pixel_size = em_value * parent_pixel_size // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":24,"display":"24"}]},{"id":"food-water-footprint","title":"Food Water Footprint","description":"Calculate the water required to produce common food items.","category":"science","icon":"droplets","tags":["eco","water","food"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.162Z"},"rows":[{"text":"beef_grams = 100 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"chicken_grams = 100 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"rice_grams = 100 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"beef_water_per_gram = 15.4 // liters per gram","label":null,"prefix":null,"suffix":"liters per gram","section":null,"hidden":false,"hero":false,"slider":null,"value":15.4,"display":"15.4"},{"text":"chicken_water_per_gram = 4.3 // liters per gram","label":null,"prefix":null,"suffix":"liters per gram","section":null,"hidden":false,"hero":false,"slider":null,"value":4.3,"display":"4.3"},{"text":"rice_water_per_gram = 2.5 // liters per gram","label":null,"prefix":null,"suffix":"liters per gram","section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"beef_total_water = beef_grams * beef_water_per_gram // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":1540,"display":"1,540"},{"text":"chicken_total_water = chicken_grams * chicken_water_per_gram // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":430,"display":"430"},{"text":"rice_total_water = rice_grams * rice_water_per_gram // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"@hero total_water_footprint = beef_total_water + chicken_total_water + rice_total_water // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":2220,"display":"2,220"}]},{"id":"football-qb-rating-nfl","title":"Football QB Rating NFL","description":"Calculate NFL Quarterback Rating.","category":"health","icon":"activity","tags":["sports","football"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.162Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"completions = 20","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"attempts = 30","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"yards = 250","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"touchdowns = 2","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"interceptions = 1","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_a = ((completions / attempts) - 0.3) * 5","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.8333333333333328,"display":"1.8333"},{"text":"_b = ((yards / attempts) - 3) * 0.25","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.3333333333333335,"display":"1.3333"},{"text":"_c = (touchdowns / attempts) * 20","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.3333333333333335,"display":"1.3333"},{"text":"_d = 2.375 - ((interceptions / attempts) * 25)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.5416666666666663,"display":"1.5417"},{"text":"# Constrain to 0..2.375 (Simplified for formula)","label":null,"prefix":null,"suffix":null,"section":"Constrain to 0..2.375 (Simplified for formula)","hero":false,"slider":null,"value":null,"display":null},{"text":"qb rating = ((a + b + c + d) / 6) * 100","label":null,"prefix":null,"suffix":null,"section":"Constrain to 0..2.375 (Simplified for formula)","hidden":false,"hero":true,"slider":null,"value":100.69444444444444,"display":"100.6944"}]},{"id":"football-yardage-per-attempt","title":"Football Yardage Per Attempt","description":"Calculate yardage per pass or rush attempt.","category":"health","icon":"activity","tags":["sports","football"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.162Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"total yards = 180","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"total attempts = 25","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"yards per attempt = total yards / total attempts","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":7.2,"display":"7.2"}]},{"id":"formula-1-lap-time-delta","title":"Formula 1 Lap Time Delta","description":"Calculate lap time delta between two laps.","category":"engineering","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.163Z"},"rows":[{"text":"# Lap Times","label":null,"prefix":null,"suffix":null,"section":"Lap Times","hero":false,"slider":null,"value":null,"display":null},{"text":"lap one seconds = 92.5","label":null,"prefix":null,"suffix":null,"section":"Lap Times","hidden":false,"hero":false,"slider":null,"value":92.5,"display":"92.5"},{"text":"lap two seconds = 91.8","label":null,"prefix":null,"suffix":null,"section":"Lap Times","hidden":false,"hero":false,"slider":null,"value":91.8,"display":"91.8"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"lap time delta = lap two seconds - lap one seconds","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":-0.7,"display":"-0.7"}]},{"id":"free-fall-velocity-with-drag","title":"Free Fall Velocity With Drag","description":"Calculate velocity during free fall with air drag using terminal velocity and tanh.","category":"science","icon":"flask-conical","tags":["drag","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.163Z"},"rows":[{"text":"object_mass_kilograms = 70","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"drag_coefficient = 1.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"projected_area_square_meters = 0.7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"air_density = 1.225","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"gravity = 9.81","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"time_seconds = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"terminal_velocity = ( (2 * object_mass_kilograms * gravity) / (air_density * projected_area_square_meters * drag_coefficient) ) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40.02040295975572,"display":"40.0204"},{"text":"exponent_value = (2 * gravity * time_seconds) / terminal_velocity","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.451249681285038,"display":"2.4512"},{"text":"e_val = 2.71828 ** exponent_value","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":11.602818380589161,"display":"11.6028"},{"text":"tanh_approx = (e_val - 1) / (e_val + 1)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.8413053382503396,"display":"0.8413"},{"text":"velocity_after_time = terminal_velocity * tanh_approx","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":33.66937864897218,"display":"33.6694"}]},{"id":"freelance-hourly-rate-target-income","title":"Freelance Hourly Rate Target Income","description":"Calculate the freelance hourly rate needed to hit a target annual income.","category":"productivity","icon":"clock","tags":["income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.163Z"},"rows":[{"text":"target_annual_income = 100000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"business_expenses_annual = 20000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":20000,"display":"20,000"},{"text":"billable_hours_per_week = 20 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"weeks_per_year = 48 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"_total_target_revenue = target_annual_income + business_expenses_annual","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":120000,"display":"120,000"},{"text":"_total_billable_hours = billable_hours_per_week * weeks_per_year","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":960,"display":"960"},{"text":"@hero required_hourly_rate = total_target_revenue / total_billable_hours // @prefix($) @suffix(/hr)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":125,"display":"125"}]},{"id":"freelance-rate","title":"Freelance Rate","description":"Calculate your required hourly rate from desired annual income.","category":"business","icon":"briefcase","tags":["income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.163Z"},"rows":[{"text":"# Income Goal","label":null,"prefix":null,"suffix":null,"section":"Income Goal","hero":false,"slider":null,"value":null,"display":null},{"text":"$desired annual income = 80000 // 30k..300k by 1k","label":null,"prefix":"$","suffix":null,"section":"Income Goal","hidden":false,"hero":false,"slider":{"min":30000,"max":300000,"step":1000},"value":80000,"display":"$80,000.00"},{"text":"$annual business expenses = 12000 // 0..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Income Goal","hidden":false,"hero":false,"slider":{"min":0,"max":100000,"step":500},"value":12000,"display":"$12,000.00"},{"text":"$self employment tax rate = 15.3 // % 0..30 by 0.1","label":null,"prefix":"$","suffix":"%","section":"Income Goal","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":0.1},"value":15.3,"display":"$15.30"},{"text":"# Availability","label":null,"prefix":null,"suffix":null,"section":"Availability","hero":false,"slider":null,"value":null,"display":null},{"text":"billable hours per week = 25 // 5..50","label":null,"prefix":null,"suffix":null,"section":"Availability","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":1},"value":25,"display":"25"},{"text":"weeks per year = 48 // 40..52","label":null,"prefix":null,"suffix":null,"section":"Availability","hidden":false,"hero":false,"slider":{"min":40,"max":52,"step":0.2},"value":48,"display":"48"},{"text":"# Required Rate","label":null,"prefix":null,"suffix":null,"section":"Required Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_needed = desired annual income + annual business expenses","label":null,"prefix":null,"suffix":null,"section":"Required Rate","hidden":true,"hero":false,"slider":null,"value":92000,"display":"92,000"},{"text":"_tax_adjusted = total_needed / (1 - self employment tax rate / 100)","label":null,"prefix":null,"suffix":null,"section":"Required Rate","hidden":true,"hero":false,"slider":null,"value":108618.65407319953,"display":"108,618.6541"},{"text":"total billable hours = billable hours per week * weeks per year","label":null,"prefix":null,"suffix":null,"section":"Required Rate","hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"$required hourly rate = round(tax_adjusted / total billable hours * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Required Rate","hidden":false,"hero":true,"slider":null,"value":90.52,"display":"$90.52"},{"text":"$required day rate = round(required hourly rate * 8 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Required Rate","hidden":false,"hero":false,"slider":null,"value":724.16,"display":"$724.16"},{"text":"$effective monthly income = round(desired annual income / 12 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Required Rate","hidden":false,"hero":false,"slider":null,"value":6666.67,"display":"$6,666.67"}]},{"id":"freezing-point-depression-colligative","title":"Freezing Point Depression Colligative","description":"Calculate freezing point depression of a solution from molality and solvent constant.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.164Z"},"rows":[{"text":"van_t_hoff_factor = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"molality = 0.5 // mol/kg","label":null,"prefix":null,"suffix":"mol/kg","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"cryoscopic_constant = 1.86 // C*kg/mol (water)","label":null,"prefix":null,"suffix":"C*kg/mol (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":1.86,"display":"1.86"},{"text":"@hero temperature_decrease = van_t_hoff_factor * cryoscopic_constant * molality // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":true,"slider":null,"value":0.93,"display":"0.93"}]},{"id":"freight-cost-as-percent-of-sales","title":"Freight Cost as % of Sales","description":"Measure total freight spend relative to your total revenue.","category":"business","icon":"percent","tags":["freight","sales"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.164Z"},"rows":[{"text":"totalFreightCosts = 25000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":25000,"display":"25,000"},{"text":"totalSalesRevenue = 500000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"freightCostSalesRatio = (totalFreightCosts / totalSalesRevenue) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"freight-shipping-density","title":"Freight Shipping Density","description":"Calculate the density of your freight for shipping class determination.","category":"business","icon":"package","tags":["freight","shipping"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.164Z"},"rows":[{"text":"weightInPounds = 500 // pounds","label":null,"prefix":null,"suffix":"pounds","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"lengthInInches = 48 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"widthInInches = 40 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"heightInInches = 48 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"_volumeInCubicFeet = (lengthInInches * widthInInches * heightInInches) / 1728","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":53.333333333333336,"display":"53.3333"},{"text":"density = weightInPounds / volumeInCubicFeet","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.375,"display":"9.375"}]},{"id":"frequency","title":"Musical Frequency","description":"Frequency from a reference pitch using 12-tone equal temperament.","category":"science","icon":"music","tags":["acoustics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.164Z"},"rows":[{"text":"# Reference Note","label":null,"prefix":null,"suffix":null,"section":"Reference Note","hero":false,"slider":null,"value":null,"display":null},{"text":"base frequency = 440 // Hz 20..20k","label":null,"prefix":null,"suffix":"Hz","section":"Reference Note","hidden":false,"hero":false,"slider":{"min":20,"max":20000,"step":200},"value":440,"display":"440"},{"text":"semitones from base = 12 // -48..48","label":null,"prefix":null,"suffix":null,"section":"Reference Note","hidden":false,"hero":false,"slider":{"min":-48,"max":48,"step":1},"value":12,"display":"12"},{"text":"# Equal Temperament","label":null,"prefix":null,"suffix":null,"section":"Equal Temperament","hero":false,"slider":null,"value":null,"display":null},{"text":"frequency = base frequency * 2^(semitones from base / 12) // Hz @hero @label(Frequency) @suffix(Hz)","label":"Frequency","prefix":null,"suffix":"Hz","section":"Equal Temperament","hidden":false,"hero":true,"slider":null,"value":880,"display":"880"},{"text":"# Octave + Cents Breakdown","label":null,"prefix":null,"suffix":null,"section":"Octave + Cents Breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"octaves up = semitones from base / 12 // @label(Octaves from base)","label":"Octaves from base","prefix":null,"suffix":null,"section":"Octave + Cents Breakdown","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"cents from base = semitones from base * 100 // ¢","label":null,"prefix":null,"suffix":"¢","section":"Octave + Cents Breakdown","hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"# Period + Wavelength","label":null,"prefix":null,"suffix":null,"section":"Period + Wavelength","hero":false,"slider":null,"value":null,"display":null},{"text":"period ms = 1000 / frequency // ms @label(Period) @suffix(ms)","label":"Period","prefix":null,"suffix":"ms","section":"Period + Wavelength","hidden":false,"hero":false,"slider":null,"value":1.1363636363636365,"display":"1.1364"},{"text":"wavelength m = 343 / frequency // m @label(Wavelength in air) @suffix(m)","label":"Wavelength in air","prefix":null,"suffix":"m","section":"Period + Wavelength","hidden":false,"hero":false,"slider":null,"value":0.38977272727272727,"display":"0.3898"}]},{"id":"friction-coefficient","title":"Friction Coefficient","description":"Calculate the coefficient of friction from friction force and normal force.","category":"other","icon":"calculator","tags":["coefficient"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.164Z"},"rows":[{"text":"# Force Details","label":null,"prefix":null,"suffix":null,"section":"Force Details","hero":false,"slider":null,"value":null,"display":null},{"text":"friction force = 25 // newtons 0..1k","label":null,"prefix":null,"suffix":"newtons","section":"Force Details","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":25,"display":"25"},{"text":"normal force = 100 // newtons 1..2k","label":null,"prefix":null,"suffix":"newtons","section":"Force Details","hidden":false,"hero":false,"slider":{"min":1,"max":2000,"step":20},"value":100,"display":"100"},{"text":"# Formula: mu = Ff / Fn","label":null,"prefix":null,"suffix":null,"section":"Formula: mu = Ff / Fn","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"coefficient of friction = friction force / normal force // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0.25,"display":"0.25"},{"text":"# Common Values","label":null,"prefix":null,"suffix":null,"section":"Common Values","hero":false,"slider":null,"value":null,"display":null},{"text":"ice on ice = 0.1","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"rubber on concrete = 0.7","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"wood on wood = 0.4","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.4,"display":"0.4"},{"text":"steel on steel = 0.6","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"teflon on steel = 0.04","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"}]},{"id":"frictional-force-coefficient-static","title":"Frictional Force Coefficient Static","description":"Calculate maximum static friction force from normal force and friction coefficient.","category":"education","icon":"book-open","tags":["coefficient"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.165Z"},"rows":[{"text":"normal_force = 100 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"coefficient_of_static_friction = 0.4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.4,"display":"0.4"},{"text":"@hero max_static_frictional_force = normal_force * coefficient_of_static_friction // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"front-end-load-impact","title":"Front End Load Impact","description":"Calculate future value after a front-end load fee on an initial investment.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.165Z"},"rows":[{"text":"investment_amount = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"front_end_load = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"annual_growth = 0.07","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.07,"display":"0.07"},{"text":"years = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"net_investment = investment_amount * (1 - front_end_load)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9500,"display":"9,500"},{"text":"future_value = net_investment * (1 + annual_growth) ** years","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":18687.93789425088,"display":"18,687.9379"}]},{"id":"fuel-burn-aviation-gph","title":"Fuel Burn Aviation Gph","description":"Calculate aviation fuel burn rate in gallons per hour from total fuel and time.","category":"other","icon":"flame","tags":["fuel","burn"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.165Z"},"rows":[{"text":"total_fuel_burned_gallons = 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"flight_duration_hours = 3.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"@hero fuel_burn_rate_gallons_per_hour = total_fuel_burned_gallons / flight_duration_hours","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12.857142857142858,"display":"12.8571"}]},{"id":"fuel-consumption-l-100km-to-mpg","title":"Fuel Consumption L 100km To MPG","description":"Convert liters per 100km to miles per gallon.","category":"conversion","icon":"settings","tags":["automotive","fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.165Z"},"rows":[{"text":"# Fuel Consumption","label":null,"prefix":null,"suffix":null,"section":"Fuel Consumption","hero":false,"slider":null,"value":null,"display":null},{"text":"liters per 100km = 10","label":null,"prefix":null,"suffix":null,"section":"Fuel Consumption","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"miles per gallon = 235.215 / liters per 100km","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":23.5215,"display":"23.5215"}]},{"id":"fuel-consumption-mpg-to-l-100km","title":"Fuel Consumption MPG To L 100km","description":"Convert miles per gallon to liters per 100km.","category":"conversion","icon":"settings","tags":["automotive","fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.166Z"},"rows":[{"text":"# Fuel Consumption","label":null,"prefix":null,"suffix":null,"section":"Fuel Consumption","hero":false,"slider":null,"value":null,"display":null},{"text":"miles per gallon = 25","label":null,"prefix":null,"suffix":null,"section":"Fuel Consumption","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"liters per 100km = 235.215 / miles per gallon","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":9.4086,"display":"9.4086"}]},{"id":"fuel-cost","title":"Fuel Cost","description":"Calculate fuel costs for trips and estimate your monthly/yearly gas budget.","category":"everyday","icon":"fuel","tags":["fuel","gas"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.166Z"},"rows":[{"text":"# Your Car","label":null,"prefix":null,"suffix":null,"section":"Your Car","hero":false,"slider":null,"value":null,"display":null},{"text":"tank size = 14 // gallons 5..40","label":null,"prefix":null,"suffix":"gallons","section":"Your Car","hidden":false,"hero":false,"slider":{"min":5,"max":40,"step":1},"value":14,"display":"14"},{"text":"fuel economy = 28 // mpg 5..60","label":null,"prefix":null,"suffix":"mpg","section":"Your Car","hidden":false,"hero":false,"slider":{"min":5,"max":60,"step":1},"value":28,"display":"28"},{"text":"gas price = $3.89 // /gal 1..10","label":null,"prefix":"$","suffix":"/gal","section":"Your Car","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":3.89,"display":"$3.89"},{"text":"# Per Tank","label":null,"prefix":null,"suffix":null,"section":"Per Tank","hero":false,"slider":null,"value":null,"display":null},{"text":"range per tank = tank_size * fuel_economy // miles @hero","label":null,"prefix":null,"suffix":"miles","section":"Per Tank","hidden":false,"hero":true,"slider":null,"value":392,"display":"392"},{"text":"$cost to fill up = tank_size * gas_price","label":null,"prefix":"$","suffix":null,"section":"Per Tank","hidden":false,"hero":false,"slider":null,"value":54.46,"display":"$54.46"},{"text":"$cost per mile = gas_price / fuel_economy // /mile","label":null,"prefix":"$","suffix":"/mile","section":"Per Tank","hidden":false,"hero":false,"slider":null,"value":0.13892857142857143,"display":"$0.14"},{"text":"# Trip Cost","label":null,"prefix":null,"suffix":null,"section":"Trip Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"trip distance = 300 // miles 10..3k by 10","label":null,"prefix":null,"suffix":"miles","section":"Trip Cost","hidden":false,"hero":false,"slider":{"min":10,"max":3000,"step":10},"value":300,"display":"300"},{"text":"gallons for trip = trip_distance / fuel_economy","label":null,"prefix":null,"suffix":null,"section":"Trip Cost","hidden":false,"hero":false,"slider":null,"value":10.714285714285714,"display":"10.7143"},{"text":"$trip fuel cost = gallons_for_trip * gas_price","label":null,"prefix":"$","suffix":null,"section":"Trip Cost","hidden":false,"hero":false,"slider":null,"value":41.67857142857143,"display":"$41.68"},{"text":"# Monthly Estimate","label":null,"prefix":null,"suffix":null,"section":"Monthly Estimate","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly driving = 1000 // miles 100..5k","label":null,"prefix":null,"suffix":"miles","section":"Monthly Estimate","hidden":false,"hero":false,"slider":{"min":100,"max":5000,"step":50},"value":1000,"display":"1,000"},{"text":"$monthly fuel cost = (monthly_driving / fuel_economy) * gas_price","label":null,"prefix":"$","suffix":null,"section":"Monthly Estimate","hidden":false,"hero":false,"slider":null,"value":138.92857142857144,"display":"$138.93"},{"text":"$yearly fuel cost = monthly_fuel_cost * 12","label":null,"prefix":"$","suffix":null,"section":"Monthly Estimate","hidden":false,"hero":false,"slider":null,"value":1667.1428571428573,"display":"$1,667.14"}]},{"id":"fuel-economy","title":"Fuel Economy by Speed","description":"MPG loss from drag at highway speeds (approximate power-law model).","category":"everyday","icon":"fuel","tags":["fuel","drag","car"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.166Z"},"rows":[{"text":"# Your Car","label":null,"prefix":null,"suffix":null,"section":"Your Car","hero":false,"slider":null,"value":null,"display":null},{"text":"peak mpg = 35 // mpg 10..80","label":null,"prefix":null,"suffix":"mpg","section":"Your Car","hidden":false,"hero":false,"slider":{"min":10,"max":80,"step":1},"value":35,"display":"35"},{"text":"peak speed = 50 // mph 30..70","label":null,"prefix":null,"suffix":"mph","section":"Your Car","hidden":false,"hero":false,"slider":{"min":30,"max":70,"step":1},"value":50,"display":"50"},{"text":"# Cruise Speed","label":null,"prefix":null,"suffix":null,"section":"Cruise Speed","hero":false,"slider":null,"value":null,"display":null},{"text":"cruise speed = 70 // mph 30..100","label":null,"prefix":null,"suffix":"mph","section":"Cruise Speed","hidden":false,"hero":false,"slider":{"min":30,"max":100,"step":1},"value":70,"display":"70"},{"text":"# Drag-Dominated Loss (above_peak)","label":null,"prefix":null,"suffix":null,"section":"Drag-Dominated Loss (above_peak)","hero":false,"slider":null,"value":null,"display":null},{"text":"_above_peak = max(cruise speed - peak speed, 0)","label":null,"prefix":null,"suffix":null,"section":"Drag-Dominated Loss (above_peak)","hidden":true,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"_loss_exponent = 1.05","label":null,"prefix":null,"suffix":null,"section":"Drag-Dominated Loss (above_peak)","hidden":true,"hero":false,"slider":null,"value":1.05,"display":"1.05"},{"text":"mpg now = round(peak mpg * (peak speed / max(cruise speed, peak speed))^loss_exponent, 1) // mpg @hero @label(MPG at cruise speed)","label":"MPG at cruise speed","prefix":null,"suffix":"mpg","section":"Drag-Dominated Loss (above_peak)","hidden":false,"hero":true,"slider":null,"value":24.6,"display":"24.6"},{"text":"# Comparison: peak vs cruise","label":null,"prefix":null,"suffix":null,"section":"Comparison: peak vs cruise","hero":false,"slider":null,"value":null,"display":null},{"text":"mpg drop = round(peak mpg - mpg now, 1) // mpg @label(MPG lost to drag)","label":"MPG lost to drag","prefix":null,"suffix":"mpg","section":"Comparison: peak vs cruise","hidden":false,"hero":false,"slider":null,"value":10.4,"display":"10.4"},{"text":"percent drop = round((1 - mpg now / peak mpg) * 100, 1) // % @label(Efficiency lost)","label":"Efficiency lost","prefix":null,"suffix":"%","section":"Comparison: peak vs cruise","hidden":false,"hero":false,"slider":null,"value":29.7,"display":"29.7"},{"text":"# Compare to 60 mph","label":null,"prefix":null,"suffix":null,"section":"Compare to 60 mph","hero":false,"slider":null,"value":null,"display":null},{"text":"mpg at 60 = round(peak mpg * (peak speed / max(60, peak speed))^loss_exponent, 1) // mpg @label(MPG at 60 mph)","label":"MPG at 60 mph","prefix":null,"suffix":"mpg","section":"Compare to 60 mph","hidden":false,"hero":false,"slider":null,"value":28.9,"display":"28.9"},{"text":"percent drop 70 vs 60 = round((1 - mpg now / mpg at 60) * 100, 1) // % @label(Drop from 60 → cruise)","label":"Drop from 60 → cruise","prefix":null,"suffix":"%","section":"Compare to 60 mph","hidden":false,"hero":false,"slider":null,"value":14.9,"display":"14.9"},{"text":"# Per 100-Mile Trip","label":null,"prefix":null,"suffix":null,"section":"Per 100-Mile Trip","hero":false,"slider":null,"value":null,"display":null},{"text":"gallons at 60 = round(100 / mpg at 60, 2) // gal @label(Gallons at 60 mph)","label":"Gallons at 60 mph","prefix":null,"suffix":"gal","section":"Per 100-Mile Trip","hidden":false,"hero":false,"slider":null,"value":3.46,"display":"3.46"},{"text":"gallons at cruise = round(100 / mpg now, 2) // gal @label(Gallons at cruise speed)","label":"Gallons at cruise speed","prefix":null,"suffix":"gal","section":"Per 100-Mile Trip","hidden":false,"hero":false,"slider":null,"value":4.07,"display":"4.07"},{"text":"extra gallons = round(gallons at cruise - gallons at 60, 2) // gal @label(Extra fuel per 100 mi)","label":"Extra fuel per 100 mi","prefix":null,"suffix":"gal","section":"Per 100-Mile Trip","hidden":false,"hero":false,"slider":null,"value":0.61,"display":"0.61"}]},{"id":"fuel-injector-sizing-calculator","title":"Fuel Injector Sizing Calculator","description":"Calculate required fuel injector size.","category":"engineering","icon":"settings","tags":["automotive","fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.166Z"},"rows":[{"text":"# Engine Power","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hero":false,"slider":null,"value":null,"display":null},{"text":"target horsepower = 400","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"cylinder count = 8","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"brake specific fuel consumption = 0.5","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"max duty cycle = 0.8","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_fuel_flow = target horsepower * brake specific fuel consumption","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"flow per injector = (total_fuel_flow / cylinder count) / max duty cycle","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":31.25,"display":"31.25"}]},{"id":"fuel-surcharge-calculation","title":"Fuel Surcharge","description":"Calculate freight fuel surcharges based on current market prices.","category":"business","icon":"fuel","tags":["fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.167Z"},"rows":[{"text":"baseFuelPrice = 3.50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"currentFuelPrice = 4.25 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":4.25,"display":"4.25"},{"text":"fuelEfficiency = 6.5 // miles per gallon","label":null,"prefix":null,"suffix":"miles per gallon","section":null,"hidden":false,"hero":false,"slider":null,"value":6.5,"display":"6.5"},{"text":"distanceDriven = 500 // miles","label":null,"prefix":null,"suffix":"miles","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"_priceDifference = currentFuelPrice - baseFuelPrice","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.75,"display":"0.75"},{"text":"totalFuelSurcharge = (distanceDriven / fuelEfficiency) * priceDifference","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":57.692307692307686,"display":"57.6923"}]},{"id":"future-value","title":"Future Value","description":"Future value of a present amount: FV = PV · (1 + r)ⁿ.","category":"formulas","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.167Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"$present_value = 5000 // 1..10M","label":null,"prefix":"$","suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":10000000,"step":100000},"value":5000,"display":"$5,000.00"},{"text":"growth_rate = 7 // % 0..50 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":0.1},"value":7,"display":"7"},{"text":"$years = 10 // 1..100","label":null,"prefix":"$","suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"$10.00"},{"text":"# Future value","label":null,"prefix":null,"suffix":null,"section":"Future value","hero":false,"slider":null,"value":null,"display":null},{"text":"$future_value = present_value * (1 + growth_rate / 100)^years","label":null,"prefix":"$","suffix":null,"section":"Future value","hidden":false,"hero":true,"slider":null,"value":9835.756786447831,"display":"$9,835.76"}]},{"id":"gacha-multi-pull-probability","title":"Gacha Multi Pull Probability","description":"Calculate the probability of at least one success in multiple gacha pulls.","category":"math","icon":"dice","tags":["gaming","gacha","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.167Z"},"rows":[{"text":"# Gacha Settings","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"total pulls = 10","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"success rate percent = 0.6 // %","label":null,"prefix":null,"suffix":"%","section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_success_rate = success rate percent / 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.006,"display":"0.006"},{"text":"_failure_rate = 1 - success_rate","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.994,"display":"0.994"},{"text":"_probability_of_no_success = failure_rate ^ total pulls","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.9415943502102122,"display":"0.9416"},{"text":"at least one success probability = (1 - probability_of_no_success) * 100 // percent","label":null,"prefix":null,"suffix":"percent","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5.84056497897878,"display":"5.8406"}]},{"id":"gacha-pity-counter-probability","title":"Gacha Pity Counter Probability","description":"Calculate the probability of success as you approach a gacha pity limit.","category":"math","icon":"dice","tags":["gaming","gacha","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.167Z"},"rows":[{"text":"# Pity Settings","label":null,"prefix":null,"suffix":null,"section":"Pity Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current pulls = 75","label":null,"prefix":null,"suffix":null,"section":"Pity Settings","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"pity threshold = 90","label":null,"prefix":null,"suffix":null,"section":"Pity Settings","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"base success rate percent = 0.6 // %","label":null,"prefix":null,"suffix":"%","section":"Pity Settings","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_pulls_remaining = pity threshold - current pulls","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"_pity_factor = (current pulls / pity threshold) * 10","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":8.333333333333334,"display":"8.3333"},{"text":"adjusted success rate percent = base success rate percent + pity_factor","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":8.933333333333334,"display":"8.9333"}]},{"id":"gacha-single-pull-probability","title":"Gacha Single Pull Probability","description":"Calculate the probability of success in a single gacha pull.","category":"math","icon":"dice","tags":["gaming","gacha","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.168Z"},"rows":[{"text":"# Gacha Settings","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"pulls = 1","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"success rate percent = 0.6 // %","label":null,"prefix":null,"suffix":"%","section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_success_rate = success rate percent / 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.006,"display":"0.006"},{"text":"probability = success_rate * pulls","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.006,"display":"0.006"}]},{"id":"galactic-rotation-speed","title":"Galactic Rotation Speed","description":"Calculate galactic rotation velocity from distance from center and enclosed mass.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.168Z"},"rows":[{"text":"distance_from_center_lightyears = 26000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":26000,"display":"26,000"},{"text":"mass_inside_solar_masses = 1e11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000000000,"display":"100,000,000,000"},{"text":"gravitational_constant = 4.302e-3 // pc * (km/s)^2 / M_sun","label":null,"prefix":null,"suffix":"pc * (km/s)^2 / M_sun","section":null,"hidden":false,"hero":false,"slider":null,"value":0.004302,"display":"0.004302"},{"text":"velocity_km_s = sqrt(gravitational_constant * mass_inside_solar_masses / (distance_from_center_lightyears / 3.26))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":232.25085906937252,"display":"232.2509"}]},{"id":"garden-path-paver-count","title":"Garden Path Paver Count","description":"Calculate pavers needed for a path, including joint width.","category":"construction","icon":"layout","tags":["construction","garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.168Z"},"rows":[{"text":"path_length_meters = 15 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"path_width_meters = 0.9 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.9,"display":"0.9"},{"text":"paver_length_cm = 30 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"paver_width_cm = 30 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"joint_width_mm = 5 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"effective_paver_length_m = (paver_length_cm + joint_width_mm / 10) / 100 // m","label":null,"prefix":null,"suffix":"m","section":null,"hidden":false,"hero":false,"slider":null,"value":0.305,"display":"0.305"},{"text":"effective_paver_width_m = (paver_width_cm + joint_width_mm / 10) / 100 // m","label":null,"prefix":null,"suffix":"m","section":null,"hidden":false,"hero":false,"slider":null,"value":0.305,"display":"0.305"},{"text":"@hero total_pavers_needed = ceil((path_length_meters / effective_paver_length_m) * (path_width_meters / effective_paver_width_m))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":146,"display":"146"}]},{"id":"gas-cost","title":"Gas Cost","description":"Calculate fuel cost for a road trip.","category":"everyday","icon":"fuel","tags":["gas","fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.168Z"},"rows":[{"text":"# Trip Details","label":null,"prefix":null,"suffix":null,"section":"Trip Details","hero":false,"slider":null,"value":null,"display":null},{"text":"trip distance = 350 // miles 10..5k by 10","label":null,"prefix":null,"suffix":"miles","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":10},"value":350,"display":"350"},{"text":"fuel economy = 28 // mpg 10..60","label":null,"prefix":null,"suffix":"mpg","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":10,"max":60,"step":1},"value":28,"display":"28"},{"text":"gas price = $3.89 // /gal 1..8","label":null,"prefix":"$","suffix":"/gal","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":1,"max":8,"step":0.1},"value":3.89,"display":"$3.89"},{"text":"# Fuel Needed","label":null,"prefix":null,"suffix":null,"section":"Fuel Needed","hero":false,"slider":null,"value":null,"display":null},{"text":"gallons needed = round(trip distance / fuel economy * 10) / 10","label":null,"prefix":null,"suffix":null,"section":"Fuel Needed","hidden":false,"hero":false,"slider":null,"value":12.5,"display":"12.5"},{"text":"$total gas cost = round(gallons needed * gas price * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Fuel Needed","hidden":false,"hero":true,"slider":null,"value":48.63,"display":"$48.63"},{"text":"$cost per mile = round(gas price / fuel economy * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Fuel Needed","hidden":false,"hero":false,"slider":null,"value":0.14,"display":"$0.14"},{"text":"# Round Trip","label":null,"prefix":null,"suffix":null,"section":"Round Trip","hero":false,"slider":null,"value":null,"display":null},{"text":"round trip distance = trip distance * 2 // miles","label":null,"prefix":null,"suffix":"miles","section":"Round Trip","hidden":false,"hero":false,"slider":null,"value":700,"display":"700"},{"text":"round trip gallons = round(round trip distance / fuel economy * 10) / 10","label":null,"prefix":null,"suffix":null,"section":"Round Trip","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"$round trip cost = round(round trip gallons * gas price * 100) / 100 // @label(Round Trip Gas Cost)","label":"Round Trip Gas Cost","prefix":"$","suffix":null,"section":"Round Trip","hidden":false,"hero":false,"slider":null,"value":97.25,"display":"$97.25"}]},{"id":"gas-pressure-altitude-correction","title":"Gas Pressure Altitude Correction","description":"Calculate atmospheric pressure at altitude using the barometric formula.","category":"education","icon":"book-open","tags":["gas","altitude"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.169Z"},"rows":[{"text":"pressure_sea_level = 1013.25 // hPa","label":null,"prefix":null,"suffix":"hPa","section":null,"hidden":false,"hero":false,"slider":null,"value":1013.25,"display":"1,013.25"},{"text":"altitude = 1000 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"_scale_height = 8500 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":true,"hero":false,"slider":null,"value":8500,"display":"8,500"},{"text":"@hero pressure_at_altitude = pressure_sea_level * exp(-altitude / scale_height) // hPa","label":null,"prefix":null,"suffix":"hPa","section":null,"hidden":false,"hero":true,"slider":null,"value":900.7891447943624,"display":"900.7891"}]},{"id":"gay-lussacs-law-pressure-temperature","title":"Gay Lussacs Law Pressure Temperature","description":"Calculate final gas pressure after a temperature change at constant volume.","category":"education","icon":"book-open","tags":["temperature"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.169Z"},"rows":[{"text":"pressure_initial = 100 // kPa","label":null,"prefix":null,"suffix":"kPa","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"temperature_initial_celsius = 20 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"temperature_final_celsius = 80 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"_t1_kelvin = temperature_initial_celsius + 273.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":293.15,"display":"293.15"},{"text":"_t2_kelvin = temperature_final_celsius + 273.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":353.15,"display":"353.15"},{"text":"@hero pressure_final = pressure_initial * (t2_kelvin / t1_kelvin) // kPa","label":null,"prefix":null,"suffix":"kPa","section":null,"hidden":false,"hero":true,"slider":null,"value":120.46733754050827,"display":"120.4673"}]},{"id":"gcd-greatest-common-divisor","title":"GCD (Greatest Common Divisor)","description":"Find the greatest common divisor of two integers.","category":"formulas","icon":"sigma","tags":["number-theory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.169Z"},"rows":[{"text":"# Two integers","label":null,"prefix":null,"suffix":null,"section":"Two integers","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 48 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Two integers","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":48,"display":"48"},{"text":"b = 18 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Two integers","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":18,"display":"18"},{"text":"# GCD","label":null,"prefix":null,"suffix":null,"section":"GCD","hero":false,"slider":null,"value":null,"display":null},{"text":"result = gcd(a, b) // @label(GCD)","label":"GCD","prefix":null,"suffix":null,"section":"GCD","hidden":false,"hero":true,"slider":null,"value":6,"display":"6"}]},{"id":"gdpr-data-breach-fine-estimator","title":"GDPR Fine Estimator","description":"Estimate hypothetical GDPR fines based on company revenue.","category":"other","icon":"shield-alert","tags":["breach"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.169Z"},"rows":[{"text":"annualRevenue = 100000000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000000,"display":"100,000,000"},{"text":"severityFactor = 2 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"estimatedFine = annualRevenue * (severityFactor / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2000000,"display":"2,000,000"}]},{"id":"gear-ratio-speed-rpm","title":"Gear Ratio Speed RPM","description":"Calculate vehicle speed from RPM and gear ratios.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.170Z"},"rows":[{"text":"# Transmission Stats","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"engine rpm = 3000","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"gear ratio = 1.5","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"final drive ratio = 3.73","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":3.73,"display":"3.73"},{"text":"tire diameter inches = 26","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":26,"display":"26"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_gear_reduction = gear ratio * final drive ratio","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":5.595,"display":"5.595"},{"text":"_wheel_rpm = engine rpm / total_gear_reduction","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":536.1930294906166,"display":"536.193"},{"text":"_wheel_circumference_inches = pi * tire diameter inches","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":81.68140899333463,"display":"81.6814"},{"text":"_inches_per_minute = wheel_rpm * wheel_circumference_inches","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":43797.00214119819,"display":"43,797.0021"},{"text":"miles per hour = (inches_per_minute * 60) / 63360","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":41.47443384583162,"display":"41.4744"}]},{"id":"gear-ratio","title":"Gear Ratio","description":"Compute gear ratios, output speed, torque multiplication, and power transfer.","category":"engineering","icon":"cog","tags":["mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.170Z"},"rows":[{"text":"# Gear Setup","label":null,"prefix":null,"suffix":null,"section":"Gear Setup","hero":false,"slider":null,"value":null,"display":null},{"text":"driving gear teeth = 20 // 8..100","label":null,"prefix":null,"suffix":null,"section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":8,"max":100,"step":1},"value":20,"display":"20"},{"text":"driven gear teeth = 60 // 8..200","label":null,"prefix":null,"suffix":null,"section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":8,"max":200,"step":1},"value":60,"display":"60"},{"text":"input speed = 1800 // RPM 100..10k","label":null,"prefix":null,"suffix":"RPM","section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":100,"max":10000,"step":100},"value":1800,"display":"1,800"},{"text":"input torque = 50 // Nm 1..500","label":null,"prefix":null,"suffix":"Nm","section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":50,"display":"50"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"gear ratio = driven_gear_teeth / driving_gear_teeth // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"},{"text":"output speed = input_speed / gear_ratio // RPM","label":null,"prefix":null,"suffix":"RPM","section":"Results","hidden":false,"hero":false,"slider":null,"value":600,"display":"600"},{"text":"mechanical advantage = gear_ratio","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Power","label":null,"prefix":null,"suffix":null,"section":"Power","hero":false,"slider":null,"value":null,"display":null},{"text":"efficiency = 95 // % 50..100","label":null,"prefix":null,"suffix":"%","section":"Power","hidden":false,"hero":false,"slider":{"min":50,"max":100,"step":1},"value":95,"display":"95"},{"text":"output torque = input_torque * gear_ratio * efficiency / 100 // Nm","label":null,"prefix":null,"suffix":"Nm","section":"Power","hidden":false,"hero":false,"slider":null,"value":142.5,"display":"142.5"},{"text":"input power = input_torque * input_speed * 2 * PI / 60 // W","label":null,"prefix":null,"suffix":"W","section":"Power","hidden":false,"hero":false,"slider":null,"value":9424.77796076938,"display":"9,424.778"},{"text":"output power = input_power * efficiency / 100 // W","label":null,"prefix":null,"suffix":"W","section":"Power","hidden":false,"hero":false,"slider":null,"value":8953.539062730912,"display":"8,953.5391"}]},{"id":"gear-tooth-bending-stress-lewis","title":"Gear Tooth Bending Stress","description":"Estimate gear tooth stress using the Lewis formula.","category":"engineering","icon":"settings","tags":["engineering","mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.170Z"},"rows":[{"text":"tangential_force_lbs = 500 // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"diametral_pitch = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"face_width_inches = 1.5 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"lewis_form_factor = 0.3 // for 20 deg pressure angle, 20 teeth","label":null,"prefix":null,"suffix":"for 20 deg pressure angle, 20 teeth","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"@hero bending_stress_psi = (tangential_force_lbs * diametral_pitch) / (face_width_inches * lewis_form_factor) // psi","label":null,"prefix":null,"suffix":"psi","section":null,"hidden":false,"hero":true,"slider":null,"value":11111.111111111111,"display":"11,111.1111"}]},{"id":"geometric-sequence-nth-term","title":"Geometric Sequence nth Term","description":"Find the nth term of a geometric sequence: aₙ = a₁ · r^(n−1).","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.171Z"},"rows":[{"text":"# Sequence parameters","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"a1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"r = 3 // -10..10 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":0.1},"value":3,"display":"3"},{"text":"n = 6 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":6,"display":"6"},{"text":"# nth term","label":null,"prefix":null,"suffix":null,"section":"nth term","hero":false,"slider":null,"value":null,"display":null},{"text":"an = a1 * r^(n - 1) // @label(aₙ)","label":"aₙ","prefix":null,"suffix":null,"section":"nth term","hidden":false,"hero":true,"slider":null,"value":486,"display":"486"}]},{"id":"geometric-series-sum","title":"Geometric Series Sum","description":"Sum the first n terms of a geometric sequence: Sₙ = a₁·(1−rⁿ)/(1−r).","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.171Z"},"rows":[{"text":"# Sequence parameters","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"a1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"r = 3 // -10..10 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":0.1},"value":3,"display":"3"},{"text":"n = 6 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Sequence parameters","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":6,"display":"6"},{"text":"# Sum of first n terms","label":null,"prefix":null,"suffix":null,"section":"Sum of first n terms","hero":false,"slider":null,"value":null,"display":null},{"text":"sum_n = a1 * (1 - r^n) / (1 - r) // @label(Sₙ)","label":"Sₙ","prefix":null,"suffix":null,"section":"Sum of first n terms","hidden":false,"hero":true,"slider":null,"value":728,"display":"728"}]},{"id":"geothermal-heating-cop","title":"Geothermal Heating COP","description":"Calculate the coefficient of performance for geothermal systems.","category":"engineering","icon":"thermometer","tags":["engineering"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.172Z"},"rows":[{"text":"heat_energy_output_kwh = 400 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"electrical_energy_input_kwh = 100 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero coefficient_of_performance = heat_energy_output_kwh / electrical_energy_input_kwh","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"gift-exchange-pairing-odds","title":"Gift Exchange Pairing Odds","description":"Calculate probabilities for picking specific people in a Secret Santa exchange.","category":"other","icon":"gift","tags":["gift","odds"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.172Z"},"rows":[{"text":"# Group Size","label":null,"prefix":null,"suffix":null,"section":"Group Size","hero":false,"slider":null,"value":null,"display":null},{"text":"number of people = 10 // n","label":null,"prefix":null,"suffix":"n","section":"Group Size","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"prob of picking self = (1 / number of people) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":10,"display":"10"},{"text":"prob of picking specific person = (1 / (number of people - 1)) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":11.11111111111111,"display":"11.1111"},{"text":"prob of no one picking self = exp(-1) * 100 // @hero @suffix(%) @note(approx for large n)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":36.787944117144235,"display":"36.7879"}]},{"id":"gift-tax-calculator","title":"Gift Tax Calculator","description":"Estimate gift tax owed after annual exclusion and lifetime exclusion remaining.","category":"finance","icon":"gift","tags":["gift","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.172Z"},"rows":[{"text":"# Gift Details","label":null,"prefix":null,"suffix":null,"section":"Gift Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$gift amount = 25000 // 1k..1M","label":null,"prefix":"$","suffix":null,"section":"Gift Details","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000,"step":10000},"value":25000,"display":"$25,000.00"},{"text":"$annual exclusion per person = 18000 // 2024 limit 0..25000 by 1000","label":null,"prefix":"$","suffix":"2024 limit","section":"Gift Details","hidden":false,"hero":false,"slider":{"min":0,"max":25000,"step":1000},"value":18000,"display":"$18,000.00"},{"text":"$lifetime exclusion remaining = 13610000 // 0..13610k","label":null,"prefix":"$","suffix":null,"section":"Gift Details","hidden":false,"hero":false,"slider":{"min":0,"max":13610000,"step":200000},"value":13610000,"display":"$13,610,000.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_taxable_gift_amount = if(gift amount > annual exclusion per person, gift amount - annual exclusion per person, 0)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":7000,"display":"$7,000.00"},{"text":"$_impact_on_lifetime_exclusion = if(taxable_gift_amount > lifetime exclusion remaining, lifetime exclusion remaining, taxable_gift_amount)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":7000,"display":"$7,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated gift tax out of pocket = if(taxable_gift_amount > lifetime exclusion remaining, (taxable_gift_amount - lifetime exclusion remaining) * 0.40, 0) // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0,"display":"$0.00"},{"text":"$remaining lifetime exclusion = if(lifetime exclusion remaining > taxable_gift_amount, lifetime exclusion remaining - taxable_gift_amount, 0)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":13603000,"display":"$13,603,000.00"},{"text":"$non taxable portion = gift amount - estimated gift tax out of pocket","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":25000,"display":"$25,000.00"}]},{"id":"gift-tax-lifetime-exclusion","title":"Gift Tax Lifetime Exclusion","description":"Calculate remaining lifetime gift tax exclusion from gifts already given.","category":"finance","icon":"gift","tags":["gift","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.173Z"},"rows":[{"text":"total_gifts_given = 500000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"lifetime_exclusion_limit = 12920000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12920000,"display":"12,920,000"},{"text":"remaining_exclusion = lifetime_exclusion_limit - total_gifts_given","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12420000,"display":"12,420,000"}]},{"id":"glicko-2-rating-step","title":"Glicko 2 Rating Step","description":"Calculate a single Glicko-2 rating update step after a chess or game result.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.173Z"},"rows":[{"text":"# Current Stats","label":null,"prefix":null,"suffix":null,"section":"Current Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"rating = 1500","label":null,"prefix":null,"suffix":null,"section":"Current Stats","hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"rating deviation = 200 // RD","label":null,"prefix":null,"suffix":"RD","section":"Current Stats","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"volatility = 0.06","label":null,"prefix":null,"suffix":null,"section":"Current Stats","hidden":false,"hero":false,"slider":null,"value":0.06,"display":"0.06"},{"text":"# Game Result","label":null,"prefix":null,"suffix":null,"section":"Game Result","hero":false,"slider":null,"value":null,"display":null},{"text":"opponent rating = 1500","label":null,"prefix":null,"suffix":null,"section":"Game Result","hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"opponent rd = 30","label":null,"prefix":null,"suffix":null,"section":"Game Result","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"outcome = 1 // win","label":null,"prefix":null,"suffix":"win","section":"Game Result","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Simplified Step","label":null,"prefix":null,"suffix":null,"section":"Simplified Step","hero":false,"slider":null,"value":null,"display":null},{"text":"_g = 1 / sqrt(1 + 3 * (opponent rd / pi)^2)","label":null,"prefix":null,"suffix":null,"section":"Simplified Step","hidden":true,"hero":false,"slider":null,"value":0.0603497778616256,"display":"0.0603"},{"text":"_e = 1 / (1 + exp(-g * (rating - opponent rating)))","label":null,"prefix":null,"suffix":null,"section":"Simplified Step","hidden":true,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"new rating = rating + (1 / (1/rating deviation^2 + 1/(1/(g^2 * e * (1-e))))) * g * (outcome - e)","label":null,"prefix":null,"suffix":null,"section":"Simplified Step","hidden":false,"hero":true,"slider":null,"value":1532.2545348351184,"display":"1,532.2545"}]},{"id":"glide-ratio-aircraft","title":"Glide Ratio Aircraft","description":"Calculate an aircraft's glide ratio from altitude lost and distance traveled.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.174Z"},"rows":[{"text":"altitude_lost_feet = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"distance_traveled_feet = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"@hero glide_ratio = distance_traveled_feet / altitude_lost_feet","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"global-time-zone-offset","title":"Global Time Zone Offset","description":"Convert UTC time to local time using a timezone offset.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.174Z"},"rows":[{"text":"current_hour_utc = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"offset_hours = -5 // EST","label":null,"prefix":null,"suffix":"EST","section":null,"hidden":false,"hero":false,"slider":null,"value":-5,"display":"-5"},{"text":"local_hour = (current_hour_utc + offset_hours) % 24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"goal-achievement-probability-estimate","title":"Goal Achievement Probability Estimate","description":"Estimate goal success probability from resources, time, and complexity penalty.","category":"productivity","icon":"clock","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.174Z"},"rows":[{"text":"resources_available_percent = 80 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"time_allocated_percent = 70 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"complexity_penalty_percent = 30 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero success_probability = (resources_available_percent * 0.4 + time_allocated_percent * 0.4 - complexity_penalty_percent * 0.2) // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":54,"display":"54"}]},{"id":"goat-milk-yield-estimate","title":"Goat Milk Yield Estimate","description":"Estimate total goat milk yield in gallons over a lactation period.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.175Z"},"rows":[{"text":"number_of_goats = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"days_in_lactation = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"average_daily_yield_quarts = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"@hero total_yield_gallons = (number_of_goats * average_daily_yield_quarts * days_in_lactation) / 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":150,"display":"150"}]},{"id":"gold-gain-multiplier","title":"Gold Gain Multiplier","description":"Calculate total gold gain with bonuses.","category":"math","icon":"dollar-sign","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.175Z"},"rows":[{"text":"# Gold Settings","label":null,"prefix":null,"suffix":null,"section":"Gold Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base gold = 200","label":null,"prefix":null,"suffix":null,"section":"Gold Settings","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"gold find percent = 120 // %","label":null,"prefix":null,"suffix":"%","section":"Gold Settings","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"final gold = base gold * (1 + (gold find percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":440,"display":"440"}]},{"id":"gold-price-by-weight","title":"Gold Price By Weight","description":"Calculate the value of gold from weight in grams and price per ounce.","category":"finance","icon":"tag","tags":["price","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.175Z"},"rows":[{"text":"current_gold_price_per_ounce = 2000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"gold_weight_grams = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"grams_per_ounce = 31.1035","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":31.1035,"display":"31.1035"},{"text":"total_gold_value = (gold_weight_grams / grams_per_ounce) * current_gold_price_per_ounce","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":643.0144517498031,"display":"643.0145"}]},{"id":"golden-ratio-ui-layout","title":"Golden Ratio Ui Layout","description":"Split a UI width into main content and sidebar using the golden ratio.","category":"design","icon":"palette","tags":["layout"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.176Z"},"rows":[{"text":"total_width = 1200 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"phi = 1.618","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.618,"display":"1.618"},{"text":"@hero main_content_width = total_width / phi // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":741.6563658838072,"display":"741.6564"},{"text":"@hero sidebar_width = total_width - main_content_width // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":458.3436341161928,"display":"458.3436"}]},{"id":"golden-ratio","title":"Golden Ratio","description":"Compute φ, Fibonacci ratios, and compare against the rule of thirds.","category":"design","icon":"function","tags":["math","design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.176Z"},"rows":[{"text":"# The Number","label":null,"prefix":null,"suffix":null,"section":"The Number","hero":false,"slider":null,"value":null,"display":null},{"text":"phi = (1 + sqrt(5)) / 2 // @hero @label(φ = (1+√5)/2)","label":"φ = (1+√5)/2","prefix":null,"suffix":null,"section":"The Number","hidden":false,"hero":true,"slider":null,"value":1.618033988749895,"display":"1.618"},{"text":"one over phi = 1 / phi // @label(1/φ (≈ 0.618))","label":"1/φ (≈ 0.618)","prefix":null,"suffix":null,"section":"The Number","hidden":false,"hero":false,"slider":null,"value":0.6180339887498948,"display":"0.618"},{"text":"phi squared = phi^2 // @label(φ² (≈ 2.618))","label":"φ² (≈ 2.618)","prefix":null,"suffix":null,"section":"The Number","hidden":false,"hero":false,"slider":null,"value":2.618033988749895,"display":"2.618"},{"text":"# Fibonacci Approximation","label":null,"prefix":null,"suffix":null,"section":"Fibonacci Approximation","hero":false,"slider":null,"value":null,"display":null},{"text":"fib n minus 1 = 89 // 1..1k","label":null,"prefix":null,"suffix":null,"section":"Fibonacci Approximation","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":89,"display":"89"},{"text":"fib n = 144 // 1..1k","label":null,"prefix":null,"suffix":null,"section":"Fibonacci Approximation","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":144,"display":"144"},{"text":"ratio = fib n / fib n minus 1 // @label(Fib ratio (144/89))","label":"Fib ratio (144/89)","prefix":null,"suffix":null,"section":"Fibonacci Approximation","hidden":false,"hero":false,"slider":null,"value":1.6179775280898876,"display":"1.618"},{"text":"error from phi = round((ratio - phi) * 1000000) / 1000000 // @label(Error vs φ)","label":"Error vs φ","prefix":null,"suffix":null,"section":"Fibonacci Approximation","hidden":false,"hero":false,"slider":null,"value":-0.000056,"display":"-0.000056"},{"text":"# Rule of Thirds vs Golden Section","label":null,"prefix":null,"suffix":null,"section":"Rule of Thirds vs Golden Section","hero":false,"slider":null,"value":null,"display":null},{"text":"thirds split = 1 / 3 // @label(Rule of thirds (1/3 ≈ 0.333))","label":"Rule of thirds (1/3 ≈ 0.333)","prefix":null,"suffix":null,"section":"Rule of Thirds vs Golden Section","hidden":false,"hero":false,"slider":null,"value":0.3333333333333333,"display":"0.3333"},{"text":"golden split = 1 / phi^2 // @label(Golden section (1/φ² ≈ 0.382))","label":"Golden section (1/φ² ≈ 0.382)","prefix":null,"suffix":null,"section":"Rule of Thirds vs Golden Section","hidden":false,"hero":false,"slider":null,"value":0.38196601125010515,"display":"0.382"},{"text":"percent difference = round(abs(thirds split - golden split) / golden split * 100, 1) // % @label(Rule-of-thirds error vs golden section)","label":"Rule-of-thirds error vs golden section","prefix":null,"suffix":"%","section":"Rule of Thirds vs Golden Section","hidden":false,"hero":false,"slider":null,"value":12.7,"display":"12.7"}]},{"id":"golf-handicap-differential","title":"Golf Handicap Differential","description":"Calculate golf handicap differential for a round.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.177Z"},"rows":[{"text":"# Round Settings","label":null,"prefix":null,"suffix":null,"section":"Round Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"score = 85","label":null,"prefix":null,"suffix":null,"section":"Round Settings","hidden":false,"hero":false,"slider":null,"value":85,"display":"85"},{"text":"course rating = 72.0","label":null,"prefix":null,"suffix":null,"section":"Round Settings","hidden":false,"hero":false,"slider":null,"value":72,"display":"72"},{"text":"slope rating = 113","label":null,"prefix":null,"suffix":null,"section":"Round Settings","hidden":false,"hero":false,"slider":null,"value":113,"display":"113"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"handicap differential = (score - course rating) * (113 / slope rating)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":13,"display":"13"}]},{"id":"golf-handicap-index-simple","title":"Golf Handicap Index Simple","description":"Calculate a golf score differential from your score, course rating, and slope.","category":"other","icon":"calculator","tags":["index"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.177Z"},"rows":[{"text":"# Round Data","label":null,"prefix":null,"suffix":null,"section":"Round Data","hero":false,"slider":null,"value":null,"display":null},{"text":"your score = 85","label":null,"prefix":null,"suffix":null,"section":"Round Data","hidden":false,"hero":false,"slider":null,"value":85,"display":"85"},{"text":"course rating = 71.2","label":null,"prefix":null,"suffix":null,"section":"Round Data","hidden":false,"hero":false,"slider":null,"value":71.2,"display":"71.2"},{"text":"course slope = 113","label":null,"prefix":null,"suffix":null,"section":"Round Data","hidden":false,"hero":false,"slider":null,"value":113,"display":"113"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"score differential = (your score - course rating) * (113 / course slope)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":13.8,"display":"13.8"},{"text":"# Note: Real handicap uses average of best 8 of 20 differentials","label":null,"prefix":null,"suffix":null,"section":"Note: Real handicap uses average of best 8 of 20 differentials","hero":false,"slider":null,"value":null,"display":null}]},{"id":"gpa-calculator","title":"GPA Calculator","description":"Calculate your GPA from individual course grades and credits.","category":"education","icon":"graduation-cap","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.177Z"},"rows":[{"text":"# Course 1","label":null,"prefix":null,"suffix":null,"section":"Course 1","hero":false,"slider":null,"value":null,"display":null},{"text":"course1_credits = 3 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 1","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":3,"display":"3"},{"text":"course1_grade = 3.7 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 1","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":3.7,"display":"3.7"},{"text":"# Course 2","label":null,"prefix":null,"suffix":null,"section":"Course 2","hero":false,"slider":null,"value":null,"display":null},{"text":"course2_credits = 4 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 2","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":4,"display":"4"},{"text":"course2_grade = 3.3 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 2","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":3.3,"display":"3.3"},{"text":"# Course 3","label":null,"prefix":null,"suffix":null,"section":"Course 3","hero":false,"slider":null,"value":null,"display":null},{"text":"course3_credits = 3 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 3","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":3,"display":"3"},{"text":"course3_grade = 4.0 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 3","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":4,"display":"4"},{"text":"# Course 4","label":null,"prefix":null,"suffix":null,"section":"Course 4","hero":false,"slider":null,"value":null,"display":null},{"text":"course4_credits = 3 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 4","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":3,"display":"3"},{"text":"course4_grade = 2.7 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 4","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":2.7,"display":"2.7"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"total_credits = course1_credits + course2_credits + course3_credits + course4_credits","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":13,"display":"13"},{"text":"total_grade_points = course1_credits * course1_grade + course2_credits * course2_grade + course3_credits * course3_grade + course4_credits * course4_grade","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":44.4,"display":"44.4"},{"text":"gpa = round(total_grade_points / total_credits * 100) / 100","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":3.42,"display":"3.42"}]},{"id":"grade-calculator","title":"Grade Calculator","description":"Find what score you need on the final to hit your target grade.","category":"education","icon":"target","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.177Z"},"rows":[{"text":"# Current Standing","label":null,"prefix":null,"suffix":null,"section":"Current Standing","hero":false,"slider":null,"value":null,"display":null},{"text":"current_grade = 85 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Current Standing","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":85,"display":"85"},{"text":"final_weight = 30 // % 5..60 by 5","label":null,"prefix":null,"suffix":"%","section":"Current Standing","hidden":false,"hero":false,"slider":{"min":5,"max":60,"step":5},"value":30,"display":"30"},{"text":"target_grade = 90 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Current Standing","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":90,"display":"90"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"coursework_weight = 100 - final_weight","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"coursework_contribution = current_grade * (coursework_weight / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":59.5,"display":"59.5"},{"text":"needed_from_final = target_grade - coursework_contribution","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":30.5,"display":"30.5"},{"text":"needed_final_score = round(needed_from_final / (final_weight / 100) * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":101.7,"display":"101.7"}]},{"id":"grass-seed-coverage","title":"Grass Seed Coverage","description":"Calculate weight of grass seed needed for your lawn area.","category":"everyday","icon":"sprout","tags":["garden","seed"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.178Z"},"rows":[{"text":"area_square_meters = 250 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"seed_rate_grams_per_square_meter = 35 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"@hero total_seed_needed_kg = (area_square_meters * seed_rate_grams_per_square_meter) / 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":8.75,"display":"8.75"}]},{"id":"gravel-weight-calculator","title":"Gravel Weight Calculator","description":"Calculate gravel weight in tons and truck loads from cubic yards.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.178Z"},"rows":[{"text":"# Gravel Volume","label":null,"prefix":null,"suffix":null,"section":"Gravel Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"volume cubic yards = 5 // 0.5..100 by 0.5","label":null,"prefix":null,"suffix":null,"section":"Gravel Volume","hidden":false,"hero":false,"slider":{"min":0.5,"max":100,"step":0.5},"value":5,"display":"5"},{"text":"# Weight Calculations","label":null,"prefix":null,"suffix":null,"section":"Weight Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"# Average density is approx 2800 lbs per cubic yard","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hero":false,"slider":null,"value":null,"display":null},{"text":"pounds per cubic yard = 2800 // 2.4k..3.2k","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hidden":false,"hero":false,"slider":{"min":2400,"max":3200,"step":1},"value":2800,"display":"2,800"},{"text":"_total_weight_pounds = volume cubic yards * pounds per cubic yard","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hidden":true,"hero":false,"slider":null,"value":14000,"display":"14,000"},{"text":"total weight tons = round(total_weight_pounds / 2000, 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hidden":false,"hero":true,"slider":null,"value":7,"display":"7"},{"text":"# Delivery","label":null,"prefix":null,"suffix":null,"section":"Delivery","hero":false,"slider":null,"value":null,"display":null},{"text":"# Typical small dump truck capacity is 5 tons","label":null,"prefix":null,"suffix":null,"section":"Typical small dump truck capacity is 5 tons","hero":false,"slider":null,"value":null,"display":null},{"text":"truck loads = roundup(total weight tons / 5)","label":null,"prefix":null,"suffix":null,"section":"Typical small dump truck capacity is 5 tons","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"}]},{"id":"gravitational-potential-energy-orbital","title":"Gravitational Potential Energy Orbital","description":"Calculate gravitational potential energy of an object in orbit.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.178Z"},"rows":[{"text":"mass_object = 100 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"mass_planet = 5.972e24 // kg (Earth)","label":null,"prefix":null,"suffix":"kg (Earth)","section":null,"hidden":false,"hero":false,"slider":null,"value":5.972e+24,"display":"5.972e24"},{"text":"radius_orbit = 6771000 // meters (LEO)","label":null,"prefix":null,"suffix":"meters (LEO)","section":null,"hidden":false,"hero":false,"slider":null,"value":6771000,"display":"6,771,000"},{"text":"_G = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"@hero potential_energy = -G * mass_planet * mass_object / radius_orbit // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":-5886446315.167628,"display":"-5,886,446,315.1676"}]},{"id":"great-circle-distance-advanced","title":"Great Circle Distance Advanced","description":"Calculate great-circle distance between two coordinates using the haversine formula.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.178Z"},"rows":[{"text":"radius_of_earth_kilometers = 6371","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371,"display":"6,371"},{"text":"lat1_degrees = 40.71","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40.71,"display":"40.71"},{"text":"lon1_degrees = -74.00","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-74,"display":"-74"},{"text":"lat2_degrees = 34.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":34.05,"display":"34.05"},{"text":"lon2_degrees = -118.24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-118.24,"display":"-118.24"},{"text":"dlat = (lat2_degrees - lat1_degrees) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.11623892818282233,"display":"-0.1162"},{"text":"dlon = (lon2_degrees - lon1_degrees) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.7721336610822913,"display":"-0.7721"},{"text":"a = (sin(dlat/2))^2 + cos(lat1_degrees * pi / 180) * cos(lat2_degrees * pi / 180) * (sin(dlon/2))^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.000046424832810349865,"display":"0.00004642"},{"text":"c = 2 * atan2(sqrt(a), sqrt(1-a))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7807844630774026,"display":"0.7808"},{"text":"distance_kilometers = radius_of_earth_kilometers * c","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4974.377814266132,"display":"4,974.3778"}]},{"id":"great-circle-distance-haversine","title":"Great Circle Distance Haversine","description":"Calculate great-circle distance between two latitude/longitude points.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.178Z"},"rows":[{"text":"lat1 = 40.7128","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40.7128,"display":"40.7128"},{"text":"lon1 = -74.0060","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-74.006,"display":"-74.006"},{"text":"lat2 = 34.0522","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":34.0522,"display":"34.0522"},{"text":"lon2 = -118.2437","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-118.2437,"display":"-118.2437"},{"text":"r = 6371","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371,"display":"6,371"},{"text":"dlat = (lat2 - lat1) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.1162494001583343,"display":"-0.1162"},{"text":"dlon = (lon2 - lon1) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.7720935185094956,"display":"-0.7721"},{"text":"a = sin(dlat / 2)**2 + cos(lat1 * pi / 180) * cos(lat2 * pi / 180) * sin(dlon / 2)**2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0000464202974291111,"display":"0.00004642"},{"text":"c = 2 * atan2(a**0.5, (1 - a)**0.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7807463229670337,"display":"0.7807"},{"text":"distance = r * c","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4974.134823622971,"display":"4,974.1348"}]},{"id":"greenhouse-ventilation-requirement","title":"Greenhouse Ventilation","description":"Calculate required airflow for greenhouse cooling.","category":"engineering","icon":"fan","tags":["engineering","garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.179Z"},"rows":[{"text":"greenhouse_volume_cubic_meters = 100 // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"target_air_changes_per_hour = 60 // 1 per minute during summer","label":null,"prefix":null,"suffix":"1 per minute during summer","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"@hero required_airflow_cubic_meters_per_minute = greenhouse_volume_cubic_meters * target_air_changes_per_hour / 60 // m3/min","label":null,"prefix":null,"suffix":"m3/min","section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"greywater-recycling-potential","title":"Greywater Recycling Potential","description":"Calculate how much greywater you can reuse daily.","category":"everyday","icon":"droplet","tags":["eco","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.179Z"},"rows":[{"text":"daily_shower_liters = 60 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"daily_laundry_liters = 20 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"recyclable_fraction = 70 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"@hero daily_greywater_available_liters = (daily_shower_liters + daily_laundry_liters) * (recyclable_fraction / 100) // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":56,"display":"56"}]},{"id":"grid-calculator","title":"Grid Calculator","description":"Calculate CSS grid column widths from container and gap.","category":"design","icon":"grid","tags":["layout"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.179Z"},"rows":[{"text":"# Container","label":null,"prefix":null,"suffix":null,"section":"Container","hero":false,"slider":null,"value":null,"display":null},{"text":"container width = 1200 // px 320..2560 by 10","label":null,"prefix":null,"suffix":"px","section":"Container","hidden":false,"hero":false,"slider":{"min":320,"max":2560,"step":10},"value":1200,"display":"1,200"},{"text":"columns = 12 // 1..24","label":null,"prefix":null,"suffix":null,"section":"Container","hidden":false,"hero":false,"slider":{"min":1,"max":24,"step":1},"value":12,"display":"12"},{"text":"gap = 24 // px 0..80 by 2","label":null,"prefix":null,"suffix":"px","section":"Container","hidden":false,"hero":false,"slider":{"min":0,"max":80,"step":2},"value":24,"display":"24"},{"text":"# Grid Calculations","label":null,"prefix":null,"suffix":null,"section":"Grid Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"total gap space = gap * (columns - 1) // px","label":null,"prefix":null,"suffix":"px","section":"Grid Calculations","hidden":false,"hero":false,"slider":null,"value":264,"display":"264"},{"text":"column width = round((container width - total gap space) / columns * 100) / 100 // px @hero","label":null,"prefix":null,"suffix":"px","section":"Grid Calculations","hidden":false,"hero":true,"slider":null,"value":78,"display":"78"},{"text":"# Span Widths","label":null,"prefix":null,"suffix":null,"section":"Span Widths","hero":false,"slider":null,"value":null,"display":null},{"text":"span 2 = round((column width * 2 + gap * 1) * 100) / 100 // px @label(2-column span)","label":"2-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"span 3 = round((column width * 3 + gap * 2) * 100) / 100 // px @label(3-column span)","label":"3-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":282,"display":"282"},{"text":"span 4 = round((column width * 4 + gap * 3) * 100) / 100 // px @label(4-column span)","label":"4-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":384,"display":"384"},{"text":"span 6 = round((column width * 6 + gap * 5) * 100) / 100 // px @label(6-column span)","label":"6-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":588,"display":"588"},{"text":"# Percentages","label":null,"prefix":null,"suffix":null,"section":"Percentages","hero":false,"slider":null,"value":null,"display":null},{"text":"col width pct = round((column width / container width) * 100 * 100) / 100 // % @label(Column width %)","label":"Column width %","prefix":null,"suffix":"%","section":"Percentages","hidden":false,"hero":false,"slider":null,"value":6.5,"display":"6.5"},{"text":"gap pct = round((total gap space / container width) * 100 * 100) / 100 // % @label(Total gap %)","label":"Total gap %","prefix":null,"suffix":"%","section":"Percentages","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"}]},{"id":"grit-score-estimator","title":"Grit Score Estimator","description":"Estimate a grit score from perseverance and passion ratings.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.180Z"},"rows":[{"text":"perseverance_score = 4.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"passion_score = 4.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"grit_score = (perseverance_score + passion_score) / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.25,"display":"4.25"}]},{"id":"gross-rent-multiplier","title":"Gross Rent Multiplier","description":"Quick valuation tool for comparing rental properties in an area.","category":"real-estate","icon":"ratio","tags":["rent"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.180Z"},"rows":[{"text":"propertyPrice = 350000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":350000,"display":"350,000"},{"text":"grossAnnualRent = 42000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":42000,"display":"42,000"},{"text":"grm = propertyPrice / grossAnnualRent","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8.333333333333334,"display":"8.3333"}]},{"id":"groupthink-risk-indicator","title":"Groupthink Risk Indicator","description":"Estimate groupthink risk from group size, homogeneity, and isolation factors.","category":"health","icon":"brain","tags":["risk"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.180Z"},"rows":[{"text":"group_size = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"homogeneity_factor_1_to_10 = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"isolation_factor_1_to_10 = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"risk_index = (group_size * homogeneity_factor_1_to_10 * isolation_factor_1_to_10) / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5.6,"display":"5.6"}]},{"id":"guild-contribution-point-ratio","title":"Guild Contribution Point Ratio","description":"Calculate contribution points earned from donations.","category":"math","icon":"users","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.181Z"},"rows":[{"text":"# Donation Settings","label":null,"prefix":null,"suffix":null,"section":"Donation Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"gold donated = 50000","label":null,"prefix":null,"suffix":null,"section":"Donation Settings","hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"gold to point ratio = 1000","label":null,"prefix":null,"suffix":null,"section":"Donation Settings","hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"contribution points = gold donated / gold to point ratio","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"gutter-capacity-slope","title":"Gutter Capacity and Slope","description":"Calculate required gutter size based on roof area and rainfall.","category":"construction","icon":"cloud-rain","tags":["construction","home"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.181Z"},"rows":[{"text":"roof_area_square_meters = 200 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"rainfall_intensity_mm_per_hour = 50 // mm/hr","label":null,"prefix":null,"suffix":"mm/hr","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"total_flow_liters_per_second = (roof_area_square_meters * rainfall_intensity_mm_per_hour) / 3600 // L/s","label":null,"prefix":null,"suffix":"L/s","section":null,"hidden":false,"hero":false,"slider":null,"value":2.7777777777777777,"display":"2.7778"},{"text":"gutter_slope_percent = 0.5 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"@hero required_gutter_cross_section_sq_cm = (total_flow_liters_per_second * 10) / (gutter_slope_percent^0.5) // sq cm","label":null,"prefix":null,"suffix":"sq cm","section":null,"hidden":false,"hero":true,"slider":null,"value":39.2837100659193,"display":"39.2837"}]},{"id":"habit-cue-reward-timing","title":"Habit Cue Reward Timing","description":"Calculate habit reinforcement strength based on cue-to-reward delay.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.181Z"},"rows":[{"text":"cue_time_seconds = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"reward_delay_seconds = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"reinforcement_strength = 1 / (1 + reward_delay_seconds)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.03225806451612903,"display":"0.0323"}]},{"id":"habit-streak-projected-milestones","title":"Habit Streak Projected Milestones","description":"Calculate days remaining to reach a habit streak milestone.","category":"productivity","icon":"clock","tags":["streak"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.181Z"},"rows":[{"text":"current_streak_days = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"target_milestone_days = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero days_remaining = target_milestone_days - current_streak_days // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":85,"display":"85"},{"text":"@hero weeks_to_milestone = days_remaining / 7 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":true,"slider":null,"value":12.142857142857142,"display":"12.1429"}]},{"id":"half-life-advanced","title":"Half Life Advanced","description":"Calculate remaining radioactive material after time elapsed using half-life.","category":"science","icon":"flask-conical","tags":["life","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.181Z"},"rows":[{"text":"# Decay Stats","label":null,"prefix":null,"suffix":null,"section":"Decay Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"initial amount = 100 // grams 0.1..10k","label":null,"prefix":null,"suffix":"grams","section":"Decay Stats","hidden":false,"hero":false,"slider":{"min":0.1,"max":10000,"step":100},"value":100,"display":"100"},{"text":"half life = 5730 // years 0.1..1e9","label":null,"prefix":null,"suffix":"years","section":"Decay Stats","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000000000,"step":10000000},"value":5730,"display":"5,730"},{"text":"time elapsed = 1000 // years 0..1e9","label":null,"prefix":null,"suffix":"years","section":"Decay Stats","hidden":false,"hero":false,"slider":{"min":0,"max":1000000000,"step":10000000},"value":1000,"display":"1,000"},{"text":"# Formula: N(t) = N0 * (0.5)^(t / t_half)","label":null,"prefix":null,"suffix":null,"section":"Formula: N(t) = N0 * (0.5)^(t / t_half)","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"remaining amount = initial amount * (0.5^(time elapsed / half life)) // grams @hero","label":null,"prefix":null,"suffix":"grams","section":"Result","hidden":false,"hero":true,"slider":null,"value":88.60622295433987,"display":"88.6062"},{"text":"# Progress","label":null,"prefix":null,"suffix":null,"section":"Progress","hero":false,"slider":null,"value":null,"display":null},{"text":"decay constant = 0.693147 / half life","label":null,"prefix":null,"suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":null,"value":0.00012096806282722514,"display":"0.000121"},{"text":"percent remaining = (remaining amount / initial amount) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Progress","hidden":false,"hero":false,"slider":null,"value":88.60622295433987,"display":"88.6062"},{"text":"amount lost = initial amount - remaining amount","label":null,"prefix":null,"suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":null,"value":11.39377704566013,"display":"11.3938"},{"text":"fractional remaining = remaining amount / initial amount","label":null,"prefix":null,"suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":null,"value":0.8860622295433987,"display":"0.8861"}]},{"id":"half-life-radioactive-atoms-remaining","title":"Half Life Radioactive Atoms Remaining","description":"Calculate radioactive atoms remaining after a number of half-lives.","category":"education","icon":"book-open","tags":["life","radioactive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.182Z"},"rows":[{"text":"initial_atoms = 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"half_life_seconds = 60 // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"time_elapsed_seconds = 180 // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"_number_of_half_lives = time_elapsed_seconds / half_life_seconds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"@hero atoms_remaining = initial_atoms * (0.5)^number_of_half_lives","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":125000,"display":"125,000"}]},{"id":"half-life","title":"Half-Life","description":"Remaining amount after time t given half-life: N(t) = N₀ · (1/2)^(t/T½).","category":"formulas","icon":"timer","tags":["half-life"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.182Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"initial_amount = 100 // 0..1M","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":100,"display":"100"},{"text":"half_life = 5 // 0.01..10k","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.01,"max":10000,"step":100},"value":5,"display":"5"},{"text":"time = 10 // 0..100k","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":100000,"step":1000},"value":10,"display":"10"},{"text":"# Remaining amount","label":null,"prefix":null,"suffix":null,"section":"Remaining amount","hero":false,"slider":null,"value":null,"display":null},{"text":"amount = initial_amount * (1 / 2)^(time / half_life) // @hero @label(N(t))","label":"N(t)","prefix":null,"suffix":null,"section":"Remaining amount","hidden":false,"hero":true,"slider":null,"value":25,"display":"25"},{"text":"decay_constant = log(2) / half_life // @label(Decay constant λ)","label":"Decay constant λ","prefix":null,"suffix":null,"section":"Remaining amount","hidden":false,"hero":false,"slider":null,"value":0.060205999132796235,"display":"0.0602"}]},{"id":"halo-effect-bias-estimate","title":"Halo Effect Bias Estimate","description":"Estimate perceived intelligence boost from the halo effect of attractiveness.","category":"health","icon":"brain","tags":["effect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.182Z"},"rows":[{"text":"attractiveness_rating = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"perceived_intelligence_boost = attractiveness_rating * 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"hammock-hang-angle-tension","title":"Hammock Hang Angle Tension","description":"Calculate cord tension based on body weight and hang angle.","category":"everyday","icon":"anchor","tags":["everyday","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.182Z"},"rows":[{"text":"body_weight_lbs = 180 // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"hang_angle_degrees = 30 // degrees (30 is ideal)","label":null,"prefix":null,"suffix":"degrees (30 is ideal)","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"hang_angle_rad = hang_angle_degrees * 3.14159 / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5235983333333334,"display":"0.5236"},{"text":"@hero cord_tension_lbs = (body_weight_lbs / 2) / sin(hang_angle_rad) // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":true,"slider":null,"value":9848.564447704654,"display":"9,848.5644"}]},{"id":"hamster-life-stage","title":"Hamster Life Stage","description":"Calculate a hamster's equivalent human age from months lived vs average lifespan.","category":"health","icon":"activity","tags":["life","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.183Z"},"rows":[{"text":"hamster_age_months = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"average_lifespan_months = 24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"life_percentage = (hamster_age_months / average_lifespan_months) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"equivalent_human_age = life_percentage * 0.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"happiness-set-point-adjuster","title":"Happiness Set Point Adjuster","description":"Calculate a total happiness score from baseline, circumstances, and intentional activity.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.183Z"},"rows":[{"text":"baseline_happiness = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"circumstances_impact = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"intentional_activity_impact = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"total_happiness = baseline_happiness + circumstances_impact + intentional_activity_impact","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"hard-drive-life-expectancy-stats","title":"Hard Drive Life Expectancy Stats","description":"Calculate probability of hard drive failure over a number of years.","category":"math","icon":"infinity","tags":["drive","life","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.183Z"},"rows":[{"text":"drive_age_years = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"annual_failure_rate = 0.015","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.015,"display":"0.015"},{"text":"probability_of_failure = 1 - (1 - annual_failure_rate) ** drive_age_years","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.044328375,"display":"0.0443"}]},{"id":"hard-money-loan-cost","title":"Hard Money Loan Cost","description":"Estimate the total cost of interest and points for short-term loans.","category":"real-estate","icon":"dollar-sign","tags":["loan"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.183Z"},"rows":[{"text":"loanAmount = 150000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":150000,"display":"150,000"},{"text":"interestRateAnnual = 12 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"loanPoints = 2 // points","label":null,"prefix":null,"suffix":"points","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"loanTermMonths = 6 // months","label":null,"prefix":null,"suffix":"months","section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"_interestCost = (loanAmount * (interestRateAnnual / 100) / 12) * loanTermMonths","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":9000,"display":"9,000"},{"text":"_pointsCost = loanAmount * (loanPoints / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"totalLoanCost = interestCost + pointsCost","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12000,"display":"12,000"}]},{"id":"hash-collision","title":"Hash Collision Probability","description":"Calculate collision probability using the birthday problem for any hash size.","category":"programming","icon":"fingerprint-pattern","tags":["birthday","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.183Z"},"rows":[{"text":"# Hash Parameters","label":null,"prefix":null,"suffix":null,"section":"Hash Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"hash size = 128 // bits 8..512 by 8","label":null,"prefix":null,"suffix":"bits","section":"Hash Parameters","hidden":false,"hero":false,"slider":{"min":8,"max":512,"step":8},"value":128,"display":"128"},{"text":"number of items hashed = 1000000 // 1..100M","label":null,"prefix":null,"suffix":null,"section":"Hash Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":100000000,"step":1000000},"value":1000000,"display":"1,000,000"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"total hash space = 2^hash_size","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":3.402823669209385e+38,"display":"3.4028e38"},{"text":"expected collisions = (number_of_items_hashed^2) / (2 * total_hash_space)","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":1.4693679385278594e-27,"display":"1.4694e-27"},{"text":"# Birthday Problem","label":null,"prefix":null,"suffix":null,"section":"Birthday Problem","hero":false,"slider":null,"value":null,"display":null},{"text":"prob no collision = E^(-(number_of_items_hashed * (number_of_items_hashed - 1)) / (2 * total_hash_space)) // @label(P(no collision))","label":"P(no collision)","prefix":null,"suffix":null,"section":"Birthday Problem","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"prob at least one collision = 1 - prob_no_collision // @hero @label(P(at least one collision))","label":"P(at least one collision)","prefix":null,"suffix":null,"section":"Birthday Problem","hidden":false,"hero":true,"slider":null,"value":0,"display":"0"},{"text":"# 50% Collision Threshold","label":null,"prefix":null,"suffix":null,"section":"50% Collision Threshold","hero":false,"slider":null,"value":null,"display":null},{"text":"items needed for 50 pct collision chance = sqrt(2 * total_hash_space * ln(2))","label":null,"prefix":null,"suffix":null,"section":"50% Collision Threshold","hidden":false,"hero":false,"slider":null,"value":21719381355163560000,"display":"2.1719e19"}]},{"id":"health-savings-account-hsa-growth","title":"Health Savings Account Hsa Growth","description":"Calculate the future value of HSA contributions invested over 20 years.","category":"finance","icon":"heart","tags":["health","account","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.184Z"},"rows":[{"text":"annual_contribution = 3850","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3850,"display":"3,850"},{"text":"years = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"expected_return = 0.07","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.07,"display":"0.07"},{"text":"future_value = annual_contribution * (((1 + expected_return) ** years - 1) / expected_return)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":157832.64543674007,"display":"157,832.6454"}]},{"id":"heart-rate-zones","title":"Heart Rate Zones","description":"Find your training heart rate zones using the Karvonen method.","category":"health","icon":"heart-pulse","tags":["training"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.184Z"},"rows":[{"text":"# Your Info","label":null,"prefix":null,"suffix":null,"section":"Your Info","hero":false,"slider":null,"value":null,"display":null},{"text":"age = 30 // years 15..85","label":null,"prefix":null,"suffix":"years","section":"Your Info","hidden":false,"hero":false,"slider":{"min":15,"max":85,"step":1},"value":30,"display":"30"},{"text":"resting heart rate = 65 // bpm 40..100","label":null,"prefix":null,"suffix":"bpm","section":"Your Info","hidden":false,"hero":false,"slider":{"min":40,"max":100,"step":1},"value":65,"display":"65"},{"text":"# Max Heart Rate","label":null,"prefix":null,"suffix":null,"section":"Max Heart Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"estimated max heart rate = 220 - age // bpm @hero","label":null,"prefix":null,"suffix":"bpm","section":"Max Heart Rate","hidden":false,"hero":true,"slider":null,"value":190,"display":"190"},{"text":"heart rate reserve = estimated_max_heart_rate - resting_heart_rate // bpm","label":null,"prefix":null,"suffix":"bpm","section":"Max Heart Rate","hidden":false,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"# Training Zones (Karvonen Method)","label":null,"prefix":null,"suffix":null,"section":"Training Zones (Karvonen Method)","hero":false,"slider":null,"value":null,"display":null},{"text":"zone 1 recovery low = resting_heart_rate + heart_rate_reserve * 0.50 // bpm @label(Zone 1: Recovery (50%))","label":"Zone 1: Recovery (50%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":127.5,"display":"127.5"},{"text":"zone 1 recovery high = resting_heart_rate + heart_rate_reserve * 0.60 // bpm @label(Zone 1: Recovery (60%))","label":"Zone 1: Recovery (60%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":140,"display":"140"},{"text":"zone 2 aerobic low = resting_heart_rate + heart_rate_reserve * 0.60 // bpm @label(Zone 2: Aerobic (60%))","label":"Zone 2: Aerobic (60%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":140,"display":"140"},{"text":"zone 2 aerobic high = resting_heart_rate + heart_rate_reserve * 0.70 // bpm @label(Zone 2: Aerobic (70%))","label":"Zone 2: Aerobic (70%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":152.5,"display":"152.5"},{"text":"zone 3 tempo low = resting_heart_rate + heart_rate_reserve * 0.70 // bpm @label(Zone 3: Tempo (70%))","label":"Zone 3: Tempo (70%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":152.5,"display":"152.5"},{"text":"zone 3 tempo high = resting_heart_rate + heart_rate_reserve * 0.80 // bpm @label(Zone 3: Tempo (80%))","label":"Zone 3: Tempo (80%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":165,"display":"165"},{"text":"zone 4 threshold low = resting_heart_rate + heart_rate_reserve * 0.80 // bpm @label(Zone 4: Threshold (80%))","label":"Zone 4: Threshold (80%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":165,"display":"165"},{"text":"zone 4 threshold high = resting_heart_rate + heart_rate_reserve * 0.90 // bpm @label(Zone 4: Threshold (90%))","label":"Zone 4: Threshold (90%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":177.5,"display":"177.5"},{"text":"zone 5 max low = resting_heart_rate + heart_rate_reserve * 0.90 // bpm @label(Zone 5: Max (90%))","label":"Zone 5: Max (90%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":177.5,"display":"177.5"},{"text":"zone 5 max high = estimated_max_heart_rate // bpm @label(Zone 5: Max (100%))","label":"Zone 5: Max (100%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":190,"display":"190"}]},{"id":"heart-rate","title":"Heart Beats","description":"Beats per day, year, and lifetime from a resting heart rate.","category":"health","icon":"heart","tags":["biology","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.184Z"},"rows":[{"text":"# Heart Rate","label":null,"prefix":null,"suffix":null,"section":"Heart Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"resting bpm = 70 // bpm 30..150","label":null,"prefix":null,"suffix":"bpm","section":"Heart Rate","hidden":false,"hero":false,"slider":{"min":30,"max":150,"step":1},"value":70,"display":"70"},{"text":"age years = 35 // years 0..120","label":null,"prefix":null,"suffix":"years","section":"Heart Rate","hidden":false,"hero":false,"slider":{"min":0,"max":120,"step":1},"value":35,"display":"35"},{"text":"# Daily","label":null,"prefix":null,"suffix":null,"section":"Daily","hero":false,"slider":null,"value":null,"display":null},{"text":"beats per hour = resting bpm * 60","label":null,"prefix":null,"suffix":null,"section":"Daily","hidden":false,"hero":false,"slider":null,"value":4200,"display":"4,200"},{"text":"beats per day = resting bpm * 60 * 24 // @hero","label":null,"prefix":null,"suffix":null,"section":"Daily","hidden":false,"hero":true,"slider":null,"value":100800,"display":"100,800"},{"text":"# Longer","label":null,"prefix":null,"suffix":null,"section":"Longer","hero":false,"slider":null,"value":null,"display":null},{"text":"beats per year = beats per day * 365","label":null,"prefix":null,"suffix":null,"section":"Longer","hidden":false,"hero":false,"slider":null,"value":36792000,"display":"36,792,000"},{"text":"lifetime years = 80 // years 1..120","label":null,"prefix":null,"suffix":"years","section":"Longer","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":80,"display":"80"},{"text":"lifetime beats = beats per year * lifetime years","label":null,"prefix":null,"suffix":null,"section":"Longer","hidden":false,"hero":false,"slider":null,"value":2943360000,"display":"2,943,360,000"},{"text":"# Beats So Far","label":null,"prefix":null,"suffix":null,"section":"Beats So Far","hero":false,"slider":null,"value":null,"display":null},{"text":"beats so far = round(beats per year * age years) // @label(Beats so far in your life)","label":"Beats so far in your life","prefix":null,"suffix":null,"section":"Beats So Far","hidden":false,"hero":false,"slider":null,"value":1287720000,"display":"1,287,720,000"}]},{"id":"heat-exchanger-log-mean-temp-difference","title":"Heat Exchanger LMTD","description":"Calculate Log Mean Temperature Difference.","category":"engineering","icon":"thermometer","tags":["engineering","fluids"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.184Z"},"rows":[{"text":"hot_inlet_temp_celsius = 80 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"hot_outlet_temp_celsius = 40 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"cold_inlet_temp_celsius = 20 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"cold_outlet_temp_celsius = 35 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"delta_t1 = hot_inlet_temp_celsius - cold_outlet_temp_celsius","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"delta_t2 = hot_outlet_temp_celsius - cold_inlet_temp_celsius","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero lmtd_celsius = (delta_t1 - delta_t2) / log(delta_t1 / delta_t2) // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":true,"slider":null,"value":70.98591984084466,"display":"70.9859"}]},{"id":"heat-index","title":"Heat Index","description":"Apparent temperature from heat and humidity (NOAA Rothfusz formula).","category":"everyday","icon":"thermometer","tags":["temperature","humidity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.184Z"},"rows":[{"text":"# Conditions","label":null,"prefix":null,"suffix":null,"section":"Conditions","hero":false,"slider":null,"value":null,"display":null},{"text":"temperature f = 90 // °F 70..120","label":null,"prefix":null,"suffix":"°F","section":"Conditions","hidden":false,"hero":false,"slider":{"min":70,"max":120,"step":1},"value":90,"display":"90"},{"text":"relative humidity = 80 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Conditions","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":80,"display":"80"},{"text":"# Rothfusz Heat Index (NOAA full formula, valid above 80°F)","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hero":false,"slider":null,"value":null,"display":null},{"text":"_t = temperature f","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hidden":true,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"_r = relative humidity","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hidden":true,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"_hi_raw = -42.379 + 2.04901523 * t + 10.14333127 * r - 0.22475541 * t * r - 0.00683783 * t^2 - 0.05481717 * r^2 + 0.00122874 * t^2 * r + 0.00085282 * t * r^2 - 0.00000199 * t^2 * r^2","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hidden":true,"hero":false,"slider":null,"value":113.3298493,"display":"113.3298"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"feels like f = round(hi_raw, 0) // °F @hero @label(Feels like) @suffix(°F)","label":"Feels like","prefix":null,"suffix":"°F","section":"Result","hidden":false,"hero":true,"slider":null,"value":113,"display":"113"},{"text":"feels like c = round((feels like f - 32) * 5 / 9, 1) // °C @label(Feels like) @suffix(°C)","label":"Feels like","prefix":null,"suffix":"°C","section":"Result","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"# Difference","label":null,"prefix":null,"suffix":null,"section":"Difference","hero":false,"slider":null,"value":null,"display":null},{"text":"extra degrees = round(feels like f - temperature f, 0) // °F @label(Heat index above real temp)","label":"Heat index above real temp","prefix":null,"suffix":"°F","section":"Difference","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"}]},{"id":"heat-sink-thermal-resistance","title":"Heat Sink Thermal Resistance","description":"Calculate required thermal resistance for cooling.","category":"engineering","icon":"thermometer-snowflake","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.185Z"},"rows":[{"text":"power_dissipation_watts = 10 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"max_junction_temp_celsius = 125 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"ambient_temp_celsius = 25 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"total_thermal_resistance = (max_junction_temp_celsius - ambient_temp_celsius) / power_dissipation_watts // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"case_to_sink_resistance = 0.5 // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"junction_to_case_resistance = 1.2 // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"@hero required_sink_to_ambient_resistance = total_thermal_resistance - junction_to_case_resistance - case_to_sink_resistance // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":true,"slider":null,"value":8.3,"display":"8.3"}]},{"id":"heat-transfer","title":"Heat Transfer","description":"Calculate heat flow through walls using Fourier's Law with R-value and energy costs.","category":"engineering","icon":"thermometer","tags":["heat","insulation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.185Z"},"rows":[{"text":"# Surface Properties","label":null,"prefix":null,"suffix":null,"section":"Surface Properties","hero":false,"slider":null,"value":null,"display":null},{"text":"surface area = 10 // m² 1..100","label":null,"prefix":null,"suffix":"m²","section":"Surface Properties","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"10"},{"text":"wall thickness = 0.05 // m 0.01..0.5 by 0.01","label":null,"prefix":null,"suffix":"m","section":"Surface Properties","hidden":false,"hero":false,"slider":{"min":0.01,"max":0.5,"step":0.01},"value":0.05,"display":"0.05"},{"text":"thermal conductivity = 0.04 // W/m·K 0.01..2 by 0.01","label":null,"prefix":null,"suffix":"W/m·K","section":"Surface Properties","hidden":false,"hero":false,"slider":{"min":0.01,"max":2,"step":0.01},"value":0.04,"display":"0.04"},{"text":"# Temperatures","label":null,"prefix":null,"suffix":null,"section":"Temperatures","hero":false,"slider":null,"value":null,"display":null},{"text":"hot side temperature = 25 // °C -20..60","label":null,"prefix":null,"suffix":"°C","section":"Temperatures","hidden":false,"hero":false,"slider":{"min":-20,"max":60,"step":1},"value":25,"display":"25"},{"text":"cold side temperature = -5 // °C -40..40","label":null,"prefix":null,"suffix":"°C","section":"Temperatures","hidden":false,"hero":false,"slider":{"min":-40,"max":40,"step":1},"value":-5,"display":"-5"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"temperature difference = hot_side_temperature - cold_side_temperature // °C","label":null,"prefix":null,"suffix":"°C","section":"Results","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"heat transfer rate = thermal_conductivity * surface_area * temperature_difference / wall_thickness // W @hero @label(Heat Transfer Rate (Fourier's Law))","label":"Heat Transfer Rate (Fourier's Law)","prefix":null,"suffix":"W","section":"Results","hidden":false,"hero":true,"slider":null,"value":240,"display":"240"},{"text":"R value = wall_thickness / thermal_conductivity // m²·K/W @label(R-Value (Thermal Resistance))","label":"R-Value (Thermal Resistance)","prefix":null,"suffix":"m²·K/W","section":"Results","hidden":false,"hero":false,"slider":null,"value":1.25,"display":"1.25"},{"text":"daily energy loss = heat_transfer_rate * 24 / 1000 // kWh/day","label":null,"prefix":null,"suffix":"kWh/day","section":"Results","hidden":false,"hero":false,"slider":null,"value":5.76,"display":"5.76"},{"text":"$monthly cost at 12c per kWh = daily_energy_loss * 30 * 0.12","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":20.736,"display":"$20.74"}]},{"id":"heater-wattage-sizing","title":"Heater Wattage Sizing","description":"Calculate heater wattage needed for a room from area and insulation quality.","category":"health","icon":"activity","tags":["heater","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.185Z"},"rows":[{"text":"# Room Info","label":null,"prefix":null,"suffix":null,"section":"Room Info","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 15 // feet","label":null,"prefix":null,"suffix":"feet","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"width = 12 // feet","label":null,"prefix":null,"suffix":"feet","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"insulation quality = 1.0 // 0.8 (great) to 1.5 (poor)","label":null,"prefix":null,"suffix":"0.8 (great) to 1.5 (poor)","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Wattage Calculations","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_area = length * width","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hidden":true,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"_base_watts = area * 10","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hidden":true,"hero":false,"slider":null,"value":1800,"display":"1,800"},{"text":"total watts needed = roundup(base_watts * insulation quality) // @hero","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hidden":false,"hero":true,"slider":null,"value":1800,"display":"1,800"},{"text":"# BTU Conversion","label":null,"prefix":null,"suffix":null,"section":"BTU Conversion","hero":false,"slider":null,"value":null,"display":null},{"text":"# 1 Watt = 3.41 BTU/hr","label":null,"prefix":null,"suffix":null,"section":"1 Watt = 3.41 BTU/hr","hero":false,"slider":null,"value":null,"display":null},{"text":"total btu per hour = round(total watts needed * 3.41)","label":null,"prefix":null,"suffix":null,"section":"1 Watt = 3.41 BTU/hr","hidden":false,"hero":false,"slider":null,"value":6138,"display":"6,138"}]},{"id":"heloc-interest-calculator","title":"HELOC Interest","description":"Estimate monthly interest payments for a line of credit.","category":"real-estate","icon":"credit-card","tags":["interest"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.185Z"},"rows":[{"text":"outstandingBalance = 25000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":25000,"display":"25,000"},{"text":"apr = 7.5 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":7.5,"display":"7.5"},{"text":"monthlyInterestPayment = (outstandingBalance * (apr / 100)) / 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":156.25,"display":"156.25"}]},{"id":"heloc-payment","title":"Heloc Payment","description":"Calculate HELOC monthly payment for interest-only or amortizing options.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.185Z"},"rows":[{"text":"# HELOC Terms","label":null,"prefix":null,"suffix":null,"section":"HELOC Terms","hero":false,"slider":null,"value":null,"display":null},{"text":"$heloc balance = 50000 // 1k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"HELOC Terms","hidden":false,"hero":false,"slider":{"min":1000,"max":500000,"step":1000},"value":50000,"display":"$50,000.00"},{"text":"interest rate = 8.5 // % 1..18 by 0.1","label":null,"prefix":null,"suffix":"%","section":"HELOC Terms","hidden":false,"hero":false,"slider":{"min":1,"max":18,"step":0.1},"value":8.5,"display":"8.5"},{"text":"$annual fee = 50 // 0..500 by 10","label":null,"prefix":"$","suffix":null,"section":"HELOC Terms","hidden":false,"hero":false,"slider":{"min":0,"max":500,"step":10},"value":50,"display":"$50.00"},{"text":"payment type = 1 // dropdown({Interest Only: 1, Principal and Interest: 2})","label":null,"prefix":null,"suffix":null,"section":"HELOC Terms","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_monthly_interest_payment = heloc balance * (interest rate / 100 / 12)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":354.16666666666663,"display":"$354.17"},{"text":"$_monthly_principal_and_interest = heloc balance * (interest rate/1200 * (1+interest rate/1200)^240) / ((1+interest rate/1200)^240 - 1) // assumes 20yr","label":null,"prefix":"$","suffix":"assumes 20yr","section":"Calculations","hidden":true,"hero":false,"slider":null,"value":433.91161668276703,"display":"$433.91"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated monthly payment = if(payment type == 1, monthly_interest_payment, monthly_principal_and_interest) // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":354.16666666666663,"display":"$354.17"},{"text":"$annual cost = estimated monthly payment * 12 + annual fee","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":4300,"display":"$4,300.00"},{"text":"effective daily interest = (interest rate / 365) // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":0.023287671232876714,"display":"0.0233"}]},{"id":"hero-ascension-material-cost","title":"Hero Ascension Material Cost","description":"Calculate total materials needed for hero ascension.","category":"math","icon":"trending-up","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.186Z"},"rows":[{"text":"# Ascension Settings","label":null,"prefix":null,"suffix":null,"section":"Ascension Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current rank = 3","label":null,"prefix":null,"suffix":null,"section":"Ascension Settings","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"target rank = 5","label":null,"prefix":null,"suffix":null,"section":"Ascension Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"base material cost = 10","label":null,"prefix":null,"suffix":null,"section":"Ascension Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"cost multiplier per rank = 2","label":null,"prefix":null,"suffix":null,"section":"Ascension Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_ranks_to_ascend = target rank - current rank","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"total materials needed = base material cost * (cost multiplier per rank ^ ranks_to_ascend)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"hex-binary-converter","title":"Hex/Binary Converter","description":"Convert between decimal, hex, and binary with bitwise operations.","category":"programming","icon":"code","tags":["hex"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.186Z"},"rows":[{"text":"# Input","label":null,"prefix":null,"suffix":null,"section":"Input","hero":false,"slider":null,"value":null,"display":null},{"text":"decimal number = 255 // 0..65535","label":null,"prefix":null,"suffix":null,"section":"Input","hidden":false,"hero":false,"slider":{"min":0,"max":65535,"step":1000},"value":255,"display":"255"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"hexadecimal = decimal_number as hex // @hero","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":true,"slider":null,"value":255,"display":"0x00ff"},{"text":"binary = decimal_number as bin","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":255,"display":"0b11111111"},{"text":"# Reverse: Hex Input","label":null,"prefix":null,"suffix":null,"section":"Reverse: Hex Input","hero":false,"slider":null,"value":null,"display":null},{"text":"hex input = 0xFF","label":null,"prefix":null,"suffix":null,"section":"Reverse: Hex Input","hidden":false,"hero":false,"slider":null,"value":255,"display":"0x00ff"},{"text":"hex to decimal = hex_input as decimal // @label(→ Decimal)","label":"→ Decimal","prefix":null,"suffix":null,"section":"Reverse: Hex Input","hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"hex to binary = hex_input as bin // @label(→ Binary)","label":"→ Binary","prefix":null,"suffix":null,"section":"Reverse: Hex Input","hidden":false,"hero":false,"slider":null,"value":255,"display":"0b11111111"},{"text":"# Bitwise Operations","label":null,"prefix":null,"suffix":null,"section":"Bitwise Operations","hero":false,"slider":null,"value":null,"display":null},{"text":"value A = 0b11001010","label":null,"prefix":null,"suffix":null,"section":"Bitwise Operations","hidden":false,"hero":false,"slider":null,"value":202,"display":"0b11001010"},{"text":"value B = 0b10110011","label":null,"prefix":null,"suffix":null,"section":"Bitwise Operations","hidden":false,"hero":false,"slider":null,"value":179,"display":"0b10110011"},{"text":"A and B = value_A and value_B","label":null,"prefix":null,"suffix":null,"section":"Bitwise Operations","hidden":false,"hero":false,"slider":null,"value":130,"display":"0b10000010"},{"text":"A or B = value_A or value_B","label":null,"prefix":null,"suffix":null,"section":"Bitwise Operations","hidden":false,"hero":false,"slider":null,"value":251,"display":"0b11111011"},{"text":"A xor B = value_A xor value_B","label":null,"prefix":null,"suffix":null,"section":"Bitwise Operations","hidden":false,"hero":false,"slider":null,"value":121,"display":"0b01111001"}]},{"id":"hex-to-rgb-color-converter","title":"Hex To Rgb Color Converter","description":"Convert a hex color value to RGB components.","category":"design","icon":"palette","tags":["hex","rgb","color"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"# Hex input @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Hex input","hero":false,"slider":null,"value":null,"display":null},{"text":"hex_red = 255","label":null,"prefix":null,"suffix":null,"section":"Hex input","hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"hex_green = 255","label":null,"prefix":null,"suffix":null,"section":"Hex input","hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"hex_blue = 255","label":null,"prefix":null,"suffix":null,"section":"Hex input","hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"# RGB output @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"RGB output","hero":false,"slider":null,"value":null,"display":null},{"text":"@hero r = hex_red","label":null,"prefix":null,"suffix":null,"section":"RGB output","hidden":false,"hero":true,"slider":null,"value":255,"display":"255"},{"text":"@hero g = hex_green","label":null,"prefix":null,"suffix":null,"section":"RGB output","hidden":false,"hero":true,"slider":null,"value":255,"display":"255"},{"text":"@hero b = hex_blue","label":null,"prefix":null,"suffix":null,"section":"RGB output","hidden":false,"hero":true,"slider":null,"value":255,"display":"255"}]},{"id":"hiking-time-naismith-rule","title":"Hiking Time Naismith Rule","description":"Estimate hiking time using Naismith's Rule from distance and elevation gain.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.187Z"},"rows":[{"text":"# Route Details","label":null,"prefix":null,"suffix":null,"section":"Route Details","hero":false,"slider":null,"value":null,"display":null},{"text":"horizontal distance = 5 // miles 0..50","label":null,"prefix":null,"suffix":"miles","section":"Route Details","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":5,"display":"5"},{"text":"elevation gain = 2000 // feet 0..10k","label":null,"prefix":null,"suffix":"feet","section":"Route Details","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":2000,"display":"2,000"},{"text":"# Naismith's Rule","label":null,"prefix":null,"suffix":null,"section":"Naismith's Rule","hero":false,"slider":null,"value":null,"display":null},{"text":"distance km = horizontal distance * 1.60934","label":null,"prefix":null,"suffix":null,"section":"Naismith's Rule","hidden":false,"hero":false,"slider":null,"value":8.0467,"display":"8.0467"},{"text":"ascent meters = elevation gain * 0.3048","label":null,"prefix":null,"suffix":null,"section":"Naismith's Rule","hidden":false,"hero":false,"slider":null,"value":609.6,"display":"609.6"},{"text":"# 1 hour per 5km + 1 hour per 600m ascent","label":null,"prefix":null,"suffix":null,"section":"1 hour per 5km + 1 hour per 600m ascent","hero":false,"slider":null,"value":null,"display":null},{"text":"base time minutes = (distance km / 5) * 60","label":null,"prefix":null,"suffix":null,"section":"1 hour per 5km + 1 hour per 600m ascent","hidden":false,"hero":false,"slider":null,"value":96.5604,"display":"96.5604"},{"text":"ascent time minutes = (ascent meters / 600) * 60","label":null,"prefix":null,"suffix":null,"section":"1 hour per 5km + 1 hour per 600m ascent","hidden":false,"hero":false,"slider":null,"value":60.96,"display":"60.96"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"total hiking time = base time minutes + ascent time minutes // minutes @hero","label":null,"prefix":null,"suffix":"minutes","section":"Result","hidden":false,"hero":true,"slider":null,"value":157.5204,"display":"157.5204"},{"text":"time in hours = total hiking time / 60","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":2.62534,"display":"2.6253"},{"text":"walking speed = horizontal distance / (total hiking time / 60) // mph","label":null,"prefix":null,"suffix":"mph","section":"Result","hidden":false,"hero":false,"slider":null,"value":1.9045152246947061,"display":"1.9045"}]},{"id":"hipaa-violation-penalty-hypothetical","title":"HIPAA Penalty Estimator","description":"Estimate hypothetical HIPAA penalties for data violations.","category":"other","icon":"activity","tags":["penalty"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.187Z"},"rows":[{"text":"numberOfViolations = 10 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"penaltyPerViolation = 1000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"totalPenalty = numberOfViolations * penaltyPerViolation","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10000,"display":"10,000"}]},{"id":"hockey-save-percentage","title":"Hockey Save Percentage","description":"Calculate hockey goalie save percentage.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.187Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"saves = 28","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":28,"display":"28"},{"text":"shots on goal = 31","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":31,"display":"31"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"save percentage = (saves / shots on goal) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":90.32258064516128,"display":"90.3226"}]},{"id":"holiday-light-power-consumption","title":"Holiday Light Power Consumption","description":"Calculate the electricity cost of running holiday lights over a season.","category":"science","icon":"lightbulb","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.187Z"},"rows":[{"text":"number_of_light_strings = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"watts_per_string = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"hours_on_per_day = 6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"days_active = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"electricity_cost_per_kilowatt_hour = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"total_kilowatt_hours = (number_of_light_strings * watts_per_string * hours_on_per_day * days_active) / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":36,"display":"36"},{"text":"total_estimated_cost = total_kilowatt_hours * electricity_cost_per_kilowatt_hour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5.4,"display":"5.4"}]},{"id":"home-affordability","title":"Home Affordability","description":"Estimate how much house you can afford based on income.","category":"real-estate","icon":"home","tags":["home","income","housing"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.188Z"},"rows":[{"text":"# Income & Debts","label":null,"prefix":null,"suffix":null,"section":"Income & Debts","hero":false,"slider":null,"value":null,"display":null},{"text":"annual income = $85000 // 20k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Income & Debts","hidden":false,"hero":false,"slider":{"min":20000,"max":500000,"step":1000},"value":85000,"display":"$85,000.00"},{"text":"monthly income = annual income / 12","label":null,"prefix":null,"suffix":null,"section":"Income & Debts","hidden":false,"hero":false,"slider":null,"value":7083.333333333333,"display":"7,083.3333"},{"text":"monthly debts = $400 // 0..5k","label":null,"prefix":"$","suffix":null,"section":"Income & Debts","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":50},"value":400,"display":"$400.00"},{"text":"# Loan Details","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hero":false,"slider":null,"value":null,"display":null},{"text":"down payment = $40000 // 0..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":1000},"value":40000,"display":"$40,000.00"},{"text":"interest rate = 6.5 // % 1..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.1},"value":6.5,"display":"6.5"},{"text":"loan term = 30 // years 10..40","label":null,"prefix":null,"suffix":"years","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":10,"max":40,"step":1},"value":30,"display":"30"},{"text":"# Affordability (28% DTI Rule)","label":null,"prefix":null,"suffix":null,"section":"Affordability (28% DTI Rule)","hero":false,"slider":null,"value":null,"display":null},{"text":"max monthly housing = monthly income * 0.28","label":null,"prefix":null,"suffix":null,"section":"Affordability (28% DTI Rule)","hidden":false,"hero":false,"slider":null,"value":1983.333333333333,"display":"1,983.3333"},{"text":"available for mortgage = max monthly housing - monthly debts","label":null,"prefix":null,"suffix":null,"section":"Affordability (28% DTI Rule)","hidden":false,"hero":false,"slider":null,"value":1583.333333333333,"display":"1,583.3333"},{"text":"monthly rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Affordability (28% DTI Rule)","hidden":false,"hero":false,"slider":null,"value":0.005416666666666667,"display":"0.005417"},{"text":"num payments = loan term * 12","label":null,"prefix":null,"suffix":null,"section":"Affordability (28% DTI Rule)","hidden":false,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"$max loan amount = round(available for mortgage * ((1 + monthly rate)^num payments - 1) / (monthly rate * (1 + monthly rate)^num payments))","label":null,"prefix":"$","suffix":null,"section":"Affordability (28% DTI Rule)","hidden":false,"hero":false,"slider":null,"value":250500,"display":"$250,500.00"},{"text":"$max home price = max loan amount + down payment","label":null,"prefix":"$","suffix":null,"section":"Affordability (28% DTI Rule)","hidden":false,"hero":true,"slider":null,"value":290500,"display":"$290,500.00"}]},{"id":"home-equity-loan","title":"Home Equity Loan","description":"Calculate maximum HELOAN available and remaining equity at a given LTV cap.","category":"finance","icon":"home","tags":["home","equity","loan","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.188Z"},"rows":[{"text":"# Equity Loan Details","label":null,"prefix":null,"suffix":null,"section":"Equity Loan Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated home value = 500000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Equity Loan Details","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":500000,"display":"$500,000.00"},{"text":"$current mortgage balance = 300000 // 0..1.5M by 5k","label":null,"prefix":"$","suffix":null,"section":"Equity Loan Details","hidden":false,"hero":false,"slider":{"min":0,"max":1500000,"step":5000},"value":300000,"display":"$300,000.00"},{"text":"max loan to value ratio = 80 // % 50..95","label":null,"prefix":null,"suffix":"%","section":"Equity Loan Details","hidden":false,"hero":false,"slider":{"min":50,"max":95,"step":1},"value":80,"display":"80"},{"text":"$requested loan amount = 50000 // 1k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Equity Loan Details","hidden":false,"hero":false,"slider":{"min":1000,"max":500000,"step":1000},"value":50000,"display":"$50,000.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_max_total_debt_allowed = estimated home value * (max loan to value ratio / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":400000,"display":"$400,000.00"},{"text":"$_max_equity_loan_available = if(max_total_debt_allowed > current mortgage balance, max_total_debt_allowed - current mortgage balance, 0)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":100000,"display":"$100,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$available equity loan = max_equity_loan_available // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":100000,"display":"$100,000.00"},{"text":"$remaining equity after loan = estimated home value - current mortgage balance - requested loan amount","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":150000,"display":"$150,000.00"},{"text":"new total loan to value = (current mortgage balance + requested loan amount) / estimated home value * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"status = if(requested loan amount <= max_equity_loan_available, \"Approved\", \"Exceeds LTV limit\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Approved","display":"Approved"}]},{"id":"home-inspection-cost-estimate","title":"Home Inspection Cost","description":"Estimate the cost of a professional home inspection by size.","category":"real-estate","icon":"search","tags":["home"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.188Z"},"rows":[{"text":"squareFootage = 2000 // square feet","label":null,"prefix":null,"suffix":"square feet","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"baseFee = 300 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"feePerSquareFoot = 0.05 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"estimatedInspectionCost = baseFee + (squareFootage * feePerSquareFoot)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":400,"display":"400"}]},{"id":"home-insulation-roi","title":"Home Insulation ROI","description":"Calculate savings and break-even point for home insulation.","category":"finance","icon":"home","tags":["finance","insulation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.188Z"},"rows":[{"text":"insulation_cost = 2000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"annual_energy_savings_dollars = 400 // dollars per year","label":null,"prefix":null,"suffix":"dollars per year","section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"@hero years_to_break_even = insulation_cost / annual_energy_savings_dollars // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"twenty_year_total_savings = (annual_energy_savings_dollars * 20) - insulation_cost // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"}]},{"id":"homebrew-og-fg-abv","title":"Homebrew Og Fg Abv","description":"Calculate beer ABV, attenuation, and calories from original and final gravity.","category":"everyday","icon":"home","tags":["abv","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.189Z"},"rows":[{"text":"# Brewing Stats","label":null,"prefix":null,"suffix":null,"section":"Brewing Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"original gravity = 1.050 // 1..1.12","label":null,"prefix":null,"suffix":null,"section":"Brewing Stats","hidden":false,"hero":false,"slider":{"min":1,"max":1.12,"step":0.002},"value":1.05,"display":"1.05"},{"text":"final gravity = 1.010 // 1..1.04","label":null,"prefix":null,"suffix":null,"section":"Brewing Stats","hidden":false,"hero":false,"slider":{"min":1,"max":1.04,"step":0.0005},"value":1.01,"display":"1.01"},{"text":"# ABV Formula","label":null,"prefix":null,"suffix":null,"section":"ABV Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"abv = (original gravity - final gravity) * 131.25","label":null,"prefix":null,"suffix":null,"section":"ABV Formula","hidden":false,"hero":false,"slider":null,"value":5.25,"display":"5.25"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"alcohol by volume = abv // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":5.25,"display":"5.25"},{"text":"# Details","label":null,"prefix":null,"suffix":null,"section":"Details","hero":false,"slider":null,"value":null,"display":null},{"text":"apparent attenuation = (original gravity - final gravity) / (original gravity - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Details","hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"calories per twelve oz = (6.9 * abv) + 355 * (original gravity - 1) * (0.1808 * original gravity + 0.8192) // kcal","label":null,"prefix":null,"suffix":"kcal","section":"Details","hidden":false,"hero":false,"slider":null,"value":54.13546,"display":"54.1355"},{"text":"total calories = round(calories per twelve oz)","label":null,"prefix":null,"suffix":null,"section":"Details","hidden":false,"hero":false,"slider":null,"value":54,"display":"54"}]},{"id":"honey-bee-colony-growth","title":"Honey Bee Colony Growth","description":"Estimate honey bee colony growth from queen laying rate and worker lifespan.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.189Z"},"rows":[{"text":"starting_bees = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"days_passed = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"queen_laying_rate_per_day = 1500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"worker_lifespan_days = 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"bees_born = days_passed * queen_laying_rate_per_day","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45000,"display":"45,000"},{"text":"bees_died = (starting_bees / worker_lifespan_days) * days_passed","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6666.666666666668,"display":"6,666.6667"},{"text":"@hero estimated_colony_size = starting_bees + bees_born - bees_died","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":48333.33333333333,"display":"48,333.3333"}]},{"id":"hookes-law-spring-constant","title":"Hookes Law Spring Constant","description":"Calculate a spring constant and elastic potential energy using Hooke's Law.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.189Z"},"rows":[{"text":"force = 10 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"displacement = 0.05 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"@hero spring_constant_k = force / displacement // Newtons per meter","label":null,"prefix":null,"suffix":"Newtons per meter","section":null,"hidden":false,"hero":true,"slider":null,"value":200,"display":"200"},{"text":"@hero elastic_potential_energy = 0.5 * spring_constant_k * displacement^2 // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":0.25000000000000006,"display":"0.25"}]},{"id":"hop-bitterness-ibus","title":"Hop Bitterness Ibus","description":"Calculate beer IBUs from hop weight, alpha acid percent, and boil time.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.189Z"},"rows":[{"text":"hop_weight_ounces = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"alpha_acid_percent = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"boil_time_minutes = 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"batch_size_gallons = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"utilization = 0.25 // Estimate for 60 min boil","label":null,"prefix":null,"suffix":"Estimate for 60 min boil","section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"@hero ibu = (hop_weight_ounces * alpha_acid_percent * utilization * 74.89) / batch_size_gallons","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":37.445,"display":"37.445"}]},{"id":"horse-height-hands-to-cm","title":"Horse Height Hands To Cm","description":"Convert a horse's height in hands to centimeters.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.190Z"},"rows":[{"text":"height_in_hands = 15.2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15.2,"display":"15.2"},{"text":"whole_hands = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"inches_remainder = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"total_inches = (whole_hands * 4) + inches_remainder","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":62,"display":"62"},{"text":"height_in_centimeters = total_inches * 2.54","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":157.48,"display":"157.48"}]},{"id":"horsepower-to-torque-converter","title":"Horsepower To Torque Converter","description":"Convert horsepower to torque at a given RPM.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.190Z"},"rows":[{"text":"# Specs","label":null,"prefix":null,"suffix":null,"section":"Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"horsepower = 300","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"rpm = 5252","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":5252,"display":"5,252"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"torque foot pounds = (horsepower * 5252) / rpm","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":300,"display":"300"}]},{"id":"hot-tub-heating-time","title":"Hot Tub Heating Time","description":"Calculate hours needed to heat a hot tub based on volume.","category":"everyday","icon":"thermometer","tags":["everyday","pool"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.190Z"},"rows":[{"text":"volume_liters = 1500 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"heater_kilowatts = 4 // kW","label":null,"prefix":null,"suffix":"kW","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"initial_temp_celsius = 15 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"target_temp_celsius = 38 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":38,"display":"38"},{"text":"energy_needed_kwh = volume_liters * (target_temp_celsius - initial_temp_celsius) * 0.00116 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":40.02,"display":"40.02"},{"text":"@hero heating_time_hours = energy_needed_kwh / heater_kilowatts // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":true,"slider":null,"value":10.005,"display":"10.005"}]},{"id":"hourly-to-salary","title":"Hourly to Salary","description":"Convert hourly rates to annual salary with tax deductions and overtime.","category":"business","icon":"briefcase","tags":["salary"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.190Z"},"rows":[{"text":"# Hourly Input","label":null,"prefix":null,"suffix":null,"section":"Hourly Input","hero":false,"slider":null,"value":null,"display":null},{"text":"hourly rate = $35 // 7..200 by 0.5","label":null,"prefix":"$","suffix":null,"section":"Hourly Input","hidden":false,"hero":false,"slider":{"min":7,"max":200,"step":0.5},"value":35,"display":"$35.00"},{"text":"hours per week = 40 // 10..80","label":null,"prefix":null,"suffix":null,"section":"Hourly Input","hidden":false,"hero":false,"slider":{"min":10,"max":80,"step":1},"value":40,"display":"40"},{"text":"weeks per year = 52 // 40..52","label":null,"prefix":null,"suffix":null,"section":"Hourly Input","hidden":false,"hero":false,"slider":{"min":40,"max":52,"step":0.2},"value":52,"display":"52"},{"text":"# Annual Salary","label":null,"prefix":null,"suffix":null,"section":"Annual Salary","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual gross salary = hourly_rate * hours_per_week * weeks_per_year // @hero","label":null,"prefix":"$","suffix":null,"section":"Annual Salary","hidden":false,"hero":true,"slider":null,"value":72800,"display":"$72,800.00"},{"text":"$monthly gross = annual_gross_salary / 12","label":null,"prefix":"$","suffix":null,"section":"Annual Salary","hidden":false,"hero":false,"slider":null,"value":6066.666666666667,"display":"$6,066.67"},{"text":"$biweekly gross = annual_gross_salary / 26","label":null,"prefix":"$","suffix":null,"section":"Annual Salary","hidden":false,"hero":false,"slider":null,"value":2800,"display":"$2,800.00"},{"text":"# After Deductions","label":null,"prefix":null,"suffix":null,"section":"After Deductions","hero":false,"slider":null,"value":null,"display":null},{"text":"effective tax rate = 25 // % 0..50","label":null,"prefix":null,"suffix":"%","section":"After Deductions","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":25,"display":"25"},{"text":"$annual take home = annual_gross_salary * (1 - effective_tax_rate / 100)","label":null,"prefix":"$","suffix":null,"section":"After Deductions","hidden":false,"hero":false,"slider":null,"value":54600,"display":"$54,600.00"},{"text":"$monthly take home = annual_take_home / 12","label":null,"prefix":"$","suffix":null,"section":"After Deductions","hidden":false,"hero":false,"slider":null,"value":4550,"display":"$4,550.00"},{"text":"$effective hourly after tax = annual_take_home / (hours_per_week * weeks_per_year)","label":null,"prefix":"$","suffix":null,"section":"After Deductions","hidden":false,"hero":false,"slider":null,"value":26.25,"display":"$26.25"},{"text":"# Overtime","label":null,"prefix":null,"suffix":null,"section":"Overtime","hero":false,"slider":null,"value":null,"display":null},{"text":"$overtime rate = hourly rate * 1.5","label":null,"prefix":"$","suffix":null,"section":"Overtime","hidden":false,"hero":false,"slider":null,"value":52.5,"display":"$52.50"},{"text":"overtime hours per week = 5 // 0..30","label":null,"prefix":null,"suffix":null,"section":"Overtime","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":5,"display":"5"},{"text":"$weekly overtime pay = overtime hours per week * overtime rate","label":null,"prefix":"$","suffix":null,"section":"Overtime","hidden":false,"hero":false,"slider":null,"value":262.5,"display":"$262.50"}]},{"id":"hsl-to-rgb-color-converter","title":"Hsl To Rgb Color Converter","description":"Convert HSL color values to RGB components.","category":"design","icon":"palette","tags":["rgb","color"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.191Z"},"rows":[{"text":"hue = 180 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"saturation_percent = 50 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"lightness_percent = 50 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"_s = saturation_percent / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_l = lightness_percent / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_c = (1 - abs(2 * l - 1)) * s","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_x = c * (1 - abs((hue / 60) % 2 - 1))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":null,"display":null},{"text":"_m = l - c / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"@hero red_rgb = (c + m) * 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":191.25,"display":"191.25"},{"text":"@hero green_rgb = (c + m) * 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":191.25,"display":"191.25"},{"text":"@hero blue_rgb = (c + m) * 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":191.25,"display":"191.25"}]},{"id":"hubble-law-distance","title":"Hubble Law Distance","description":"Calculate distance to a galaxy in megaparsecs using Hubble's Law.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.191Z"},"rows":[{"text":"velocity_km_s = 7000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7000,"display":"7,000"},{"text":"hubble_constant = 70 // km/s/Mpc","label":null,"prefix":null,"suffix":"km/s/Mpc","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"distance_megaparsecs = velocity_km_s / hubble_constant","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"hue-rotation-degree-shift","title":"Hue Rotation Degree Shift","description":"Calculate a new HSL hue after rotating by a degree amount.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.191Z"},"rows":[{"text":"original_hue = 100 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"rotation_degrees = 45 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"@hero new_hue = (original_hue + rotation_degrees) % 360 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"hula-hoop-rotations","title":"Hula Hoop Rotations","description":"Calculate total hula hoop rotations from rpm and duration.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.192Z"},"rows":[{"text":"rotations_per_minute = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"time_minutes = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total_rotations = rotations_per_minute * time_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":500,"display":"500"}]},{"id":"humidity-adjustment-for-bread","title":"Humidity Adjustment For Bread","description":"Adjust bread recipe water grams based on ambient humidity.","category":"science","icon":"flask-conical","tags":["humidity","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.192Z"},"rows":[{"text":"standard_water_grams = 350","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"relative_humidity_percent = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"humidity_factor = (relative_humidity_percent - 50) / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"water_adjustment_grams = -5 * humidity_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-1.5,"display":"-1.5"},{"text":"@hero adjusted_water_grams = standard_water_grams + water_adjustment_grams","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":348.5,"display":"348.5"}]},{"id":"humidity-dew-point","title":"Humidity Dew Point","description":"Calculate dew point and humidity comfort level using the Magnus-Tetens formula.","category":"science","icon":"flask-conical","tags":["humidity","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.192Z"},"rows":[{"text":"# Environment","label":null,"prefix":null,"suffix":null,"section":"Environment","hero":false,"slider":null,"value":null,"display":null},{"text":"air temperature = 75 // fahrenheit 32..110","label":null,"prefix":null,"suffix":"fahrenheit","section":"Environment","hidden":false,"hero":false,"slider":{"min":32,"max":110,"step":1},"value":75,"display":"75"},{"text":"relative humidity = 50 // % 1..100","label":null,"prefix":null,"suffix":"%","section":"Environment","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":50,"display":"50"},{"text":"# Magnus-Tetens Formula","label":null,"prefix":null,"suffix":null,"section":"Magnus-Tetens Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"temp celsius = (air temperature - 32) * 5 / 9","label":null,"prefix":null,"suffix":null,"section":"Magnus-Tetens Formula","hidden":false,"hero":false,"slider":null,"value":23.88888888888889,"display":"23.8889"},{"text":"gamma = (17.27 * temp celsius / (237.7 + temp celsius)) + ln(relative humidity / 100)","label":null,"prefix":null,"suffix":null,"section":"Magnus-Tetens Formula","hidden":false,"hero":false,"slider":null,"value":0.8839882737152105,"display":"0.884"},{"text":"dew point celsius = (237.7 * gamma) / (17.27 - gamma)","label":null,"prefix":null,"suffix":null,"section":"Magnus-Tetens Formula","hidden":false,"hero":false,"slider":null,"value":12.823377413128894,"display":"12.8234"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"dew point = (dew point celsius * 9 / 5) + 32 // fahrenheit @hero","label":null,"prefix":null,"suffix":"fahrenheit","section":"Result","hidden":false,"hero":true,"slider":null,"value":55.08207934363201,"display":"55.0821"},{"text":"# Spread","label":null,"prefix":null,"suffix":null,"section":"Spread","hero":false,"slider":null,"value":null,"display":null},{"text":"temperature dew point spread = air temperature - dew point","label":null,"prefix":null,"suffix":null,"section":"Spread","hidden":false,"hero":false,"slider":null,"value":19.91792065636799,"display":"19.9179"},{"text":"condensation risk = relative humidity > 90","label":null,"prefix":null,"suffix":null,"section":"Spread","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"is comfortable = dew point < 60","label":null,"prefix":null,"suffix":null,"section":"Spread","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"is humid = dew point > 65","label":null,"prefix":null,"suffix":null,"section":"Spread","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"is oppressive = dew point > 75","label":null,"prefix":null,"suffix":null,"section":"Spread","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"}]},{"id":"hunting-zero-distance-drop","title":"Hunting Zero Distance Drop","description":"Calculate hunting rifle bullet drop adjustment from zero distance to target.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.193Z"},"rows":[{"text":"zero_distance_yards = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"target_distance_yards = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"bullet_drop_at_target_inches = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"@hero adjustment_inches = bullet_drop_at_target_inches","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"hydration-advanced","title":"Hydration Advanced","description":"Calculate daily water intake from weight, exercise duration, and temperature.","category":"health","icon":"activity","tags":["hydration","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.193Z"},"rows":[{"text":"# Baseline","label":null,"prefix":null,"suffix":null,"section":"Baseline","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Baseline","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"base hydration = weight * 0.5 // ounces","label":null,"prefix":null,"suffix":"ounces","section":"Baseline","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"# Activity and Environment","label":null,"prefix":null,"suffix":null,"section":"Activity and Environment","hero":false,"slider":null,"value":null,"display":null},{"text":"exercise duration = 60 // minutes 0..300","label":null,"prefix":null,"suffix":"minutes","section":"Activity and Environment","hidden":false,"hero":false,"slider":{"min":0,"max":300,"step":1},"value":60,"display":"60"},{"text":"sweat loss rate = exercise duration * 0.4 // ounces","label":null,"prefix":null,"suffix":"ounces","section":"Activity and Environment","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"temperature = 85 // fahrenheit 60..110","label":null,"prefix":null,"suffix":"fahrenheit","section":"Activity and Environment","hidden":false,"hero":false,"slider":{"min":60,"max":110,"step":1},"value":85,"display":"85"},{"text":"heat adjustment = max(0, (temperature - 80) * 2) // ounces","label":null,"prefix":null,"suffix":"ounces","section":"Activity and Environment","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"total daily water goal = base hydration + sweat loss rate + heat adjustment // ounces @hero","label":null,"prefix":null,"suffix":"ounces","section":"Result","hidden":false,"hero":true,"slider":null,"value":124,"display":"124"},{"text":"water in liters = total daily water goal * 0.0295735","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":3.667114,"display":"3.6671"}]},{"id":"hydraulic-cylinder-force","title":"Hydraulic Cylinder Force","description":"Calculate extension and retraction force for hydraulics.","category":"engineering","icon":"settings-2","tags":["engineering"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.193Z"},"rows":[{"text":"bore_diameter_inches = 3 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"system_pressure_psi = 2000 // psi","label":null,"prefix":null,"suffix":"psi","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"piston_area = 3.14159 * ((bore_diameter_inches / 2)^2) // sq inches","label":null,"prefix":null,"suffix":"sq inches","section":null,"hidden":false,"hero":false,"slider":null,"value":7.0685775,"display":"7.0686"},{"text":"@hero extension_force_lbs = system_pressure_psi * piston_area // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":true,"slider":null,"value":14137.155,"display":"14,137.155"},{"text":"retraction_force_lbs = extension_force_lbs * 0.8 // assuming rod takes 20% area","label":null,"prefix":null,"suffix":"assuming rod takes 20% area","section":null,"hidden":false,"hero":false,"slider":null,"value":11309.724,"display":"11,309.724"}]},{"id":"hyperfocal-distance","title":"Hyperfocal Distance","description":"Calculate hyperfocal distance for a lens from focal length, aperture, and crop factor.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.193Z"},"rows":[{"text":"# Optical Stats","label":null,"prefix":null,"suffix":null,"section":"Optical Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"focal length = 50 // mm 10..600","label":null,"prefix":null,"suffix":"mm","section":"Optical Stats","hidden":false,"hero":false,"slider":{"min":10,"max":600,"step":1},"value":50,"display":"50"},{"text":"aperture = 8.0 // f-number 1.0..64","label":null,"prefix":null,"suffix":"f-number","section":"Optical Stats","hidden":false,"hero":false,"slider":{"min":1,"max":64,"step":1},"value":8,"display":"8"},{"text":"sensor crop factor = 1.5 // 1..2","label":null,"prefix":null,"suffix":null,"section":"Optical Stats","hidden":false,"hero":false,"slider":{"min":1,"max":2,"step":0.01},"value":1.5,"display":"1.5"},{"text":"# Circle of Confusion (Commonly 0.03mm for 35mm)","label":null,"prefix":null,"suffix":null,"section":"Circle of Confusion (Commonly 0.03mm for 35mm)","hero":false,"slider":null,"value":null,"display":null},{"text":"coc = 0.03 / sensor crop factor","label":null,"prefix":null,"suffix":null,"section":"Circle of Confusion (Commonly 0.03mm for 35mm)","hidden":false,"hero":false,"slider":null,"value":0.02,"display":"0.02"},{"text":"# Formula: H = (f^2 / (N * c)) + f","label":null,"prefix":null,"suffix":null,"section":"Formula: H = (f^2 / (N * c)) + f","hero":false,"slider":null,"value":null,"display":null},{"text":"hyperfocal mm = (focal length^2 / (aperture * coc)) + focal length","label":null,"prefix":null,"suffix":null,"section":"Formula: H = (f^2 / (N * c)) + f","hidden":false,"hero":false,"slider":null,"value":15675,"display":"15,675"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"hyperfocal distance = hyperfocal mm / 1000 // meters @hero","label":null,"prefix":null,"suffix":"meters","section":"Result","hidden":false,"hero":true,"slider":null,"value":15.675,"display":"15.675"},{"text":"distance in feet = hyperfocal distance * 3.28084","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":51.427167,"display":"51.4272"},{"text":"near limit at focus = hyperfocal distance / 2 // meters","label":null,"prefix":null,"suffix":"meters","section":"Result","hidden":false,"hero":false,"slider":null,"value":7.8375,"display":"7.8375"},{"text":"far limit at focus = 9999 // infinity","label":null,"prefix":null,"suffix":"infinity","section":"Result","hidden":false,"hero":false,"slider":null,"value":9999,"display":"9,999"}]},{"id":"ice-cube-melt-time","title":"Ice Cube Melt Time","description":"Estimate ice cube melt time in minutes from size and ambient temperature.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.194Z"},"rows":[{"text":"cube_side_cm = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"ambient_temp_c = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"melt_rate_factor = 0.01","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"time_minutes = (cube_side_cm^2) / (melt_rate_factor * (ambient_temp_c))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"ideal-gas-law","title":"Ideal Gas Law","description":"Solve PV=nRT for any variable — pressure, volume, temperature, or moles.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.194Z"},"rows":[{"text":"# Conditions","label":null,"prefix":null,"suffix":null,"section":"Conditions","hero":false,"slider":null,"value":null,"display":null},{"text":"pressure = 1 // atm 0.1..100","label":null,"prefix":null,"suffix":"atm","section":"Conditions","hidden":false,"hero":false,"slider":{"min":0.1,"max":100,"step":1},"value":1,"display":"1"},{"text":"volume = 22.4 // L 0.1..1k","label":null,"prefix":null,"suffix":"L","section":"Conditions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":22.4,"display":"22.4"},{"text":"temperature = 273.15 // K 1..1k","label":null,"prefix":null,"suffix":"K","section":"Conditions","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":273.15,"display":"273.15"},{"text":"# Constants","label":null,"prefix":null,"suffix":null,"section":"Constants","hero":false,"slider":null,"value":null,"display":null},{"text":"gas constant R = 0.08206 // L·atm/mol·K","label":null,"prefix":null,"suffix":"L·atm/mol·K","section":"Constants","hidden":false,"hero":false,"slider":null,"value":0.08206,"display":"0.0821"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"moles of gas = (pressure * volume) / (gas_constant_R * temperature) // mol @hero @label(Amount of Gas (n = PV/RT))","label":"Amount of Gas (n = PV/RT)","prefix":null,"suffix":"mol","section":"Results","hidden":false,"hero":true,"slider":null,"value":0.9993446708093965,"display":"0.9993"},{"text":"number of molecules = moles_of_gas * 6.022e23","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":6.0180536076141854e+23,"display":"6.0181e23"},{"text":"mass if O2 = moles_of_gas * 32 // g @label(Mass if O₂ (MW=32))","label":"Mass if O₂ (MW=32)","prefix":null,"suffix":"g","section":"Results","hidden":false,"hero":false,"slider":null,"value":31.979029465900684,"display":"31.979"},{"text":"mass if N2 = moles_of_gas * 28 // g @label(Mass if N₂ (MW=28))","label":"Mass if N₂ (MW=28)","prefix":null,"suffix":"g","section":"Results","hidden":false,"hero":false,"slider":null,"value":27.9816507826631,"display":"27.9817"}]},{"id":"image-resize","title":"Image Resize","description":"Calculate new dimensions when resizing an image.","category":"design","icon":"image","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.194Z"},"rows":[{"text":"# Original Image","label":null,"prefix":null,"suffix":null,"section":"Original Image","hero":false,"slider":null,"value":null,"display":null},{"text":"original width = 4032 // px 1..10k","label":null,"prefix":null,"suffix":"px","section":"Original Image","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":4032,"display":"4,032"},{"text":"original height = 3024 // px 1..10k","label":null,"prefix":null,"suffix":"px","section":"Original Image","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":3024,"display":"3,024"},{"text":"# Target","label":null,"prefix":null,"suffix":null,"section":"Target","hero":false,"slider":null,"value":null,"display":null},{"text":"target width = 1200 // px 1..10k","label":null,"prefix":null,"suffix":"px","section":"Target","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":1200,"display":"1,200"},{"text":"# Calculated Dimensions","label":null,"prefix":null,"suffix":null,"section":"Calculated Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"target height = round(original height * (target width / original width)) // px @hero","label":null,"prefix":null,"suffix":"px","section":"Calculated Dimensions","hidden":false,"hero":true,"slider":null,"value":900,"display":"900"},{"text":"scale factor = round(target width / original width * 10000) / 10000","label":null,"prefix":null,"suffix":null,"section":"Calculated Dimensions","hidden":false,"hero":false,"slider":null,"value":0.2976,"display":"0.2976"},{"text":"# File Size Estimate","label":null,"prefix":null,"suffix":null,"section":"File Size Estimate","hero":false,"slider":null,"value":null,"display":null},{"text":"original megapixels = round((original width * original height) / 1000000 * 100) / 100 // MP","label":null,"prefix":null,"suffix":"MP","section":"File Size Estimate","hidden":false,"hero":false,"slider":null,"value":12.19,"display":"12.19"},{"text":"new megapixels = round((target width * target height) / 1000000 * 100) / 100 // MP","label":null,"prefix":null,"suffix":"MP","section":"File Size Estimate","hidden":false,"hero":false,"slider":null,"value":1.08,"display":"1.08"},{"text":"size reduction pct = round((1 - (new megapixels / original megapixels)) * 100 * 10) / 10 // % @label(Pixel reduction)","label":"Pixel reduction","prefix":null,"suffix":"%","section":"File Size Estimate","hidden":false,"hero":false,"slider":null,"value":91.1,"display":"91.1"},{"text":"# Aspect Ratio","label":null,"prefix":null,"suffix":null,"section":"Aspect Ratio","hero":false,"slider":null,"value":null,"display":null},{"text":"ratio = round(original width / original height * 10000) / 10000 // @label(Aspect ratio (decimal))","label":"Aspect ratio (decimal)","prefix":null,"suffix":null,"section":"Aspect Ratio","hidden":false,"hero":false,"slider":null,"value":1.3333,"display":"1.3333"}]},{"id":"inbound-freight-cost","title":"Inbound Freight Cost","description":"Track the average cost of shipments coming into your facility.","category":"business","icon":"corner-down-left","tags":["freight"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.195Z"},"rows":[{"text":"totalInboundFreight = 8000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":8000,"display":"8,000"},{"text":"totalInboundShipments = 40 // shipments","label":null,"prefix":null,"suffix":"shipments","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"averageInboundCost = totalInboundFreight / totalInboundShipments","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":200,"display":"200"}]},{"id":"inductor-energy-storage","title":"Inductor Energy Storage","description":"Calculate energy stored in an inductor from inductance and current.","category":"health","icon":"activity","tags":["storage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.195Z"},"rows":[{"text":"inductance_millihenries = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"current_amps = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"energy_stored_joules = 0.5 * (inductance_millihenries / 1000) * current_amps ** 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.2,"display":"0.2"}]},{"id":"inflation-adjusted-salary-history","title":"Inflation Adjusted Salary History","description":"Adjust a historical salary to today's dollars using CPI ratios.","category":"finance","icon":"dollar-sign","tags":["inflation","salary","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.196Z"},"rows":[{"text":"past_salary = 50000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"past_cpi = 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"current_cpi = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"adjusted_salary = past_salary * (current_cpi / past_cpi)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":83333.33333333334,"display":"83,333.3333"}]},{"id":"inflation-calculator","title":"Inflation Calculator","description":"See how inflation erodes purchasing power over time.","category":"finance","icon":"arrow-up-right","tags":["inflation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.196Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"$amount today = 1000 // 1..1M","label":null,"prefix":"$","suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":1000000,"step":10000},"value":1000,"display":"$1,000.00"},{"text":"inflation rate = 3 // % 0.5..15 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.5,"max":15,"step":0.5},"value":3,"display":"3"},{"text":"years = 10 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":10,"display":"10"},{"text":"# Future Cost","label":null,"prefix":null,"suffix":null,"section":"Future Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$future equivalent = round(amount today * (1 + inflation rate / 100)^years * 100) / 100 // @label(Cost of Same Goods in Future) @hero","label":"Cost of Same Goods in Future","prefix":"$","suffix":null,"section":"Future Cost","hidden":false,"hero":true,"slider":null,"value":1343.92,"display":"$1,343.92"},{"text":"# Purchasing Power","label":null,"prefix":null,"suffix":null,"section":"Purchasing Power","hero":false,"slider":null,"value":null,"display":null},{"text":"$purchasing power = round(amount today / (1 + inflation rate / 100)^years * 100) / 100 // @label(What Your Money Will Buy)","label":"What Your Money Will Buy","prefix":"$","suffix":null,"section":"Purchasing Power","hidden":false,"hero":false,"slider":null,"value":744.09,"display":"$744.09"},{"text":"$value lost = round((amount today - purchasing power) * 100) / 100 // @label(Purchasing Power Lost)","label":"Purchasing Power Lost","prefix":"$","suffix":null,"section":"Purchasing Power","hidden":false,"hero":false,"slider":null,"value":255.91,"display":"$255.91"},{"text":"loss pct = round((value lost / amount today) * 100 * 10) / 10 // % @label(Loss %)","label":"Loss %","prefix":null,"suffix":"%","section":"Purchasing Power","hidden":false,"hero":false,"slider":null,"value":25.6,"display":"25.6"}]},{"id":"information-overload-content-threshold","title":"Information Overload Content Threshold","description":"Calculate cognitive capacity utilization from items processed vs limit.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.196Z"},"rows":[{"text":"items_processed_per_hour = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"cognitive_limit_per_hour = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"@hero capacity_utilization_percent = (items_processed_per_hour / cognitive_limit_per_hour) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"information-ratio-investment","title":"Information Ratio Investment","description":"Calculate the information ratio for a portfolio from excess return and tracking error.","category":"math","icon":"ratio","tags":["investment","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.197Z"},"rows":[{"text":"portfolio_return = 0.12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"benchmark_return = 0.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"tracking_error = 0.04","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"},{"text":"information_ratio = (portfolio_return - benchmark_return) / tracking_error","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.5,"display":"0.5"}]},{"id":"insta-calc-completion-celebration","title":"Insta Calc Completion Celebration","description":"Calculate the completion percentage of an Instacalc gallery milestone.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.197Z"},"rows":[{"text":"calculators_completed = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"target_goal = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"completion_percent = (calculators_completed / target_goal) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"insulation-savings-r-value","title":"Insulation Savings R Value","description":"Estimate annual heating savings from upgrading attic insulation R-value.","category":"finance","icon":"dollar-sign","tags":["insulation","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.197Z"},"rows":[{"text":"current_r_value = 11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":11,"display":"11"},{"text":"target_r_value = 38","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":38,"display":"38"},{"text":"attic_area_square_feet = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"heating_degree_days = 4000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"cost_per_therm = 1.20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"annual_heat_loss_reduction_therms = (attic_area_square_feet * heating_degree_days * 24) / 100000 * (1/current_r_value - 1/target_r_value)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":62.00956937799045,"display":"62.0096"},{"text":"@hero annual_savings_dollars = annual_heat_loss_reduction_therms * cost_per_therm","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":74.41148325358854,"display":"74.4115"}]},{"id":"integral-power-rule","title":"Integral — Power Rule","description":"Evaluate ∫a·xⁿ dx = a·x^(n+1)/(n+1) at a given x.","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.198Z"},"rows":[{"text":"# Function: f(x) = a · x^n","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"n = 4 // -10..10","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":1},"value":4,"display":"4"},{"text":"x = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"# Antiderivative at x","label":null,"prefix":null,"suffix":null,"section":"Antiderivative at x","hero":false,"slider":null,"value":null,"display":null},{"text":"antiderivative = a * x^(n + 1) / (n + 1) // @label(∫f(x) dx)","label":"∫f(x) dx","prefix":null,"suffix":null,"section":"Antiderivative at x","hidden":false,"hero":true,"slider":null,"value":19.2,"display":"19.2"}]},{"id":"intellectual-property-portfolio-value","title":"IP Portfolio Value","description":"Estimate the combined value of patents and trademarks.","category":"other","icon":"briefcase","tags":["property"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.198Z"},"rows":[{"text":"numberOfPatents = 5 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"averageValuePerPatent = 50000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"numberOfTrademarks = 3 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"averageValuePerTrademark = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"totalPortfolioValue = (numberOfPatents * averageValuePerPatent) + (numberOfTrademarks * averageValuePerTrademark)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":295000,"display":"295,000"}]},{"id":"internal-rate-of-return-real-estate","title":"Real Estate IRR Estimator","description":"Estimate the internal rate of return for a property investment.","category":"real-estate","icon":"trending-up","tags":["estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.198Z"},"rows":[{"text":"initialInvestment = 100000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"saleProceeds = 150000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":150000,"display":"150,000"},{"text":"yearsHeld = 5 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"estimatedIRR = ((saleProceeds / initialInvestment) ^ (1 / yearsHeld) - 1) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8.44717711976986,"display":"8.4472"}]},{"id":"internal-rate-of-return","title":"Internal Rate of Return","description":"Calculate internal rate of return (IRR) from initial and final investment values.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.198Z"},"rows":[{"text":"# Investment Return (CAGR Proxy for IRR)","label":null,"prefix":null,"suffix":null,"section":"Investment Return (CAGR Proxy for IRR)","hero":false,"slider":null,"value":null,"display":null},{"text":"$initial investment = 10000 // 100..1M","label":null,"prefix":"$","suffix":null,"section":"Investment Return (CAGR Proxy for IRR)","hidden":false,"hero":false,"slider":{"min":100,"max":1000000,"step":10000},"value":10000,"display":"$10,000.00"},{"text":"$final value = 15000 // 100..2M","label":null,"prefix":"$","suffix":null,"section":"Investment Return (CAGR Proxy for IRR)","hidden":false,"hero":false,"slider":{"min":100,"max":2000000,"step":20000},"value":15000,"display":"$15,000.00"},{"text":"years held = 3 // years 1..30","label":null,"prefix":null,"suffix":"years","section":"Investment Return (CAGR Proxy for IRR)","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":3,"display":"3"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"internal rate of return = ((final value / initial investment)^(1 / years held) - 1) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":14.471424255333181,"display":"14.4714"},{"text":"$total profit = final value - initial investment","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":5000,"display":"$5,000.00"},{"text":"total return percentage = (final value / initial investment - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"doubling time = 72 / internal rate of return // years (approx)","label":null,"prefix":null,"suffix":"years (approx)","section":"Result","hidden":false,"hero":false,"slider":null,"value":4.975322313107205,"display":"4.9753"}]},{"id":"intrinsic-motivation-ratio","title":"Intrinsic Motivation Ratio","description":"Calculate the intrinsic-to-total motivation ratio from internal and external rewards.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.198Z"},"rows":[{"text":"internal_rewards = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"external_rewards = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"motivation_ratio = internal_rewards / (internal_rewards + external_rewards)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.7142857142857143,"display":"0.7143"}]},{"id":"inventory-carrying-cost","title":"Inventory Carrying Cost","description":"Determine the total cost of holding inventory in your facility.","category":"business","icon":"box","tags":["inventory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.199Z"},"rows":[{"text":"averageInventoryValue = 200000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"carryingCostPercentage = 25 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"annualInventoryCarryingCost = averageInventoryValue * (carryingCostPercentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":50000,"display":"50,000"}]},{"id":"inventory-days-on-hand","title":"Inventory Days On Hand","description":"Calculate inventory days on hand from average inventory and COGS.","category":"business","icon":"briefcase","tags":["inventory","business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.199Z"},"rows":[{"text":"average_inventory = 500000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"cost_of_goods_sold = 2000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000000,"display":"2,000,000"},{"text":"inventory_days = (average_inventory / cost_of_goods_sold) * 365","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":91.25,"display":"91.25"}]},{"id":"inventory-space-weight-capacity","title":"Inventory Space Weight Capacity","description":"Calculate remaining inventory weight capacity.","category":"productivity","icon":"archive","tags":["gaming","inventory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.199Z"},"rows":[{"text":"# Inventory Settings","label":null,"prefix":null,"suffix":null,"section":"Inventory Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"max weight = 200","label":null,"prefix":null,"suffix":null,"section":"Inventory Settings","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"current items weight = 145","label":null,"prefix":null,"suffix":null,"section":"Inventory Settings","hidden":false,"hero":false,"slider":null,"value":145,"display":"145"},{"text":"new item weight = 10","label":null,"prefix":null,"suffix":null,"section":"Inventory Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"new item quantity = 3","label":null,"prefix":null,"suffix":null,"section":"Inventory Settings","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_new_weight = new item weight * new item quantity","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"remaining capacity = max weight - (current items weight + total_new_weight)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":25,"display":"25"}]},{"id":"inventory-turnover-ratio-logistics","title":"Inventory Turnover Ratio","description":"Measure how often inventory is replaced during a specific period.","category":"business","icon":"refresh-cw","tags":["inventory","turnover","logistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.199Z"},"rows":[{"text":"costOfGoodsSold = 500000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"averageInventoryValue = 100000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"turnoverRatio = costOfGoodsSold / averageInventoryValue","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"inventory-turnover","title":"Inventory Turnover","description":"Calculate inventory turnover ratio and days to sell inventory.","category":"business","icon":"briefcase","tags":["inventory","turnover","business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.200Z"},"rows":[{"text":"# Inventory Data","label":null,"prefix":null,"suffix":null,"section":"Inventory Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$cost of goods sold = 250000 // 0..5M","label":null,"prefix":"$","suffix":null,"section":"Inventory Data","hidden":false,"hero":false,"slider":{"min":0,"max":5000000,"step":50000},"value":250000,"display":"$250,000.00"},{"text":"$beginning inventory = 40000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Inventory Data","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":40000,"display":"$40,000.00"},{"text":"$ending inventory = 60000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Inventory Data","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":60000,"display":"$60,000.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_average_inventory = (beginning inventory + ending inventory) / 2","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":50000,"display":"$50,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"inventory turnover ratio = cost of goods sold / average_inventory // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"days to sell inventory = 365 / inventory turnover ratio","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":73,"display":"73"},{"text":"efficiency = if(inventory turnover ratio > 6, \"High\", if(inventory turnover ratio > 3, \"Average\", \"Low\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Average","display":"Average"}]},{"id":"inverse-trig","title":"Inverse Trig","description":"Compute arcsin, arccos, arctan of a ratio (result in degrees).","category":"formulas","icon":"sigma","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.200Z"},"rows":[{"text":"# Ratio","label":null,"prefix":null,"suffix":null,"section":"Ratio","hero":false,"slider":null,"value":null,"display":null},{"text":"ratio = 0.5 // -1..1 by 0.01","label":null,"prefix":null,"suffix":null,"section":"Ratio","hidden":false,"hero":false,"slider":{"min":-1,"max":1,"step":0.01},"value":0.5,"display":"0.5"},{"text":"# Inverse trig (degrees)","label":null,"prefix":null,"suffix":null,"section":"Inverse trig (degrees)","hero":false,"slider":null,"value":null,"display":null},{"text":"arcsin_deg = asin(ratio) // @hero @label(arcsin)","label":"arcsin","prefix":null,"suffix":null,"section":"Inverse trig (degrees)","hidden":false,"hero":true,"slider":null,"value":30.000000000000004,"display":"30"},{"text":"arccos_deg = acos(ratio) // @hero @label(arccos)","label":"arccos","prefix":null,"suffix":null,"section":"Inverse trig (degrees)","hidden":false,"hero":true,"slider":null,"value":60.00000000000001,"display":"60"},{"text":"arctan_deg = atan(ratio) // @hero @label(arctan)","label":"arctan","prefix":null,"suffix":null,"section":"Inverse trig (degrees)","hidden":false,"hero":true,"slider":null,"value":26.56505117707799,"display":"26.5651"}]},{"id":"invoice-late-fee","title":"Invoice Late Fee","description":"Calculate interest owed on a late invoice.","category":"business","icon":"file-text","tags":["fee","interest"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.200Z"},"rows":[{"text":"# Invoice Details","label":null,"prefix":null,"suffix":null,"section":"Invoice Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$invoice amount = 5000 // 100..1M","label":null,"prefix":"$","suffix":null,"section":"Invoice Details","hidden":false,"hero":false,"slider":{"min":100,"max":1000000,"step":10000},"value":5000,"display":"$5,000.00"},{"text":"annual interest rate = 18 // % 0..36","label":null,"prefix":null,"suffix":"%","section":"Invoice Details","hidden":false,"hero":false,"slider":{"min":0,"max":36,"step":1},"value":18,"display":"18"},{"text":"days late = 45 // 1..365","label":null,"prefix":null,"suffix":null,"section":"Invoice Details","hidden":false,"hero":false,"slider":{"min":1,"max":365,"step":1},"value":45,"display":"45"},{"text":"# Interest Calculation","label":null,"prefix":null,"suffix":null,"section":"Interest Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_daily_rate = annual interest rate / 100 / 365","label":null,"prefix":null,"suffix":null,"section":"Interest Calculation","hidden":true,"hero":false,"slider":null,"value":0.0004931506849315068,"display":"0.0004932"},{"text":"$interest owed = round(invoice amount * daily_rate * days late * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Interest Calculation","hidden":false,"hero":false,"slider":null,"value":110.96,"display":"$110.96"},{"text":"$total due = round((invoice amount + interest owed) * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Interest Calculation","hidden":false,"hero":true,"slider":null,"value":5110.96,"display":"$5,110.96"},{"text":"# Rates","label":null,"prefix":null,"suffix":null,"section":"Rates","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly rate = round(annual interest rate / 12 * 100) / 100 // %","label":null,"prefix":null,"suffix":"%","section":"Rates","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"daily rate display = round(daily_rate * 100 * 10000) / 10000 // % @label(Daily rate)","label":"Daily rate","prefix":null,"suffix":"%","section":"Rates","hidden":false,"hero":false,"slider":null,"value":0.0493,"display":"0.0493"},{"text":"# If Payment Delayed Further","label":null,"prefix":null,"suffix":null,"section":"If Payment Delayed Further","hero":false,"slider":null,"value":null,"display":null},{"text":"$interest at 60 days = round(invoice amount * daily_rate * 60 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"If Payment Delayed Further","hidden":false,"hero":false,"slider":null,"value":147.95,"display":"$147.95"},{"text":"$interest at 90 days = round(invoice amount * daily_rate * 90 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"If Payment Delayed Further","hidden":false,"hero":false,"slider":null,"value":221.92,"display":"$221.92"}]},{"id":"ip-subnet-mask-calculator","title":"Ip Subnet Mask Calculator","description":"Calculate total and usable IP addresses in a CIDR subnet.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.201Z"},"rows":[{"text":"# Subnet Prefix","label":null,"prefix":null,"suffix":null,"section":"Subnet Prefix","hero":false,"slider":null,"value":null,"display":null},{"text":"cidr prefix = 24 // /0..32","label":null,"prefix":null,"suffix":"/0..32","section":"Subnet Prefix","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_bits_remaining = 32 - cidr prefix","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"total addresses = 2 ^ bits_remaining // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":256,"display":"256"},{"text":"usable hosts = total addresses - 2 // (subtract network and broadcast) @hero","label":null,"prefix":null,"suffix":"(subtract network and broadcast)","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":254,"display":"254"}]},{"id":"ip-v4-to-binary","title":"Ip V4 To Binary","description":"Convert an IPv4 address to its decimal integer value.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.201Z"},"rows":[{"text":"# IP Octets","label":null,"prefix":null,"suffix":null,"section":"IP Octets","hero":false,"slider":null,"value":null,"display":null},{"text":"octet 1 = 192 // 0..255","label":null,"prefix":null,"suffix":null,"section":"IP Octets","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":192,"display":"192"},{"text":"octet 2 = 168 // 0..255","label":null,"prefix":null,"suffix":null,"section":"IP Octets","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":168,"display":"168"},{"text":"octet 3 = 1 // 0..255","label":null,"prefix":null,"suffix":null,"section":"IP Octets","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":1,"display":"1"},{"text":"octet 4 = 1 // 0..255","label":null,"prefix":null,"suffix":null,"section":"IP Octets","hidden":false,"hero":false,"slider":{"min":0,"max":255,"step":1},"value":1,"display":"1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"decimal value = (octet 1 * 2^24) + (octet 2 * 2^16) + (octet 3 * 2^8) + octet 4","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3232235777,"display":"3,232,235,777"}]},{"id":"ironman-finish-time-estimate","title":"Ironman Finish Time Estimate","description":"Estimate Ironman finish time in hours from swim, bike, run, and transition times.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.201Z"},"rows":[{"text":"swim_time_minutes = 75","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"bike_time_minutes = 360","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"run_time_minutes = 270","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":270,"display":"270"},{"text":"transition_time_minutes = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero total_finish_time_hours = (swim_time_minutes + bike_time_minutes + run_time_minutes + transition_time_minutes) / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12.083333333333334,"display":"12.0833"}]},{"id":"irrigation-run-time","title":"Irrigation Run Time","description":"Calculate how many minutes to run sprinklers for target depth.","category":"everyday","icon":"sprinklers","tags":["garden","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.202Z"},"rows":[{"text":"target_water_depth_mm = 25 // mm (typically 1 inch per week)","label":null,"prefix":null,"suffix":"mm (typically 1 inch per week)","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"sprinkler_output_liters_per_minute = 10 // liters per minute","label":null,"prefix":null,"suffix":"liters per minute","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"area_square_meters = 100 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"total_liters_needed = target_water_depth_mm * area_square_meters // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"@hero run_time_minutes = total_liters_needed / sprinkler_output_liters_per_minute // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":250,"display":"250"}]},{"id":"item-enhancement-success-rate","title":"Item Enhancement Success Rate","description":"Calculate success rate for item enhancement levels.","category":"math","icon":"zap","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.202Z"},"rows":[{"text":"# Enhancement Settings","label":null,"prefix":null,"suffix":null,"section":"Enhancement Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current enhancement level = 7","label":null,"prefix":null,"suffix":null,"section":"Enhancement Settings","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"base success rate percent = 100","label":null,"prefix":null,"suffix":null,"section":"Enhancement Settings","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"decay rate per level = 10 // %","label":null,"prefix":null,"suffix":"%","section":"Enhancement Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"final success rate percent = base success rate percent - (current enhancement level * decay rate per level)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"iv-drip-rate","title":"Iv Drip Rate","description":"Calculate IV drip rate in drops per minute from volume, time, and drop factor.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.202Z"},"rows":[{"text":"# Infusion Details","label":null,"prefix":null,"suffix":null,"section":"Infusion Details","hero":false,"slider":null,"value":null,"display":null},{"text":"total volume = 1000 // ml 50..3k","label":null,"prefix":null,"suffix":"ml","section":"Infusion Details","hidden":false,"hero":false,"slider":{"min":50,"max":3000,"step":50},"value":1000,"display":"1,000"},{"text":"time duration = 8 // hours 1..24","label":null,"prefix":null,"suffix":"hours","section":"Infusion Details","hidden":false,"hero":false,"slider":{"min":1,"max":24,"step":1},"value":8,"display":"8"},{"text":"drop factor = 20 // gtt/ml 10..60","label":null,"prefix":null,"suffix":"gtt/ml","section":"Infusion Details","hidden":false,"hero":false,"slider":{"min":10,"max":60,"step":1},"value":20,"display":"20"},{"text":"# Formula","label":null,"prefix":null,"suffix":null,"section":"Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"total minutes = time duration * 60","label":null,"prefix":null,"suffix":null,"section":"Formula","hidden":false,"hero":false,"slider":null,"value":480,"display":"480"},{"text":"iv drip rate = (total volume * drop factor) / total minutes // gtt/min @hero","label":null,"prefix":null,"suffix":"gtt/min","section":"Formula","hidden":false,"hero":true,"slider":null,"value":41.666666666666664,"display":"41.6667"},{"text":"# Hourly Rate","label":null,"prefix":null,"suffix":null,"section":"Hourly Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"flow rate ml per hour = total volume / time duration","label":null,"prefix":null,"suffix":null,"section":"Hourly Rate","hidden":false,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"drops per second = iv drip rate / 60","label":null,"prefix":null,"suffix":null,"section":"Hourly Rate","hidden":false,"hero":false,"slider":null,"value":0.6944444444444444,"display":"0.6944"},{"text":"ml per minute = total volume / total minutes","label":null,"prefix":null,"suffix":null,"section":"Hourly Rate","hidden":false,"hero":false,"slider":null,"value":2.0833333333333335,"display":"2.0833"}]},{"id":"jupiter-weight-comparison","title":"Jupiter Weight Comparison","description":"Calculate your equivalent weight on Jupiter from Earth weight and gravity ratio.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.202Z"},"rows":[{"text":"earth_weight_pounds = 150","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"jupiter_gravity_ratio = 2.528","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.528,"display":"2.528"},{"text":"jupiter_weight = earth_weight_pounds * jupiter_gravity_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":379.2,"display":"379.2"}]},{"id":"kerning-spacing-pixel-multiplier","title":"Kerning Spacing Pixel Multiplier","description":"Calculate character kerning spacing in pixels from font size and multiplier.","category":"design","icon":"palette","tags":["pixel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.203Z"},"rows":[{"text":"font_size = 24 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"kerning_multiplier = 0.05 // relative to font size","label":null,"prefix":null,"suffix":"relative to font size","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"@hero character_spacing_pixels = font_size * kerning_multiplier // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":1.2,"display":"1.2"}]},{"id":"kinetic-energy-relativistic","title":"Kinetic Energy Relativistic","description":"Calculate relativistic kinetic energy of an object near the speed of light.","category":"education","icon":"book-open","tags":["relativistic"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.203Z"},"rows":[{"text":"mass = 1 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"velocity = 0.5 // fraction of light speed (c)","label":null,"prefix":null,"suffix":"fraction of light speed (c)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_c = 299792458 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":true,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"_v = velocity * c","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":149896229,"display":"149,896,229"},{"text":"_gamma = 1 / sqrt(1 - (v/c)^2)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":1.1547005383792517,"display":"1.1547"},{"text":"@hero relativistic_kinetic_energy = (gamma - 1) * mass * c^2 // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":13903791002172618,"display":"13,903,791,002,172,618"}]},{"id":"kinetic-energy","title":"Kinetic Energy","description":"KE = ½ · m · v² — kinetic energy of a moving object.","category":"formulas","icon":"zap","tags":["physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.203Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"mass = 10 // kg 0.001..10k","label":null,"prefix":null,"suffix":"kg","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":10000,"step":100},"value":10,"display":"10"},{"text":"velocity = 5 // m/s 0..1k","label":null,"prefix":null,"suffix":"m/s","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":5,"display":"5"},{"text":"# Kinetic energy","label":null,"prefix":null,"suffix":null,"section":"Kinetic energy","hero":false,"slider":null,"value":null,"display":null},{"text":"kinetic_energy = 0.5 * mass * velocity^2 // @label(KE) @suffix(J)","label":"KE","prefix":null,"suffix":null,"section":"Kinetic energy","hidden":false,"hero":true,"slider":null,"value":125,"display":"125"}]},{"id":"kinetic-friction-force","title":"Kinetic Friction Force","description":"Calculate kinetic friction force from normal force and friction coefficient.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.204Z"},"rows":[{"text":"normal_force = 100 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"coefficient_of_kinetic_friction = 0.3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"@hero kinetic_frictional_force = normal_force * coefficient_of_kinetic_friction // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"kitchen-converter","title":"Kitchen Converter","description":"Convert between cups, tablespoons, milliliters, ounces, grams, and temperatures.","category":"cooking","icon":"chef-hat","tags":["temperature"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.204Z"},"rows":[{"text":"# Volume Conversions","label":null,"prefix":null,"suffix":null,"section":"Volume Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"cups = 2 // cups 0.25..20 by 0.25","label":null,"prefix":null,"suffix":"cups","section":"Volume Conversions","hidden":false,"hero":false,"slider":{"min":0.25,"max":20,"step":0.25},"value":2,"display":"2"},{"text":"tablespoons = cups * 16 // tbsp","label":null,"prefix":null,"suffix":"tbsp","section":"Volume Conversions","hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"teaspoons = cups * 48 // tsp","label":null,"prefix":null,"suffix":"tsp","section":"Volume Conversions","hidden":false,"hero":false,"slider":null,"value":96,"display":"96"},{"text":"fluid ounces = cups * 8 // fl oz","label":null,"prefix":null,"suffix":"fl oz","section":"Volume Conversions","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"milliliters = cups * 236.588 // mL @hero","label":null,"prefix":null,"suffix":"mL","section":"Volume Conversions","hidden":false,"hero":true,"slider":null,"value":473.176,"display":"473.176"},{"text":"liters = milliliters / 1000 // L","label":null,"prefix":null,"suffix":"L","section":"Volume Conversions","hidden":false,"hero":false,"slider":null,"value":0.473176,"display":"0.4732"},{"text":"# Weight Conversions","label":null,"prefix":null,"suffix":null,"section":"Weight Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"weight in ounces = 8 // oz 0.5..128 by 0.5","label":null,"prefix":null,"suffix":"oz","section":"Weight Conversions","hidden":false,"hero":false,"slider":{"min":0.5,"max":128,"step":0.5},"value":8,"display":"8"},{"text":"grams = weight_in_ounces * 28.3495 // g","label":null,"prefix":null,"suffix":"g","section":"Weight Conversions","hidden":false,"hero":false,"slider":null,"value":226.796,"display":"226.796"},{"text":"kilograms = grams / 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":"Weight Conversions","hidden":false,"hero":false,"slider":null,"value":0.226796,"display":"0.2268"},{"text":"pounds = weight_in_ounces / 16 // lbs","label":null,"prefix":null,"suffix":"lbs","section":"Weight Conversions","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"# Temperature","label":null,"prefix":null,"suffix":null,"section":"Temperature","hero":false,"slider":null,"value":null,"display":null},{"text":"fahrenheit = 350 // °F 100..550 by 5","label":null,"prefix":null,"suffix":"°F","section":"Temperature","hidden":false,"hero":false,"slider":{"min":100,"max":550,"step":5},"value":350,"display":"350"},{"text":"celsius = (fahrenheit - 32) * 5 / 9 // °C","label":null,"prefix":null,"suffix":"°C","section":"Temperature","hidden":false,"hero":false,"slider":null,"value":176.66666666666666,"display":"176.6667"},{"text":"gas mark approx = (celsius - 121) / 14","label":null,"prefix":null,"suffix":null,"section":"Temperature","hidden":false,"hero":false,"slider":null,"value":3.976190476190476,"display":"3.9762"}]},{"id":"kitchen-island-clearance","title":"Kitchen Island Clearance","description":"Calculate total floor footprint including aisle clearance.","category":"design","icon":"layout","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.204Z"},"rows":[{"text":"island_width_inches = 36 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":36,"display":"36"},{"text":"island_length_inches = 72 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":72,"display":"72"},{"text":"surrounding_aisle_clearance_inches = 42 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":42,"display":"42"},{"text":"@hero total_footprint_square_inches = (island_width_inches + 2 * surrounding_aisle_clearance_inches) * (island_length_inches + 2 * surrounding_aisle_clearance_inches) // sq inches","label":null,"prefix":null,"suffix":"sq inches","section":null,"hidden":false,"hero":true,"slider":null,"value":18720,"display":"18,720"},{"text":"total_footprint_square_feet = total_footprint_square_inches / 144 // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":null,"hidden":false,"hero":false,"slider":null,"value":130,"display":"130"}]},{"id":"knitting-stitch-calculator","title":"Knitting Stitch Calculator","description":"Calculate total stitches needed for a knitting project from gauge and width.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.204Z"},"rows":[{"text":"# Gauge (from swatch)","label":null,"prefix":null,"suffix":null,"section":"Gauge (from swatch)","hero":false,"slider":null,"value":null,"display":null},{"text":"stitches in swatch = 20","label":null,"prefix":null,"suffix":null,"section":"Gauge (from swatch)","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"swatch width inches = 4","label":null,"prefix":null,"suffix":null,"section":"Gauge (from swatch)","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"# Project","label":null,"prefix":null,"suffix":null,"section":"Project","hero":false,"slider":null,"value":null,"display":null},{"text":"desired width inches = 20","label":null,"prefix":null,"suffix":null,"section":"Project","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_stitches_per_inch = stitches in swatch / swatch width inches","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total stitches needed = desired width inches * stitches_per_inch","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"knitting-yarn-weight-gauge","title":"Knitting Yarn Weight Gauge","description":"Calculate yards per 100 grams of yarn from total length and weight.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.205Z"},"rows":[{"text":"total_yards = 200 // yards","label":null,"prefix":null,"suffix":"yards","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"weight_grams = 100 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero yards_per_100g = (total_yards / weight_grams) * 100 // yards","label":null,"prefix":null,"suffix":"yards","section":null,"hidden":false,"hero":true,"slider":null,"value":200,"display":"200"}]},{"id":"kombucha-first-ferment-sugar","title":"Kombucha First Ferment Sugar","description":"Calculate sugar grams needed for a kombucha first ferment from tea volume.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.205Z"},"rows":[{"text":"tea_volume_liters = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"sugar_grams_per_liter = 70","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"total_sugar_needed_grams = tea_volume_liters * sugar_grams_per_liter","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":280,"display":"280"}]},{"id":"kyc-verification-time","title":"KYC Verification Time","description":"Estimate the total time to verify a new customer's identity.","category":"other","icon":"user-check","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.205Z"},"rows":[{"text":"documentCollectionDays = 2 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"reviewProcessDays = 3 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"approvalWaitDays = 1 // day","label":null,"prefix":null,"suffix":"day","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"totalKYCTime = documentCollectionDays + reviewProcessDays + approvalWaitDays","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6,"display":"6"}]},{"id":"landfill-waste-volume-density","title":"Landfill Waste Volume Density","description":"Calculate the volume of waste based on its weight and density.","category":"science","icon":"trash-2","tags":["eco","waste"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.206Z"},"rows":[{"text":"waste_weight_kg = 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"compacted_density_kg_per_cubic_meter = 500 // kg per m3","label":null,"prefix":null,"suffix":"kg per m3","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"@hero landfill_volume_cubic_meters = waste_weight_kg / compacted_density_kg_per_cubic_meter // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"last-mile-delivery-time","title":"Last-Mile Delivery Time","description":"Project total delivery time including transit and multiple stops.","category":"business","icon":"truck","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.206Z"},"rows":[{"text":"distanceToDestination = 15 // miles","label":null,"prefix":null,"suffix":"miles","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"averageDeliverySpeed = 25 // miles per hour","label":null,"prefix":null,"suffix":"miles per hour","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"stopsInRoute = 5 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"timePerStop = 3 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"_transitTimeMinutes = (distanceToDestination / averageDeliverySpeed) * 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":36,"display":"36"},{"text":"_stopTimeMinutes = stopsInRoute * timePerStop","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"totalDeliveryTime = transitTimeMinutes + stopTimeMinutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":51,"display":"51"}]},{"id":"latent-heat-phase-change","title":"Latent Heat Phase Change","description":"Calculate energy required for a phase change using latent heat of fusion.","category":"education","icon":"book-open","tags":["heat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.206Z"},"rows":[{"text":"mass = 2 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"latent_heat_of_fusion = 334000 // J/kg (ice to water)","label":null,"prefix":null,"suffix":"J/kg (ice to water)","section":null,"hidden":false,"hero":false,"slider":null,"value":334000,"display":"334,000"},{"text":"@hero energy_required = mass * latent_heat_of_fusion // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":668000,"display":"668,000"}]},{"id":"law-of-cosines","title":"Law of Cosines","description":"Find the third side of a triangle: c² = a² + b² − 2ab·cos C.","category":"formulas","icon":"triangle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.206Z"},"rows":[{"text":"# Two sides and the included angle (degrees)","label":null,"prefix":null,"suffix":null,"section":"Two sides and the included angle (degrees)","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Two sides and the included angle (degrees)","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"b = 7 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Two sides and the included angle (degrees)","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":7,"display":"7"},{"text":"angle_c = 60 // 0..180","label":null,"prefix":null,"suffix":null,"section":"Two sides and the included angle (degrees)","hidden":false,"hero":false,"slider":{"min":0,"max":180,"step":1},"value":60,"display":"60"},{"text":"# Third side","label":null,"prefix":null,"suffix":null,"section":"Third side","hero":false,"slider":null,"value":null,"display":null},{"text":"c_squared = a^2 + b^2 - 2 * a * b * cos(angle_c deg) // @label(c²)","label":"c²","prefix":null,"suffix":null,"section":"Third side","hidden":false,"hero":false,"slider":null,"value":38.99999999999999,"display":"39"},{"text":"c = sqrt(c_squared) // @label(Side c)","label":"Side c","prefix":null,"suffix":null,"section":"Third side","hidden":false,"hero":true,"slider":null,"value":6.244997998398397,"display":"6.245"}]},{"id":"law-of-sines","title":"Law of Sines","description":"Solve for an unknown side using the law of sines: a/sin A = b/sin B.","category":"formulas","icon":"triangle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.207Z"},"rows":[{"text":"# Known: side a, opposite angle A; angle B opposite unknown side b (degrees)","label":null,"prefix":null,"suffix":null,"section":"Known: side a, opposite angle A; angle B opposite unknown side b (degrees)","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Known: side a, opposite angle A; angle B opposite unknown side b (degrees)","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"angle_a = 30 // 0..180","label":null,"prefix":null,"suffix":null,"section":"Known: side a, opposite angle A; angle B opposite unknown side b (degrees)","hidden":false,"hero":false,"slider":{"min":0,"max":180,"step":1},"value":30,"display":"30"},{"text":"angle_b = 60 // 0..180","label":null,"prefix":null,"suffix":null,"section":"Known: side a, opposite angle A; angle B opposite unknown side b (degrees)","hidden":false,"hero":false,"slider":{"min":0,"max":180,"step":1},"value":60,"display":"60"},{"text":"# Unknown side b","label":null,"prefix":null,"suffix":null,"section":"Unknown side b","hero":false,"slider":null,"value":null,"display":null},{"text":"b = a * sin(angle_b deg) / sin(angle_a deg)","label":null,"prefix":null,"suffix":null,"section":"Unknown side b","hidden":false,"hero":true,"slider":null,"value":17.320508075688775,"display":"17.3205"}]},{"id":"lawn-mowing-time-estimator","title":"Lawn Mowing Time Estimator","description":"Estimate lawn mowing time from area, mower width, and walking speed.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.207Z"},"rows":[{"text":"lawn_area_square_feet = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"mower_width_inches = 21","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":21,"display":"21"},{"text":"mowing_speed_miles_per_hour = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"mowing_efficiency_percentage = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"mowing_speed_feet_per_minute = mowing_speed_miles_per_hour * 5280 / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":264,"display":"264"},{"text":"effective_mower_width_feet = (mower_width_inches / 12) * (mowing_efficiency_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.4,"display":"1.4"},{"text":"area_mowed_per_minute = effective_mower_width_feet * mowing_speed_feet_per_minute","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":369.6,"display":"369.6"},{"text":"estimated_mowing_time_minutes = lawn_area_square_feet / area_mowed_per_minute","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":13.528138528138529,"display":"13.5281"}]},{"id":"lcm-least-common-multiple","title":"LCM (Least Common Multiple)","description":"Find the least common multiple of two integers: LCM(a, b) = |a·b| / GCD(a, b).","category":"formulas","icon":"sigma","tags":["number-theory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.207Z"},"rows":[{"text":"# Two integers","label":null,"prefix":null,"suffix":null,"section":"Two integers","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 12 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Two integers","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":12,"display":"12"},{"text":"b = 18 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Two integers","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":18,"display":"18"},{"text":"# LCM","label":null,"prefix":null,"suffix":null,"section":"LCM","hero":false,"slider":null,"value":null,"display":null},{"text":"result = lcm(a, b) // @label(LCM)","label":"LCM","prefix":null,"suffix":null,"section":"LCM","hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"lean-body-mass","title":"Lean Body Mass","description":"Calculate lean body mass using the Boer formula from weight, height, and sex.","category":"health","icon":"activity","tags":["body","mass","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.207Z"},"rows":[{"text":"# Measurements","label":null,"prefix":null,"suffix":null,"section":"Measurements","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 100..400","label":null,"prefix":null,"suffix":"lbs","section":"Measurements","hidden":false,"hero":false,"slider":{"min":100,"max":400,"step":1},"value":180,"display":"180"},{"text":"height = 70 // inches 48..84","label":null,"prefix":null,"suffix":"inches","section":"Measurements","hidden":false,"hero":false,"slider":{"min":48,"max":84,"step":1},"value":70,"display":"70"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Measurements","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Boer Formula","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"height cm = height * 2.54","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":177.8,"display":"177.8"},{"text":"lean body mass male = 0.407 * weight kg + 0.267 * height cm - 19.2","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":61.50274992,"display":"61.5027"},{"text":"lean body mass female = 0.252 * weight kg + 0.473 * height cm - 48.3","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":56.37433312,"display":"56.3743"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"lean body mass kg = is male * lean body mass male + (1 - is male) * lean body mass female","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":61.50274992,"display":"61.5027"},{"text":"lean body mass lbs = lean body mass kg * 2.20462","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":135.5901925286304,"display":"135.5902"}]},{"id":"lease-buyback-analysis","title":"Lease Buyback Analysis","description":"Analyze profit potential of buying out a car lease versus market value.","category":"other","icon":"calculator","tags":["lease"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.208Z"},"rows":[{"text":"# Lease Buyback","label":null,"prefix":null,"suffix":null,"section":"Lease Buyback","hero":false,"slider":null,"value":null,"display":null},{"text":"$lease residual value = 22000 // 5k..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":5000,"max":100000,"step":500},"value":22000,"display":"$22,000.00"},{"text":"$estimated market value = 26000 // 5k..120k by 500","label":null,"prefix":"$","suffix":null,"section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":5000,"max":120000,"step":500},"value":26000,"display":"$26,000.00"},{"text":"$purchase fees and taxes = 1800 // 0..10k","label":null,"prefix":"$","suffix":null,"section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":1800,"display":"$1,800.00"},{"text":"loan interest rate = 6.0 // % 0..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.1},"value":6,"display":"6"},{"text":"loan term = 48 // months 12..84","label":null,"prefix":null,"suffix":"months","section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":12,"max":84,"step":1},"value":48,"display":"48"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_total_cost_to_buy = lease residual value + purchase fees and taxes","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":23800,"display":"$23,800.00"},{"text":"$_instant_equity = estimated market value - total_cost_to_buy","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2200,"display":"$2,200.00"},{"text":"_r = loan interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":0.005,"display":"0.005"},{"text":"$_monthly_loan_payment = total_cost_to_buy * (r * (1 + r)^loan term) / ((1 + r)^loan term - 1)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":558.9436913408782,"display":"$558.94"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$potential profit on resale = estimated market value - total_cost_to_buy // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":2200,"display":"$2,200.00"},{"text":"$total amount paid over loan = monthly_loan_payment * loan term","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":26829.297184362153,"display":"$26,829.30"},{"text":"equity percentage = (instant_equity / estimated market value) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":8.461538461538462,"display":"8.4615"},{"text":"decision = if(instant_equity > 0, \"Buyback likely profitable\", \"Market value too low\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Buyback likely profitable","display":"Buyback likely profitable"}]},{"id":"led-bulb-co2-reduction","title":"LED Bulb CO2 Reduction","description":"Calculate CO2 and cost savings from switching to LED bulbs.","category":"science","icon":"lightbulb","tags":["eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.208Z"},"rows":[{"text":"old_bulb_watts = 60 // watts","label":null,"prefix":null,"suffix":"watts","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"led_bulb_watts = 9 // watts","label":null,"prefix":null,"suffix":"watts","section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"hours_used_per_day = 5 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"days_per_year = 365 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":365,"display":"365"},{"text":"annual_kwh_saved = (old_bulb_watts - led_bulb_watts) * hours_used_per_day * days_per_year / 1000 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":93.075,"display":"93.075"},{"text":"co2_per_kwh = 0.4 // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.4,"display":"0.4"},{"text":"@hero annual_co2_reduction_kg = annual_kwh_saved * co2_per_kwh // kg CO2","label":null,"prefix":null,"suffix":"kg CO2","section":null,"hidden":false,"hero":true,"slider":null,"value":37.23,"display":"37.23"}]},{"id":"led-resistor-calculator","title":"Led Resistor Calculator","description":"Calculate required resistor ohms for an LED from supply voltage and current.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.208Z"},"rows":[{"text":"supply_voltage = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"led_forward_voltage = 3.2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.2,"display":"3.2"},{"text":"desired_led_current_milliamps = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"required_resistor_ohms = (supply_voltage - led_forward_voltage) / (desired_led_current_milliamps / 1000)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":440,"display":"440"}]},{"id":"legal-fee-hourly-vs-flat-rate","title":"Legal Fee Comparison","description":"Compare total costs between hourly billing and flat rate quotes.","category":"other","icon":"dollar-sign","tags":["fee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.209Z"},"rows":[{"text":"hourlyRate = 250 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"estimatedHours = 10 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"flatRateQuote = 2000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"_totalHourlyCost = hourlyRate * estimatedHours","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"savingsWithFlatRate = totalHourlyCost - flatRateQuote","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":500,"display":"500"}]},{"id":"legal-retainer-burn-rate","title":"Legal Retainer Burn Rate","description":"Track how many months your legal retainer will last.","category":"other","icon":"trending-down","tags":["burn"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.209Z"},"rows":[{"text":"initialRetainer = 10000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"monthlyFees = 2500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"monthsRemaining = initialRetainer / monthlyFees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"lenses-focal-length-equation","title":"Lenses Focal Length Equation","description":"Calculate lens focal length and magnification from object and image distances.","category":"education","icon":"book-open","tags":["equation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.209Z"},"rows":[{"text":"object_distance = 10 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"image_distance = 15 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"@hero focal_length = 1 / (1 / object_distance + 1 / image_distance) // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":true,"slider":null,"value":5.999999999999999,"display":"6"},{"text":"@hero magnification = -image_distance / object_distance","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":-1.5,"display":"-1.5"}]},{"id":"life-expectancy-simple","title":"Life Expectancy Simple","description":"Calculate remaining years, weeks, and days based on current age and life expectancy.","category":"math","icon":"infinity","tags":["life","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.210Z"},"rows":[{"text":"# Personal Stats","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"current age = 30 // 0..100","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":30,"display":"30"},{"text":"average life expectancy = 79 // years","label":null,"prefix":null,"suffix":"years","section":"Personal Stats","hidden":false,"hero":false,"slider":null,"value":79,"display":"79"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"remaining years = average life expectancy - current age // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":49,"display":"49"},{"text":"weeks remaining = remaining years * 52.17 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":2556.33,"display":"2,556.33"},{"text":"days remaining = remaining years * 365.25 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":17897.25,"display":"17,897.25"}]},{"id":"life-insurance-needs-estimator","title":"Life Insurance Needs Estimator","description":"Estimate total life insurance needs from income replacement years and total debt.","category":"other","icon":"calculator","tags":["life","insurance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.210Z"},"rows":[{"text":"annual_income = 80000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80000,"display":"80,000"},{"text":"years_to_replace = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"total_debt = 250000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250000,"display":"250,000"},{"text":"total_needs = (annual_income * years_to_replace) + total_debt","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1050000,"display":"1,050,000"}]},{"id":"life-path-number","title":"Life Path Number","description":"Calculate a numerology life path number from birth date digits.","category":"everyday","icon":"smile","tags":["life"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.210Z"},"rows":[{"text":"birth_day = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"birth_month = 6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"birth_year = 1990","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1990,"display":"1,990"},{"text":"sum_digits = (birth_day // 10 + birth_day % 10) + (birth_month // 10 + birth_month % 10) + (birth_year // 1000 + (birth_year // 100) % 10 + (birth_year // 10) % 10 + birth_year % 10)","label":null,"prefix":null,"suffix":"10 + birth_day % 10) + (birth_month // 10 + birth_month % 10) + (birth_year // 1000 + (birth_year // 100) % 10 + (birth_year // 10) % 10 + birth_year % 10); life_path = (sum_digits - 1) % 9 + 1; life_path // number","section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"lift-coefficient","title":"Lift Coefficient","description":"Calculate aircraft lift coefficient from lift force, velocity, and wing area.","category":"other","icon":"calculator","tags":["coefficient"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.211Z"},"rows":[{"text":"# Aerodynamics","label":null,"prefix":null,"suffix":null,"section":"Aerodynamics","hero":false,"slider":null,"value":null,"display":null},{"text":"lift force = 2500 // lbs 100..100k","label":null,"prefix":null,"suffix":"lbs","section":"Aerodynamics","hidden":false,"hero":false,"slider":{"min":100,"max":100000,"step":1000},"value":2500,"display":"2,500"},{"text":"air density = 0.0023769 // slugs/ft3 (standard sea level)","label":null,"prefix":null,"suffix":"slugs/ft3 (standard sea level)","section":"Aerodynamics","hidden":false,"hero":false,"slider":null,"value":0.0023769,"display":"0.002377"},{"text":"velocity = 150 // knots 40..600","label":null,"prefix":null,"suffix":"knots","section":"Aerodynamics","hidden":false,"hero":false,"slider":{"min":40,"max":600,"step":1},"value":150,"display":"150"},{"text":"wing area = 200 // sq ft 50..2k","label":null,"prefix":null,"suffix":"sq ft","section":"Aerodynamics","hidden":false,"hero":false,"slider":{"min":50,"max":2000,"step":20},"value":200,"display":"200"},{"text":"# Formula: Cl = L / (0.5 * rho * v^2 * S)","label":null,"prefix":null,"suffix":null,"section":"Formula: Cl = L / (0.5 * rho * v^2 * S)","hero":false,"slider":null,"value":null,"display":null},{"text":"velocity fps = velocity * 1.68781","label":null,"prefix":null,"suffix":null,"section":"Formula: Cl = L / (0.5 * rho * v^2 * S)","hidden":false,"hero":false,"slider":null,"value":253.1715,"display":"253.1715"},{"text":"dynamic pressure = 0.5 * air density * (velocity fps^2)","label":null,"prefix":null,"suffix":null,"section":"Formula: Cl = L / (0.5 * rho * v^2 * S)","hidden":false,"hero":false,"slider":null,"value":76.17466350753853,"display":"76.1747"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"lift coefficient = lift force / (dynamic pressure * wing area) // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0.1640965568395711,"display":"0.1641"},{"text":"# Efficiency","label":null,"prefix":null,"suffix":null,"section":"Efficiency","hero":false,"slider":null,"value":null,"display":null},{"text":"required cl = lift coefficient","label":null,"prefix":null,"suffix":null,"section":"Efficiency","hidden":false,"hero":false,"slider":null,"value":0.1640965568395711,"display":"0.1641"},{"text":"stall cl = 1.5 // typical","label":null,"prefix":null,"suffix":"typical","section":"Efficiency","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"angle of attack estimate = lift coefficient / 0.1 // degrees (linear range)","label":null,"prefix":null,"suffix":"degrees (linear range)","section":"Efficiency","hidden":false,"hero":false,"slider":null,"value":1.640965568395711,"display":"1.641"},{"text":"induced drag coefficient = (lift coefficient^2) / (pi * 0.8 * 9) // estimate","label":null,"prefix":null,"suffix":"estimate","section":"Efficiency","hidden":false,"hero":false,"slider":null,"value":0.001190464825744835,"display":"0.00119"}]},{"id":"lift-to-drag-ratio","title":"Lift to Drag Ratio","description":"Calculate aerodynamic efficiency and glide angle.","category":"engineering","icon":"plane","tags":["engineering","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.211Z"},"rows":[{"text":"lift_force_newtons = 5000 // N","label":null,"prefix":null,"suffix":"N","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"drag_force_newtons = 250 // N","label":null,"prefix":null,"suffix":"N","section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"@hero lift_to_drag_ratio = lift_force_newtons / drag_force_newtons","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"glide_angle_degrees = atan(1 / lift_to_drag_ratio) * 180 / 3.14159 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":164.0038772405421,"display":"164.0039"}]},{"id":"light-exposure-ev","title":"Light Exposure Ev","description":"Calculate photographic exposure value (EV) from f-number, shutter speed, and ISO.","category":"math","icon":"lightbulb","tags":["exposure","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.211Z"},"rows":[{"text":"# Camera Settings","label":null,"prefix":null,"suffix":null,"section":"Camera Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"f number = 2.8 // 1..64","label":null,"prefix":null,"suffix":null,"section":"Camera Settings","hidden":false,"hero":false,"slider":{"min":1,"max":64,"step":1},"value":2.8,"display":"2.8"},{"text":"shutter speed = 0.01 // seconds (e.g., 1/100)","label":null,"prefix":null,"suffix":"seconds (e.g., 1/100)","section":"Camera Settings","hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"iso = 100 // 50..12.8k","label":null,"prefix":null,"suffix":null,"section":"Camera Settings","hidden":false,"hero":false,"slider":{"min":50,"max":12800,"step":200},"value":100,"display":"100"},{"text":"# EV Formula: log2(N^2 / t)","label":null,"prefix":null,"suffix":null,"section":"EV Formula: log2(N^2 / t)","hero":false,"slider":null,"value":null,"display":null},{"text":"ev at iso one hundred = log2(f number^2 / shutter speed)","label":null,"prefix":null,"suffix":null,"section":"EV Formula: log2(N^2 / t)","hidden":false,"hero":false,"slider":null,"value":9.614709844115207,"display":"9.6147"},{"text":"iso adjustment = log2(iso / 100)","label":null,"prefix":null,"suffix":null,"section":"EV Formula: log2(N^2 / t)","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"exposure value = ev at iso one hundred - iso adjustment // @hero","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":9.614709844115207,"display":"9.6147"},{"text":"# Typical Benchmarks","label":null,"prefix":null,"suffix":null,"section":"Typical Benchmarks","hero":false,"slider":null,"value":null,"display":null},{"text":"bright sunny = 15","label":null,"prefix":null,"suffix":null,"section":"Typical Benchmarks","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"cloudy bright = 13","label":null,"prefix":null,"suffix":null,"section":"Typical Benchmarks","hidden":false,"hero":false,"slider":null,"value":13,"display":"13"},{"text":"indoor home = 5","label":null,"prefix":null,"suffix":null,"section":"Typical Benchmarks","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"moonlight = -3","label":null,"prefix":null,"suffix":null,"section":"Typical Benchmarks","hidden":false,"hero":false,"slider":null,"value":-3,"display":"-3"},{"text":"night street = 8","label":null,"prefix":null,"suffix":null,"section":"Typical Benchmarks","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"}]},{"id":"limit-evaluation","title":"Limit Evaluation","description":"Evaluate lim x→a [c·xⁿ] = c·aⁿ for continuous polynomial functions.","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.211Z"},"rows":[{"text":"# Function: f(x) = c · x^n","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n","hero":false,"slider":null,"value":null,"display":null},{"text":"c = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"n = 2 // -10..10","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":1},"value":2,"display":"2"},{"text":"a = 5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":5,"display":"5"},{"text":"# Limit (substitution for continuous functions)","label":null,"prefix":null,"suffix":null,"section":"Limit (substitution for continuous functions)","hero":false,"slider":null,"value":null,"display":null},{"text":"limit_value = c * a^n // @label(lim f(x))","label":"lim f(x)","prefix":null,"suffix":null,"section":"Limit (substitution for continuous functions)","hidden":false,"hero":true,"slider":null,"value":75,"display":"75"}]},{"id":"line-equation-from-two-points","title":"Line Equation From Two Points","description":"Find the slope and y-intercept of the line through two points.","category":"formulas","icon":"trending-up","tags":["equation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.212Z"},"rows":[{"text":"# Two points","label":null,"prefix":null,"suffix":null,"section":"Two points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"y1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"x2 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"y2 = 10 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":10,"display":"10"},{"text":"# Slope and intercept","label":null,"prefix":null,"suffix":null,"section":"Slope and intercept","hero":false,"slider":null,"value":null,"display":null},{"text":"slope = (y2 - y1) / (x2 - x1) // @hero @label(Slope m)","label":"Slope m","prefix":null,"suffix":null,"section":"Slope and intercept","hidden":false,"hero":true,"slider":null,"value":2,"display":"2"},{"text":"y_intercept = y1 - slope * x1 // @hero @label(y-Intercept b)","label":"y-Intercept b","prefix":null,"suffix":null,"section":"Slope and intercept","hidden":false,"hero":true,"slider":null,"value":0,"display":"0"}]},{"id":"line-height-optimal-typography","title":"Line Height Optimal Typography","description":"Calculate optimal CSS line-height from font size and ratio.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.212Z"},"rows":[{"text":"font_size = 16 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"optimal_ratio = 1.5 // (1.4 to 1.6 recommended)","label":null,"prefix":null,"suffix":"(1.4 to 1.6 recommended)","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"@hero line_height_pixels = font_size * optimal_ratio // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":24,"display":"24"}]},{"id":"linear-regression-slope","title":"Linear Regression Slope","description":"Slope of the least-squares regression line: m = cov(X,Y) / var(X).","category":"formulas","icon":"trending-up","tags":["slope","statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.212Z"},"rows":[{"text":"# Dataset X","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"x2 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"x3 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"x4 = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"x5 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset X","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# Dataset Y","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hero":false,"slider":null,"value":null,"display":null},{"text":"y1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"y2 = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"y3 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"y4 = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"y5 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Dataset Y","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# Means","label":null,"prefix":null,"suffix":null,"section":"Means","hero":false,"slider":null,"value":null,"display":null},{"text":"_n = 5","label":null,"prefix":null,"suffix":null,"section":"Means","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"mean_x = (x1 + x2 + x3 + x4 + x5) / n","label":null,"prefix":null,"suffix":null,"section":"Means","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"mean_y = (y1 + y2 + y3 + y4 + y5) / n","label":null,"prefix":null,"suffix":null,"section":"Means","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"# Slope (least squares)","label":null,"prefix":null,"suffix":null,"section":"Slope (least squares)","hero":false,"slider":null,"value":null,"display":null},{"text":"_num = (x1 - mean_x) * (y1 - mean_y) + (x2 - mean_x) * (y2 - mean_y) + (x3 - mean_x) * (y3 - mean_y) + (x4 - mean_x) * (y4 - mean_y) + (x5 - mean_x) * (y5 - mean_y)","label":null,"prefix":null,"suffix":null,"section":"Slope (least squares)","hidden":true,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"_denom = (x1 - mean_x)^2 + (x2 - mean_x)^2 + (x3 - mean_x)^2 + (x4 - mean_x)^2 + (x5 - mean_x)^2","label":null,"prefix":null,"suffix":null,"section":"Slope (least squares)","hidden":true,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"slope = num / denom // @hero","label":null,"prefix":null,"suffix":null,"section":"Slope (least squares)","hidden":false,"hero":true,"slider":null,"value":0.6,"display":"0.6"},{"text":"intercept = mean_y - slope * mean_x // @hero","label":null,"prefix":null,"suffix":null,"section":"Slope (least squares)","hidden":false,"hero":true,"slider":null,"value":2.2,"display":"2.2"}]},{"id":"liquid-net-worth-calculator","title":"Liquid Net Worth Calculator","description":"Calculate liquid net worth from cash, investments, and discounted retirement accounts.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.213Z"},"rows":[{"text":"cash_savings = 15000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"stock_investments = 50000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"retirement_accounts = 100000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"retirement_liquidity_factor = 0.70","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"liquid_net_worth = cash_savings + stock_investments + (retirement_accounts * retirement_liquidity_factor)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":135000,"display":"135,000"}]},{"id":"livestock-feed-conversion-ratio","title":"Livestock Feed Conversion Ratio","description":"Calculate feed conversion ratio from total feed consumed and weight gained.","category":"finance","icon":"ratio","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.213Z"},"rows":[{"text":"total_feed_consumed_pounds = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"total_weight_gain_pounds = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero feed_conversion_ratio = total_feed_consumed_pounds / total_weight_gain_pounds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"loan-payment","title":"Loan Payment","description":"Monthly payment for a fixed-rate loan: P = L · i / (1 − (1 + i)^−n).","category":"formulas","icon":"dollar-sign","tags":["mortgage","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.213Z"},"rows":[{"text":"# Loan terms","label":null,"prefix":null,"suffix":null,"section":"Loan terms","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan_amount = 300000 // 1k..10M","label":null,"prefix":"$","suffix":null,"section":"Loan terms","hidden":false,"hero":false,"slider":{"min":1000,"max":10000000,"step":100000},"value":300000,"display":"$300,000.00"},{"text":"annual_rate = 6.5 // % 0..30","label":null,"prefix":null,"suffix":"%","section":"Loan terms","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":6.5,"display":"6.5"},{"text":"$term_years = 30 // 1..50","label":null,"prefix":"$","suffix":null,"section":"Loan terms","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":30,"display":"$30.00"},{"text":"# Monthly payment","label":null,"prefix":null,"suffix":null,"section":"Monthly payment","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly_rate = annual_rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Monthly payment","hidden":false,"hero":false,"slider":null,"value":0.005416666666666667,"display":"0.005417"},{"text":"total_payments = term_years * 12","label":null,"prefix":null,"suffix":null,"section":"Monthly payment","hidden":false,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"$monthly_payment = loan_amount * monthly_rate / (1 - (1 + monthly_rate)^(-total_payments)) // @hero","label":null,"prefix":"$","suffix":null,"section":"Monthly payment","hidden":false,"hero":true,"slider":null,"value":1896.2040704788958,"display":"$1,896.20"},{"text":"$total_paid = monthly_payment * total_payments","label":null,"prefix":"$","suffix":null,"section":"Monthly payment","hidden":false,"hero":false,"slider":null,"value":682633.4653724026,"display":"$682,633.47"},{"text":"$total_interest = total_paid - loan_amount","label":null,"prefix":"$","suffix":null,"section":"Monthly payment","hidden":false,"hero":false,"slider":null,"value":382633.4653724026,"display":"$382,633.47"}]},{"id":"loan-payoff","title":"Loan Payoff","description":"Find out how long to pay off a loan and how much interest you'll pay total.","category":"finance","icon":"credit-card","tags":["loan","payoff","debt","interest"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.213Z"},"rows":[{"text":"# Loan Details","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hero":false,"slider":null,"value":null,"display":null},{"text":"current balance = $25000 // 500..200k by 500","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":500,"max":200000,"step":500},"value":25000,"display":"$25,000.00"},{"text":"annual interest rate = 6.5 // % 0.5..30 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":0.5,"max":30,"step":0.1},"value":6.5,"display":"6.5"},{"text":"monthly payment = $500 // 50..5k by 25","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":50,"max":5000,"step":25},"value":500,"display":"$500.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly rate = annual_interest_rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":0.005416666666666667,"display":"0.005417"},{"text":"months to pay off = -ln(1 - (current_balance * monthly_rate / monthly_payment)) / ln(1 + monthly_rate)","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":58.46909802580794,"display":"58.4691"},{"text":"years to pay off = months_to_pay_off / 12 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":4.872424835483995,"display":"4.8724"},{"text":"# Cost Summary","label":null,"prefix":null,"suffix":null,"section":"Cost Summary","hero":false,"slider":null,"value":null,"display":null},{"text":"$total amount paid = monthly_payment * months_to_pay_off","label":null,"prefix":"$","suffix":null,"section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":29234.54901290397,"display":"$29,234.55"},{"text":"$total interest paid = total_amount_paid - current_balance","label":null,"prefix":"$","suffix":null,"section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":4234.54901290397,"display":"$4,234.55"},{"text":"interest as pct of principal = (total_interest_paid / current_balance) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":16.93819605161588,"display":"16.9382"}]},{"id":"loan-to-value-ratio-advanced","title":"Loan-to-Value Ratio","description":"Calculate the current LTV ratio based on loan balance and value.","category":"real-estate","icon":"percent","tags":["loan"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.213Z"},"rows":[{"text":"mortgageBalance = 240000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":240000,"display":"240,000"},{"text":"appraisedValue = 300000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":300000,"display":"300,000"},{"text":"ltvPercent = (mortgageBalance / appraisedValue) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"logarithm-any-base","title":"Logarithm Any Base","description":"Compute log base b of x: log_b(x) = ln(x) / ln(b).","category":"formulas","icon":"sigma","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.214Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"x = 100 // 0.001..1M","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":1000000,"step":10000},"value":100,"display":"100"},{"text":"base = 10 // 2..1k","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":2,"max":1000,"step":1},"value":10,"display":"10"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"result = log(x) / log(base) // @label(log_b(x))","label":"log_b(x)","prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"logarithm-base-10","title":"Logarithm Base 10","description":"Calculate the base-10 logarithm of a number.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.214Z"},"rows":[{"text":"number = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"result = log10(number)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"logic-gate-propagation-delay","title":"Logic Gate Propagation Delay","description":"Calculate total delay and max frequency for logic paths.","category":"engineering","icon":"cpu","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.215Z"},"rows":[{"text":"number_of_gates_in_path = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"delay_per_gate_nanoseconds = 0.5 // ns","label":null,"prefix":null,"suffix":"ns","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"@hero total_propagation_delay_nanoseconds = number_of_gates_in_path * delay_per_gate_nanoseconds // ns","label":null,"prefix":null,"suffix":"ns","section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"max_frequency_mhz = 1000 / total_propagation_delay_nanoseconds // MHz","label":null,"prefix":null,"suffix":"MHz","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"}]},{"id":"logistics-labor-productivity","title":"Logistics Labor Productivity","description":"Measure units processed per labor hour in your warehouse.","category":"business","icon":"users","tags":["logistics","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.215Z"},"rows":[{"text":"totalUnitsProcessed = 10000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"totalLaborHours = 500 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"productivityRate = totalUnitsProcessed / totalLaborHours","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"loot-drop-probability","title":"Loot Drop Probability","description":"Calculate the probability of getting a specific loot drop.","category":"math","icon":"gift","tags":["gaming","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.215Z"},"rows":[{"text":"# Loot Settings","label":null,"prefix":null,"suffix":null,"section":"Loot Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base drop rate percent = 2 // %","label":null,"prefix":null,"suffix":"%","section":"Loot Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"luck stat = 50","label":null,"prefix":null,"suffix":null,"section":"Loot Settings","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"luck multiplier = 0.01","label":null,"prefix":null,"suffix":null,"section":"Loot Settings","hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"adjusted drop rate percent = base drop rate percent * (1 + (luck stat * luck multiplier))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"}]},{"id":"loss-aversion-impact","title":"Loss Aversion Impact","description":"Quantify perceived pain from loss using a loss-aversion coefficient.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.216Z"},"rows":[{"text":"potential_gain = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"potential_loss = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"loss_aversion_coefficient = 2.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.25,"display":"2.25"},{"text":"perceived_pain = potential_loss * loss_aversion_coefficient","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":225,"display":"225"},{"text":"perceived_pleasure = potential_gain","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"}]},{"id":"lottery-odds-calculator","title":"Lottery Odds Calculator","description":"Calculate lottery odds (1-in-X) for picking k correct numbers from n.","category":"other","icon":"calculator","tags":["odds"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.216Z"},"rows":[{"text":"# Lottery Parameters","label":null,"prefix":null,"suffix":null,"section":"Lottery Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 49 // total numbers e.g. 49","label":null,"prefix":null,"suffix":"total numbers e.g. 49","section":"Lottery Parameters","hidden":false,"hero":false,"slider":null,"value":49,"display":"49"},{"text":"k = 6 // picks e.g. 6","label":null,"prefix":null,"suffix":"picks e.g. 6","section":"Lottery Parameters","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"# Calculation — combinations n! / (k! * (n-k)!)","label":null,"prefix":null,"suffix":null,"section":"Calculation — combinations n! / (k! * (n-k)!)","hero":false,"slider":null,"value":null,"display":null},{"text":"# For 6 of 49, it is roughly 1 in 13.9M","label":null,"prefix":null,"suffix":null,"section":"For 6 of 49, it is roughly 1 in 13.9M","hero":false,"slider":null,"value":null,"display":null},{"text":"odds = factorial(n) / (factorial(k) * factorial(n - k)) // 1 in X","label":null,"prefix":null,"suffix":"1 in X","section":"For 6 of 49, it is roughly 1 in 13.9M","hidden":false,"hero":true,"slider":null,"value":13983816.000000006,"display":"13,983,816"}]},{"id":"ltv-ratio","title":"Ltv Ratio","description":"Calculate loan-to-value (LTV) ratio and equity from loan amount and property value.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.217Z"},"rows":[{"text":"# Loan and Value","label":null,"prefix":null,"suffix":null,"section":"Loan and Value","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan amount = 320000 // 10k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Loan and Value","hidden":false,"hero":false,"slider":{"min":10000,"max":1000000,"step":5000},"value":320000,"display":"$320,000.00"},{"text":"$appraised property value = 400000 // 10k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Loan and Value","hidden":false,"hero":false,"slider":{"min":10000,"max":1000000,"step":5000},"value":400000,"display":"$400,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"loan to value ratio = (loan amount / appraised property value) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":80,"display":"80"},{"text":"$equity in property = appraised property value - loan amount","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":80000,"display":"$80,000.00"},{"text":"status = if(loan to value ratio > 80, \"PMI likely required\", \"Standard loan\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Standard loan","display":"Standard loan"}]},{"id":"lumber-estimator","title":"Lumber Estimator","description":"Calculate board feet and lumber costs for your woodworking project.","category":"construction","icon":"hammer","tags":["woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.217Z"},"rows":[{"text":"# Board Dimensions","label":null,"prefix":null,"suffix":null,"section":"Board Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"board length = 8 // ft 2..20","label":null,"prefix":null,"suffix":"ft","section":"Board Dimensions","hidden":false,"hero":false,"slider":{"min":2,"max":20,"step":0.2},"value":8,"display":"8"},{"text":"nominal width = 6 // in 2..12","label":null,"prefix":null,"suffix":"in","section":"Board Dimensions","hidden":false,"hero":false,"slider":{"min":2,"max":12,"step":0.1},"value":6,"display":"6"},{"text":"nominal thickness = 2 // in 1..6","label":null,"prefix":null,"suffix":"in","section":"Board Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":2,"display":"2"},{"text":"# Quantity","label":null,"prefix":null,"suffix":null,"section":"Quantity","hero":false,"slider":null,"value":null,"display":null},{"text":"number of boards = 24 // 1..200","label":null,"prefix":null,"suffix":null,"section":"Quantity","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":24,"display":"24"},{"text":"# Board Feet","label":null,"prefix":null,"suffix":null,"section":"Board Feet","hero":false,"slider":null,"value":null,"display":null},{"text":"board feet per board = (nominal_thickness * nominal_width * board_length * 12) / 144","label":null,"prefix":null,"suffix":null,"section":"Board Feet","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"total board feet = board_feet_per_board * number_of_boards // @hero","label":null,"prefix":null,"suffix":null,"section":"Board Feet","hidden":false,"hero":true,"slider":null,"value":192,"display":"192"},{"text":"# Cost","label":null,"prefix":null,"suffix":null,"section":"Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$price per board foot = 6.50 // 1..25 by 0.25","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":{"min":1,"max":25,"step":0.25},"value":6.5,"display":"$6.50"},{"text":"$total lumber cost = total_board_feet * price_per_board_foot","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":1248,"display":"$1,248.00"},{"text":"waste allowance = 15 // % 0..30","label":null,"prefix":null,"suffix":"%","section":"Cost","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":15,"display":"15"},{"text":"$cost with waste = total_lumber_cost * (1 + waste_allowance / 100)","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":1435.2,"display":"$1,435.20"}]},{"id":"lunar-phase-percentage","title":"Lunar Phase Percentage","description":"Calculate moon illumination percentage from days since the last new moon.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.217Z"},"rows":[{"text":"days_since_new_moon = 14.7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":14.7,"display":"14.7"},{"text":"lunar_cycle_days = 29.53","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":29.53,"display":"29.53"},{"text":"illumination_percentage = (1 - cos(2 * pi * days_since_new_moon / lunar_cycle_days)) / 2 * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.07448252690752,"display":"0.0745"}]},{"id":"mac-address-format","title":"Mac Address Format","description":"Calculate the total number of possible MAC addresses from 48-bit address space.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.218Z"},"rows":[{"text":"# MAC address is 48 bits","label":null,"prefix":null,"suffix":null,"section":"MAC address is 48 bits","hero":false,"slider":null,"value":null,"display":null},{"text":"_bits = 48","label":null,"prefix":null,"suffix":null,"section":"MAC address is 48 bits","hidden":true,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"total possible addresses = 2 ^ bits","label":null,"prefix":null,"suffix":null,"section":"MAC address is 48 bits","hidden":false,"hero":true,"slider":null,"value":281474976710656,"display":"281,474,976,710,656"},{"text":"_oui_bits = 24 // Organizationally Unique Identifier","label":null,"prefix":null,"suffix":"Organizationally Unique Identifier","section":"MAC address is 48 bits","hidden":true,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"_nic_specific_bits = 24","label":null,"prefix":null,"suffix":null,"section":"MAC address is 48 bits","hidden":true,"hero":false,"slider":null,"value":24,"display":"24"}]},{"id":"mach-number-supersonic","title":"Mach Number Supersonic","description":"Calculate Mach number based on speed and altitude.","category":"science","icon":"plane","tags":["science","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.218Z"},"rows":[{"text":"object_speed_m_per_s = 600 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":600,"display":"600"},{"text":"ambient_temperature_celsius = -50 // C (high altitude)","label":null,"prefix":null,"suffix":"C (high altitude)","section":null,"hidden":false,"hero":false,"slider":null,"value":-50,"display":"-50"},{"text":"speed_of_sound = 331.3 * ((1 + ambient_temperature_celsius / 273.15)^0.5) // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":299.44652601450616,"display":"299.4465"},{"text":"@hero mach_number = object_speed_m_per_s / speed_of_sound","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.003696646562312,"display":"2.0037"}]},{"id":"macro-tracker","title":"Macro Tracker","description":"Split your daily calories into protein, carbs, and fat gram targets.","category":"health","icon":"chart-pie","tags":["protein"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.219Z"},"rows":[{"text":"# Daily Targets","label":null,"prefix":null,"suffix":null,"section":"Daily Targets","hero":false,"slider":null,"value":null,"display":null},{"text":"daily calorie target = 2000 // cal 1k..5k","label":null,"prefix":null,"suffix":"cal","section":"Daily Targets","hidden":false,"hero":false,"slider":{"min":1000,"max":5000,"step":50},"value":2000,"display":"2,000"},{"text":"# Macro Split","label":null,"prefix":null,"suffix":null,"section":"Macro Split","hero":false,"slider":null,"value":null,"display":null},{"text":"protein pct = 30 // % 5..60","label":null,"prefix":null,"suffix":"%","section":"Macro Split","hidden":false,"hero":false,"slider":{"min":5,"max":60,"step":1},"value":30,"display":"30"},{"text":"carbs pct = 40 // % 5..70","label":null,"prefix":null,"suffix":"%","section":"Macro Split","hidden":false,"hero":false,"slider":{"min":5,"max":70,"step":1},"value":40,"display":"40"},{"text":"fat pct = 100 - protein_pct - carbs_pct // %","label":null,"prefix":null,"suffix":"%","section":"Macro Split","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# Grams Per Day","label":null,"prefix":null,"suffix":null,"section":"Grams Per Day","hero":false,"slider":null,"value":null,"display":null},{"text":"protein = daily calorie target * protein pct / 100 / 4 // g @hero","label":null,"prefix":null,"suffix":"g","section":"Grams Per Day","hidden":false,"hero":true,"slider":null,"value":150,"display":"150"},{"text":"carbs = daily calorie target * carbs pct / 100 / 4 // g","label":null,"prefix":null,"suffix":"g","section":"Grams Per Day","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"fat = daily calorie target * fat pct / 100 / 9 // g","label":null,"prefix":null,"suffix":"g","section":"Grams Per Day","hidden":false,"hero":false,"slider":null,"value":66.66666666666667,"display":"66.6667"},{"text":"# Calorie Check","label":null,"prefix":null,"suffix":null,"section":"Calorie Check","hero":false,"slider":null,"value":null,"display":null},{"text":"total calories check = protein * 4 + carbs * 4 + fat * 9 // cal","label":null,"prefix":null,"suffix":"cal","section":"Calorie Check","hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"}]},{"id":"magic-formula-investing-rank","title":"Magic Formula Investing Rank","description":"Calculate a Magic Formula investing composite score from earnings yield and ROC.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.219Z"},"rows":[{"text":"earnings_yield = 0.12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"return_on_capital = 0.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"composite_score = earnings_yield + return_on_capital","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.37,"display":"0.37"}]},{"id":"magnetic-force-moving-charge","title":"Magnetic Force Moving Charge","description":"Calculate magnetic force on a moving charged particle in a magnetic field.","category":"education","icon":"book-open","tags":["charge"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.219Z"},"rows":[{"text":"charge = 1.6e-19 // Coulombs (proton)","label":null,"prefix":null,"suffix":"Coulombs (proton)","section":null,"hidden":false,"hero":false,"slider":null,"value":1.6e-19,"display":"1.6e-19"},{"text":"velocity = 1e6 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"magnetic_field = 0.5 // Tesla","label":null,"prefix":null,"suffix":"Tesla","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"angle_degrees = 90 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"@hero magnetic_force = charge * velocity * magnetic_field * sin(angle_degrees * pi / 180) // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":true,"slider":null,"value":2.1929706873635433e-15,"display":"2.193e-15"}]},{"id":"marathon-split-projector","title":"Marathon Split Projector","description":"Calculate per-mile split time needed to finish a marathon at a target time.","category":"productivity","icon":"clock","tags":["marathon","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.220Z"},"rows":[{"text":"target_finish_time_hours = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"target_finish_time_minutes = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"total_minutes = (target_finish_time_hours * 60) + target_finish_time_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"@hero mile_split_minutes = total_minutes / 26.2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.16030534351145,"display":"9.1603"}]},{"id":"marketing-cpa-calculator","title":"Marketing Cpa Calculator","description":"Calculate cost per acquisition (CPA) from total ad spend and conversions.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.220Z"},"rows":[{"text":"total_ad_spend = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"total_conversions = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"cost_per_acquisition = total_ad_spend / total_conversions","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"}]},{"id":"markup-calculator","title":"Markup Calculator","description":"Calculate selling price, profit, and margin from cost and markup.","category":"business","icon":"tag","tags":["profit"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.221Z"},"rows":[{"text":"# Product Cost","label":null,"prefix":null,"suffix":null,"section":"Product Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$cost = 45 // 0.01..10k","label":null,"prefix":"$","suffix":null,"section":"Product Cost","hidden":false,"hero":false,"slider":{"min":0.01,"max":10000,"step":100},"value":45,"display":"$45.00"},{"text":"markup percent = 60 // % 0..500","label":null,"prefix":null,"suffix":"%","section":"Product Cost","hidden":false,"hero":false,"slider":{"min":0,"max":500,"step":1},"value":60,"display":"60"},{"text":"# Selling Price","label":null,"prefix":null,"suffix":null,"section":"Selling Price","hero":false,"slider":null,"value":null,"display":null},{"text":"$markup amount = round(cost * markup percent / 100 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Selling Price","hidden":false,"hero":false,"slider":null,"value":27,"display":"$27.00"},{"text":"$selling price = round((cost + markup amount) * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Selling Price","hidden":false,"hero":true,"slider":null,"value":72,"display":"$72.00"},{"text":"$profit per unit = markup amount","label":null,"prefix":"$","suffix":null,"section":"Selling Price","hidden":false,"hero":false,"slider":null,"value":27,"display":"$27.00"},{"text":"# Margin Analysis","label":null,"prefix":null,"suffix":null,"section":"Margin Analysis","hero":false,"slider":null,"value":null,"display":null},{"text":"margin percent = round((markup amount / selling price) * 100 * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Margin Analysis","hidden":false,"hero":false,"slider":null,"value":37.5,"display":"37.5"},{"text":"multiplier = round(selling price / cost * 100) / 100 // @label(Price multiplier)","label":"Price multiplier","prefix":null,"suffix":null,"section":"Margin Analysis","hidden":false,"hero":false,"slider":null,"value":1.6,"display":"1.6"},{"text":"# Volume","label":null,"prefix":null,"suffix":null,"section":"Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"units sold = 100 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":100,"display":"100"},{"text":"$total revenue = selling price * units sold","label":null,"prefix":"$","suffix":null,"section":"Volume","hidden":false,"hero":false,"slider":null,"value":7200,"display":"$7,200.00"},{"text":"$total profit = profit per unit * units sold","label":null,"prefix":"$","suffix":null,"section":"Volume","hidden":false,"hero":false,"slider":null,"value":2700,"display":"$2,700.00"}]},{"id":"mars-weight-comparison","title":"Mars Weight Comparison","description":"Calculate your equivalent weight on Mars from Earth weight and gravity ratio.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.221Z"},"rows":[{"text":"earth_weight_pounds = 150","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"mars_gravity_ratio = 0.376","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.376,"display":"0.376"},{"text":"mars_weight = earth_weight_pounds * mars_gravity_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":56.4,"display":"56.4"}]},{"id":"mash-tun-water-volume","title":"Mash Tun Water Volume","description":"Calculate strike water gallons needed for a beer mash from grain weight and ratio.","category":"health","icon":"droplet","tags":["water","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.221Z"},"rows":[{"text":"grain_weight_pounds = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"water_to_grain_ratio_quarts_per_pound = 1.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.25,"display":"1.25"},{"text":"@hero total_strike_water_gallons = (grain_weight_pounds * water_to_grain_ratio_quarts_per_pound) / 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.75,"display":"3.75"}]},{"id":"matchstick-burn-speed","title":"Matchstick Burn Speed","description":"Calculate matchstick burn speed in cm per second from length and burn time.","category":"everyday","icon":"smile","tags":["burn"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.222Z"},"rows":[{"text":"match_length_cm = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"burn_time_seconds = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"burn_speed_cm_per_s = match_length_cm / burn_time_seconds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.2,"display":"0.2"}]},{"id":"matrix-2x2-determinant","title":"Matrix 2x2 Determinant","description":"Calculate the determinant of a 2x2 matrix from its four elements.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.222Z"},"rows":[{"text":"a = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"b = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"c = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"d = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"determinant = (a * d) - (b * c)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":-2,"display":"-2"}]},{"id":"matrix-2x2-inverse","title":"Matrix 2x2 Inverse","description":"Find the inverse of a 2×2 matrix: A⁻¹ = (1/det) · [[d, -b], [-c, a]].","category":"formulas","icon":"grid-2x2","tags":["linear-algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.223Z"},"rows":[{"text":"# Matrix [[a, b], [c, d]]","label":null,"prefix":null,"suffix":null,"section":"Matrix [[a, b], [c, d]]","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Matrix [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"b = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Matrix [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"c = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Matrix [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"d = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Matrix [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"# Determinant and inverse","label":null,"prefix":null,"suffix":null,"section":"Determinant and inverse","hero":false,"slider":null,"value":null,"display":null},{"text":"determinant = a * d - b * c","label":null,"prefix":null,"suffix":null,"section":"Determinant and inverse","hidden":false,"hero":false,"slider":null,"value":-2,"display":"-2"},{"text":"inv_a = d / determinant // @hero @label(A⁻¹[0,0])","label":"A⁻¹[0,0]","prefix":null,"suffix":null,"section":"Determinant and inverse","hidden":false,"hero":true,"slider":null,"value":-0.5,"display":"-0.5"},{"text":"inv_b = -b / determinant // @hero @label(A⁻¹[0,1])","label":"A⁻¹[0,1]","prefix":null,"suffix":null,"section":"Determinant and inverse","hidden":false,"hero":true,"slider":null,"value":1.5,"display":"1.5"},{"text":"inv_c = -c / determinant // @hero @label(A⁻¹[1,0])","label":"A⁻¹[1,0]","prefix":null,"suffix":null,"section":"Determinant and inverse","hidden":false,"hero":true,"slider":null,"value":1,"display":"1"},{"text":"inv_d = a / determinant // @hero @label(A⁻¹[1,1])","label":"A⁻¹[1,1]","prefix":null,"suffix":null,"section":"Determinant and inverse","hidden":false,"hero":true,"slider":null,"value":-2,"display":"-2"}]},{"id":"matrix-3x3-determinant","title":"Matrix 3x3 Determinant","description":"Calculate the determinant of a 3x3 matrix from its nine elements.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.223Z"},"rows":[{"text":"a = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"b = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"c = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"d = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"e = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"f = 6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"g = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"h = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"i = 9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"determinant = a*(e*i - f*h) - b*(d*i - f*g) + c*(d*h - e*g)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"}]},{"id":"matrix-multiplication-2x2","title":"Matrix Multiplication 2x2","description":"Multiply two 2×2 matrices: C = A · B.","category":"formulas","icon":"grid-2x2","tags":["linear-algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.224Z"},"rows":[{"text":"# Matrix A [[a, b], [c, d]]","label":null,"prefix":null,"suffix":null,"section":"Matrix A [[a, b], [c, d]]","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 1 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix A [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":1,"display":"1"},{"text":"b = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix A [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"c = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix A [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"d = 4 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix A [[a, b], [c, d]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":4,"display":"4"},{"text":"# Matrix B [[e, f], [g, h]]","label":null,"prefix":null,"suffix":null,"section":"Matrix B [[e, f], [g, h]]","hero":false,"slider":null,"value":null,"display":null},{"text":"e = 5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix B [[e, f], [g, h]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":5,"display":"5"},{"text":"f = 6 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix B [[e, f], [g, h]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":6,"display":"6"},{"text":"g = 7 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix B [[e, f], [g, h]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":7,"display":"7"},{"text":"h = 8 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Matrix B [[e, f], [g, h]]","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":8,"display":"8"},{"text":"# Product C = A · B","label":null,"prefix":null,"suffix":null,"section":"Product C = A · B","hero":false,"slider":null,"value":null,"display":null},{"text":"c00 = a * e + b * g // @hero @label(C[0,0])","label":"C[0,0]","prefix":null,"suffix":null,"section":"Product C = A · B","hidden":false,"hero":true,"slider":null,"value":19,"display":"19"},{"text":"c01 = a * f + b * h // @hero @label(C[0,1])","label":"C[0,1]","prefix":null,"suffix":null,"section":"Product C = A · B","hidden":false,"hero":true,"slider":null,"value":22,"display":"22"},{"text":"c10 = c * e + d * g // @hero @label(C[1,0])","label":"C[1,0]","prefix":null,"suffix":null,"section":"Product C = A · B","hidden":false,"hero":true,"slider":null,"value":43,"display":"43"},{"text":"c11 = c * f + d * h // @hero @label(C[1,1])","label":"C[1,1]","prefix":null,"suffix":null,"section":"Product C = A · B","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"maximum-allowable-offer","title":"Maximum Allowable Offer","description":"Calculate the maximum price an investor should pay for a flip.","category":"real-estate","icon":"shopping-cart","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.224Z"},"rows":[{"text":"afterRepairValue = 300000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":300000,"display":"300,000"},{"text":"repairCosts = 40000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":40000,"display":"40,000"},{"text":"profitMarginPercentage = 70 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"mao = (afterRepairValue * (profitMarginPercentage / 100)) - repairCosts","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":170000,"display":"170,000"}]},{"id":"mean","title":"Mean (Arithmetic Average)","description":"Find the arithmetic mean of a dataset: x̄ = Σxᵢ / n.","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.225Z"},"rows":[{"text":"# Data points","label":null,"prefix":null,"suffix":null,"section":"Data points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 10 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":10,"display":"10"},{"text":"x2 = 20 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":20,"display":"20"},{"text":"x3 = 30 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":30,"display":"30"},{"text":"x4 = 40 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":40,"display":"40"},{"text":"x5 = 50 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":50,"display":"50"},{"text":"# Mean","label":null,"prefix":null,"suffix":null,"section":"Mean","hero":false,"slider":null,"value":null,"display":null},{"text":"_n = 5","label":null,"prefix":null,"suffix":null,"section":"Mean","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"sum = x1 + x2 + x3 + x4 + x5","label":null,"prefix":null,"suffix":null,"section":"Mean","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"mean = sum / n","label":null,"prefix":null,"suffix":null,"section":"Mean","hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"meat-smoking-wood-required","title":"Meat Smoking Wood Required","description":"Estimate pounds of wood needed to smoke meat for a given duration.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.225Z"},"rows":[{"text":"smoke_time_hours = 6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"smoker_type_offset = 1 // dropdown({Offset: 1, Pellet: 0.5, Electric: 0.2})","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"pounds_per_hour = 2 * smoker_type_offset","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero total_wood_pounds = smoke_time_hours * pounds_per_hour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12,"display":"12"}]},{"id":"mechanical-torque-lever-arm","title":"Mechanical Torque Lever Arm","description":"Calculate mechanical torque from force, lever arm length, and angle.","category":"education","icon":"book-open","tags":["mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.225Z"},"rows":[{"text":"force = 50 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"lever_arm_length = 2 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"angle_degrees = 90 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"@hero torque = force * lever_arm_length * sin(angle_degrees * pi / 180) // Newton-meters","label":null,"prefix":null,"suffix":"Newton-meters","section":null,"hidden":false,"hero":true,"slider":null,"value":2.741213359204429,"display":"2.7412"}]},{"id":"median","title":"Median (5 values)","description":"Find the median of 5 values — the middle value after sorting. Enter values in any order.","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.225Z"},"rows":[{"text":"# Data points (any order)","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 7 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":7,"display":"7"},{"text":"x2 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"x3 = 9 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":9,"display":"9"},{"text":"x4 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"x5 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# For n=5 the median is the 3rd-largest value: take max-of-every 3-element min.","label":null,"prefix":null,"suffix":null,"section":"For n=5 the median is the 3rd-largest value: take max-of-every 3-element min.","hero":false,"slider":null,"value":null,"display":null},{"text":"median = max(min(x1, x2, x3), min(x1, x2, x4), min(x1, x2, x5), min(x1, x3, x4), min(x1, x3, x5), min(x1, x4, x5), min(x2, x3, x4), min(x2, x3, x5), min(x2, x4, x5), min(x3, x4, x5))","label":null,"prefix":null,"suffix":null,"section":"For n=5 the median is the 3rd-largest value: take max-of-every 3-element min.","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"medication-dosage-by-weight","title":"Medication Dosage By Weight","description":"Calculate total medication dose in mg and ml from weight-based dosage rate.","category":"health","icon":"activity","tags":["dosage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.226Z"},"rows":[{"text":"# Prescription Info","label":null,"prefix":null,"suffix":null,"section":"Prescription Info","hero":false,"slider":null,"value":null,"display":null},{"text":"dosage per kg = 15 // mg/kg 0.1..500","label":null,"prefix":null,"suffix":"mg/kg","section":"Prescription Info","hidden":false,"hero":false,"slider":{"min":0.1,"max":500,"step":5},"value":15,"display":"15"},{"text":"patient weight = 165 // lbs 5..400","label":null,"prefix":null,"suffix":"lbs","section":"Prescription Info","hidden":false,"hero":false,"slider":{"min":5,"max":400,"step":1},"value":165,"display":"165"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = patient weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":74.84268,"display":"74.8427"},{"text":"total dosage = dosage per kg * weight kg // mg @hero","label":null,"prefix":null,"suffix":"mg","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1122.6402,"display":"1,122.6402"},{"text":"# Liquid Form (Optional)","label":null,"prefix":null,"suffix":null,"section":"Liquid Form (Optional)","hero":false,"slider":null,"value":null,"display":null},{"text":"concentration = 100 // mg per 5ml","label":null,"prefix":null,"suffix":"mg per 5ml","section":"Liquid Form (Optional)","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"volume needed = (total dosage / concentration) * 5 // ml","label":null,"prefix":null,"suffix":"ml","section":"Liquid Form (Optional)","hidden":false,"hero":false,"slider":null,"value":56.13201,"display":"56.132"},{"text":"total grams = total dosage / 1000","label":null,"prefix":null,"suffix":null,"section":"Liquid Form (Optional)","hidden":false,"hero":false,"slider":null,"value":1.1226402,"display":"1.1226"}]},{"id":"meeting-cost-person-hour-total","title":"Meeting Cost Person Hour Total","description":"Calculate the total dollar cost of a meeting from attendees, rate, and duration.","category":"productivity","icon":"clock","tags":["meeting"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.226Z"},"rows":[{"text":"number_of_attendees = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"average_hourly_rate = 75 // dollars per hour","label":null,"prefix":null,"suffix":"dollars per hour","section":null,"hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"meeting_duration_minutes = 60 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"_duration_hours = meeting_duration_minutes / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero total_meeting_cost = number_of_attendees * average_hourly_rate * duration_hours // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":750,"display":"750"},{"text":"@hero total_person_hours = number_of_attendees * duration_hours // person-hours","label":null,"prefix":null,"suffix":"person-hours","section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"meeting-opportunity-cost-revenue","title":"Meeting Opportunity Cost Revenue","description":"Calculate the revenue opportunity cost of a meeting from attendee billable rates.","category":"productivity","icon":"clock","tags":["meeting","revenue"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.226Z"},"rows":[{"text":"number_of_attendees = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"average_revenue_per_hour_per_person = 200 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"meeting_duration_hours = 1.5 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"@hero total_opportunity_cost = number_of_attendees * average_revenue_per_hour_per_person * meeting_duration_hours // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1500,"display":"1,500"}]},{"id":"megapixels-to-print-dimensions","title":"Megapixels To Print Dimensions","description":"Calculate maximum print dimensions in inches from camera megapixels and DPI.","category":"design","icon":"palette","tags":["print"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.227Z"},"rows":[{"text":"megapixels = 24 // MP","label":null,"prefix":null,"suffix":"MP","section":null,"hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"aspect_ratio_width = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"aspect_ratio_height = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"dpi = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"_total_pixels = megapixels * 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":24000000,"display":"24,000,000"},{"text":"_pixel_width = sqrt(total_pixels * (aspect_ratio_width / aspect_ratio_height))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"_pixel_height = total_pixels / pixel_width","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"@hero print_width_inches = pixel_width / dpi // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"@hero print_height_inches = pixel_height / dpi // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":13.333333333333334,"display":"13.3333"}]},{"id":"memory-retention-forgetting-curve","title":"Memory Retention Forgetting Curve","description":"Calculate retention percentage after time elapsed using the forgetting curve.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.227Z"},"rows":[{"text":"time_days = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"retention_base = 0.9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.9,"display":"0.9"},{"text":"retention = retention_base * exp(-time_days / 10)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.44692677341226855,"display":"0.4469"}]},{"id":"mental-rotation-speed","title":"Mental Rotation Speed","description":"Calculate mental rotation speed in milliseconds per degree.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.227Z"},"rows":[{"text":"rotation_angle_degrees = 90","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"reaction_time_ms = 1500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"ms_per_degree = reaction_time_ms / rotation_angle_degrees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16.666666666666668,"display":"16.6667"}]},{"id":"metabolic-heat","title":"Metabolic Heat","description":"Convert daily calorie burn to watts, then to room heating output.","category":"health","icon":"flame","tags":["calories","heat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.228Z"},"rows":[{"text":"# Person","label":null,"prefix":null,"suffix":null,"section":"Person","hero":false,"slider":null,"value":null,"display":null},{"text":"daily kcal = 2100 // kcal/day 800..6k by 50","label":null,"prefix":null,"suffix":"kcal/day","section":"Person","hidden":false,"hero":false,"slider":{"min":800,"max":6000,"step":50},"value":2100,"display":"2,100"},{"text":"activity factor = 1.0 // 1..5 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Person","hidden":false,"hero":false,"slider":{"min":1,"max":5,"step":0.1},"value":1,"display":"1"},{"text":"# Conversion to Watts","label":null,"prefix":null,"suffix":null,"section":"Conversion to Watts","hero":false,"slider":null,"value":null,"display":null},{"text":"_joules_per_kcal = 4184","label":null,"prefix":null,"suffix":null,"section":"Conversion to Watts","hidden":true,"hero":false,"slider":null,"value":4184,"display":"4,184"},{"text":"_seconds_per_day = 86400","label":null,"prefix":null,"suffix":null,"section":"Conversion to Watts","hidden":true,"hero":false,"slider":null,"value":86400,"display":"86,400"},{"text":"watts at rest = round(daily kcal * joules_per_kcal / seconds_per_day, 1) // W @label(Heat output at rest)","label":"Heat output at rest","prefix":null,"suffix":"W","section":"Conversion to Watts","hidden":false,"hero":false,"slider":null,"value":101.7,"display":"101.7"},{"text":"watts active = round(watts at rest * activity factor, 1) // W @hero @label(Heat output now)","label":"Heat output now","prefix":null,"suffix":"W","section":"Conversion to Watts","hidden":false,"hero":true,"slider":null,"value":101.7,"display":"101.7"},{"text":"# Room Heating","label":null,"prefix":null,"suffix":null,"section":"Room Heating","hero":false,"slider":null,"value":null,"display":null},{"text":"people in room = 10 // 1..200","label":null,"prefix":null,"suffix":null,"section":"Room Heating","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":10,"display":"10"},{"text":"total watts = round(watts active * people in room, 0) // W @label(Total body heat in room)","label":"Total body heat in room","prefix":null,"suffix":"W","section":"Room Heating","hidden":false,"hero":false,"slider":null,"value":1017,"display":"1,017"},{"text":"btu per hour = round(total watts * 3.412, 0) // BTU/hr @label(Equivalent BTU/hr)","label":"Equivalent BTU/hr","prefix":null,"suffix":"BTU/hr","section":"Room Heating","hidden":false,"hero":false,"slider":null,"value":3470,"display":"3,470"}]},{"id":"methane-emissions-from-landfill","title":"Methane Emissions from Landfill","description":"Estimate methane and CO2e emissions from organic waste.","category":"science","icon":"wind","tags":["eco","emissions"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.228Z"},"rows":[{"text":"organic_waste_kg = 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"methane_yield_per_kg = 0.05 // kg methane","label":null,"prefix":null,"suffix":"kg methane","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"@hero total_methane_emissions_kg = organic_waste_kg * methane_yield_per_kg // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":50,"display":"50"},{"text":"co2_equivalent_factor = 25 // methane is 25x stronger than CO2","label":null,"prefix":null,"suffix":"methane is 25x stronger than CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"total_co2_equivalent_kg = total_methane_emissions_kg * co2_equivalent_factor // kg CO2e","label":null,"prefix":null,"suffix":"kg CO2e","section":null,"hidden":false,"hero":false,"slider":null,"value":1250,"display":"1,250"}]},{"id":"microscope-resolution","title":"Microscope Resolution","description":"Calculate the Abbe diffraction limit of a microscope from wavelength and numerical aperture.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.228Z"},"rows":[{"text":"# Optics","label":null,"prefix":null,"suffix":null,"section":"Optics","hero":false,"slider":null,"value":null,"display":null},{"text":"light wavelength = 550 // nm (green light)","label":null,"prefix":null,"suffix":"nm (green light)","section":"Optics","hidden":false,"hero":false,"slider":null,"value":550,"display":"550"},{"text":"numerical aperture = 1.25 // 0.1..1.4","label":null,"prefix":null,"suffix":null,"section":"Optics","hidden":false,"hero":false,"slider":{"min":0.1,"max":1.4,"step":0.02},"value":1.25,"display":"1.25"},{"text":"# Abbe Resolution Limit: d = lambda / (2 * NA)","label":null,"prefix":null,"suffix":null,"section":"Abbe Resolution Limit: d = lambda / (2 * NA)","hero":false,"slider":null,"value":null,"display":null},{"text":"resolution limit = light wavelength / (2 * numerical aperture) // nm @hero","label":null,"prefix":null,"suffix":"nm","section":"Abbe Resolution Limit: d = lambda / (2 * NA)","hidden":false,"hero":true,"slider":null,"value":220,"display":"220"},{"text":"# Theoretical Limits","label":null,"prefix":null,"suffix":null,"section":"Theoretical Limits","hero":false,"slider":null,"value":null,"display":null},{"text":"resolution in microns = resolution limit / 1000","label":null,"prefix":null,"suffix":null,"section":"Theoretical Limits","hidden":false,"hero":false,"slider":null,"value":0.22,"display":"0.22"},{"text":"max useful magnification = 1000 * numerical aperture","label":null,"prefix":null,"suffix":null,"section":"Theoretical Limits","hidden":false,"hero":false,"slider":null,"value":1250,"display":"1,250"},{"text":"empty magnification point = max useful magnification * 2","label":null,"prefix":null,"suffix":null,"section":"Theoretical Limits","hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"pixel size target = (resolution limit / 2) // Nyquist","label":null,"prefix":null,"suffix":"Nyquist","section":"Theoretical Limits","hidden":false,"hero":false,"slider":null,"value":110,"display":"110"}]},{"id":"mid-point-calculator","title":"Mid Point Calculator","description":"Calculate the midpoint of two (x, y) coordinates.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.228Z"},"rows":[{"text":"# Point 1","label":null,"prefix":null,"suffix":null,"section":"Point 1","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 0 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 1","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":0,"display":"0"},{"text":"y1 = 0 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 1","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":0,"display":"0"},{"text":"# Point 2","label":null,"prefix":null,"suffix":null,"section":"Point 2","hero":false,"slider":null,"value":null,"display":null},{"text":"x2 = 10 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":10,"display":"10"},{"text":"y2 = 20 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":20,"display":"20"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"midpoint x = (x1 + x2) / 2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"midpoint y = (y1 + y2) / 2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"midpoint-formula","title":"Midpoint Formula","description":"Find the midpoint of a line segment: M = ((x₁+x₂)/2, (y₁+y₂)/2).","category":"formulas","icon":"ruler","tags":["coordinate-geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.229Z"},"rows":[{"text":"# Two endpoints","label":null,"prefix":null,"suffix":null,"section":"Two endpoints","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two endpoints","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"y1 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two endpoints","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"x2 = 8 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two endpoints","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":8,"display":"8"},{"text":"y2 = 7 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two endpoints","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":7,"display":"7"},{"text":"# Midpoint","label":null,"prefix":null,"suffix":null,"section":"Midpoint","hero":false,"slider":null,"value":null,"display":null},{"text":"midpoint_x = (x1 + x2) / 2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Midpoint","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"midpoint_y = (y1 + y2) / 2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Midpoint","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"minecraft-item-stacks","title":"Minecraft Item Stacks","description":"Calculate how many 64-stacks and double chests a Minecraft item count fills.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.229Z"},"rows":[{"text":"# Item Count","label":null,"prefix":null,"suffix":null,"section":"Item Count","hero":false,"slider":null,"value":null,"display":null},{"text":"total items = 1000 // count","label":null,"prefix":null,"suffix":"count","section":"Item Count","hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"stacks = floor(total items / 64) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":15,"display":"15"},{"text":"remaining items = total items % 64 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":null,"display":null},{"text":"total double chests = floor(stacks / 54) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0,"display":"0"}]},{"id":"mirrors-reflection-magnification","title":"Mirrors Reflection Magnification","description":"Calculate image height through a curved mirror using the mirror equation.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.229Z"},"rows":[{"text":"object_height = 5 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"object_distance = 20 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"focal_length = 10 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"_image_distance = 1 / (1 / focal_length - 1 / object_distance)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero image_height = object_height * (-image_distance / object_distance) // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":true,"slider":null,"value":-5,"display":"-5"}]},{"id":"mma-takedown-success-rate","title":"MMA Takedown Success Rate","description":"Calculate MMA takedown success rate.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.230Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"takedowns landed = 3","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"takedown attempts = 8","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"takedown success rate percentage = (takedowns landed / takedown attempts) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":37.5,"display":"37.5"}]},{"id":"mode","title":"Mode (5 values)","description":"Count occurrences of each value among 5 entries to find the mode.","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.230Z"},"rows":[{"text":"# Data points","label":null,"prefix":null,"suffix":null,"section":"Data points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"x2 = 5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":5,"display":"5"},{"text":"x3 = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"x4 = 7 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":7,"display":"7"},{"text":"x5 = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"# Most-frequent value via count comparisons","label":null,"prefix":null,"suffix":null,"section":"Most-frequent value via count comparisons","hero":false,"slider":null,"value":null,"display":null},{"text":"count_x1 = (x1 == x1) + (x2 == x1) + (x3 == x1) + (x4 == x1) + (x5 == x1) // @label(Count of x₁)","label":"Count of x₁","prefix":null,"suffix":null,"section":"Most-frequent value via count comparisons","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"count_x2 = (x1 == x2) + (x2 == x2) + (x3 == x2) + (x4 == x2) + (x5 == x2) // @label(Count of x₂)","label":"Count of x₂","prefix":null,"suffix":null,"section":"Most-frequent value via count comparisons","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"count_x3 = (x1 == x3) + (x2 == x3) + (x3 == x3) + (x4 == x3) + (x5 == x3) // @label(Count of x₃)","label":"Count of x₃","prefix":null,"suffix":null,"section":"Most-frequent value via count comparisons","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"count_x4 = (x1 == x4) + (x2 == x4) + (x3 == x4) + (x4 == x4) + (x5 == x4) // @label(Count of x₄)","label":"Count of x₄","prefix":null,"suffix":null,"section":"Most-frequent value via count comparisons","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"count_x5 = (x1 == x5) + (x2 == x5) + (x3 == x5) + (x4 == x5) + (x5 == x5) // @label(Count of x₅)","label":"Count of x₅","prefix":null,"suffix":null,"section":"Most-frequent value via count comparisons","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Mode is value with highest count (returns lowest-indexed if tied)","label":null,"prefix":null,"suffix":null,"section":"Mode is value with highest count (returns lowest-indexed if tied)","hero":false,"slider":null,"value":null,"display":null},{"text":"max_count = max(count_x1, count_x2, count_x3, count_x4, count_x5) // @label(Mode Frequency)","label":"Mode Frequency","prefix":null,"suffix":null,"section":"Mode is value with highest count (returns lowest-indexed if tied)","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"}]},{"id":"modular-arithmetic","title":"Modular Arithmetic","description":"Compute a mod n — the remainder when a is divided by n.","category":"formulas","icon":"sigma","tags":["number-theory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.230Z"},"rows":[{"text":"# Numbers","label":null,"prefix":null,"suffix":null,"section":"Numbers","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 17 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Numbers","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":17,"display":"17"},{"text":"n = 5 // 1..1k","label":null,"prefix":null,"suffix":null,"section":"Numbers","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":5,"display":"5"},{"text":"# Remainder","label":null,"prefix":null,"suffix":null,"section":"Remainder","hero":false,"slider":null,"value":null,"display":null},{"text":"result = a mod n // @hero @label(a mod n)","label":"a mod n","prefix":null,"suffix":null,"section":"Remainder","hidden":false,"hero":true,"slider":null,"value":2,"display":"2"},{"text":"quotient = (a - result) / n","label":null,"prefix":null,"suffix":null,"section":"Remainder","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"}]},{"id":"molality-chemistry-concentration","title":"Molality Chemistry Concentration","description":"Calculate solution molality from moles of solute and kilograms of solvent.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.231Z"},"rows":[{"text":"moles_of_solute = 0.5 // mol","label":null,"prefix":null,"suffix":"mol","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"mass_of_solvent_kg = 1.0 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero molality = moles_of_solute / mass_of_solvent_kg // mol/kg","label":null,"prefix":null,"suffix":"mol/kg","section":null,"hidden":false,"hero":true,"slider":null,"value":0.5,"display":"0.5"}]},{"id":"molarity-calculator","title":"Molarity Calculator","description":"Calculate solution molarity from moles of solute and volume in milliliters.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.231Z"},"rows":[{"text":"# Solute and Solvent","label":null,"prefix":null,"suffix":null,"section":"Solute and Solvent","hero":false,"slider":null,"value":null,"display":null},{"text":"moles of solute = 0.5 // moles 0.01..10","label":null,"prefix":null,"suffix":"moles","section":"Solute and Solvent","hidden":false,"hero":false,"slider":{"min":0.01,"max":10,"step":0.1},"value":0.5,"display":"0.5"},{"text":"solution volume = 500 // milliliters 1..5k","label":null,"prefix":null,"suffix":"milliliters","section":"Solute and Solvent","hidden":false,"hero":false,"slider":{"min":1,"max":5000,"step":50},"value":500,"display":"500"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"volume liters = solution volume / 1000","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"molarity = moles of solute / volume liters // mol/l @hero","label":null,"prefix":null,"suffix":"mol/l","section":"Result","hidden":false,"hero":true,"slider":null,"value":1,"display":"1"},{"text":"# Details","label":null,"prefix":null,"suffix":null,"section":"Details","hero":false,"slider":null,"value":null,"display":null},{"text":"millimolarity = molarity * 1000","label":null,"prefix":null,"suffix":null,"section":"Details","hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"micromolarity = molarity * 1000000","label":null,"prefix":null,"suffix":null,"section":"Details","hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"moles per liter = molarity","label":null,"prefix":null,"suffix":null,"section":"Details","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"}]},{"id":"mole-fraction","title":"Mole Fraction","description":"Calculate mole fractions of three components in a mixture.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.231Z"},"rows":[{"text":"# Components","label":null,"prefix":null,"suffix":null,"section":"Components","hero":false,"slider":null,"value":null,"display":null},{"text":"moles component a = 2.5 // moles 0..100","label":null,"prefix":null,"suffix":"moles","section":"Components","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":2.5,"display":"2.5"},{"text":"moles component b = 7.5 // moles 0..100","label":null,"prefix":null,"suffix":"moles","section":"Components","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":7.5,"display":"7.5"},{"text":"moles component c = 0.0 // moles 0..100","label":null,"prefix":null,"suffix":"moles","section":"Components","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":0,"display":"0"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"total moles = moles component a + moles component b + moles component c","label":null,"prefix":null,"suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"mole fraction a = moles component a / total moles // @hero","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0.25,"display":"0.25"},{"text":"# Fractions","label":null,"prefix":null,"suffix":null,"section":"Fractions","hero":false,"slider":null,"value":null,"display":null},{"text":"mole fraction b = moles component b / total moles","label":null,"prefix":null,"suffix":null,"section":"Fractions","hidden":false,"hero":false,"slider":null,"value":0.75,"display":"0.75"},{"text":"mole fraction c = moles component c / total moles","label":null,"prefix":null,"suffix":null,"section":"Fractions","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"total check = mole fraction a + mole fraction b + mole fraction c","label":null,"prefix":null,"suffix":null,"section":"Fractions","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"percentage a = mole fraction a * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Fractions","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"}]},{"id":"momentum","title":"Momentum","description":"p = m · v — linear momentum of a moving object.","category":"formulas","icon":"zap","tags":["physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.232Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"mass = 10 // kg 0.001..10k","label":null,"prefix":null,"suffix":"kg","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":10000,"step":100},"value":10,"display":"10"},{"text":"velocity = 5 // m/s -1k..1k","label":null,"prefix":null,"suffix":"m/s","section":"Inputs","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# Momentum","label":null,"prefix":null,"suffix":null,"section":"Momentum","hero":false,"slider":null,"value":null,"display":null},{"text":"momentum = mass * velocity // @label(p) @suffix(kg·m/s)","label":"p","prefix":null,"suffix":null,"section":"Momentum","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"moon-phase-percent-illumination","title":"Moon Phase Percent Illumination","description":"Calculate moon illumination percentage from days since the last new moon.","category":"science","icon":"moon","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.232Z"},"rows":[{"text":"days_since_new_moon = 14.7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":14.7,"display":"14.7"},{"text":"lunar_cycle_days = 29.53","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":29.53,"display":"29.53"},{"text":"phase_angle = (days_since_new_moon / lunar_cycle_days) * 2 * pi","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.1277624116335905,"display":"3.1278"},{"text":"illumination_fraction = (1 - cos(phase_angle)) / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0007448252690752,"display":"0.0007448"},{"text":"illumination_percentage = illumination_fraction * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.07448252690752,"display":"0.0745"}]},{"id":"moon-weight-comparison","title":"Moon Weight Comparison","description":"Calculate your equivalent weight on the Moon from Earth weight and gravity ratio.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.232Z"},"rows":[{"text":"earth_weight_pounds = 150","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"moon_gravity_ratio = 0.165","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.165,"display":"0.165"},{"text":"moon_weight = earth_weight_pounds * moon_gravity_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":24.75,"display":"24.75"}]},{"id":"morse-code-duration","title":"Morse Code Duration","description":"Calculate total Morse code transmission time from dot and dash counts.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.232Z"},"rows":[{"text":"number_of_dots = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"number_of_dashes = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"dot_duration_ms = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"dash_duration_ms = dot_duration_ms * 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"total_duration_seconds = (number_of_dots * dot_duration_ms + number_of_dashes * dash_duration_ms) / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.5,"display":"2.5"}]},{"id":"mortgage-calculator","title":"Mortgage Calculator","description":"Calculate monthly payments, total interest, and lifetime cost for any home loan.","category":"finance","icon":"house","tags":["mortgage","loan","housing","interest"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.232Z"},"rows":[{"text":"# Loan Details","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan amount = 400000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":400000,"display":"$400,000.00"},{"text":"interest rate = 6.5 // % 1..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.1},"value":6.5,"display":"6.5"},{"text":"loan term = 30 // years 5..40","label":null,"prefix":null,"suffix":"years","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":5,"max":40,"step":1},"value":30,"display":"30"},{"text":"_monthly_rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hidden":true,"hero":false,"slider":null,"value":0.005416666666666667,"display":"0.005417"},{"text":"_num_payments = loan term * 12","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hidden":true,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"# Monthly Costs","label":null,"prefix":null,"suffix":null,"section":"Monthly Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$principal and interest = loan amount * (monthly_rate * (1 + monthly_rate)^num_payments) / ((1 + monthly_rate)^num_payments - 1)","label":null,"prefix":"$","suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":null,"value":2528.2720939718615,"display":"$2,528.27"},{"text":"$property tax = 500 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":500,"display":"$500.00"},{"text":"$insurance = 150 // 0..1k","label":null,"prefix":"$","suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":150,"display":"$150.00"},{"text":"$total monthly payment = principal and interest + property tax + insurance // @hero","label":null,"prefix":"$","suffix":null,"section":"Monthly Costs","hidden":false,"hero":true,"slider":null,"value":3178.2720939718615,"display":"$3,178.27"},{"text":"# Lifetime Totals","label":null,"prefix":null,"suffix":null,"section":"Lifetime Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"$total amount paid = total monthly payment * num_payments","label":null,"prefix":"$","suffix":null,"section":"Lifetime Totals","hidden":false,"hero":false,"slider":null,"value":1144177.95382987,"display":"$1,144,177.95"},{"text":"$total interest paid = total amount paid - loan amount","label":null,"prefix":"$","suffix":null,"section":"Lifetime Totals","hidden":false,"hero":false,"slider":null,"value":744177.95382987,"display":"$744,177.95"}]},{"id":"mortgage-insurance-pmi-cost","title":"Mortgage Insurance PMI Cost","description":"Estimate monthly private mortgage insurance costs for your loan.","category":"real-estate","icon":"shield","tags":["mortgage","insurance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.233Z"},"rows":[{"text":"loanAmount = 400000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":400000,"display":"400,000"},{"text":"pmiRateAnnual = 0.5 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"annualPMICost = loanAmount * (pmiRateAnnual / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"monthlyPMICost = annualPMICost / 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":166.66666666666666,"display":"166.6667"}]},{"id":"mortgage-interest-tax-deduction","title":"Mortgage Interest Tax Deduction","description":"Calculate income tax savings from the mortgage interest deduction.","category":"finance","icon":"home","tags":["mortgage","interest","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.233Z"},"rows":[{"text":"annual_interest_paid = 15000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"marginal_tax_rate = 0.24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.24,"display":"0.24"},{"text":"tax_savings = annual_interest_paid * marginal_tax_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3600,"display":"3,600"}]},{"id":"mortgage-payoff-acceleration","title":"Mortgage Payoff Acceleration","description":"Calculate years saved and interest saved by paying extra each month on a mortgage.","category":"finance","icon":"home","tags":["mortgage","payoff","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.233Z"},"rows":[{"text":"# Mortgage Details","label":null,"prefix":null,"suffix":null,"section":"Mortgage Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$current balance = 350000 // 10k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Mortgage Details","hidden":false,"hero":false,"slider":{"min":10000,"max":1000000,"step":5000},"value":350000,"display":"$350,000.00"},{"text":"interest rate = 6.5 // % 1..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Mortgage Details","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.1},"value":6.5,"display":"6.5"},{"text":"years remaining = 25 // years 1..30","label":null,"prefix":null,"suffix":"years","section":"Mortgage Details","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":25,"display":"25"},{"text":"$extra monthly payment = 500 // 0..5k","label":null,"prefix":"$","suffix":null,"section":"Mortgage Details","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":50},"value":500,"display":"$500.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_monthly_rate = interest rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":0.005416666666666667,"display":"0.005417"},{"text":"$_standard_monthly_payment = current balance * (monthly_rate * (1 + monthly_rate)^(years remaining * 12)) / ((1 + monthly_rate)^(years remaining * 12) - 1)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2363.225064716746,"display":"$2,363.23"},{"text":"$_total_monthly_payment = standard_monthly_payment + extra monthly payment","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2863.225064716746,"display":"$2,863.23"},{"text":"# Approximation for months remaining","label":null,"prefix":null,"suffix":null,"section":"Approximation for months remaining","hero":false,"slider":null,"value":null,"display":null},{"text":"# n = -ln(1 - (r*PV)/P) / ln(1 + r)","label":null,"prefix":null,"suffix":null,"section":"n = -ln(1 - (r*PV)/P) / ln(1 + r)","hero":false,"slider":null,"value":null,"display":null},{"text":"_months_remaining_with_extra = -ln(1 - (monthly_rate * current balance) / total_monthly_payment) / ln(1 + monthly_rate)","label":null,"prefix":null,"suffix":null,"section":"n = -ln(1 - (r*PV)/P) / ln(1 + r)","hidden":true,"hero":false,"slider":null,"value":200.86828948804973,"display":"200.8683"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"years saved = years remaining - (months_remaining_with_extra / 12) // @hero years","label":null,"prefix":null,"suffix":"years","section":"Result","hidden":false,"hero":true,"slider":null,"value":8.260975875995857,"display":"8.261"},{"text":"$total interest saved = (standard_monthly_payment * years remaining * 12) - (total_monthly_payment * months_remaining_with_extra)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":133836.3982460606,"display":"$133,836.40"},{"text":"new payoff time = months_remaining_with_extra / 12 // years","label":null,"prefix":null,"suffix":"years","section":"Result","hidden":false,"hero":false,"slider":null,"value":16.739024124004143,"display":"16.739"}]},{"id":"mosquito-repellent-duration","title":"Mosquito Repellent Duration","description":"Estimate hours of mosquito protection from a repellent's DEET concentration.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.233Z"},"rows":[{"text":"deet_concentration_percent = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero estimated_protection_hours = deet_concentration_percent / 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"motor-torque-from-hp-rpm","title":"Motor Torque from HP and RPM","description":"Convert between horsepower and torque at a given RPM.","category":"engineering","icon":"settings","tags":["engineering","mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.234Z"},"rows":[{"text":"horsepower = 5 // HP","label":null,"prefix":null,"suffix":"HP","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"rpm = 1750 // RPM","label":null,"prefix":null,"suffix":"RPM","section":null,"hidden":false,"hero":false,"slider":null,"value":1750,"display":"1,750"},{"text":"@hero torque_lb_ft = (horsepower * 5252) / rpm // lb-ft","label":null,"prefix":null,"suffix":"lb-ft","section":null,"hidden":false,"hero":true,"slider":null,"value":15.005714285714285,"display":"15.0057"},{"text":"torque_nm = torque_lb_ft * 1.3558","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20.344747428571427,"display":"20.3447"}]},{"id":"movement-speed-multiplier","title":"Movement Speed Multiplier","description":"Calculate final movement speed with various buffs.","category":"math","icon":"fast-forward","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.234Z"},"rows":[{"text":"# Speed Settings","label":null,"prefix":null,"suffix":null,"section":"Speed Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base speed = 300","label":null,"prefix":null,"suffix":null,"section":"Speed Settings","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"boots bonus percent = 15 // %","label":null,"prefix":null,"suffix":"%","section":"Speed Settings","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"haste buff percent = 20 // %","label":null,"prefix":null,"suffix":"%","section":"Speed Settings","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_multiplier = 1 + (boots bonus percent / 100) + (haste buff percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.35,"display":"1.35"},{"text":"final speed = base speed * total_multiplier","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":405,"display":"405"}]},{"id":"moving-cost","title":"Moving Cost","description":"Estimate the cost of a DIY or professional move.","category":"real-estate","icon":"truck","tags":["truck"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.234Z"},"rows":[{"text":"# Move Details","label":null,"prefix":null,"suffix":null,"section":"Move Details","hero":false,"slider":null,"value":null,"display":null},{"text":"distance = 500 // miles 10..3k by 10","label":null,"prefix":null,"suffix":"miles","section":"Move Details","hidden":false,"hero":false,"slider":{"min":10,"max":3000,"step":10},"value":500,"display":"500"},{"text":"bedrooms = 2 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Move Details","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":2,"display":"2"},{"text":"is professional = 1 // dropdown({Professional: 1, DIY: 0}) @label(Moving Method)","label":"Moving Method","prefix":null,"suffix":null,"section":"Move Details","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# DIY Costs","label":null,"prefix":null,"suffix":null,"section":"DIY Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$truck rental = 40 + distance * 0.70 + bedrooms * 50","label":null,"prefix":"$","suffix":null,"section":"DIY Costs","hidden":false,"hero":false,"slider":null,"value":490,"display":"$490.00"},{"text":"$fuel for truck = distance * 2 / 10 * 3.89 // @label(Fuel (truck ~10mpg))","label":"Fuel (truck ~10mpg)","prefix":"$","suffix":null,"section":"DIY Costs","hidden":false,"hero":false,"slider":null,"value":389,"display":"$389.00"},{"text":"$diy total = truck rental + fuel for truck","label":null,"prefix":"$","suffix":null,"section":"DIY Costs","hidden":false,"hero":false,"slider":null,"value":879,"display":"$879.00"},{"text":"# Professional Costs","label":null,"prefix":null,"suffix":null,"section":"Professional Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$base labor = 800 + bedrooms * 400 // @label(Base Labor (crew + hours))","label":"Base Labor (crew + hours)","prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":1600,"display":"$1,600.00"},{"text":"$mileage charge = distance * 0.75 // @label(Long Distance Charge)","label":"Long Distance Charge","prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":375,"display":"$375.00"},{"text":"$packing materials = 100 + bedrooms * 75","label":null,"prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":250,"display":"$250.00"},{"text":"$pro total = base labor + mileage charge + packing materials","label":null,"prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":2225,"display":"$2,225.00"},{"text":"# Your Estimate","label":null,"prefix":null,"suffix":null,"section":"Your Estimate","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated cost = is professional * pro total + (1 - is professional) * diy total // @hero","label":null,"prefix":"$","suffix":null,"section":"Your Estimate","hidden":false,"hero":true,"slider":null,"value":2225,"display":"$2,225.00"},{"text":"$per bedroom = round(estimated cost / bedrooms) // @label(Cost Per Bedroom)","label":"Cost Per Bedroom","prefix":"$","suffix":null,"section":"Your Estimate","hidden":false,"hero":false,"slider":null,"value":1113,"display":"$1,113.00"}]},{"id":"mtu-overhead-overhead-percent","title":"Mtu Overhead Overhead Percent","description":"Calculate the network overhead percentage of headers within an MTU.","category":"other","icon":"percent","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.234Z"},"rows":[{"text":"mtu_size_bytes = 1500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"header_size_bytes = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"overhead_percentage = (header_size_bytes / mtu_size_bytes) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.666666666666667,"display":"2.6667"}]},{"id":"mulch-volume-calculator","title":"Mulch Volume Calculator","description":"Estimate mulch in cubic yards and bags needed from area and depth.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.235Z"},"rows":[{"text":"# Landscape Area","label":null,"prefix":null,"suffix":null,"section":"Landscape Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = 500 // square feet 1..5k","label":null,"prefix":null,"suffix":"square feet","section":"Landscape Area","hidden":false,"hero":false,"slider":{"min":1,"max":5000,"step":50},"value":500,"display":"500"},{"text":"depth = 3 // inches 1..12","label":null,"prefix":null,"suffix":"inches","section":"Landscape Area","hidden":false,"hero":false,"slider":{"min":1,"max":12,"step":0.2},"value":3,"display":"3"},{"text":"# Volume Calculations","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_depth_feet = depth / 12","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"_volume_cubic_feet = area * depth_feet","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":true,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"volume cubic yards = round(volume_cubic_feet / 27, 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Volume Calculations","hidden":false,"hero":true,"slider":null,"value":4.63,"display":"4.63"},{"text":"# Bags","label":null,"prefix":null,"suffix":null,"section":"Bags","hero":false,"slider":null,"value":null,"display":null},{"text":"# Small bag is typically 2 cubic feet","label":null,"prefix":null,"suffix":null,"section":"Small bag is typically 2 cubic feet","hero":false,"slider":null,"value":null,"display":null},{"text":"small bags needed = roundup(volume_cubic_feet / 2)","label":null,"prefix":null,"suffix":null,"section":"Small bag is typically 2 cubic feet","hidden":false,"hero":false,"slider":null,"value":63,"display":"63"},{"text":"# Large bag is typically 3 cubic feet","label":null,"prefix":null,"suffix":null,"section":"Large bag is typically 3 cubic feet","hero":false,"slider":null,"value":null,"display":null},{"text":"large bags needed = roundup(volume_cubic_feet / 3)","label":null,"prefix":null,"suffix":null,"section":"Large bag is typically 3 cubic feet","hidden":false,"hero":false,"slider":null,"value":42,"display":"42"}]},{"id":"music-chord-semitone-intervals","title":"Music Chord Semitone Intervals","description":"Calculate the semitone intervals between chord notes.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.235Z"},"rows":[{"text":"root_note = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"third_note = 4 // major third","label":null,"prefix":null,"suffix":"major third","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"fifth_note = 7 // perfect fifth","label":null,"prefix":null,"suffix":"perfect fifth","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"@hero interval_root_to_third = third_note - root_note // semitones","label":null,"prefix":null,"suffix":"semitones","section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"},{"text":"@hero interval_third_to_fifth = fifth_note - third_note // semitones","label":null,"prefix":null,"suffix":"semitones","section":null,"hidden":false,"hero":true,"slider":null,"value":3,"display":"3"}]},{"id":"natural-logarithm","title":"Natural Logarithm","description":"Calculate the natural logarithm (ln) of a number.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.235Z"},"rows":[{"text":"number = 2.71828","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.71828,"display":"2.7183"},{"text":"result = log(number)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.4342941897738881,"display":"0.4343"}]},{"id":"nautical-mile-to-statute","title":"Nautical Mile To Statute","description":"Convert nautical miles to statute miles.","category":"other","icon":"calculator","tags":["statute"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.235Z"},"rows":[{"text":"nautical_miles = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero statute_miles = nautical_miles * 1.15078","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11.5078,"display":"11.5078"}]},{"id":"nda-breach-cost-estimate","title":"NDA Breach Cost","description":"Estimate the potential financial impact of an NDA violation.","category":"other","icon":"alert-triangle","tags":["breach"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.236Z"},"rows":[{"text":"liquidatedDamages = 50000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"estimatedLegalFees = 25000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":25000,"display":"25,000"},{"text":"potentialMarketLoss = 100000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"totalBreachCost = liquidatedDamages + estimatedLegalFees + potentialMarketLoss","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":175000,"display":"175,000"}]},{"id":"net-operating-income","title":"Net Operating Income","description":"Calculate the annual profit of a property before taxes and debt.","category":"real-estate","icon":"briefcase","tags":["income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.236Z"},"rows":[{"text":"grossRentalIncome = 50000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"otherIncome = 2000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"vacancyLoss = 2500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"operatingExpenses = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"noi = (grossRentalIncome + otherIncome - vacancyLoss) - operatingExpenses","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":34500,"display":"34,500"}]},{"id":"net-present-value","title":"Net Present Value","description":"Calculate net present value (NPV) of a 5-year investment from cash flows and discount rate.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.236Z"},"rows":[{"text":"# NPV Project Analysis","label":null,"prefix":null,"suffix":null,"section":"NPV Project Analysis","hero":false,"slider":null,"value":null,"display":null},{"text":"$initial investment = 50000 // 1k..1M","label":null,"prefix":"$","suffix":null,"section":"NPV Project Analysis","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000,"step":10000},"value":50000,"display":"$50,000.00"},{"text":"discount rate = 10 // % 1..25","label":null,"prefix":null,"suffix":"%","section":"NPV Project Analysis","hidden":false,"hero":false,"slider":{"min":1,"max":25,"step":1},"value":10,"display":"10"},{"text":"$year one cash flow = 15000 // 0..500k","label":null,"prefix":"$","suffix":null,"section":"NPV Project Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":5000},"value":15000,"display":"$15,000.00"},{"text":"$year two cash flow = 18000 // 0..500k","label":null,"prefix":"$","suffix":null,"section":"NPV Project Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":5000},"value":18000,"display":"$18,000.00"},{"text":"$year three cash flow = 22000 // 0..500k","label":null,"prefix":"$","suffix":null,"section":"NPV Project Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":5000},"value":22000,"display":"$22,000.00"},{"text":"$year four cash flow = 25000 // 0..500k","label":null,"prefix":"$","suffix":null,"section":"NPV Project Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":5000},"value":25000,"display":"$25,000.00"},{"text":"$year five cash flow = 30000 // 0..500k","label":null,"prefix":"$","suffix":null,"section":"NPV Project Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":5000},"value":30000,"display":"$30,000.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_r = discount rate / 100","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"$_pv1 = year one cash flow / (1 + r)^1","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":13636.363636363636,"display":"$13,636.36"},{"text":"$_pv2 = year two cash flow / (1 + r)^2","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":14876.033057851237,"display":"$14,876.03"},{"text":"$_pv3 = year three cash flow / (1 + r)^3","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":16528.925619834707,"display":"$16,528.93"},{"text":"$_pv4 = year four cash flow / (1 + r)^4","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":17075.33638412676,"display":"$17,075.34"},{"text":"$_pv5 = year five cash flow / (1 + r)^5","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":18627.63969177465,"display":"$18,627.64"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$net present value = pv1 + pv2 + pv3 + pv4 + pv5 - initial investment // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":30744.29838995099,"display":"$30,744.30"},{"text":"$total nominal cash flow = year one cash flow + year two cash flow + year three cash flow + year four cash flow + year five cash flow","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":110000,"display":"$110,000.00"},{"text":"profitability index = (net present value + initial investment) / initial investment","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1.6148859677990197,"display":"1.6149"}]},{"id":"net-promoter-score","title":"Net Promoter Score","description":"Calculate Net Promoter Score (NPS) from promoter, passive, and detractor counts.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.236Z"},"rows":[{"text":"# Survey Results","label":null,"prefix":null,"suffix":null,"section":"Survey Results","hero":false,"slider":null,"value":null,"display":null},{"text":"total responses = 500 // 10..10k","label":null,"prefix":null,"suffix":null,"section":"Survey Results","hidden":false,"hero":false,"slider":{"min":10,"max":10000,"step":100},"value":500,"display":"500"},{"text":"number of promoters = 300 // 9-10 score 0..10000 by 1","label":null,"prefix":null,"suffix":"9-10 score","section":"Survey Results","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":1},"value":300,"display":"300"},{"text":"number of detractors = 50 // 0-6 score 0..10000 by 1","label":null,"prefix":null,"suffix":"0-6 score","section":"Survey Results","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":1},"value":50,"display":"50"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_percent_promoters = (number of promoters / total responses) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"_percent_detractors = (number of detractors / total responses) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"_number_of_passives = total responses - number of promoters - number of detractors","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"net promoter score = percent_promoters - percent_detractors // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"},{"text":"rating = if(net promoter score > 70, \"World Class\", if(net promoter score > 30, \"Good\", \"Needs Improvement\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Good","display":"Good"},{"text":"percent passives = (number_of_passives / total responses) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"}]},{"id":"net-worth-growth-projection","title":"Net Worth Growth Projection","description":"Project future net worth from current value, annual contributions, and growth rate.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.237Z"},"rows":[{"text":"current_net_worth = 100000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"annual_contribution = 12000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12000,"display":"12,000"},{"text":"years = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"expected_growth = 0.06","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.06,"display":"0.06"},{"text":"future_value = current_net_worth * (1 + expected_growth) ** years + annual_contribution * (((1 + expected_growth) ** years - 1) / expected_growth)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":337254.30896285636,"display":"337,254.309"}]},{"id":"net-worth","title":"Net Worth","description":"Track your assets minus liabilities to see your net worth.","category":"finance","icon":"wallet","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.237Z"},"rows":[{"text":"# Assets","label":null,"prefix":null,"suffix":null,"section":"Assets","hero":false,"slider":null,"value":null,"display":null},{"text":"$cash and savings = 15000 // 0..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Assets","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":1000},"value":15000,"display":"$15,000.00"},{"text":"$investments = 50000 // 0..2M","label":null,"prefix":"$","suffix":null,"section":"Assets","hidden":false,"hero":false,"slider":{"min":0,"max":2000000,"step":20000},"value":50000,"display":"$50,000.00"},{"text":"$retirement accounts = 75000 // 0..3M","label":null,"prefix":"$","suffix":null,"section":"Assets","hidden":false,"hero":false,"slider":{"min":0,"max":3000000,"step":50000},"value":75000,"display":"$75,000.00"},{"text":"$home value = 350000 // 0..2M by 10k","label":null,"prefix":"$","suffix":null,"section":"Assets","hidden":false,"hero":false,"slider":{"min":0,"max":2000000,"step":10000},"value":350000,"display":"$350,000.00"},{"text":"$other assets = 10000 // 0..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Assets","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":1000},"value":10000,"display":"$10,000.00"},{"text":"# Liabilities","label":null,"prefix":null,"suffix":null,"section":"Liabilities","hero":false,"slider":null,"value":null,"display":null},{"text":"$mortgage balance = 280000 // 0..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Liabilities","hidden":false,"hero":false,"slider":{"min":0,"max":2000000,"step":5000},"value":280000,"display":"$280,000.00"},{"text":"$car loans = 12000 // 0..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Liabilities","hidden":false,"hero":false,"slider":{"min":0,"max":100000,"step":500},"value":12000,"display":"$12,000.00"},{"text":"$student loans = 25000 // 0..200k by 1k","label":null,"prefix":"$","suffix":null,"section":"Liabilities","hidden":false,"hero":false,"slider":{"min":0,"max":200000,"step":1000},"value":25000,"display":"$25,000.00"},{"text":"$credit card debt = 3000 // 0..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Liabilities","hidden":false,"hero":false,"slider":{"min":0,"max":100000,"step":500},"value":3000,"display":"$3,000.00"},{"text":"$other debts = 0 // 0..100k by 500","label":null,"prefix":"$","suffix":null,"section":"Liabilities","hidden":false,"hero":false,"slider":{"min":0,"max":100000,"step":500},"value":0,"display":"$0.00"},{"text":"# Summary","label":null,"prefix":null,"suffix":null,"section":"Summary","hero":false,"slider":null,"value":null,"display":null},{"text":"$total assets = cash and savings + investments + retirement accounts + home value + other assets","label":null,"prefix":"$","suffix":null,"section":"Summary","hidden":false,"hero":false,"slider":null,"value":500000,"display":"$500,000.00"},{"text":"$total liabilities = mortgage balance + car loans + student loans + credit card debt + other debts","label":null,"prefix":"$","suffix":null,"section":"Summary","hidden":false,"hero":false,"slider":null,"value":320000,"display":"$320,000.00"},{"text":"$net worth = total assets - total liabilities","label":null,"prefix":"$","suffix":null,"section":"Summary","hidden":false,"hero":true,"slider":null,"value":180000,"display":"$180,000.00"}]},{"id":"network-latency-delay","title":"Network Latency Delay","description":"Calculate one-way and round-trip latency over fiber optic cable.","category":"other","icon":"calculator","tags":["delay"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.237Z"},"rows":[{"text":"# Journey","label":null,"prefix":null,"suffix":null,"section":"Journey","hero":false,"slider":null,"value":null,"display":null},{"text":"distance kilometers = 1000 // km","label":null,"prefix":null,"suffix":"km","section":"Journey","hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"refraction index of fiber = 1.467 // speed of light is c/n","label":null,"prefix":null,"suffix":"speed of light is c/n","section":"Journey","hidden":false,"hero":false,"slider":null,"value":1.467,"display":"1.467"},{"text":"# Speed of light in vacuum (approx)","label":null,"prefix":null,"suffix":null,"section":"Speed of light in vacuum (approx)","hero":false,"slider":null,"value":null,"display":null},{"text":"_c_vacuum = 299792 // km/s","label":null,"prefix":null,"suffix":"km/s","section":"Speed of light in vacuum (approx)","hidden":true,"hero":false,"slider":null,"value":299792,"display":"299,792"},{"text":"_speed_in_fiber = c_vacuum / refraction index of fiber // km/s","label":null,"prefix":null,"suffix":"km/s","section":"Speed of light in vacuum (approx)","hidden":true,"hero":false,"slider":null,"value":204357.1915473756,"display":"204,357.1915"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"one way delay milliseconds = (distance kilometers / speed_in_fiber) * 1000 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4.893392752308267,"display":"4.8934"},{"text":"round trip time milliseconds = one way delay milliseconds * 2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":9.786785504616534,"display":"9.7868"}]},{"id":"newsletter-subscriber-valuation","title":"Newsletter Subscriber Valuation","description":"Calculate the total valuation of a newsletter from subscriber count and revenue.","category":"business","icon":"briefcase","tags":["valuation","business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.237Z"},"rows":[{"text":"total_subscribers = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"average_monthly_revenue_per_subscriber = 0.50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"churn_rate_percentage = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"subscriber_lifetime_months = 1 / churn_rate_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":33.333333333333336,"display":"33.3333"},{"text":"total_newsletter_valuation = total_subscribers * average_monthly_revenue_per_subscriber * subscriber_lifetime_months","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":83333.33333333334,"display":"83,333.3333"}]},{"id":"newtons-second-law-acceleration","title":"Newtons Second Law Acceleration","description":"Calculate acceleration from force and mass using Newton's Second Law.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.238Z"},"rows":[{"text":"force = 100 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"mass = 20 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero acceleration = force / mass // meters per second squared","label":null,"prefix":null,"suffix":"meters per second squared","section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"newtons-second-law","title":"Newton's Second Law","description":"F = m · a — force equals mass times acceleration.","category":"formulas","icon":"zap","tags":["physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.238Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"mass = 10 // kg 0.001..10k","label":null,"prefix":null,"suffix":"kg","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":10000,"step":100},"value":10,"display":"10"},{"text":"acceleration = 9.8 // m/s² -100..100 by 0.01","label":null,"prefix":null,"suffix":"m/s²","section":"Inputs","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":0.01},"value":9.8,"display":"9.8"},{"text":"# Force","label":null,"prefix":null,"suffix":null,"section":"Force","hero":false,"slider":null,"value":null,"display":null},{"text":"force = mass * acceleration // @label(Force) @suffix(N)","label":"Force","prefix":null,"suffix":null,"section":"Force","hidden":false,"hero":true,"slider":null,"value":98,"display":"98"}]},{"id":"nitro-gas-mix-ppo2","title":"Nitro Gas Mix Ppo2","description":"Calculate partial pressure of oxygen (ppO2) for a nitrox mix at depth.","category":"everyday","icon":"home","tags":["gas","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.238Z"},"rows":[{"text":"nitrox_oxygen_percent = 32","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"depth_feet = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"ata_pressure = (depth_feet / 33) + 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4.03030303030303,"display":"4.0303"},{"text":"@hero partial_pressure_oxygen = (nitrox_oxygen_percent / 100) * ata_pressure","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.2896969696969696,"display":"1.2897"}]},{"id":"noise-exposure-limit-osha","title":"Noise Exposure Limit Osha","description":"Calculate permissible OSHA noise exposure hours from decibel level.","category":"math","icon":"infinity","tags":["exposure","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.238Z"},"rows":[{"text":"noise_level_decibels = 95","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":95,"display":"95"},{"text":"@hero permissible_exposure_hours = 8 / (2^((noise_level_decibels - 90) / 5))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"normal-distribution-probability","title":"Normal Distribution Density","description":"Probability density of a normal distribution: f(x) = (1 / (σ√(2π))) · exp(−(x−μ)²/(2σ²)).","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.239Z"},"rows":[{"text":"# Distribution parameters","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"mean = 0 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":0,"display":"0"},{"text":"standard_deviation = 1 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":1,"display":"1"},{"text":"x = 0 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":0,"display":"0"},{"text":"# PDF value at x","label":null,"prefix":null,"suffix":null,"section":"PDF value at x","hero":false,"slider":null,"value":null,"display":null},{"text":"_exponent = -(((x - mean)^2)) / (2 * (standard_deviation^2))","label":null,"prefix":null,"suffix":null,"section":"PDF value at x","hidden":true,"hero":false,"slider":null,"value":0,"display":"-0"},{"text":"density = (1 / (standard_deviation * sqrt(2 * pi))) * exp(exponent) // @label(f(x))","label":"f(x)","prefix":null,"suffix":null,"section":"PDF value at x","hidden":false,"hero":true,"slider":null,"value":0.3989422804014327,"display":"0.3989"}]},{"id":"notary-public-fee-limit","title":"Notary Fee Limit","description":"Calculate the maximum legal fee for notary services.","category":"other","icon":"file-check","tags":["fee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.239Z"},"rows":[{"text":"numberOfSignatures = 3 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"maxFeePerSignature = 10 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"totalMaxNotaryFee = numberOfSignatures * maxFeePerSignature","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"numerology-destiny-number","title":"Numerology Destiny Number","description":"Reduce a name's numeric sum to a single-digit numerology destiny number.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.239Z"},"rows":[{"text":"name_value_sum = 42","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":42,"display":"42"},{"text":"destiny_number = (name_value_sum - 1) % 9 + 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"nyquist-sampling-rate","title":"Nyquist Sampling Rate","description":"Calculate minimum sampling frequency to avoid aliasing.","category":"engineering","icon":"activity","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.239Z"},"rows":[{"text":"max_signal_frequency_hz = 20000 // Hz (audio)","label":null,"prefix":null,"suffix":"Hz (audio)","section":null,"hidden":false,"hero":false,"slider":null,"value":20000,"display":"20,000"},{"text":"@hero minimum_sampling_rate_hz = 2 * max_signal_frequency_hz // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":true,"slider":null,"value":40000,"display":"40,000"},{"text":"standard_cd_quality_rate = 44100 // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":44100,"display":"44,100"}]},{"id":"ocean-acidification-ph-change","title":"Ocean Acidification pH Change","description":"Predict pH change based on atmospheric CO2 increases.","category":"science","icon":"droplet","tags":["science","ocean","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.240Z"},"rows":[{"text":"initial_ph = 8.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8.1,"display":"8.1"},{"text":"carbon_dioxide_increase_percent = 20 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"ph_sensitivity_factor = 0.002 // change in pH per percent CO2 increase","label":null,"prefix":null,"suffix":"change in pH per percent CO2 increase","section":null,"hidden":false,"hero":false,"slider":null,"value":0.002,"display":"0.002"},{"text":"@hero predicted_new_ph = initial_ph - (carbon_dioxide_increase_percent * ph_sensitivity_factor)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8.06,"display":"8.06"}]},{"id":"ocean-tide-height-estimate","title":"Ocean Tide Height Estimate","description":"Estimate relative tidal force on Earth from the Moon's mass and distance.","category":"science","icon":"globe","tags":["ocean"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.240Z"},"rows":[{"text":"moon_distance_km = 384400","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":384400,"display":"384,400"},{"text":"moon_mass_kg = 7.34e22","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.34e+22,"display":"7.34e22"},{"text":"earth_radius_km = 6371","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371,"display":"6,371"},{"text":"tide_force_relative = (moon_mass_kg / moon_distance_km^3) * earth_radius_km","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8232913036.222099,"display":"8,232,913,036.2221"}]},{"id":"offshore-wind-farm-capacity","title":"Offshore Wind Farm Capacity","description":"Calculate energy generation and homes powered by offshore wind.","category":"engineering","icon":"fan","tags":["engineering","wind"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.240Z"},"rows":[{"text":"number_of_turbines = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"turbine_capacity_mw = 8 // MW","label":null,"prefix":null,"suffix":"MW","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"capacity_factor = 40 // percent (efficiency in real conditions)","label":null,"prefix":null,"suffix":"percent (efficiency in real conditions)","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"@hero total_annual_generation_gwh = number_of_turbines * turbine_capacity_mw * (capacity_factor / 100) * 8760 / 1000 // GWh","label":null,"prefix":null,"suffix":"GWh","section":null,"hidden":false,"hero":true,"slider":null,"value":1401.6,"display":"1,401.6"},{"text":"homes_powered = total_annual_generation_gwh * 1000000 / 3500 // 3500 kWh per home","label":null,"prefix":null,"suffix":"3500 kWh per home","section":null,"hidden":false,"hero":false,"slider":null,"value":400457.14285714284,"display":"400,457.1429"}]},{"id":"ohms-law","title":"Ohm's Law","description":"Calculate voltage, current, resistance, and power for electrical circuits.","category":"science","icon":"zap","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.241Z"},"rows":[{"text":"# Circuit Values","label":null,"prefix":null,"suffix":null,"section":"Circuit Values","hero":false,"slider":null,"value":null,"display":null},{"text":"voltage = 12 // V 0.1..240","label":null,"prefix":null,"suffix":"V","section":"Circuit Values","hidden":false,"hero":false,"slider":{"min":0.1,"max":240,"step":5},"value":12,"display":"12"},{"text":"resistance = 6 // Ω 0.1..1000 by 0.1","label":null,"prefix":null,"suffix":"Ω","section":"Circuit Values","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":0.1},"value":6,"display":"6"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"current = voltage / resistance // A @hero @label(Current (I = V/R))","label":"Current (I = V/R)","prefix":null,"suffix":"A","section":"Results","hidden":false,"hero":true,"slider":null,"value":2,"display":"2"},{"text":"power = voltage * current // W @label(Power (P = V × I))","label":"Power (P = V × I)","prefix":null,"suffix":"W","section":"Results","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"power check = current^2 * resistance // W @label(Power (P = I²R))","label":"Power (P = I²R)","prefix":null,"suffix":"W","section":"Results","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"energy per hour = power * 1 // Wh","label":null,"prefix":null,"suffix":"Wh","section":"Results","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"}]},{"id":"oil-change-interval-recommendation","title":"Oil Change Interval Recommendation","description":"Estimate oil change interval based on driving conditions.","category":"engineering","icon":"settings","tags":["automotive","maintenance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.241Z"},"rows":[{"text":"# Driving Conditions","label":null,"prefix":null,"suffix":null,"section":"Driving Conditions","hero":false,"slider":null,"value":null,"display":null},{"text":"base interval miles = 7500","label":null,"prefix":null,"suffix":null,"section":"Driving Conditions","hidden":false,"hero":false,"slider":null,"value":7500,"display":"7,500"},{"text":"short trips factor = 0.8","label":null,"prefix":null,"suffix":null,"section":"Driving Conditions","hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"towing factor = 0.7","label":null,"prefix":null,"suffix":null,"section":"Driving Conditions","hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"dusty conditions factor = 0.9","label":null,"prefix":null,"suffix":null,"section":"Driving Conditions","hidden":false,"hero":false,"slider":null,"value":0.9,"display":"0.9"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"recommended interval miles = base interval miles * short trips factor * towing factor * dusty conditions factor","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3780,"display":"3,780"}]},{"id":"on-time-delivery-rate","title":"On-Time Delivery Rate","description":"Monitor the percentage of orders delivered by the promised date.","category":"business","icon":"calendar","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.241Z"},"rows":[{"text":"ordersDeliveredOnTime = 950 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":950,"display":"950"},{"text":"totalOrdersDelivered = 1000 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"onTimeDeliveryRatePercent = (ordersDeliveredOnTime / totalOrdersDelivered) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":95,"display":"95"}]},{"id":"one-rep-max-epley","title":"One Rep Max Epley","description":"Calculate one-rep max (1RM) using the Epley formula and training percentages.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.242Z"},"rows":[{"text":"# Lift Details","label":null,"prefix":null,"suffix":null,"section":"Lift Details","hero":false,"slider":null,"value":null,"display":null},{"text":"weight lifted = 225 // lbs 5..1k","label":null,"prefix":null,"suffix":"lbs","section":"Lift Details","hidden":false,"hero":false,"slider":{"min":5,"max":1000,"step":1},"value":225,"display":"225"},{"text":"reps performed = 5 // reps 1..30","label":null,"prefix":null,"suffix":"reps","section":"Lift Details","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":5,"display":"5"},{"text":"# Epley Formula","label":null,"prefix":null,"suffix":null,"section":"Epley Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"one rep max = weight lifted * (1 + reps performed / 30) // lbs @hero","label":null,"prefix":null,"suffix":"lbs","section":"Epley Formula","hidden":false,"hero":true,"slider":null,"value":262.50000000000006,"display":"262.5"},{"text":"# Training Percentages","label":null,"prefix":null,"suffix":null,"section":"Training Percentages","hero":false,"slider":null,"value":null,"display":null},{"text":"ninety percent = one rep max * 0.9","label":null,"prefix":null,"suffix":null,"section":"Training Percentages","hidden":false,"hero":false,"slider":null,"value":236.25000000000003,"display":"236.25"},{"text":"eighty percent = one rep max * 0.8","label":null,"prefix":null,"suffix":null,"section":"Training Percentages","hidden":false,"hero":false,"slider":null,"value":210.00000000000003,"display":"210"},{"text":"seventy percent = one rep max * 0.7","label":null,"prefix":null,"suffix":null,"section":"Training Percentages","hidden":false,"hero":false,"slider":null,"value":183.75000000000003,"display":"183.75"}]},{"id":"one-rep-max","title":"One Rep Max","description":"Estimate your 1RM and training maxes from a submaximal lift.","category":"health","icon":"dumbbell","tags":["training"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.242Z"},"rows":[{"text":"# Lift Details","label":null,"prefix":null,"suffix":null,"section":"Lift Details","hero":false,"slider":null,"value":null,"display":null},{"text":"weight lifted = 185 // lbs 5..1k by 5","label":null,"prefix":null,"suffix":"lbs","section":"Lift Details","hidden":false,"hero":false,"slider":{"min":5,"max":1000,"step":5},"value":185,"display":"185"},{"text":"reps done = 5 // reps 1..30","label":null,"prefix":null,"suffix":"reps","section":"Lift Details","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":5,"display":"5"},{"text":"# Estimated 1RM (Epley Formula)","label":null,"prefix":null,"suffix":null,"section":"Estimated 1RM (Epley Formula)","hero":false,"slider":null,"value":null,"display":null},{"text":"estimated 1rm = round(weight lifted * (1 + reps done / 30)) // lbs @hero","label":null,"prefix":null,"suffix":"lbs","section":"Estimated 1RM (Epley Formula)","hidden":false,"hero":true,"slider":null,"value":216,"display":"216"},{"text":"# Training Maxes","label":null,"prefix":null,"suffix":null,"section":"Training Maxes","hero":false,"slider":null,"value":null,"display":null},{"text":"ninety pct = round(estimated 1rm * 0.90) // lbs @label(90% Training Max)","label":"90% Training Max","prefix":null,"suffix":"lbs","section":"Training Maxes","hidden":false,"hero":false,"slider":null,"value":194,"display":"194"},{"text":"eighty five pct = round(estimated 1rm * 0.85) // lbs @label(85% Training Max)","label":"85% Training Max","prefix":null,"suffix":"lbs","section":"Training Maxes","hidden":false,"hero":false,"slider":null,"value":184,"display":"184"},{"text":"eighty pct = round(estimated 1rm * 0.80) // lbs @label(80% Training Max)","label":"80% Training Max","prefix":null,"suffix":"lbs","section":"Training Maxes","hidden":false,"hero":false,"slider":null,"value":173,"display":"173"}]},{"id":"op-amp-gain-non-inverting","title":"Op-Amp Gain Non-Inverting","description":"Calculate voltage gain for a non-inverting amplifier.","category":"engineering","icon":"activity","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.242Z"},"rows":[{"text":"resistor_feedback_ohms = 10000 // Rf","label":null,"prefix":null,"suffix":"Rf","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"resistor_ground_ohms = 1000 // Rg","label":null,"prefix":null,"suffix":"Rg","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"@hero voltage_gain = 1 + (resistor_feedback_ohms / resistor_ground_ohms)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11,"display":"11"},{"text":"input_voltage = 0.1 // volts","label":null,"prefix":null,"suffix":"volts","section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"output_voltage = input_voltage * voltage_gain // volts","label":null,"prefix":null,"suffix":"volts","section":null,"hidden":false,"hero":false,"slider":null,"value":1.1,"display":"1.1"}]},{"id":"operant-conditioning-ratio","title":"Operant Conditioning Ratio","description":"Calculate the response-to-reward ratio in operant conditioning.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.242Z"},"rows":[{"text":"responses = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"rewards = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"ratio = responses / rewards","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"operating-expense-ratio","title":"Operating Expense Ratio","description":"Compare operating expenses against effective gross income.","category":"real-estate","icon":"pie-chart","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.243Z"},"rows":[{"text":"operatingExpenses = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"effectiveGrossIncome = 40000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":40000,"display":"40,000"},{"text":"oerPercent = (operatingExpenses / effectiveGrossIncome) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":37.5,"display":"37.5"}]},{"id":"operating-leverage-degree","title":"Operating Leverage Degree","description":"Calculate the degree of operating leverage from contribution margin and operating income.","category":"health","icon":"activity","tags":["leverage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.243Z"},"rows":[{"text":"contribution_margin = 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"operating_income = 400000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":400000,"display":"400,000"},{"text":"degree_of_operating_leverage = contribution_margin / operating_income","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.5,"display":"2.5"}]},{"id":"opportunity-zone-investment-gain","title":"Opportunity Zone Gain","description":"Estimate potential tax savings from Opportunity Zone investments.","category":"real-estate","icon":"map","tags":["investment"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.243Z"},"rows":[{"text":"capitalGainAmount = 100000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"taxRatePercentage = 20 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"deferralYears = 5 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"taxSavings = (capitalGainAmount * (taxRatePercentage / 100))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20000,"display":"20,000"}]},{"id":"optimism-bias-margin","title":"Optimism Bias Margin","description":"Calculate the optimism bias margin between predicted and average success rates.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.243Z"},"rows":[{"text":"predicted_success_rate = 0.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"average_success_rate = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"bias_margin = predicted_success_rate - average_success_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.3,"display":"0.3"}]},{"id":"orbital-period","title":"Orbital Period","description":"Calculate orbital period in hours from semi-major axis and central body mass.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.243Z"},"rows":[{"text":"semi_major_axis_kilometers = 42164 // Geostationary","label":null,"prefix":null,"suffix":"Geostationary","section":null,"hidden":false,"hero":false,"slider":null,"value":42164,"display":"42,164"},{"text":"planetary_mass_kilograms = 5.97e24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5.97e+24,"display":"5.97e24"},{"text":"gravitational_constant = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"period_seconds = 2 * pi * sqrt( (semi_major_axis_kilometers * 1000)^3 / (gravitational_constant * planetary_mass_kilograms) )","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":86181.15468591503,"display":"86,181.1547"},{"text":"period_hours = period_seconds / 3600","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":23.939209634976397,"display":"23.9392"}]},{"id":"orbital-velocity","title":"Orbital Velocity","description":"Circular-orbit speed and period for any altitude around any body.","category":"science","icon":"orbit","tags":["orbit","physics","space"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.244Z"},"rows":[{"text":"# Orbit","label":null,"prefix":null,"suffix":null,"section":"Orbit","hero":false,"slider":null,"value":null,"display":null},{"text":"body mass kg = 5.972e24 // kg 1e20..2e30","label":null,"prefix":null,"suffix":"kg","section":"Orbit","hidden":false,"hero":false,"slider":{"min":100000000000000000000,"max":2e+30,"step":2e+28},"value":5.972e+24,"display":"5.972e24"},{"text":"altitude km = 408 // km 100..400k","label":null,"prefix":null,"suffix":"km","section":"Orbit","hidden":false,"hero":false,"slider":{"min":100,"max":400000,"step":5000},"value":408,"display":"408"},{"text":"body radius km = 6371 // km 100..70k","label":null,"prefix":null,"suffix":"km","section":"Orbit","hidden":false,"hero":false,"slider":{"min":100,"max":70000,"step":1000},"value":6371,"display":"6,371"},{"text":"# Circular Orbit Math","label":null,"prefix":null,"suffix":null,"section":"Circular Orbit Math","hero":false,"slider":null,"value":null,"display":null},{"text":"_G = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":"Circular Orbit Math","hidden":true,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"_orbit_radius_m = (body radius km + altitude km) * 1000 // m","label":null,"prefix":null,"suffix":"m","section":"Circular Orbit Math","hidden":true,"hero":false,"slider":null,"value":6779000,"display":"6,779,000"},{"text":"velocity m per s = sqrt(G * body mass kg / orbit_radius_m) // m/s @label(Orbital velocity) @suffix(m/s)","label":"Orbital velocity","prefix":null,"suffix":"m/s","section":"Circular Orbit Math","hidden":false,"hero":false,"slider":null,"value":7667.789532332016,"display":"7,667.7895"},{"text":"velocity km per s = velocity m per s / 1000 // km/s @hero @label(Orbital velocity (km/s))","label":"Orbital velocity (km/s)","prefix":null,"suffix":"km/s","section":"Circular Orbit Math","hidden":false,"hero":true,"slider":null,"value":7.667789532332016,"display":"7.6678"},{"text":"# Orbital Period","label":null,"prefix":null,"suffix":null,"section":"Orbital Period","hero":false,"slider":null,"value":null,"display":null},{"text":"_period_seconds = 2 * pi * orbit_radius_m / velocity m per s // s","label":null,"prefix":null,"suffix":"s","section":"Orbital Period","hidden":true,"hero":false,"slider":null,"value":5554.8881483730975,"display":"5,554.8881"},{"text":"period minutes = round(period_seconds / 60, 1) // min @label(Orbital period) @suffix(min)","label":"Orbital period","prefix":null,"suffix":"min","section":"Orbital Period","hidden":false,"hero":false,"slider":null,"value":92.6,"display":"92.6"},{"text":"orbits per day = round(1440 / period minutes, 1)","label":null,"prefix":null,"suffix":null,"section":"Orbital Period","hidden":false,"hero":false,"slider":null,"value":15.6,"display":"15.6"}]},{"id":"order-picking-accuracy","title":"Order Picking Accuracy","description":"Track the percentage of orders picked without any errors.","category":"business","icon":"check-circle","tags":["order"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.244Z"},"rows":[{"text":"totalOrdersPicked = 1000 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"incorrectOrders = 5 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"accuracyRate = ((totalOrdersPicked - incorrectOrders) / totalOrdersPicked) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":99.5,"display":"99.5"}]},{"id":"origami-fold-thickness","title":"Origami Fold Thickness","description":"Calculate the thickness in millimeters of paper after N folds.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.244Z"},"rows":[{"text":"initial_thickness_mm = 0.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"number_of_folds = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"final_thickness_mm = initial_thickness_mm * 2^number_of_folds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12.8,"display":"12.8"}]},{"id":"osha-incident-rate","title":"OSHA Incident Rate","description":"Calculate your company's safety incident rate per 100 employees.","category":"other","icon":"shield","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.244Z"},"rows":[{"text":"numberOfIncidents = 5 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"totalHoursWorked = 200000 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"incidentRate = (numberOfIncidents * 200000) / totalHoursWorked","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"outbound-shipping-cost","title":"Outbound Shipping Cost","description":"Calculate the average cost to ship orders to your customers.","category":"business","icon":"send","tags":["shipping"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.245Z"},"rows":[{"text":"totalOutboundFreight = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"totalOutboundOrders = 3000 // orders","label":null,"prefix":null,"suffix":"orders","section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"averageOutboundCost = totalOutboundFreight / totalOutboundOrders","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"ovulation-calculator","title":"Ovulation Calculator","description":"Calculate days until ovulation and the fertile window from cycle data.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.245Z"},"rows":[{"text":"# Cycle Info","label":null,"prefix":null,"suffix":null,"section":"Cycle Info","hero":false,"slider":null,"value":null,"display":null},{"text":"days since last period = 14 // days 0..60","label":null,"prefix":null,"suffix":"days","section":"Cycle Info","hidden":false,"hero":false,"slider":{"min":0,"max":60,"step":1},"value":14,"display":"14"},{"text":"average cycle length = 28 // days 20..45","label":null,"prefix":null,"suffix":"days","section":"Cycle Info","hidden":false,"hero":false,"slider":{"min":20,"max":45,"step":1},"value":28,"display":"28"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"ovulation day = average cycle length - 14","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"days until ovulation = ovulation day - days since last period // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0,"display":"0"},{"text":"# Fertility Window","label":null,"prefix":null,"suffix":null,"section":"Fertility Window","hero":false,"slider":null,"value":null,"display":null},{"text":"fertile window start = ovulation day - 5","label":null,"prefix":null,"suffix":null,"section":"Fertility Window","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"fertile window end = ovulation day + 1","label":null,"prefix":null,"suffix":null,"section":"Fertility Window","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"}]},{"id":"ozone-layer-recovery-estimate","title":"Ozone Layer Recovery Estimate","description":"Predict years to ozone recovery based on chemical reduction.","category":"science","icon":"sun","tags":["science","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.245Z"},"rows":[{"text":"current_ozone_depleting_substances_ppb = 3.2 // parts per billion","label":null,"prefix":null,"suffix":"parts per billion","section":null,"hidden":false,"hero":false,"slider":null,"value":3.2,"display":"3.2"},{"text":"target_level_ppb = 2.0 // level in 1980","label":null,"prefix":null,"suffix":"level in 1980","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"annual_reduction_rate_percent = 2 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero years_to_target_recovery = (log(target_level_ppb / current_ozone_depleting_substances_ppb)) / (log(1 - annual_reduction_rate_percent / 100)) // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":true,"slider":null,"value":23.264388374233185,"display":"23.2644"}]},{"id":"p-e-ratio","title":"P E Ratio","description":"Calculate price-to-earnings ratio and earnings yield from stock price and EPS.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.245Z"},"rows":[{"text":"# Stock Data","label":null,"prefix":null,"suffix":null,"section":"Stock Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$stock price = 150 // 1..5k","label":null,"prefix":"$","suffix":null,"section":"Stock Data","hidden":false,"hero":false,"slider":{"min":1,"max":5000,"step":50},"value":150,"display":"$150.00"},{"text":"$earnings per share = 7.50 // 0.01..500","label":null,"prefix":"$","suffix":null,"section":"Stock Data","hidden":false,"hero":false,"slider":{"min":0.01,"max":500,"step":5},"value":7.5,"display":"$7.50"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"price to earnings ratio = stock price / earnings per share // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"earnings yield = (earnings per share / stock price) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"valuation = if(price to earnings ratio < 15, \"Potentially Undervalued\", if(price to earnings ratio < 25, \"Fair Value\", \"Growth/Premium\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Fair Value","display":"Fair Value"}]},{"id":"p-value-from-z","title":"P-Value from Z-Score (Two-Tailed)","description":"Approximate two-tailed p-value from a z-score using the normal CDF approximation.","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.246Z"},"rows":[{"text":"# Z-score","label":null,"prefix":null,"suffix":null,"section":"Z-score","hero":false,"slider":null,"value":null,"display":null},{"text":"z = 1.96 // 0..5 by 0.01","label":null,"prefix":null,"suffix":null,"section":"Z-score","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.01},"value":1.96,"display":"1.96"},{"text":"# Abramowitz-Stegun approximation for normal CDF","label":null,"prefix":null,"suffix":null,"section":"Abramowitz-Stegun approximation for normal CDF","hero":false,"slider":null,"value":null,"display":null},{"text":"# Use the high-accuracy rational approximation","label":null,"prefix":null,"suffix":null,"section":"Use the high-accuracy rational approximation","hero":false,"slider":null,"value":null,"display":null},{"text":"abs_z = abs(z)","label":null,"prefix":null,"suffix":null,"section":"Use the high-accuracy rational approximation","hidden":false,"hero":false,"slider":null,"value":1.96,"display":"1.96"},{"text":"_t = 1 / (1 + 0.2316419 * abs_z)","label":null,"prefix":null,"suffix":null,"section":"Use the high-accuracy rational approximation","hidden":true,"hero":false,"slider":null,"value":0.6877493364725074,"display":"0.6877"},{"text":"_phi_z = 0.3989422804 * exp(-(abs_z^2) / 2)","label":null,"prefix":null,"suffix":null,"section":"Use the high-accuracy rational approximation","hidden":true,"hero":false,"slider":null,"value":0.05844094433324159,"display":"0.0584"},{"text":"_prob_one_tail = phi_z * (0.319381530 * t - 0.356563782 * t^2 + 1.781477937 * t^3 - 1.821255978 * t^4 + 1.330274429 * t^5)","label":null,"prefix":null,"suffix":null,"section":"Use the high-accuracy rational approximation","hidden":true,"hero":false,"slider":null,"value":0.024997825156545833,"display":"0.025"},{"text":"# Two-tailed p-value","label":null,"prefix":null,"suffix":null,"section":"Two-tailed p-value","hero":false,"slider":null,"value":null,"display":null},{"text":"p_value = 2 * prob_one_tail // @label(Two-tailed p)","label":"Two-tailed p","prefix":null,"suffix":null,"section":"Two-tailed p-value","hidden":false,"hero":true,"slider":null,"value":0.049995650313091666,"display":"0.05"}]},{"id":"p-value-z-test","title":"P Value Z Test","description":"Approximate a one-tailed p-value from a z-score for hypothesis testing.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.246Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"z score = 1.96 // 0..5 by 0.01","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.01},"value":1.96,"display":"1.96"},{"text":"# Approximation for one-tailed p-value","label":null,"prefix":null,"suffix":null,"section":"Approximation for one-tailed p-value","hero":false,"slider":null,"value":null,"display":null},{"text":"# Using a simple approximation for the area under the normal curve","label":null,"prefix":null,"suffix":null,"section":"Using a simple approximation for the area under the normal curve","hero":false,"slider":null,"value":null,"display":null},{"text":"p value approx = 0.5 * exp(-0.717 * z score - 0.416 * z score^2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Using a simple approximation for the area under the normal curve","hidden":false,"hero":true,"slider":null,"value":0.024808404786111647,"display":"0.0248"},{"text":"confidence level = (1 - p value approx) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Using a simple approximation for the area under the normal curve","hidden":false,"hero":false,"slider":null,"value":97.51915952138884,"display":"97.5192"}]},{"id":"packet-loss-impact-tcp-throughput","title":"Packet Loss Impact Tcp Throughput","description":"Calculate maximum TCP throughput as constrained by RTT and packet loss.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.246Z"},"rows":[{"text":"bandwidth_mbps = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"round_trip_time_ms = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"packet_loss_rate = 0.001","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.001,"display":"0.001"},{"text":"max_throughput = (1460 * 8) / (round_trip_time_ms * 0.001 * (packet_loss_rate ** 0.5))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7387080.614153335,"display":"7,387,080.6142"}]},{"id":"paint-coverage","title":"Paint Coverage","description":"Calculate how many gallons of paint you need for any room, minus doors and windows.","category":"construction","icon":"paintbrush","tags":["coverage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.246Z"},"rows":[{"text":"# Room Dimensions","label":null,"prefix":null,"suffix":null,"section":"Room Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"room length = 15 // ft 5..50","label":null,"prefix":null,"suffix":"ft","section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":1},"value":15,"display":"15"},{"text":"room width = 12 // ft 5..50","label":null,"prefix":null,"suffix":"ft","section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":1},"value":12,"display":"12"},{"text":"wall height = 9 // ft 7..20","label":null,"prefix":null,"suffix":"ft","section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":7,"max":20,"step":0.2},"value":9,"display":"9"},{"text":"number of doors = 1 // 0..6","label":null,"prefix":null,"suffix":null,"section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":0,"max":6,"step":0.1},"value":1,"display":"1"},{"text":"number of windows = 2 // 0..10","label":null,"prefix":null,"suffix":null,"section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.1},"value":2,"display":"2"},{"text":"# Wall Area","label":null,"prefix":null,"suffix":null,"section":"Wall Area","hero":false,"slider":null,"value":null,"display":null},{"text":"room perimeter = 2 * (room_length + room_width) // ft","label":null,"prefix":null,"suffix":"ft","section":"Wall Area","hidden":false,"hero":false,"slider":null,"value":54,"display":"54"},{"text":"gross wall area = room_perimeter * wall_height // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":"Wall Area","hidden":false,"hero":false,"slider":null,"value":486,"display":"486"},{"text":"door area = number_of_doors * 21","label":null,"prefix":null,"suffix":null,"section":"Wall Area","hidden":false,"hero":false,"slider":null,"value":21,"display":"21"},{"text":"window area = number_of_windows * 12","label":null,"prefix":null,"suffix":null,"section":"Wall Area","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"paintable area = gross_wall_area - door_area - window_area // sq ft @hero","label":null,"prefix":null,"suffix":"sq ft","section":"Wall Area","hidden":false,"hero":true,"slider":null,"value":441,"display":"441"},{"text":"# Paint Needed","label":null,"prefix":null,"suffix":null,"section":"Paint Needed","hero":false,"slider":null,"value":null,"display":null},{"text":"coverage per gallon = 350 // sq ft 200..500 by 10","label":null,"prefix":null,"suffix":"sq ft","section":"Paint Needed","hidden":false,"hero":false,"slider":{"min":200,"max":500,"step":10},"value":350,"display":"350"},{"text":"number of coats = 2 // 1..4","label":null,"prefix":null,"suffix":null,"section":"Paint Needed","hidden":false,"hero":false,"slider":{"min":1,"max":4,"step":0.05},"value":2,"display":"2"},{"text":"gallons needed = (paintable_area * number_of_coats) / coverage_per_gallon","label":null,"prefix":null,"suffix":null,"section":"Paint Needed","hidden":false,"hero":false,"slider":null,"value":2.52,"display":"2.52"},{"text":"gallons to buy = roundup(gallons_needed)","label":null,"prefix":null,"suffix":null,"section":"Paint Needed","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"}]},{"id":"painting-coverage-gallons-required","title":"Painting Coverage Gallons Required","description":"Calculate gallons of paint needed from wall area, coverage rate, and coat count.","category":"design","icon":"palette","tags":["coverage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.247Z"},"rows":[{"text":"wall_area_square_feet = 400 // square feet","label":null,"prefix":null,"suffix":"square feet","section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"paint_coverage_per_gallon = 350 // square feet per gallon","label":null,"prefix":null,"suffix":"square feet per gallon","section":null,"hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"number_of_coats = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero total_gallons_required = (wall_area_square_feet / paint_coverage_per_gallon) * number_of_coats // gallons","label":null,"prefix":null,"suffix":"gallons","section":null,"hidden":false,"hero":true,"slider":null,"value":2.2857142857142856,"display":"2.2857"}]},{"id":"pallet-stack-height","title":"Pallet Stack Height","description":"Determine the total height of a pallet stack including the base.","category":"business","icon":"layers","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.247Z"},"rows":[{"text":"palletBaseHeight = 0.15 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"boxHeight = 0.3 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"boxesPerStack = 5 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"totalStackHeight = palletBaseHeight + (boxHeight * boxesPerStack)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.65,"display":"1.65"}]},{"id":"paper-airplane-flight-time","title":"Paper Airplane Flight Time","description":"Estimate paper airplane flight time from launch height and glide ratio.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.247Z"},"rows":[{"text":"launch_height_meters = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"glide_ratio = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"horizontal_distance = launch_height_meters * glide_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"flight_speed_m_s = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"flight_time_seconds = horizontal_distance / flight_speed_m_s","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"paper-recycling-water-saved","title":"Paper Recycling Water Saved","description":"Calculate water saved by recycling paper instead of using virgin pulp.","category":"science","icon":"file-text","tags":["eco","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.247Z"},"rows":[{"text":"paper_weight_kg = 50 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"water_saved_per_kg_recycled = 26 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":26,"display":"26"},{"text":"@hero total_water_saved_liters = paper_weight_kg * water_saved_per_kg_recycled // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":1300,"display":"1,300"}]},{"id":"parallelogram-area","title":"Parallelogram Area","description":"Find the area of a parallelogram: A = base × height.","category":"formulas","icon":"square","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.247Z"},"rows":[{"text":"# Base and height","label":null,"prefix":null,"suffix":null,"section":"Base and height","hero":false,"slider":null,"value":null,"display":null},{"text":"base = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Base and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"height = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Base and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = base * height","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":60,"display":"60"}]},{"id":"parsec-to-lightyear","title":"Parsec To Lightyear","description":"Convert parsecs to light years.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.248Z"},"rows":[{"text":"parsecs = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"light_years = parsecs * 3.26156","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.26156,"display":"3.2616"}]},{"id":"password-entropy-bits","title":"Password Entropy Bits","description":"Calculate password entropy in bits from length and character set size.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.248Z"},"rows":[{"text":"# Password Stats","label":null,"prefix":null,"suffix":null,"section":"Password Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"password length = 12 // characters","label":null,"prefix":null,"suffix":"characters","section":"Password Stats","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"charset size = 94 // 26 lower + 26 upper + 10 digits + 32 special","label":null,"prefix":null,"suffix":"26 lower + 26 upper + 10 digits + 32 special","section":"Password Stats","hidden":false,"hero":false,"slider":null,"value":94,"display":"94"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"entropy bits = password length * log2(charset size) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":78.65506622013164,"display":"78.6551"},{"text":"combinations = charset size ^ password length // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4.7592031481425336e+23,"display":"4.7592e23"}]},{"id":"pasture-grazing-capacity","title":"Pasture Grazing Capacity","description":"Calculate animal grazing capacity from pasture area, forage yield, and daily intake.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.248Z"},"rows":[{"text":"pasture_area_acres = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"forage_yield_pounds_per_acre = 2000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"animal_daily_intake_pounds = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"grazing_days = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"total_forage_available = pasture_area_acres * forage_yield_pounds_per_acre","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20000,"display":"20,000"},{"text":"@hero grazing_capacity_animal_count = total_forage_available / (animal_daily_intake_pounds * grazing_days)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":22.22222222222222,"display":"22.2222"}]},{"id":"patent-expiration-timeline","title":"Patent Expiration","description":"Determine the year a patent is likely to enter the public domain.","category":"other","icon":"award","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.248Z"},"rows":[{"text":"filingYear = 2024 // year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":2024,"display":"2,024"},{"text":"patentTermYears = 20 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"expirationYear = filingYear + patentTermYears","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2044,"display":"2,044"}]},{"id":"pavlovian-conditioning-interval","title":"Pavlovian Conditioning Interval","description":"Calculate the optimal CS-US interval ratio for Pavlovian conditioning.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.248Z"},"rows":[{"text":"cs_duration_seconds = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"us_delay_seconds = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"optimal_interval_ratio = us_delay_seconds / cs_duration_seconds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.1,"display":"0.1"}]},{"id":"payload-capacity-calculator","title":"Payload Capacity Calculator","description":"Calculate remaining payload capacity.","category":"engineering","icon":"settings","tags":["automotive","truck"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.249Z"},"rows":[{"text":"# Weight Stats","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"gross vehicle weight rating = 7000","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":7000,"display":"7,000"},{"text":"curb weight = 5200","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":5200,"display":"5,200"},{"text":"passengers weight = 350","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"cargo weight = 200","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_weight = curb weight + passengers weight + cargo weight","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":5750,"display":"5,750"},{"text":"remaining payload capacity = gross vehicle weight rating - total_weight","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1250,"display":"1,250"}]},{"id":"paypal-fee-calculator","title":"Paypal Fee Calculator","description":"Calculate net received amount after PayPal percentage and fixed fees.","category":"other","icon":"calculator","tags":["fee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.249Z"},"rows":[{"text":"invoice_amount = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"paypal_standard_percentage_fee = 0.0299","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0299,"display":"0.0299"},{"text":"paypal_fixed_fee = 0.49","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.49,"display":"0.49"},{"text":"total_paypal_fees = (invoice_amount * paypal_standard_percentage_fee) + paypal_fixed_fee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15.44,"display":"15.44"},{"text":"final_received_amount = invoice_amount - total_paypal_fees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":484.56,"display":"484.56"}]},{"id":"payroll-tax","title":"Payroll Tax","description":"Calculate total employer and employee payroll taxes (FICA, FUTA, SUTA).","category":"finance","icon":"dollar-sign","tags":["tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.249Z"},"rows":[{"text":"# Payroll Details","label":null,"prefix":null,"suffix":null,"section":"Payroll Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$gross pay = 5000 // 100..50k by 100","label":null,"prefix":"$","suffix":null,"section":"Payroll Details","hidden":false,"hero":false,"slider":{"min":100,"max":50000,"step":100},"value":5000,"display":"$5,000.00"},{"text":"social security rate = 6.2 // %","label":null,"prefix":null,"suffix":"%","section":"Payroll Details","hidden":false,"hero":false,"slider":null,"value":6.2,"display":"6.2"},{"text":"medicare rate = 1.45 // %","label":null,"prefix":null,"suffix":"%","section":"Payroll Details","hidden":false,"hero":false,"slider":null,"value":1.45,"display":"1.45"},{"text":"federal unemployment rate = 0.6 // %","label":null,"prefix":null,"suffix":"%","section":"Payroll Details","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"state unemployment rate = 3.4 // %","label":null,"prefix":null,"suffix":"%","section":"Payroll Details","hidden":false,"hero":false,"slider":null,"value":3.4,"display":"3.4"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_social_security_tax = gross pay * (social security rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":310,"display":"$310.00"},{"text":"$_medicare_tax = gross pay * (medicare rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":72.5,"display":"$72.50"},{"text":"$_futa_tax = gross pay * (federal unemployment rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":30,"display":"$30.00"},{"text":"$_suta_tax = gross pay * (state unemployment rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":170,"display":"$170.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$total employer payroll tax = social_security_tax + medicare_tax + futa_tax + suta_tax // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":582.5,"display":"$582.50"},{"text":"$total employee payroll tax = social_security_tax + medicare_tax","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":382.5,"display":"$382.50"},{"text":"$net employee pay = gross pay - total employee payroll tax","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":4617.5,"display":"$4,617.50"},{"text":"$total cost to employer = gross pay + total employer payroll tax","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":5582.5,"display":"$5,582.50"}]},{"id":"pcb-trace-width-current-capacity","title":"PCB Trace Width Current","description":"Calculate required trace width for a given current and temp rise.","category":"engineering","icon":"layout","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.249Z"},"rows":[{"text":"current_amperes = 2 // Amps","label":null,"prefix":null,"suffix":"Amps","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"temp_rise_celsius = 10 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"copper_thickness_oz = 1 // oz/ft2","label":null,"prefix":null,"suffix":"oz/ft2","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero required_trace_width_mils = (current_amperes / (0.048 * (temp_rise_celsius^0.44)))^(1/0.725) // mils","label":null,"prefix":null,"suffix":"mils","section":null,"hidden":false,"hero":true,"slider":null,"value":42.39306714892737,"display":"42.3931"}]},{"id":"pencil-writing-distance","title":"Pencil Writing Distance","description":"Calculate the total writing distance possible from a pencil's length.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.249Z"},"rows":[{"text":"pencil_length_cm = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"km_per_cm = 2.4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.4,"display":"2.4"},{"text":"total_distance_km = pencil_length_cm * km_per_cm","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"pendulum-period-large-angle","title":"Pendulum Period Large Angle","description":"Calculate pendulum period corrected for large swing amplitudes.","category":"education","icon":"book-open","tags":["pendulum","angle"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.250Z"},"rows":[{"text":"length = 1 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"gravity = 9.80665 // meters per second squared","label":null,"prefix":null,"suffix":"meters per second squared","section":null,"hidden":false,"hero":false,"slider":null,"value":9.80665,"display":"9.8067"},{"text":"angle_degrees = 30 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"_angle_radians = angle_degrees * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.5235987755982988,"display":"0.5236"},{"text":"_period_small_angle = 2 * pi * sqrt(length / gravity)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":2.00640929258904,"display":"2.0064"},{"text":"@hero period_corrected = period_small_angle * (1 + (1/16) * angle_radians^2) // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":true,"slider":null,"value":2.0407885738121707,"display":"2.0408"}]},{"id":"pendulum-period","title":"Pendulum Period","description":"Find the period and frequency of a simple pendulum at any length.","category":"science","icon":"timer","tags":["pendulum","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.250Z"},"rows":[{"text":"# Pendulum Properties","label":null,"prefix":null,"suffix":null,"section":"Pendulum Properties","hero":false,"slider":null,"value":null,"display":null},{"text":"pendulum length = 1.5 // m 0.1..10","label":null,"prefix":null,"suffix":"m","section":"Pendulum Properties","hidden":false,"hero":false,"slider":{"min":0.1,"max":10,"step":0.1},"value":1.5,"display":"1.5"},{"text":"gravitational acceleration = 9.81 // m/s² 1..25 by 0.01","label":null,"prefix":null,"suffix":"m/s²","section":"Pendulum Properties","hidden":false,"hero":false,"slider":{"min":1,"max":25,"step":0.01},"value":9.81,"display":"9.81"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"period = 2 * PI * sqrt(pendulum_length / gravitational_acceleration) // s @hero @label(Period (T = 2π√(L/g)))","label":"Period (T = 2π√(L/g))","prefix":null,"suffix":"s","section":"Results","hidden":false,"hero":true,"slider":null,"value":2.4569198788699134,"display":"2.4569"},{"text":"frequency = 1 / period // Hz","label":null,"prefix":null,"suffix":"Hz","section":"Results","hidden":false,"hero":false,"slider":null,"value":0.4070136794448343,"display":"0.407"},{"text":"angular frequency = 2 * PI * frequency // rad/s","label":null,"prefix":null,"suffix":"rad/s","section":"Results","hidden":false,"hero":false,"slider":null,"value":2.557342370508885,"display":"2.5573"},{"text":"# Different Lengths","label":null,"prefix":null,"suffix":null,"section":"Different Lengths","hero":false,"slider":null,"value":null,"display":null},{"text":"period at 1m = 2 * PI * sqrt(1 / gravitational_acceleration) // s","label":null,"prefix":null,"suffix":"s","section":"Different Lengths","hidden":false,"hero":false,"slider":null,"value":2.0060666807106475,"display":"2.0061"},{"text":"period at 0.5m = 2 * PI * sqrt(0.5 / gravitational_acceleration) // s","label":null,"prefix":null,"suffix":"s","section":"Different Lengths","hidden":false,"hero":false,"slider":null,"value":1.4185033534428872,"display":"1.4185"},{"text":"period at 2m = 2 * PI * sqrt(2 / gravitational_acceleration) // s","label":null,"prefix":null,"suffix":"s","section":"Different Lengths","hidden":false,"hero":false,"slider":null,"value":2.8370067068857745,"display":"2.837"}]},{"id":"percentage-change","title":"Percentage Change","description":"Calculate percentage increase or decrease between two values.","category":"everyday","icon":"percent","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.250Z"},"rows":[{"text":"# Values","label":null,"prefix":null,"suffix":null,"section":"Values","hero":false,"slider":null,"value":null,"display":null},{"text":"old value = 250 // 0.01..1M","label":null,"prefix":null,"suffix":null,"section":"Values","hidden":false,"hero":false,"slider":{"min":0.01,"max":1000000,"step":10000},"value":250,"display":"250"},{"text":"new value = 310 // 0.01..1M","label":null,"prefix":null,"suffix":null,"section":"Values","hidden":false,"hero":false,"slider":{"min":0.01,"max":1000000,"step":10000},"value":310,"display":"310"},{"text":"# Change","label":null,"prefix":null,"suffix":null,"section":"Change","hero":false,"slider":null,"value":null,"display":null},{"text":"change amount = new value - old value","label":null,"prefix":null,"suffix":null,"section":"Change","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"percentage change = round((change amount / old value) * 100 * 100) / 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Change","hidden":false,"hero":true,"slider":null,"value":24,"display":"24"},{"text":"# Ratios","label":null,"prefix":null,"suffix":null,"section":"Ratios","hero":false,"slider":null,"value":null,"display":null},{"text":"multiplication factor = round(new value / old value * 10000) / 10000 // @label(Multiplier (new/old))","label":"Multiplier (new/old)","prefix":null,"suffix":null,"section":"Ratios","hidden":false,"hero":false,"slider":null,"value":1.24,"display":"1.24"},{"text":"inverse factor = round(old value / new value * 10000) / 10000 // @label(Inverse (old/new))","label":"Inverse (old/new)","prefix":null,"suffix":null,"section":"Ratios","hidden":false,"hero":false,"slider":null,"value":0.8065,"display":"0.8065"},{"text":"# Reverse","label":null,"prefix":null,"suffix":null,"section":"Reverse","hero":false,"slider":null,"value":null,"display":null},{"text":"reverse pct = round(((old value - new value) / new value) * 100 * 100) / 100 // % @label(% change back to original)","label":"% change back to original","prefix":null,"suffix":"%","section":"Reverse","hidden":false,"hero":false,"slider":null,"value":-19.35,"display":"-19.35"}]},{"id":"perfect-order-rate","title":"Perfect Order Rate","description":"Measure the percentage of orders that meet all requirements perfectly.","category":"business","icon":"award","tags":["order"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.250Z"},"rows":[{"text":"ordersOnTime = 980 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":980,"display":"980"},{"text":"ordersComplete = 990 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":990,"display":"990"},{"text":"ordersDamageFree = 995 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":995,"display":"995"},{"text":"ordersWithCorrectInvoice = 990 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":990,"display":"990"},{"text":"totalOrders = 1000 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"perfectOrderRate = (ordersOnTime/totalOrders) * (ordersComplete/totalOrders) * (ordersDamageFree/totalOrders) * (ordersWithCorrectInvoice/totalOrders) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":95.569551,"display":"95.5696"}]},{"id":"period-tracker","title":"Period Tracker","description":"Calculate days until the next menstrual period from cycle history.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.250Z"},"rows":[{"text":"# History","label":null,"prefix":null,"suffix":null,"section":"History","hero":false,"slider":null,"value":null,"display":null},{"text":"days since last period start = 20 // days 0..60","label":null,"prefix":null,"suffix":"days","section":"History","hidden":false,"hero":false,"slider":{"min":0,"max":60,"step":1},"value":20,"display":"20"},{"text":"average cycle length = 28 // days 20..45","label":null,"prefix":null,"suffix":"days","section":"History","hidden":false,"hero":false,"slider":{"min":20,"max":45,"step":1},"value":28,"display":"28"},{"text":"# Projections","label":null,"prefix":null,"suffix":null,"section":"Projections","hero":false,"slider":null,"value":null,"display":null},{"text":"days until next period = average cycle length - days since last period start // @hero","label":null,"prefix":null,"suffix":null,"section":"Projections","hidden":false,"hero":true,"slider":null,"value":8,"display":"8"},{"text":"period status = days until next period","label":null,"prefix":null,"suffix":null,"section":"Projections","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"# Timeline","label":null,"prefix":null,"suffix":null,"section":"Timeline","hero":false,"slider":null,"value":null,"display":null},{"text":"next period start = average cycle length","label":null,"prefix":null,"suffix":null,"section":"Timeline","hidden":false,"hero":false,"slider":null,"value":28,"display":"28"},{"text":"expected duration = 5 // days","label":null,"prefix":null,"suffix":"days","section":"Timeline","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"late after = average cycle length + 2","label":null,"prefix":null,"suffix":null,"section":"Timeline","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"}]},{"id":"permutation-calculator","title":"Permutation Calculator","description":"Calculate n-permute-k permutations from a set of items.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.251Z"},"rows":[{"text":"n = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"k = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"result = permutation(n, k)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":720,"display":"720"}]},{"id":"perpetuity-value-calculator","title":"Perpetuity Value Calculator","description":"Calculate the present value of a perpetuity from annual cash flow and discount rate.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.251Z"},"rows":[{"text":"annual_cash_flow = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"discount_rate = 0.08","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.08,"display":"0.08"},{"text":"present_value = annual_cash_flow / discount_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":62500,"display":"62,500"}]},{"id":"personality-trait-percentile","title":"Personality Trait Percentile","description":"Calculate a z-score for a personality trait from population mean and standard deviation.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.251Z"},"rows":[{"text":"raw_score = 35","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"population_mean = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"standard_deviation = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"z_score = (raw_score - population_mean) / standard_deviation","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"pet-age","title":"Pet Age","description":"Convert dog years to human years by size.","category":"everyday","icon":"heart","tags":["dog","pet","age"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.251Z"},"rows":[{"text":"# Your Dog","label":null,"prefix":null,"suffix":null,"section":"Your Dog","hero":false,"slider":null,"value":null,"display":null},{"text":"dog age = 5 // years 1..20","label":null,"prefix":null,"suffix":"years","section":"Your Dog","hidden":false,"hero":false,"slider":{"min":1,"max":20,"step":0.2},"value":5,"display":"5"},{"text":"size factor = 1.0 // 0.8..1.3 by 0.1 @label(Size Factor (0.8=small, 1.0=medium, 1.3=large))","label":"Size Factor (0.8=small, 1.0=medium, 1.3=large)","prefix":null,"suffix":null,"section":"Your Dog","hidden":false,"hero":false,"slider":{"min":0.8,"max":1.3,"step":0.1},"value":1,"display":"1"},{"text":"# Modern Dog Age Formula","label":null,"prefix":null,"suffix":null,"section":"Modern Dog Age Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"# First 2 years age faster, then ~5 human years per dog year","label":null,"prefix":null,"suffix":null,"section":"First 2 years age faster, then ~5 human years per dog year","hero":false,"slider":null,"value":null,"display":null},{"text":"_base_years = min(dog age, 2) * 12","label":null,"prefix":null,"suffix":null,"section":"First 2 years age faster, then ~5 human years per dog year","hidden":true,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"_extra_years = max(dog age - 2, 0) * 5 * size factor","label":null,"prefix":null,"suffix":null,"section":"First 2 years age faster, then ~5 human years per dog year","hidden":true,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"human equivalent = round(base_years + extra_years) // years @hero @label(Human Equivalent Age)","label":"Human Equivalent Age","prefix":null,"suffix":"years","section":"Results","hidden":false,"hero":true,"slider":null,"value":39,"display":"39"},{"text":"simple 7x estimate = dog age * 7 // years","label":null,"prefix":null,"suffix":"years","section":"Results","hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"# Life Stage","label":null,"prefix":null,"suffix":null,"section":"Life Stage","hero":false,"slider":null,"value":null,"display":null},{"text":"is senior = max(0, dog age - 7 * (1.3 - size factor + 0.7)) // @label(Senior Years (large dogs age faster))","label":"Senior Years (large dogs age faster)","prefix":null,"suffix":null,"section":"Life Stage","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"}]},{"id":"pet-food-serving-size","title":"Pet Food Serving Size","description":"Calculate daily pet food cups from weight, calorie needs, and food density.","category":"everyday","icon":"utensils","tags":["pet","food","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.252Z"},"rows":[{"text":"pet_weight_pounds = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"calories_per_cup = 350","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"resting_energy_requirement = 70 * (pet_weight_pounds / 2.2) ** 0.75","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":366.48274031429713,"display":"366.4827"},{"text":"daily_calorie_needs = resting_energy_requirement * 1.6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":586.3723845028754,"display":"586.3724"},{"text":"cups_per_day = daily_calorie_needs / calories_per_cup","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.6753496700082153,"display":"1.6753"}]},{"id":"pet-human-age-cat","title":"Pet Human Age Cat","description":"Convert cat years to equivalent human years.","category":"everyday","icon":"smile","tags":["pet","human","age"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.252Z"},"rows":[{"text":"cat_years = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"human_equivalent_years = 24 + (cat_years - 2) * 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"pet-human-age-dog","title":"Pet Human Age Dog","description":"Convert dog years to equivalent human years using a size factor.","category":"everyday","icon":"smile","tags":["pet","human","age","dog"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.252Z"},"rows":[{"text":"dog_years = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"dog_size_factor = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"human_equivalent_years = dog_years * dog_size_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":35,"display":"35"}]},{"id":"pet-human-age-hamster","title":"Pet Human Age Hamster","description":"Convert hamster months to equivalent human years.","category":"everyday","icon":"smile","tags":["pet","human","age"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.252Z"},"rows":[{"text":"hamster_months = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"human_equivalent_years = (hamster_months / 24) * 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"ph-calculator","title":"Ph Calculator","description":"Calculate pH from hydrogen ion concentration, with acidity classification.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.252Z"},"rows":[{"text":"# Concentration","label":null,"prefix":null,"suffix":null,"section":"Concentration","hero":false,"slider":null,"value":null,"display":null},{"text":"hydrogen ion concentration = 0.00001 // mol/l 1e-14..1","label":null,"prefix":null,"suffix":"mol/l","section":"Concentration","hidden":false,"hero":false,"slider":{"min":1e-14,"max":1,"step":0.01},"value":0.00001,"display":"0.00001"},{"text":"# Formula: -log10[H+]","label":null,"prefix":null,"suffix":null,"section":"Formula: -log10[H+]","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"ph level = -log10(hydrogen ion concentration) // @hero","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"# Status","label":null,"prefix":null,"suffix":null,"section":"Status","hero":false,"slider":null,"value":null,"display":null},{"text":"acidity = ph level","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"is acidic = ph level < 7","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"is neutral = ph level == 7","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"is basic = ph level > 7","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"# Reference","label":null,"prefix":null,"suffix":null,"section":"Reference","hero":false,"slider":null,"value":null,"display":null},{"text":"poh = 14 - ph level","label":null,"prefix":null,"suffix":null,"section":"Reference","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"hydroxide concentration = 10^-poh","label":null,"prefix":null,"suffix":null,"section":"Reference","hidden":false,"hero":false,"slider":null,"value":1e-9,"display":"1e-9"}]},{"id":"photography-exposure-value-ev","title":"Photography Exposure Value Ev","description":"Calculate photographic exposure value (EV) corrected for ISO.","category":"design","icon":"palette","tags":["exposure","ev"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.253Z"},"rows":[{"text":"aperture_f_stop = 2.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.8,"display":"2.8"},{"text":"shutter_speed = 0.01 // seconds (1/100)","label":null,"prefix":null,"suffix":"seconds (1/100)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"iso = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero exposure_value_at_iso_100 = log2(aperture_f_stop^2 / shutter_speed)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.614709844115207,"display":"9.6147"},{"text":"@hero exposure_value_corrected = exposure_value_at_iso_100 + log2(iso / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.614709844115207,"display":"9.6147"}]},{"id":"photography-print-resolution","title":"Photography Print Resolution","description":"Calculate maximum print dimensions and megapixels from image pixel dimensions.","category":"other","icon":"calculator","tags":["print"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.253Z"},"rows":[{"text":"# Image Stats","label":null,"prefix":null,"suffix":null,"section":"Image Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"width pixels = 6000","label":null,"prefix":null,"suffix":null,"section":"Image Stats","hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"height pixels = 4000","label":null,"prefix":null,"suffix":null,"section":"Image Stats","hidden":false,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"# Print settings","label":null,"prefix":null,"suffix":null,"section":"Print settings","hero":false,"slider":null,"value":null,"display":null},{"text":"desired dpi = 300 // dots per inch","label":null,"prefix":null,"suffix":"dots per inch","section":"Print settings","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"max print width = width pixels / desired dpi // inches @hero","label":null,"prefix":null,"suffix":"inches","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"max print height = height pixels / desired dpi // inches @hero","label":null,"prefix":null,"suffix":"inches","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":13.333333333333334,"display":"13.3333"},{"text":"megapixels = (width pixels * height pixels) / 1000000 // MP @hero","label":null,"prefix":null,"suffix":"MP","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":24,"display":"24"}]},{"id":"picking-productivity-lines-per-hour","title":"Picking Productivity","description":"Measure how many order lines are picked per labor hour.","category":"business","icon":"list","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.253Z"},"rows":[{"text":"totalLinesPicked = 1200 // lines","label":null,"prefix":null,"suffix":"lines","section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"totalHoursWorked = 40 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"pickingProductivity = totalLinesPicked / totalHoursWorked","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"pickling-vinegar-ratio","title":"Pickling Vinegar Ratio","description":"Calculate final acidity percentage of a pickling brine from vinegar and water ratio.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.253Z"},"rows":[{"text":"vinegar_volume_cups = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"water_volume_cups = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"vinegar_acidity_percent = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total_volume_cups = vinegar_volume_cups + water_volume_cups","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"@hero final_acidity_percent = (vinegar_volume_cups * vinegar_acidity_percent) / total_volume_cups // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"picture-frame-mat-size","title":"Picture Frame Mat Size","description":"Calculate mat and frame dimensions for a photo.","category":"design","icon":"frame","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.254Z"},"rows":[{"text":"photo_width_inches = 8 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"photo_height_inches = 10 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"mat_border_inches = 2 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero frame_opening_width = photo_width_inches + (2 * mat_border_inches) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":12,"display":"12"},{"text":"frame_opening_height = photo_height_inches + (2 * mat_border_inches) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":14,"display":"14"}]},{"id":"pilot-crosswind-component","title":"Pilot Crosswind Component","description":"Calculate crosswind component in knots from wind speed and angle to runway.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.254Z"},"rows":[{"text":"wind_speed_knots = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"wind_angle_degrees = 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"@hero crosswind_component_knots = wind_speed_knots * sin(wind_angle_degrees * 3.14159 / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.274146860546511,"display":"0.2741"}]},{"id":"piotroski-f-score","title":"Piotroski F Score","description":"Calculate the Piotroski F-Score from nine financial-health checks.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.254Z"},"rows":[{"text":"net_income_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"operating_cash_flow_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"return_on_assets_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"accruals_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"leverage_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"liquidity_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"equity_issuance_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"gross_margin_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"asset_turnover_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"total_f_score = net_income_score + operating_cash_flow_score + return_on_assets_score + accruals_score + leverage_score + liquidity_score + equity_issuance_score + gross_margin_score + asset_turnover_score","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9,"display":"9"}]},{"id":"pipe-flow","title":"Pipe Flow","description":"Calculate flow velocity, Reynolds number, and pressure drop through pipes.","category":"engineering","icon":"droplet","tags":["flow"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.254Z"},"rows":[{"text":"# Pipe Dimensions","label":null,"prefix":null,"suffix":null,"section":"Pipe Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"pipe inner diameter = 4 // in 0.5..24","label":null,"prefix":null,"suffix":"in","section":"Pipe Dimensions","hidden":false,"hero":false,"slider":{"min":0.5,"max":24,"step":0.5},"value":4,"display":"4"},{"text":"pipe length = 100 // ft 10..5k by 10","label":null,"prefix":null,"suffix":"ft","section":"Pipe Dimensions","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":10},"value":100,"display":"100"},{"text":"surface roughness = 0.00015 // ft 0.00001..0.01","label":null,"prefix":null,"suffix":"ft","section":"Pipe Dimensions","hidden":false,"hero":false,"slider":{"min":0.00001,"max":0.01,"step":0.00009999999999999999},"value":0.00015,"display":"0.00015"},{"text":"# Flow","label":null,"prefix":null,"suffix":null,"section":"Flow","hero":false,"slider":null,"value":null,"display":null},{"text":"flow rate = 100 // GPM 1..2k","label":null,"prefix":null,"suffix":"GPM","section":"Flow","hidden":false,"hero":false,"slider":{"min":1,"max":2000,"step":20},"value":100,"display":"100"},{"text":"diameter ft = pipe_inner_diameter / 12","label":null,"prefix":null,"suffix":null,"section":"Flow","hidden":false,"hero":false,"slider":null,"value":0.3333333333333333,"display":"0.3333"},{"text":"cross section area = PI * (diameter_ft / 2)^2 // ft²","label":null,"prefix":null,"suffix":"ft²","section":"Flow","hidden":false,"hero":false,"slider":null,"value":0.08726646259971647,"display":"0.0873"},{"text":"flow cfs = flow_rate / 449","label":null,"prefix":null,"suffix":null,"section":"Flow","hidden":false,"hero":false,"slider":null,"value":0.22271714922049,"display":"0.2227"},{"text":"flow velocity = flow_cfs / cross_section_area // ft/s @hero","label":null,"prefix":null,"suffix":"ft/s","section":"Flow","hidden":false,"hero":true,"slider":null,"value":2.5521505351038902,"display":"2.5522"},{"text":"# Head Loss (Darcy-Weisbach approx)","label":null,"prefix":null,"suffix":null,"section":"Head Loss (Darcy-Weisbach approx)","hero":false,"slider":null,"value":null,"display":null},{"text":"reynolds number = flow_velocity * diameter_ft / 0.0000141","label":null,"prefix":null,"suffix":null,"section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":null,"value":60334.52801664043,"display":"60,334.528"},{"text":"friction factor approx = 0.025 // 0.005..0.1","label":null,"prefix":null,"suffix":null,"section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":{"min":0.005,"max":0.1,"step":0.001},"value":0.025,"display":"0.025"},{"text":"head loss = friction_factor_approx * (pipe_length / diameter_ft) * (flow_velocity^2) / (2 * 32.2) // ft","label":null,"prefix":null,"suffix":"ft","section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":null,"value":0.7585565629461652,"display":"0.7586"},{"text":"pressure drop = head_loss * 0.433 // psi","label":null,"prefix":null,"suffix":"psi","section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":null,"value":0.32845499175568954,"display":"0.3285"}]},{"id":"pipe-pressure-drop-hazen-williams","title":"Pipe Pressure Drop","description":"Calculate pressure loss in pipes using Hazen-Williams.","category":"engineering","icon":"droplet","tags":["engineering","plumbing","fluids"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.255Z"},"rows":[{"text":"flow_rate_gpm = 50 // gallons per minute","label":null,"prefix":null,"suffix":"gallons per minute","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"pipe_diameter_inches = 2 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"pipe_length_feet = 100 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"roughness_coefficient_c = 140 // for PVC","label":null,"prefix":null,"suffix":"for PVC","section":null,"hidden":false,"hero":false,"slider":null,"value":140,"display":"140"},{"text":"@hero pressure_drop_psi = 4.52 * pipe_length_feet * (flow_rate_gpm^1.85) / (roughness_coefficient_c^1.85 * pipe_diameter_inches^4.87) // psi","label":null,"prefix":null,"suffix":"psi","section":null,"hidden":false,"hero":true,"slider":null,"value":2.300805982491716,"display":"2.3008"}]},{"id":"pixel-converter","title":"Pixel Converter","description":"Convert between px, rem, em, and pt units.","category":"design","icon":"type","tags":["pixel","font"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.255Z"},"rows":[{"text":"# Base Settings","label":null,"prefix":null,"suffix":null,"section":"Base Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base font size = 16 // px 8..32","label":null,"prefix":null,"suffix":"px","section":"Base Settings","hidden":false,"hero":false,"slider":{"min":8,"max":32,"step":1},"value":16,"display":"16"},{"text":"pixel value = 24 // px 1..200","label":null,"prefix":null,"suffix":"px","section":"Base Settings","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":24,"display":"24"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"rem value = round(pixel value / base font size * 10000) / 10000 // rem @hero","label":null,"prefix":null,"suffix":"rem","section":"Conversions","hidden":false,"hero":true,"slider":null,"value":1.5,"display":"1.5"},{"text":"em value = round(pixel value / base font size * 10000) / 10000 // em @label(em (same as rem at root))","label":"em (same as rem at root)","prefix":null,"suffix":"em","section":"Conversions","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"pt value = round(pixel value * 0.75 * 100) / 100 // pt","label":null,"prefix":null,"suffix":"pt","section":"Conversions","hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"# Reverse: rem to px","label":null,"prefix":null,"suffix":null,"section":"Reverse: rem to px","hero":false,"slider":null,"value":null,"display":null},{"text":"rem input = 1.5 // rem 0.1..20 by 0.1","label":null,"prefix":null,"suffix":"rem","section":"Reverse: rem to px","hidden":false,"hero":false,"slider":{"min":0.1,"max":20,"step":0.1},"value":1.5,"display":"1.5"},{"text":"px from rem = round(rem input * base font size * 10) / 10 // px","label":null,"prefix":null,"suffix":"px","section":"Reverse: rem to px","hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"# Common Sizes","label":null,"prefix":null,"suffix":null,"section":"Common Sizes","hero":false,"slider":null,"value":null,"display":null},{"text":"px for 1rem = base font size // px","label":null,"prefix":null,"suffix":"px","section":"Common Sizes","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"px for 0.875rem = round(0.875 * base font size * 10) / 10 // px @label(0.875rem in px (small text))","label":"0.875rem in px (small text)","prefix":null,"suffix":"px","section":"Common Sizes","hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"px for 1.25rem = round(1.25 * base font size * 10) / 10 // px @label(1.25rem in px (large text))","label":"1.25rem in px (large text)","prefix":null,"suffix":"px","section":"Common Sizes","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"}]},{"id":"pizza-slice-angle","title":"Pizza Slice Angle","description":"Calculate the angle in degrees of each slice in a divided pizza.","category":"everyday","icon":"smile","tags":["angle"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.255Z"},"rows":[{"text":"number_of_slices = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"angle_degrees = 360 / number_of_slices","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":45,"display":"45"}]},{"id":"pizza-value","title":"Pizza Value","description":"Compare pizza sizes to find the best deal per square inch.","category":"everyday","icon":"pizza","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.255Z"},"rows":[{"text":"# Small Pizza","label":null,"prefix":null,"suffix":null,"section":"Small Pizza","hero":false,"slider":null,"value":null,"display":null},{"text":"small diameter = 10 // inches 6..16","label":null,"prefix":null,"suffix":"inches","section":"Small Pizza","hidden":false,"hero":false,"slider":{"min":6,"max":16,"step":0.1},"value":10,"display":"10"},{"text":"$small price = 9.99 // 4..30","label":null,"prefix":"$","suffix":null,"section":"Small Pizza","hidden":false,"hero":false,"slider":{"min":4,"max":30,"step":1},"value":9.99,"display":"$9.99"},{"text":"small area = round(3.14159 * (small diameter / 2)^2 * 10) / 10 // sq in","label":null,"prefix":null,"suffix":"sq in","section":"Small Pizza","hidden":false,"hero":false,"slider":null,"value":78.5,"display":"78.5"},{"text":"# Large Pizza","label":null,"prefix":null,"suffix":null,"section":"Large Pizza","hero":false,"slider":null,"value":null,"display":null},{"text":"large diameter = 16 // inches 10..24","label":null,"prefix":null,"suffix":"inches","section":"Large Pizza","hidden":false,"hero":false,"slider":{"min":10,"max":24,"step":0.2},"value":16,"display":"16"},{"text":"$large price = 16.99 // 8..40","label":null,"prefix":"$","suffix":null,"section":"Large Pizza","hidden":false,"hero":false,"slider":{"min":8,"max":40,"step":1},"value":16.99,"display":"$16.99"},{"text":"large area = round(3.14159 * (large diameter / 2)^2 * 10) / 10 // sq in","label":null,"prefix":null,"suffix":"sq in","section":"Large Pizza","hidden":false,"hero":false,"slider":null,"value":201.1,"display":"201.1"},{"text":"# Value Comparison","label":null,"prefix":null,"suffix":null,"section":"Value Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"$small price per sq in = round(small price / small area * 1000) / 1000 // @label(Small: Price Per Sq Inch)","label":"Small: Price Per Sq Inch","prefix":"$","suffix":null,"section":"Value Comparison","hidden":false,"hero":false,"slider":null,"value":0.127,"display":"$0.13"},{"text":"$large price per sq in = round(large price / large area * 1000) / 1000 // @label(Large: Price Per Sq Inch)","label":"Large: Price Per Sq Inch","prefix":"$","suffix":null,"section":"Value Comparison","hidden":false,"hero":false,"slider":null,"value":0.084,"display":"$0.08"},{"text":"large vs small area = round(large area / small area * 10) / 10 // x more pizza @hero @label(Large Has X Times More Pizza)","label":"Large Has X Times More Pizza","prefix":null,"suffix":"x more pizza","section":"Value Comparison","hidden":false,"hero":true,"slider":null,"value":2.6,"display":"2.6"},{"text":"$savings per sq in = round((small price per sq in - large price per sq in) * 1000) / 1000 // @label(You Save Per Sq Inch With Large)","label":"You Save Per Sq Inch With Large","prefix":"$","suffix":null,"section":"Value Comparison","hidden":false,"hero":false,"slider":null,"value":0.043,"display":"$0.04"}]},{"id":"planetary-equilibrium-temperature","title":"Planetary Equilibrium Temperature","description":"Calculate a planet's equilibrium temperature from distance, albedo, and star luminosity.","category":"science","icon":"globe","tags":["planetary","temperature"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.256Z"},"rows":[{"text":"distance_au = 1.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"albedo = 0.3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"star_luminosity_solar = 1.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"temperature_kelvin = 278 * (star_luminosity_solar^0.25) * sqrt((1 - albedo) / distance_au)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":232.59148737647303,"display":"232.5915"}]},{"id":"planetary-periods","title":"Planetary Periods","description":"Compare a planet's rotation and orbital period — when a day exceeds a year.","category":"science","icon":"globe","tags":["orbit"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.256Z"},"rows":[{"text":"# Planet (default: Venus)","label":null,"prefix":null,"suffix":null,"section":"Planet (default: Venus)","hero":false,"slider":null,"value":null,"display":null},{"text":"rotation days = 243 // Earth days 0.1..10k","label":null,"prefix":null,"suffix":"Earth days","section":"Planet (default: Venus)","hidden":false,"hero":false,"slider":{"min":0.1,"max":10000,"step":100},"value":243,"display":"243"},{"text":"orbital days = 224.7 // Earth days 0.1..100k","label":null,"prefix":null,"suffix":"Earth days","section":"Planet (default: Venus)","hidden":false,"hero":false,"slider":{"min":0.1,"max":100000,"step":1000},"value":224.7,"display":"224.7"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"day longer than year = rotation days - orbital days // days @hero @label(Day minus year (Earth days))","label":"Day minus year (Earth days)","prefix":null,"suffix":"days","section":"Comparison","hidden":false,"hero":true,"slider":null,"value":18.3,"display":"18.3"},{"text":"ratio day to year = round(rotation days / orbital days, 3) // @label(Rotation ÷ orbit)","label":"Rotation ÷ orbit","prefix":null,"suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":1.081,"display":"1.081"},{"text":"# How Many \"Years\" in One \"Day\"","label":null,"prefix":null,"suffix":null,"section":"How Many \"Years\" in One \"Day\"","hero":false,"slider":null,"value":null,"display":null},{"text":"years per day = round(rotation days / orbital days, 3) // @label(Years per rotation)","label":"Years per rotation","prefix":null,"suffix":null,"section":"How Many \"Years\" in One \"Day\"","hidden":false,"hero":false,"slider":null,"value":1.081,"display":"1.081"},{"text":"# Reference: Earth","label":null,"prefix":null,"suffix":null,"section":"Reference: Earth","hero":false,"slider":null,"value":null,"display":null},{"text":"earth rotation hours = 23.93 // hr @label(Earth sidereal day) @suffix(hr)","label":"Earth sidereal day","prefix":null,"suffix":"hr","section":"Reference: Earth","hidden":false,"hero":false,"slider":null,"value":23.93,"display":"23.93"},{"text":"earth orbit days = 365.25 // days @label(Earth orbit (days))","label":"Earth orbit (days)","prefix":null,"suffix":"days","section":"Reference: Earth","hidden":false,"hero":false,"slider":null,"value":365.25,"display":"365.25"}]},{"id":"planetary-surface-gravity","title":"Planetary Surface Gravity","description":"Calculate surface gravity of a planet from its mass and radius.","category":"science","icon":"globe","tags":["planetary","gravity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.256Z"},"rows":[{"text":"planetary_mass_kilograms = 5.97e24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5.97e+24,"display":"5.97e24"},{"text":"planetary_radius_meters = 6371000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371000,"display":"6,371,000"},{"text":"gravitational_constant = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"surface_gravity = (gravitational_constant * planetary_mass_kilograms) / planetary_radius_meters^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.816243509027343,"display":"9.8162"}]},{"id":"plant-population-density","title":"Plant Population Density","description":"Calculate total plants needed for a field or garden bed.","category":"everyday","icon":"sprout","tags":["garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.256Z"},"rows":[{"text":"field_width_meters = 20 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"field_length_meters = 50 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"row_spacing_meters = 0.5 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"plant_spacing_in_row_meters = 0.3 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"@hero total_plants = (field_width_meters / row_spacing_meters) * (field_length_meters / plant_spacing_in_row_meters)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6666.666666666666,"display":"6,666.6667"}]},{"id":"plant-watering-frequency-estimator","title":"Plant Watering Frequency Estimator","description":"Estimate days between waterings based on temperature and humidity.","category":"health","icon":"leaf","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.256Z"},"rows":[{"text":"container_size_liters = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"ambient_temperature_celsius = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"humidity_percentage = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"base_watering_interval_days = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"temperature_factor = (ambient_temperature_celsius - 20) * 0.2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"humidity_factor = (60 - humidity_percentage) * 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"estimated_watering_interval_days = base_watering_interval_days - temperature_factor - humidity_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"plastic-bottle-waste-reduction","title":"Plastic Bottle Waste Reduction","description":"Calculate weight of plastic waste avoided by using reusables.","category":"everyday","icon":"cup-soda","tags":["eco","waste"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.257Z"},"rows":[{"text":"bottles_per_week = 7 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"bottle_weight_grams = 15 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"weeks_per_year = 52 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":52,"display":"52"},{"text":"@hero annual_plastic_waste_avoided_kg = bottles_per_week * bottle_weight_grams * weeks_per_year / 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":5.46,"display":"5.46"}]},{"id":"podcast-hosting-cost-growth","title":"Podcast Hosting Cost Growth","description":"Project monthly podcast hosting cost growth from storage increases.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.257Z"},"rows":[{"text":"initial_monthly_hosting_cost = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"monthly_storage_increase_gigabytes = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"cost_per_extra_gigabyte = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"months_of_growth = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"projected_monthly_cost_after_growth = initial_monthly_hosting_cost + (monthly_storage_increase_gigabytes * months_of_growth * cost_per_extra_gigabyte)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":140,"display":"140"}]},{"id":"point-break-even-mortgage","title":"Point Break Even Mortgage","description":"Calculate months to break even when buying mortgage discount points.","category":"finance","icon":"home","tags":["mortgage","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.257Z"},"rows":[{"text":"# Points Analysis","label":null,"prefix":null,"suffix":null,"section":"Points Analysis","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan amount = 400000 // 50k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Points Analysis","hidden":false,"hero":false,"slider":{"min":50000,"max":1000000,"step":5000},"value":400000,"display":"$400,000.00"},{"text":"interest rate without points = 7.0 // %","label":null,"prefix":null,"suffix":"%","section":"Points Analysis","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"interest rate with points = 6.75 // %","label":null,"prefix":null,"suffix":"%","section":"Points Analysis","hidden":false,"hero":false,"slider":null,"value":6.75,"display":"6.75"},{"text":"number of points = 1 // 0..4 by 0.25","label":null,"prefix":null,"suffix":null,"section":"Points Analysis","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.25},"value":1,"display":"1"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_cost_of_points = loan amount * (number of points / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":4000,"display":"$4,000.00"},{"text":"$_monthly_payment_no_points = loan amount * (7.0/1200 * (1+7.0/1200)^360) / ((1+7.0/1200)^360 - 1)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2661.2099807167297,"display":"$2,661.21"},{"text":"$_monthly_payment_with_points = loan amount * (6.75/1200 * (1+6.75/1200)^360) / ((1+6.75/1200)^360 - 1)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2594.392386272862,"display":"$2,594.39"},{"text":"$_monthly_savings = monthly_payment_no_points - monthly_payment_with_points","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":66.8175944438676,"display":"$66.82"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"break even months = cost_of_points / monthly_savings // @hero months","label":null,"prefix":null,"suffix":"months","section":"Result","hidden":false,"hero":true,"slider":null,"value":59.864471825012146,"display":"59.8645"},{"text":"break even years = break even months / 12","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":4.9887059854176785,"display":"4.9887"},{"text":"$total savings over 30 years = (monthly_savings * 360) - cost_of_points","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":20054.333999792336,"display":"$20,054.33"}]},{"id":"point-distance-2d","title":"Point Distance 2d","description":"Calculate Euclidean distance between two 2D points.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.257Z"},"rows":[{"text":"# Point 1","label":null,"prefix":null,"suffix":null,"section":"Point 1","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 0 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 1","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":0,"display":"0"},{"text":"y1 = 0 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 1","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":0,"display":"0"},{"text":"# Point 2","label":null,"prefix":null,"suffix":null,"section":"Point 2","hero":false,"slider":null,"value":null,"display":null},{"text":"x2 = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"y2 = 4 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Point 2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":4,"display":"4"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_dx = x2 - x1","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"_dy = y2 - y1","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"distance = sqrt(dx^2 + dy^2)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"point-slope-form","title":"Point-Slope Form","description":"Evaluate y from point-slope form: y - y₁ = m(x - x₁).","category":"formulas","icon":"trending-up","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.257Z"},"rows":[{"text":"# Line through (x1, y1) with slope m","label":null,"prefix":null,"suffix":null,"section":"Line through (x1, y1) with slope m","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Line through (x1, y1) with slope m","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"y1 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Line through (x1, y1) with slope m","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"m = 4 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Line through (x1, y1) with slope m","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":4,"display":"4"},{"text":"# Evaluate at x","label":null,"prefix":null,"suffix":null,"section":"Evaluate at x","hero":false,"slider":null,"value":null,"display":null},{"text":"x = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Evaluate at x","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"y = m * (x - x1) + y1","label":null,"prefix":null,"suffix":null,"section":"Evaluate at x","hidden":false,"hero":true,"slider":null,"value":15,"display":"15"}]},{"id":"poisson-distribution","title":"Poisson Distribution","description":"Probability of exactly k events: P(X = k) = (λᵏ · e^(−λ)) / k!.","category":"formulas","icon":"sigma","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.258Z"},"rows":[{"text":"# Parameters","label":null,"prefix":null,"suffix":null,"section":"Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"lambda_rate = 3 // 0.01..100","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0.01,"max":100,"step":1},"value":3,"display":"3"},{"text":"k = 2 // 0..50","label":null,"prefix":null,"suffix":null,"section":"Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":2,"display":"2"},{"text":"# Probability","label":null,"prefix":null,"suffix":null,"section":"Probability","hero":false,"slider":null,"value":null,"display":null},{"text":"probability = (lambda_rate^k * exp(-lambda_rate)) / factorial(k) // @label(P(X = k))","label":"P(X = k)","prefix":null,"suffix":null,"section":"Probability","hidden":false,"hero":true,"slider":null,"value":0.22404180765538775,"display":"0.224"}]},{"id":"poker-hand-probability","title":"Poker Hand Probability","description":"Calculate probabilities of common 5-card poker hands from a 52-card deck.","category":"math","icon":"infinity","tags":["probability","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.258Z"},"rows":[{"text":"# Deck Size","label":null,"prefix":null,"suffix":null,"section":"Deck Size","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 52 // cards","label":null,"prefix":null,"suffix":"cards","section":"Deck Size","hidden":false,"hero":false,"slider":null,"value":52,"display":"52"},{"text":"k = 5 // hand size","label":null,"prefix":null,"suffix":"hand size","section":"Deck Size","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"# Combinations of nCr","label":null,"prefix":null,"suffix":null,"section":"Combinations of nCr","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_hands = 2598960","label":null,"prefix":null,"suffix":null,"section":"Combinations of nCr","hidden":true,"hero":false,"slider":null,"value":2598960,"display":"2,598,960"},{"text":"# Specific Hand Counts","label":null,"prefix":null,"suffix":null,"section":"Specific Hand Counts","hero":false,"slider":null,"value":null,"display":null},{"text":"royal flush count = 4","label":null,"prefix":null,"suffix":null,"section":"Specific Hand Counts","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"straight flush count = 36","label":null,"prefix":null,"suffix":null,"section":"Specific Hand Counts","hidden":false,"hero":false,"slider":null,"value":36,"display":"36"},{"text":"four of a kind count = 624","label":null,"prefix":null,"suffix":null,"section":"Specific Hand Counts","hidden":false,"hero":false,"slider":null,"value":624,"display":"624"},{"text":"full house count = 3744","label":null,"prefix":null,"suffix":null,"section":"Specific Hand Counts","hidden":false,"hero":false,"slider":null,"value":3744,"display":"3,744"},{"text":"flush count = 5108","label":null,"prefix":null,"suffix":null,"section":"Specific Hand Counts","hidden":false,"hero":false,"slider":null,"value":5108,"display":"5,108"},{"text":"straight count = 10200","label":null,"prefix":null,"suffix":null,"section":"Specific Hand Counts","hidden":false,"hero":false,"slider":null,"value":10200,"display":"10,200"},{"text":"# Calculation (Choose one)","label":null,"prefix":null,"suffix":null,"section":"Calculation (Choose one)","hero":false,"slider":null,"value":null,"display":null},{"text":"prob of flush = (flush count / total_hands) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation (Choose one)","hidden":false,"hero":true,"slider":null,"value":0.1965401545233478,"display":"0.1965"},{"text":"prob of straight = (straight count / total_hands) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation (Choose one)","hidden":false,"hero":true,"slider":null,"value":0.3924646781789639,"display":"0.3925"}]},{"id":"polar-ice-melt-sea-level-rise","title":"Polar Ice Melt Sea Level Rise","description":"Calculate sea level rise from melting ice sheets.","category":"science","icon":"mountain","tags":["science","eco","ocean"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.258Z"},"rows":[{"text":"ice_melt_gigatonnes = 300 // gigatonnes","label":null,"prefix":null,"suffix":"gigatonnes","section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"ocean_surface_area_square_km = 361800000 // sq km","label":null,"prefix":null,"suffix":"sq km","section":null,"hidden":false,"hero":false,"slider":null,"value":361800000,"display":"361,800,000"},{"text":"water_density_kg_m3 = 1000 // kg/m3","label":null,"prefix":null,"suffix":"kg/m3","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"sea_level_rise_mm_per_gigatonne = 1 / 361.8 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":0.002763957987838585,"display":"0.002764"},{"text":"@hero total_sea_level_rise_mm = ice_melt_gigatonnes * sea_level_rise_mm_per_gigatonne // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":true,"slider":null,"value":0.8291873963515756,"display":"0.8292"}]},{"id":"pomodoro-session-cycles-timer","title":"Pomodoro Session Cycles Timer","description":"Calculate total elapsed time across pomodoro work-break cycles.","category":"productivity","icon":"clock","tags":["timer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.259Z"},"rows":[{"text":"work_session_minutes = 25 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"short_break_minutes = 5 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"long_break_minutes = 15 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"sessions_before_long_break = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"cycles_completed = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"_total_work_minutes = cycles_completed * work_session_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"_total_break_minutes = (cycles_completed - 1) * short_break_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero total_elapsed_time = total_work_minutes + total_break_minutes // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":55,"display":"55"}]},{"id":"pond-volume-liters","title":"Pond Volume Liters","description":"Calculate pond volume in liters from length, width, and average depth.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.259Z"},"rows":[{"text":"length = 10 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"width = 5 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"average_depth = 1.5 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"volume_cubic_meters = length * width * average_depth // cubic meters","label":null,"prefix":null,"suffix":"cubic meters","section":null,"hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"liters_per_cubic_meter = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"volume_liters = volume_cubic_meters * liters_per_cubic_meter // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":75000,"display":"75,000"}]},{"id":"pool-acid-dosage","title":"Pool Acid Dosage","description":"Calculate ounces of acid needed to lower pool pH to a target.","category":"health","icon":"activity","tags":["pool","dosage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.259Z"},"rows":[{"text":"pool_volume_gallons = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"current_ph = 8.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"target_ph = 7.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.5,"display":"7.5"},{"text":"acid_strength_baume = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"ph_drop_needed = current_ph - target_ph","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"acid_dosage_ounces = (ph_drop_needed * pool_volume_gallons) / 1000 * (acid_strength_baume / 20)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"pool-chlorine-dosage","title":"Pool Chlorine Dosage","description":"Calculate ounces of chlorine needed to raise pool chlorine to a target PPM.","category":"health","icon":"activity","tags":["pool","dosage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.260Z"},"rows":[{"text":"pool_volume_gallons = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"current_chlorine_ppm = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"target_chlorine_ppm = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"chlorine_strength_percent = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"chlorine_increase_needed = target_chlorine_ppm - current_chlorine_ppm","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"chlorine_dosage_ounces = (chlorine_increase_needed * pool_volume_gallons) / (chlorine_strength_percent * 0.75)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2666.6666666666665,"display":"2,666.6667"}]},{"id":"pool-volume-rectangle","title":"Pool Volume Rectangle","description":"Calculate rectangular pool volume in gallons from length, width, and depth.","category":"science","icon":"flask-conical","tags":["pool","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.260Z"},"rows":[{"text":"length_feet = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"width_feet = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"average_depth_feet = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"volume_cubic_feet = length_feet * width_feet * average_depth_feet","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2250,"display":"2,250"},{"text":"@hero volume_gallons = volume_cubic_feet * 7.48","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16830,"display":"16,830"}]},{"id":"pool-volume-round","title":"Pool Volume Round","description":"Calculate round pool volume in gallons from diameter and depth.","category":"science","icon":"flask-conical","tags":["pool","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.260Z"},"rows":[{"text":"diameter_feet = 18","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"average_depth_feet = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"radius_feet = diameter_feet / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"volume_cubic_feet = 3.14159 * radius_feet^2 * average_depth_feet","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1017.87516,"display":"1,017.8752"},{"text":"@hero volume_gallons = volume_cubic_feet * 7.48","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7613.7061968,"display":"7,613.7062"}]},{"id":"popcorn-pop-rate","title":"Popcorn Pop Rate","description":"Calculate the average popping rate of popcorn kernels per second.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.260Z"},"rows":[{"text":"kernels = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"pop_time_seconds = 120","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"avg_pops_per_second = kernels / pop_time_seconds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.6666666666666667,"display":"1.6667"}]},{"id":"potential-energy","title":"Gravitational Potential Energy","description":"PE = m · g · h — gravitational potential energy near Earth's surface.","category":"formulas","icon":"zap","tags":["gravity","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.261Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"mass = 10 // kg 0.001..10k","label":null,"prefix":null,"suffix":"kg","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":10000,"step":100},"value":10,"display":"10"},{"text":"height = 5 // m 0..10k","label":null,"prefix":null,"suffix":"m","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":5,"display":"5"},{"text":"gravity = 9.8 // m/s² 0..30 by 0.001","label":null,"prefix":null,"suffix":"m/s²","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":0.001},"value":9.8,"display":"9.8"},{"text":"# Potential energy","label":null,"prefix":null,"suffix":null,"section":"Potential energy","hero":false,"slider":null,"value":null,"display":null},{"text":"potential_energy = mass * gravity * height // @label(PE) @suffix(J)","label":"PE","prefix":null,"suffix":null,"section":"Potential energy","hidden":false,"hero":true,"slider":null,"value":490,"display":"490"}]},{"id":"potential-rental-income","title":"Potential Rental Income","description":"Calculate the total possible income if a property were full.","category":"real-estate","icon":"home","tags":["rental","income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.261Z"},"rows":[{"text":"numberOfUnits = 10 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"marketRentPerUnit = 1200 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"annualPRI = numberOfUnits * marketRentPerUnit * 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":144000,"display":"144,000"}]},{"id":"potion-effectiveness","title":"Potion Effectiveness","description":"Calculate potion healing with bonuses.","category":"math","icon":"droplet","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.261Z"},"rows":[{"text":"# Potion Settings","label":null,"prefix":null,"suffix":null,"section":"Potion Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base healing = 250","label":null,"prefix":null,"suffix":null,"section":"Potion Settings","hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"healing bonus percent = 20 // %","label":null,"prefix":null,"suffix":"%","section":"Potion Settings","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"alchemy skill bonus = 15","label":null,"prefix":null,"suffix":null,"section":"Potion Settings","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"total healing = (base healing * (1 + (healing bonus percent / 100))) + alchemy skill bonus","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":315,"display":"315"}]},{"id":"power-consumption","title":"Power Consumption","description":"Estimate electricity usage and monthly costs for your appliances.","category":"engineering","icon":"zap","tags":["engineering"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.261Z"},"rows":[{"text":"# Appliances","label":null,"prefix":null,"suffix":null,"section":"Appliances","hero":false,"slider":null,"value":null,"display":null},{"text":"appliance wattage = 1500 // W 10..5k by 10","label":null,"prefix":null,"suffix":"W","section":"Appliances","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":10},"value":1500,"display":"1,500"},{"text":"hours used per day = 8 // hrs 0.5..24","label":null,"prefix":null,"suffix":"hrs","section":"Appliances","hidden":false,"hero":false,"slider":{"min":0.5,"max":24,"step":0.5},"value":8,"display":"8"},{"text":"number of appliances = 3 // 1..20","label":null,"prefix":null,"suffix":null,"section":"Appliances","hidden":false,"hero":false,"slider":{"min":1,"max":20,"step":0.2},"value":3,"display":"3"},{"text":"# Energy Use","label":null,"prefix":null,"suffix":null,"section":"Energy Use","hero":false,"slider":null,"value":null,"display":null},{"text":"daily energy use = appliance wattage * hours used per day * number of appliances / 1000 // kWh @hero","label":null,"prefix":null,"suffix":"kWh","section":"Energy Use","hidden":false,"hero":true,"slider":null,"value":36,"display":"36"},{"text":"monthly energy use = daily energy use * 30 // kWh","label":null,"prefix":null,"suffix":"kWh","section":"Energy Use","hidden":false,"hero":false,"slider":null,"value":1080,"display":"1,080"},{"text":"yearly energy use = daily energy use * 365 // kWh","label":null,"prefix":null,"suffix":"kWh","section":"Energy Use","hidden":false,"hero":false,"slider":null,"value":13140,"display":"13,140"},{"text":"# Cost","label":null,"prefix":null,"suffix":null,"section":"Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"electricity rate = 0.15 // $/kWh 0.05..0.5 by 0.01","label":null,"prefix":null,"suffix":"$/kWh","section":"Cost","hidden":false,"hero":false,"slider":{"min":0.05,"max":0.5,"step":0.01},"value":0.15,"display":"0.15"},{"text":"$daily cost = daily energy use * electricity rate","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":5.4,"display":"$5.40"},{"text":"$monthly cost = monthly energy use * electricity rate","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":162,"display":"$162.00"},{"text":"$yearly cost = yearly energy use * electricity rate","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":1971,"display":"$1,971.00"}]},{"id":"power-factor-correction-capacitor","title":"Power Factor Correction","description":"Calculate kVAR needed to reach target power factor.","category":"engineering","icon":"zap","tags":["engineering","electrical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.262Z"},"rows":[{"text":"real_power_kw = 50 // kW","label":null,"prefix":null,"suffix":"kW","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"existing_power_factor = 0.7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"target_power_factor = 0.95","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.95,"display":"0.95"},{"text":"existing_phase_angle = acos(existing_power_factor)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45.5729959991943,"display":"45.573"},{"text":"target_phase_angle = acos(target_power_factor)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":18.194872338766785,"display":"18.1949"},{"text":"@hero required_reactive_power_kvar = real_power_kw * (tan(existing_phase_angle) - tan(target_phase_angle)) // kVAR","label":null,"prefix":null,"suffix":"kVAR","section":null,"hidden":false,"hero":true,"slider":null,"value":34.5759978020772,"display":"34.576"}]},{"id":"powers-of-two","title":"Powers of Two","description":"2^n with binary storage labels and how many doublings reach a million.","category":"programming","icon":"hash","tags":["math","storage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.262Z"},"rows":[{"text":"# Exponent","label":null,"prefix":null,"suffix":null,"section":"Exponent","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 20 // 0..64","label":null,"prefix":null,"suffix":null,"section":"Exponent","hidden":false,"hero":false,"slider":{"min":0,"max":64,"step":1},"value":20,"display":"20"},{"text":"# Powers of Two","label":null,"prefix":null,"suffix":null,"section":"Powers of Two","hero":false,"slider":null,"value":null,"display":null},{"text":"two to the n = 2^n // @hero @label(2^n)","label":"2^n","prefix":null,"suffix":null,"section":"Powers of Two","hidden":false,"hero":true,"slider":null,"value":1048576,"display":"1,048,576"},{"text":"power of ten approx = round(n * log10(2), 2) // @label(≈ 10^x where x =)","label":"≈ 10^x where x =","prefix":null,"suffix":null,"section":"Powers of Two","hidden":false,"hero":false,"slider":null,"value":6.02,"display":"6.02"},{"text":"# Binary Storage Sizes","label":null,"prefix":null,"suffix":null,"section":"Binary Storage Sizes","hero":false,"slider":null,"value":null,"display":null},{"text":"bytes = two to the n // B","label":null,"prefix":null,"suffix":"B","section":"Binary Storage Sizes","hidden":false,"hero":false,"slider":null,"value":1048576,"display":"1,048,576"},{"text":"kilobytes = bytes / 1024 // KiB","label":null,"prefix":null,"suffix":"KiB","section":"Binary Storage Sizes","hidden":false,"hero":false,"slider":null,"value":1024,"display":"1,024"},{"text":"megabytes = bytes / 1048576 // MiB","label":null,"prefix":null,"suffix":"MiB","section":"Binary Storage Sizes","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"gigabytes = bytes / 1073741824 // GiB","label":null,"prefix":null,"suffix":"GiB","section":"Binary Storage Sizes","hidden":false,"hero":false,"slider":null,"value":0.0009765625,"display":"0.0009766"},{"text":"# Doublings to Reach 1 Million / Billion","label":null,"prefix":null,"suffix":null,"section":"Doublings to Reach 1 Million / Billion","hero":false,"slider":null,"value":null,"display":null},{"text":"doublings to million = round(log(1000000) / log(2), 2) // @label(2^n = 1 million when n ≈)","label":"2^n = 1 million when n ≈","prefix":null,"suffix":null,"section":"Doublings to Reach 1 Million / Billion","hidden":false,"hero":false,"slider":null,"value":19.93,"display":"19.93"},{"text":"doublings to billion = round(log(1000000000) / log(2), 2) // @label(2^n = 1 billion when n ≈)","label":"2^n = 1 billion when n ≈","prefix":null,"suffix":null,"section":"Doublings to Reach 1 Million / Billion","hidden":false,"hero":false,"slider":null,"value":29.9,"display":"29.9"}]},{"id":"pregnancy-due-date","title":"Pregnancy Timeline","description":"Track pregnancy progress, trimester, and weeks remaining.","category":"health","icon":"baby","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.262Z"},"rows":[{"text":"# Pregnancy Timeline","label":null,"prefix":null,"suffix":null,"section":"Pregnancy Timeline","hero":false,"slider":null,"value":null,"display":null},{"text":"weeks since last period = 12 // weeks 1..42","label":null,"prefix":null,"suffix":"weeks","section":"Pregnancy Timeline","hidden":false,"hero":false,"slider":{"min":1,"max":42,"step":1},"value":12,"display":"12"},{"text":"# Due Date","label":null,"prefix":null,"suffix":null,"section":"Due Date","hero":false,"slider":null,"value":null,"display":null},{"text":"total weeks = 40","label":null,"prefix":null,"suffix":null,"section":"Due Date","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"weeks remaining = total weeks - weeks since last period // weeks @hero","label":null,"prefix":null,"suffix":"weeks","section":"Due Date","hidden":false,"hero":true,"slider":null,"value":28,"display":"28"},{"text":"days remaining = weeks remaining * 7 // days","label":null,"prefix":null,"suffix":"days","section":"Due Date","hidden":false,"hero":false,"slider":null,"value":196,"display":"196"},{"text":"# Trimester","label":null,"prefix":null,"suffix":null,"section":"Trimester","hero":false,"slider":null,"value":null,"display":null},{"text":"trimester = ceil(weeks since last period / 13.33) // (1, 2, or 3)","label":null,"prefix":null,"suffix":"(1, 2, or 3)","section":"Trimester","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"current month = round(weeks since last period / 4.33 * 10) / 10 // month","label":null,"prefix":null,"suffix":"month","section":"Trimester","hidden":false,"hero":false,"slider":null,"value":2.8,"display":"2.8"},{"text":"# Baby Size","label":null,"prefix":null,"suffix":null,"section":"Baby Size","hero":false,"slider":null,"value":null,"display":null},{"text":"gestational days = weeks since last period * 7 // days","label":null,"prefix":null,"suffix":"days","section":"Baby Size","hidden":false,"hero":false,"slider":null,"value":84,"display":"84"},{"text":"percent complete = round(weeks since last period / total weeks * 100) // %","label":null,"prefix":null,"suffix":"%","section":"Baby Size","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"}]},{"id":"present-value-growing-perpetuity","title":"Present Value Growing Perpetuity","description":"Calculate present value of a growing perpetuity (Gordon growth model).","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.262Z"},"rows":[{"text":"initial_cash_flow = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"discount_rate = 0.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"growth_rate = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"present_value = initial_cash_flow / (discount_rate - growth_rate)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":71428.57142857143,"display":"71,428.5714"}]},{"id":"present-value","title":"Present Value","description":"Present value of a future amount: PV = FV / (1 + r)ⁿ.","category":"formulas","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.263Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"$future_value = 10000 // 1..10M","label":null,"prefix":"$","suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":10000000,"step":100000},"value":10000,"display":"$10,000.00"},{"text":"discount_rate = 5 // % 0..50 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":0.1},"value":5,"display":"5"},{"text":"$years = 10 // 1..100","label":null,"prefix":"$","suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"$10.00"},{"text":"# Present value","label":null,"prefix":null,"suffix":null,"section":"Present value","hero":false,"slider":null,"value":null,"display":null},{"text":"$present_value = future_value / (1 + discount_rate / 100)^years","label":null,"prefix":"$","suffix":null,"section":"Present value","hidden":false,"hero":true,"slider":null,"value":6139.132535407591,"display":"$6,139.13"}]},{"id":"pressure-altitude","title":"Pressure Altitude","description":"Calculate pressure altitude from station pressure and field elevation.","category":"science","icon":"flask-conical","tags":["altitude","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.263Z"},"rows":[{"text":"# Altimeter Settings","label":null,"prefix":null,"suffix":null,"section":"Altimeter Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"station pressure = 29.92 // inHg 25..31","label":null,"prefix":null,"suffix":"inHg","section":"Altimeter Settings","hidden":false,"hero":false,"slider":{"min":25,"max":31,"step":0.1},"value":29.92,"display":"29.92"},{"text":"field elevation = 0 // feet 0..10k","label":null,"prefix":null,"suffix":"feet","section":"Altimeter Settings","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":0,"display":"0"},{"text":"# Standard Atmosphere Formula","label":null,"prefix":null,"suffix":null,"section":"Standard Atmosphere Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"pressure altitude = ((1 - (station pressure / 29.921)^0.190284) * 145366.45) + field elevation // feet @hero","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":true,"slider":null,"value":0.9244772519580338,"display":"0.9245"},{"text":"# Flight Level","label":null,"prefix":null,"suffix":null,"section":"Flight Level","hero":false,"slider":null,"value":null,"display":null},{"text":"flight level = pressure altitude / 100","label":null,"prefix":null,"suffix":null,"section":"Flight Level","hidden":false,"hero":false,"slider":null,"value":0.009244772519580337,"display":"0.009245"},{"text":"standard pressure hpa = 1013.25","label":null,"prefix":null,"suffix":null,"section":"Flight Level","hidden":false,"hero":false,"slider":null,"value":1013.25,"display":"1,013.25"},{"text":"station pressure hpa = station pressure * 33.8639","label":null,"prefix":null,"suffix":null,"section":"Flight Level","hidden":false,"hero":false,"slider":null,"value":1013.207888,"display":"1,013.2079"},{"text":"altimeter setting = 29.92","label":null,"prefix":null,"suffix":null,"section":"Flight Level","hidden":false,"hero":false,"slider":null,"value":29.92,"display":"29.92"},{"text":"pressure correction = (altimeter setting - station pressure) * 1000","label":null,"prefix":null,"suffix":null,"section":"Flight Level","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"}]},{"id":"pressure-cooker-altitude-adjustment","title":"Pressure Cooker Altitude Adjustment","description":"Adjust pressure cooker processing time for altitude above sea level.","category":"science","icon":"flask-conical","tags":["altitude","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.263Z"},"rows":[{"text":"standard_processing_time_minutes = 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"altitude_feet = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"adjustment_factor = 1 + (max(0, altitude_feet - 2000) / 1000 * 0.05)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.15,"display":"1.15"},{"text":"@hero adjusted_processing_time_minutes = standard_processing_time_minutes * adjustment_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":69,"display":"69"}]},{"id":"pressure-unit-converter","title":"Pressure Unit Converter","description":"Convert pressure between PSI, bars, pascals, atmospheres, kPa, and torr.","category":"science","icon":"flask-conical","tags":["unit","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.263Z"},"rows":[{"text":"# Input Pressure","label":null,"prefix":null,"suffix":null,"section":"Input Pressure","hero":false,"slider":null,"value":null,"display":null},{"text":"pressure value = 32 // psi 0..10k","label":null,"prefix":null,"suffix":"psi","section":"Input Pressure","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":32,"display":"32"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"bars = pressure value * 0.0689476 // bar @hero","label":null,"prefix":null,"suffix":"bar","section":"Result","hidden":false,"hero":true,"slider":null,"value":2.2063232,"display":"2.2063"},{"text":"# Others","label":null,"prefix":null,"suffix":null,"section":"Others","hero":false,"slider":null,"value":null,"display":null},{"text":"pascals = pressure value * 6894.76","label":null,"prefix":null,"suffix":null,"section":"Others","hidden":false,"hero":false,"slider":null,"value":220632.32,"display":"220,632.32"},{"text":"atmospheres = pressure value * 0.068046","label":null,"prefix":null,"suffix":null,"section":"Others","hidden":false,"hero":false,"slider":null,"value":2.177472,"display":"2.1775"},{"text":"kilopascals = pascals / 1000","label":null,"prefix":null,"suffix":null,"section":"Others","hidden":false,"hero":false,"slider":null,"value":220.63232,"display":"220.6323"},{"text":"torr = pressure value * 51.7149","label":null,"prefix":null,"suffix":null,"section":"Others","hidden":false,"hero":false,"slider":null,"value":1654.8768,"display":"1,654.8768"}]},{"id":"prime-factorization","title":"Prime Factor Check","description":"Check small-prime divisibility of an integer to begin its prime factorization. For full factorization, divide iteratively.","category":"formulas","icon":"sigma","tags":["number-theory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.264Z"},"rows":[{"text":"# Integer to factor","label":null,"prefix":null,"suffix":null,"section":"Integer to factor","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 360 // 2..100k","label":null,"prefix":null,"suffix":null,"section":"Integer to factor","hidden":false,"hero":false,"slider":{"min":2,"max":100000,"step":1000},"value":360,"display":"360"},{"text":"# Test divisibility by small primes","label":null,"prefix":null,"suffix":null,"section":"Test divisibility by small primes","hero":false,"slider":null,"value":null,"display":null},{"text":"divisible_by_2 = (n mod 2 == 0) // @label(Divisible by 2?)","label":"Divisible by 2?","prefix":null,"suffix":null,"section":"Test divisibility by small primes","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"divisible_by_3 = (n mod 3 == 0) // @label(Divisible by 3?)","label":"Divisible by 3?","prefix":null,"suffix":null,"section":"Test divisibility by small primes","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"divisible_by_5 = (n mod 5 == 0) // @label(Divisible by 5?)","label":"Divisible by 5?","prefix":null,"suffix":null,"section":"Test divisibility by small primes","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"divisible_by_7 = (n mod 7 == 0) // @label(Divisible by 7?)","label":"Divisible by 7?","prefix":null,"suffix":null,"section":"Test divisibility by small primes","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"divisible_by_11 = (n mod 11 == 0) // @label(Divisible by 11?)","label":"Divisible by 11?","prefix":null,"suffix":null,"section":"Test divisibility by small primes","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"divisible_by_13 = (n mod 13 == 0) // @label(Divisible by 13?)","label":"Divisible by 13?","prefix":null,"suffix":null,"section":"Test divisibility by small primes","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"# Count of 2s in the factorization (max 20)","label":null,"prefix":null,"suffix":null,"section":"Count of 2s in the factorization (max 20)","hero":false,"slider":null,"value":null,"display":null},{"text":"power_of_2 = (n mod 2 == 0) + (n mod 4 == 0) + (n mod 8 == 0) + (n mod 16 == 0) + (n mod 32 == 0) + (n mod 64 == 0) + (n mod 128 == 0) + (n mod 256 == 0) + (n mod 512 == 0) + (n mod 1024 == 0) // @label(Power of 2 in n)","label":"Power of 2 in n","prefix":null,"suffix":null,"section":"Count of 2s in the factorization (max 20)","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"}]},{"id":"prime-rib-roast-time","title":"Prime Rib Roast Time","description":"Estimate prime rib roasting time from weight and target internal temperature.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.264Z"},"rows":[{"text":"roast_weight_pounds = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"desired_doneness_internal_temp = 130 // Rare: 125, Med-Rare: 135","label":null,"prefix":null,"suffix":"Rare: 125, Med-Rare: 135","section":null,"hidden":false,"hero":false,"slider":null,"value":130,"display":"130"},{"text":"oven_temperature_fahrenheit = 325","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":325,"display":"325"},{"text":"minutes_per_pound = 15 + (desired_doneness_internal_temp - 120) * 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero estimated_cooking_time_minutes = roast_weight_pounds * minutes_per_pound","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":160,"display":"160"}]},{"id":"print-bleed-margin-trim-size","title":"Print Bleed Margin Trim Size","description":"Calculate full print dimensions including bleed margins around a trim size.","category":"design","icon":"palette","tags":["print"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.264Z"},"rows":[{"text":"trim_width = 8.5 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":8.5,"display":"8.5"},{"text":"trim_height = 11 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":11,"display":"11"},{"text":"bleed_size = 0.125 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":0.125,"display":"0.125"},{"text":"@hero bleed_width = trim_width + (2 * bleed_size) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":8.75,"display":"8.75"},{"text":"@hero bleed_height = trim_height + (2 * bleed_size) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":11.25,"display":"11.25"}]},{"id":"procrastination-deadline-pressure","title":"Procrastination Deadline Pressure","description":"Calculate deadline pressure from task size and days remaining.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.264Z"},"rows":[{"text":"days_until_deadline = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"task_size_hours = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"pressure_index = task_size_hours / (days_until_deadline * 24)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.16666666666666666,"display":"0.1667"}]},{"id":"profit-margin","title":"Profit Margin","description":"Calculate gross margin, operating margin, and markup from revenue and costs.","category":"business","icon":"chart-line","tags":["profit"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.265Z"},"rows":[{"text":"# Sales Data","label":null,"prefix":null,"suffix":null,"section":"Sales Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$revenue = 50000 // 1k..1M","label":null,"prefix":"$","suffix":null,"section":"Sales Data","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000,"step":10000},"value":50000,"display":"$50,000.00"},{"text":"$cost of goods sold = 30000 // 0..800k","label":null,"prefix":"$","suffix":null,"section":"Sales Data","hidden":false,"hero":false,"slider":{"min":0,"max":800000,"step":10000},"value":30000,"display":"$30,000.00"},{"text":"$operating expenses = 12000 // 0..200k by 500","label":null,"prefix":"$","suffix":null,"section":"Sales Data","hidden":false,"hero":false,"slider":{"min":0,"max":200000,"step":500},"value":12000,"display":"$12,000.00"},{"text":"# Profit","label":null,"prefix":null,"suffix":null,"section":"Profit","hero":false,"slider":null,"value":null,"display":null},{"text":"$gross profit = revenue - cost of goods sold","label":null,"prefix":"$","suffix":null,"section":"Profit","hidden":false,"hero":false,"slider":null,"value":20000,"display":"$20,000.00"},{"text":"$operating profit = gross profit - operating expenses","label":null,"prefix":"$","suffix":null,"section":"Profit","hidden":false,"hero":false,"slider":null,"value":8000,"display":"$8,000.00"},{"text":"# Margins","label":null,"prefix":null,"suffix":null,"section":"Margins","hero":false,"slider":null,"value":null,"display":null},{"text":"gross margin = (gross profit / revenue) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Margins","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"},{"text":"operating margin = (operating profit / revenue) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Margins","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"markup on cost = (gross profit / cost of goods sold) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Margins","hidden":false,"hero":false,"slider":null,"value":66.66666666666666,"display":"66.6667"},{"text":"# Per Unit","label":null,"prefix":null,"suffix":null,"section":"Per Unit","hero":false,"slider":null,"value":null,"display":null},{"text":"units sold = 500 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Per Unit","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":500,"display":"500"},{"text":"$revenue per unit = revenue / units sold","label":null,"prefix":"$","suffix":null,"section":"Per Unit","hidden":false,"hero":false,"slider":null,"value":100,"display":"$100.00"},{"text":"$profit per unit = operating profit / units sold","label":null,"prefix":"$","suffix":null,"section":"Per Unit","hidden":false,"hero":false,"slider":null,"value":16,"display":"$16.00"}]},{"id":"project-buffer-time-contingency","title":"Project Buffer Time Contingency","description":"Calculate recommended buffer days for a project from uncertainty percentage.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.265Z"},"rows":[{"text":"estimated_project_duration_days = 30 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"uncertainty_percent = 20 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero recommended_buffer_days = estimated_project_duration_days * (uncertainty_percent / 100) // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":6,"display":"6"},{"text":"@hero total_buffered_duration = estimated_project_duration_days + recommended_buffer_days // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"project-deadline-probability-estimator","title":"Project Deadline Probability Estimator","description":"Estimate project duration using PERT three-point estimation.","category":"productivity","icon":"clock","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.266Z"},"rows":[{"text":"optimistic_days = 10 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"most_likely_days = 15 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"pessimistic_days = 30 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero expected_duration_pert = (optimistic_days + 4 * most_likely_days + pessimistic_days) / 6 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":16.666666666666668,"display":"16.6667"},{"text":"@hero standard_deviation = (pessimistic_days - optimistic_days) / 6 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"projectile-motion-air-resistance","title":"Projectile Motion Air Resistance","description":"Calculate terminal velocity for projectile motion with air resistance.","category":"education","icon":"book-open","tags":["motion","air"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.266Z"},"rows":[{"text":"velocity = 50 // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"angle_degrees = 45 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"mass = 1 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"drag_coefficient = 0.47","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.47,"display":"0.47"},{"text":"air_density = 1.225 // kg/m^3","label":null,"prefix":null,"suffix":"kg/m^3","section":null,"hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"area = 0.01 // m^2","label":null,"prefix":null,"suffix":"m^2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"_gravity = 9.81 // m/s^2","label":null,"prefix":null,"suffix":"m/s^2","section":null,"hidden":true,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"_v_x = velocity * cos(angle_degrees * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":49.99530249007753,"display":"49.9953"},{"text":"_v_y = velocity * sin(angle_degrees * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.6853677302353737,"display":"0.6854"},{"text":"@hero terminal_velocity = sqrt((2 * mass * gravity) / (air_density * area * drag_coefficient)) // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":true,"slider":null,"value":58.375757374670826,"display":"58.3758"}]},{"id":"projectile-motion","title":"Projectile Motion","description":"Calculate max height, range, and flight time for launched projectiles.","category":"science","icon":"target","tags":["motion","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.266Z"},"rows":[{"text":"# Launch Parameters","label":null,"prefix":null,"suffix":null,"section":"Launch Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"initial velocity = 50 // m/s 1..200","label":null,"prefix":null,"suffix":"m/s","section":"Launch Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":50,"display":"50"},{"text":"launch angle = 45 // ° 1..89","label":null,"prefix":null,"suffix":"°","section":"Launch Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":89,"step":1},"value":45,"display":"45"},{"text":"initial height = 0 // m 0..100","label":null,"prefix":null,"suffix":"m","section":"Launch Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":0,"display":"0"},{"text":"_g = 9.81 // m/s²","label":null,"prefix":null,"suffix":"m/s²","section":"Launch Parameters","hidden":true,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"_horizontal_velocity = initial velocity * cos(launch angle) // m/s","label":null,"prefix":null,"suffix":"m/s","section":"Launch Parameters","hidden":true,"hero":false,"slider":null,"value":35.35533905932738,"display":"35.3553"},{"text":"_vertical_velocity = initial velocity * sin(launch angle) // m/s","label":null,"prefix":null,"suffix":"m/s","section":"Launch Parameters","hidden":true,"hero":false,"slider":null,"value":35.35533905932737,"display":"35.3553"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"maximum height = round(initial height + (vertical_velocity^2) / (2 * g), 1) // m @hero","label":null,"prefix":null,"suffix":"m","section":"Results","hidden":false,"hero":true,"slider":null,"value":63.7,"display":"63.7"},{"text":"time of flight = round((vertical_velocity + sqrt(vertical_velocity^2 + 2 * g * initial height)) / g, 2) // s","label":null,"prefix":null,"suffix":"s","section":"Results","hidden":false,"hero":false,"slider":null,"value":7.21,"display":"7.21"},{"text":"horizontal range = round(horizontal_velocity * time of flight, 1) // m","label":null,"prefix":null,"suffix":"m","section":"Results","hidden":false,"hero":false,"slider":null,"value":254.9,"display":"254.9"},{"text":"impact speed = round(sqrt(horizontal_velocity^2 + (vertical_velocity - g * time of flight)^2), 1) // m/s","label":null,"prefix":null,"suffix":"m/s","section":"Results","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"}]},{"id":"property-tax-estimator","title":"Property Tax Estimator","description":"Estimate annual property tax from market value, assessment ratio, and mill rate.","category":"finance","icon":"dollar-sign","tags":["property","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.266Z"},"rows":[{"text":"# Property Value","label":null,"prefix":null,"suffix":null,"section":"Property Value","hero":false,"slider":null,"value":null,"display":null},{"text":"$fair market value = 450000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Property Value","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":450000,"display":"$450,000.00"},{"text":"assessment ratio = 80 // % 10..100","label":null,"prefix":null,"suffix":"%","section":"Property Value","hidden":false,"hero":false,"slider":{"min":10,"max":100,"step":1},"value":80,"display":"80"},{"text":"tax rate per 1000 = 12.5 // mills 1..50 by 0.1","label":null,"prefix":null,"suffix":"mills","section":"Property Value","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":0.1},"value":12.5,"display":"12.5"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_assessed_value = fair market value * (assessment ratio / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":360000,"display":"$360,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated annual property tax = (assessed_value / 1000) * tax rate per 1000 // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":4500,"display":"$4,500.00"},{"text":"$monthly property tax = estimated annual property tax / 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":375,"display":"$375.00"},{"text":"effective tax rate = (estimated annual property tax / fair market value) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"}]},{"id":"protein-intake","title":"Protein Intake","description":"Calculate daily protein needs based on weight and fitness goals.","category":"health","icon":"dumbbell","tags":["protein"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.266Z"},"rows":[{"text":"# Your Stats","label":null,"prefix":null,"suffix":null,"section":"Your Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight = 170 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Your Stats","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":170,"display":"170"},{"text":"goal factor = 0.8 // g/lb 0.5..1.2 by 0.1","label":null,"prefix":null,"suffix":"g/lb","section":"Your Stats","hidden":false,"hero":false,"slider":{"min":0.5,"max":1.2,"step":0.1},"value":0.8,"display":"0.8"},{"text":"# Daily Protein","label":null,"prefix":null,"suffix":null,"section":"Daily Protein","hero":false,"slider":null,"value":null,"display":null},{"text":"daily protein = round(body weight * goal factor) // g @hero","label":null,"prefix":null,"suffix":"g","section":"Daily Protein","hidden":false,"hero":true,"slider":null,"value":136,"display":"136"},{"text":"protein per 3 meals = round(daily protein / 3) // g @label(Per Meal (3 meals))","label":"Per Meal (3 meals)","prefix":null,"suffix":"g","section":"Daily Protein","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"protein per 4 meals = round(daily protein / 4) // g @label(Per Meal (4 meals))","label":"Per Meal (4 meals)","prefix":null,"suffix":"g","section":"Daily Protein","hidden":false,"hero":false,"slider":null,"value":34,"display":"34"},{"text":"# Calories From Protein","label":null,"prefix":null,"suffix":null,"section":"Calories From Protein","hero":false,"slider":null,"value":null,"display":null},{"text":"protein calories = daily protein * 4 // cal","label":null,"prefix":null,"suffix":"cal","section":"Calories From Protein","hidden":false,"hero":false,"slider":null,"value":544,"display":"544"}]},{"id":"purchasing-power-parity-index","title":"Purchasing Power Parity Index","description":"Calculate currency valuation difference using purchasing power parity.","category":"science","icon":"flask-conical","tags":["index","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.267Z"},"rows":[{"text":"price_index_country_a = 120","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"price_index_country_b = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"exchange_rate = 1.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.25,"display":"1.25"},{"text":"ppp_exchange_rate = price_index_country_a / price_index_country_b","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"valuation_difference = (exchange_rate / ppp_exchange_rate) - 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.0416666666666668,"display":"0.0417"}]},{"id":"put-away-productivity","title":"Put-away Productivity","description":"Calculate the rate at which received goods are put onto shelves.","category":"business","icon":"download","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.267Z"},"rows":[{"text":"totalUnitsPutAway = 5000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"totalLaborHours = 50 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"putAwayProductivity = totalUnitsPutAway / totalLaborHours","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"pyramid-volume","title":"Pyramid Volume","description":"Find the volume of a pyramid: V = (1/3) × base_area × height.","category":"formulas","icon":"triangle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.267Z"},"rows":[{"text":"# Pyramid (square base)","label":null,"prefix":null,"suffix":null,"section":"Pyramid (square base)","hero":false,"slider":null,"value":null,"display":null},{"text":"base_length = 8 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Pyramid (square base)","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":8,"display":"8"},{"text":"height = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Pyramid (square base)","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# Volume","label":null,"prefix":null,"suffix":null,"section":"Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"base_area = base_length^2","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":false,"slider":null,"value":64,"display":"64"},{"text":"volume = (1 / 3) * base_area * height","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":true,"slider":null,"value":213.33333333333331,"display":"213.3333"}]},{"id":"pythagorean-theorem","title":"Pythagorean Theorem","description":"Find the hypotenuse of a right triangle from its two legs: c² = a² + b².","category":"formulas","icon":"triangle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.267Z"},"rows":[{"text":"# Legs of right triangle","label":null,"prefix":null,"suffix":null,"section":"Legs of right triangle","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 3 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Legs of right triangle","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":3,"display":"3"},{"text":"b = 4 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Legs of right triangle","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":4,"display":"4"},{"text":"# Hypotenuse","label":null,"prefix":null,"suffix":null,"section":"Hypotenuse","hero":false,"slider":null,"value":null,"display":null},{"text":"c = sqrt(a^2 + b^2) // @label(Hypotenuse c)","label":"Hypotenuse c","prefix":null,"suffix":null,"section":"Hypotenuse","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"quadratic-formula","title":"Quadratic Formula","description":"Solve ax² + bx + c = 0 using the quadratic formula.","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.268Z"},"rows":[{"text":"# Coefficients","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 1 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":1,"display":"1"},{"text":"b = -5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":-5,"display":"-5"},{"text":"c = 6 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":6,"display":"6"},{"text":"# Discriminant","label":null,"prefix":null,"suffix":null,"section":"Discriminant","hero":false,"slider":null,"value":null,"display":null},{"text":"discriminant = b^2 - 4 * a * c // @label(Discriminant b²−4ac)","label":"Discriminant b²−4ac","prefix":null,"suffix":null,"section":"Discriminant","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Roots","label":null,"prefix":null,"suffix":null,"section":"Roots","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = (-b + sqrt(abs(discriminant))) / (2 * a) // @hero @label(x₁)","label":"x₁","prefix":null,"suffix":null,"section":"Roots","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"},{"text":"x2 = (-b - sqrt(abs(discriminant))) / (2 * a) // @hero @label(x₂)","label":"x₂","prefix":null,"suffix":null,"section":"Roots","hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"quadratic-solver","title":"Quadratic Solver","description":"Solve any quadratic equation ax² + bx + c = 0.","category":"science","icon":"function","tags":["equation","algebra","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.268Z"},"rows":[{"text":"# Coefficients (ax² + bx + c = 0)","label":null,"prefix":null,"suffix":null,"section":"Coefficients (ax² + bx + c = 0)","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 1 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients (ax² + bx + c = 0)","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":1,"display":"1"},{"text":"b = -5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients (ax² + bx + c = 0)","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":-5,"display":"-5"},{"text":"c = 6 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Coefficients (ax² + bx + c = 0)","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":6,"display":"6"},{"text":"# Discriminant","label":null,"prefix":null,"suffix":null,"section":"Discriminant","hero":false,"slider":null,"value":null,"display":null},{"text":"discriminant = b^2 - 4 * a * c // @label(Discriminant (b²-4ac))","label":"Discriminant (b²-4ac)","prefix":null,"suffix":null,"section":"Discriminant","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Solutions","label":null,"prefix":null,"suffix":null,"section":"Solutions","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = (-b + sqrt(abs(discriminant))) / (2 * a) // @hero @label(Solution x₁)","label":"Solution x₁","prefix":null,"suffix":null,"section":"Solutions","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"},{"text":"x2 = (-b - sqrt(abs(discriminant))) / (2 * a) // @label(Solution x₂)","label":"Solution x₂","prefix":null,"suffix":null,"section":"Solutions","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Verification","label":null,"prefix":null,"suffix":null,"section":"Verification","hero":false,"slider":null,"value":null,"display":null},{"text":"check x1 = a * x1^2 + b * x1 + c // @label(Verify: f(x₁) should = 0)","label":"Verify: f(x₁) should = 0","prefix":null,"suffix":null,"section":"Verification","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"check x2 = a * x2^2 + b * x2 + c // @label(Verify: f(x₂) should = 0)","label":"Verify: f(x₂) should = 0","prefix":null,"suffix":null,"section":"Verification","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Vertex","label":null,"prefix":null,"suffix":null,"section":"Vertex","hero":false,"slider":null,"value":null,"display":null},{"text":"vertex x = -b / (2 * a)","label":null,"prefix":null,"suffix":null,"section":"Vertex","hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"vertex y = a * vertex x^2 + b * vertex x + c // @label(Vertex y (minimum/maximum))","label":"Vertex y (minimum/maximum)","prefix":null,"suffix":null,"section":"Vertex","hidden":false,"hero":false,"slider":null,"value":-0.25,"display":"-0.25"}]},{"id":"quadratic-vertex-form","title":"Quadratic Vertex Form","description":"Evaluate a quadratic in vertex form a(x-h)² + k at a given x value.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.268Z"},"rows":[{"text":"# Vertex Parameters","label":null,"prefix":null,"suffix":null,"section":"Vertex Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"a coefficient = 1 // -10..10 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Vertex Parameters","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":0.1},"value":1,"display":"1"},{"text":"h vertex x = 0 // -50..50","label":null,"prefix":null,"suffix":null,"section":"Vertex Parameters","hidden":false,"hero":false,"slider":{"min":-50,"max":50,"step":1},"value":0,"display":"0"},{"text":"k vertex y = 0 // -50..50","label":null,"prefix":null,"suffix":null,"section":"Vertex Parameters","hidden":false,"hero":false,"slider":{"min":-50,"max":50,"step":1},"value":0,"display":"0"},{"text":"# Input","label":null,"prefix":null,"suffix":null,"section":"Input","hero":false,"slider":null,"value":null,"display":null},{"text":"x value = 5 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Input","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":5,"display":"5"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"y value = a coefficient * (x value - h vertex x)^2 + k vertex y","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":25,"display":"25"}]},{"id":"quality-control-error-rate-percent","title":"Quality Control Error Rate Percent","description":"Calculate quality control error rate and yield percentage from production data.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.268Z"},"rows":[{"text":"units_produced = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"defective_units = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"@hero error_rate_percent = (defective_units / units_produced) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.2,"display":"1.2"},{"text":"@hero yield_percent = 100 - error_rate_percent // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":98.8,"display":"98.8"}]},{"id":"quarter-mile-time-prediction","title":"Quarter Mile Time Prediction","description":"Estimate quarter mile time based on power and weight.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.269Z"},"rows":[{"text":"# Specs","label":null,"prefix":null,"suffix":null,"section":"Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"horsepower = 350","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"weight pounds = 3000","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"estimated time seconds = 5.825 * ((weight pounds / horsepower) ^ 0.333)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":11.912492734044125,"display":"11.9125"}]},{"id":"quick-ratio-acid-test","title":"Quick Ratio Acid Test","description":"Calculate the quick ratio (acid test) from liquid assets and current liabilities.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.269Z"},"rows":[{"text":"# Liquid Assets","label":null,"prefix":null,"suffix":null,"section":"Liquid Assets","hero":false,"slider":null,"value":null,"display":null},{"text":"$cash and equivalents = 50000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Liquid Assets","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":50000,"display":"$50,000.00"},{"text":"$marketable securities = 25000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Liquid Assets","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":25000,"display":"$25,000.00"},{"text":"$accounts receivable = 30000 // 0..1M","label":null,"prefix":"$","suffix":null,"section":"Liquid Assets","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":30000,"display":"$30,000.00"},{"text":"$current liabilities = 60000 // 1k..1M","label":null,"prefix":"$","suffix":null,"section":"Liquid Assets","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000,"step":10000},"value":60000,"display":"$60,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"quick ratio = (cash and equivalents + marketable securities + accounts receivable) / current liabilities // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1.75,"display":"1.75"},{"text":"$total quick assets = cash and equivalents + marketable securities + accounts receivable","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":105000,"display":"$105,000.00"},{"text":"liquidity status = if(quick ratio >= 1, \"Strong\", \"Potential liquidity risk\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Strong","display":"Strong"}]},{"id":"radiation-dose-background-equiv","title":"Radiation Dose Background Equiv","description":"Calculate how many days of background radiation a given dose equals.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.269Z"},"rows":[{"text":"dose_millisieverts = 0.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"@hero background_equivalent_days = dose_millisieverts / 0.0085","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11.764705882352942,"display":"11.7647"}]},{"id":"radiator-cooling-capacity","title":"Radiator Cooling Capacity","description":"Calculate estimated heat rejection needed.","category":"engineering","icon":"settings","tags":["automotive","cooling"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.270Z"},"rows":[{"text":"# Engine Settings","label":null,"prefix":null,"suffix":null,"section":"Engine Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"horsepower = 300","label":null,"prefix":null,"suffix":null,"section":"Engine Settings","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"efficiency factor = 0.3 // percentage of fuel energy to mechanical","label":null,"prefix":null,"suffix":"percentage of fuel energy to mechanical","section":"Engine Settings","hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"heat rejection horsepower = horsepower * (1 / efficiency factor - 1)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":700.0000000000001,"display":"700"}]},{"id":"radioactive-decay-carbon-dating","title":"Radioactive Decay Carbon Dating","description":"Estimate the age of organic material using carbon-14 dating.","category":"health","icon":"activity","tags":["radioactive","carbon","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.270Z"},"rows":[{"text":"# Dating Parameters","label":null,"prefix":null,"suffix":null,"section":"Dating Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"current carbon fourteen ratio = 0.5 // 0.0001..1","label":null,"prefix":null,"suffix":null,"section":"Dating Parameters","hidden":false,"hero":false,"slider":{"min":0.0001,"max":1,"step":0.01},"value":0.5,"display":"0.5"},{"text":"initial carbon fourteen ratio = 1.0 // usually 1.0 (100%)","label":null,"prefix":null,"suffix":"usually 1.0 (100%)","section":"Dating Parameters","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"half life carbon fourteen = 5730 // years","label":null,"prefix":null,"suffix":"years","section":"Dating Parameters","hidden":false,"hero":false,"slider":null,"value":5730,"display":"5,730"},{"text":"# Formula: t = [ ln(Nf/No) / (-0.693) ] * t_half","label":null,"prefix":null,"suffix":null,"section":"Formula: t = [ ln(Nf/No) / (-0.693) ] * t_half","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"estimated age = (ln(current carbon fourteen ratio / initial carbon fourteen ratio) / -0.693147) * half life carbon fourteen // years @hero","label":null,"prefix":null,"suffix":"years","section":"Result","hidden":false,"hero":true,"slider":null,"value":5730.001492624922,"display":"5,730.0015"},{"text":"# Details","label":null,"prefix":null,"suffix":null,"section":"Details","hero":false,"slider":null,"value":null,"display":null},{"text":"percent carbon remaining = current carbon fourteen ratio * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Details","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"decay constant = 0.693147 / half life carbon fourteen","label":null,"prefix":null,"suffix":null,"section":"Details","hidden":false,"hero":false,"slider":null,"value":0.00012096806282722514,"display":"0.000121"},{"text":"error margin = estimated age * 0.05 // rough 5% estimate","label":null,"prefix":null,"suffix":"rough 5% estimate","section":"Details","hidden":false,"hero":false,"slider":null,"value":286.5000746312461,"display":"286.5001"},{"text":"calendar year = 1950 - estimated age // approx relative to 1950 baseline","label":null,"prefix":null,"suffix":"approx relative to 1950 baseline","section":"Details","hidden":false,"hero":false,"slider":null,"value":-3780.001492624922,"display":"-3,780.0015"}]},{"id":"radioactive-decay-remaining-mass","title":"Radioactive Decay Remaining Mass","description":"Calculate remaining mass of a radioactive substance after time elapsed.","category":"education","icon":"book-open","tags":["radioactive","mass"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.270Z"},"rows":[{"text":"initial_mass = 100 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"half_life = 5730 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":5730,"display":"5,730"},{"text":"time_elapsed = 1000 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"_decay_constant = ln(2) / half_life","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.00012096809433855938,"display":"0.000121"},{"text":"@hero remaining_mass = initial_mass * exp(-decay_constant * time_elapsed) // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":true,"slider":null,"value":88.60622295433987,"display":"88.6062"}]},{"id":"radioactive-decay","title":"Radioactive Decay","description":"Model exponential decay with half-life calculations and timeline projections.","category":"science","icon":"atom","tags":["radioactive","half-life"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.270Z"},"rows":[{"text":"# Isotope Info","label":null,"prefix":null,"suffix":null,"section":"Isotope Info","hero":false,"slider":null,"value":null,"display":null},{"text":"half life = 5730 // years 1..100k","label":null,"prefix":null,"suffix":"years","section":"Isotope Info","hidden":false,"hero":false,"slider":{"min":1,"max":100000,"step":1000},"value":5730,"display":"5,730"},{"text":"initial amount = 100 // g 1..10k","label":null,"prefix":null,"suffix":"g","section":"Isotope Info","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":100,"display":"100"},{"text":"time elapsed = 10000 // years 0..200k","label":null,"prefix":null,"suffix":"years","section":"Isotope Info","hidden":false,"hero":false,"slider":{"min":0,"max":200000,"step":2000},"value":10000,"display":"10,000"},{"text":"# Decay Calculation","label":null,"prefix":null,"suffix":null,"section":"Decay Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"decay constant = ln(2) / half life","label":null,"prefix":null,"suffix":null,"section":"Decay Calculation","hidden":false,"hero":false,"slider":null,"value":0.00012096809433855938,"display":"0.000121"},{"text":"amount remaining = initial amount * E^(-decay constant * time elapsed) // g @hero","label":null,"prefix":null,"suffix":"g","section":"Decay Calculation","hidden":false,"hero":true,"slider":null,"value":29.829243642371445,"display":"29.8292"},{"text":"amount decayed = initial amount - amount remaining // g","label":null,"prefix":null,"suffix":"g","section":"Decay Calculation","hidden":false,"hero":false,"slider":null,"value":70.17075635762856,"display":"70.1708"},{"text":"percentage remaining = (amount remaining / initial amount) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Decay Calculation","hidden":false,"hero":false,"slider":null,"value":29.829243642371445,"display":"29.8292"},{"text":"# Timeline","label":null,"prefix":null,"suffix":null,"section":"Timeline","hero":false,"slider":null,"value":null,"display":null},{"text":"number of half lives = time elapsed / half life","label":null,"prefix":null,"suffix":null,"section":"Timeline","hidden":false,"hero":false,"slider":null,"value":1.7452006980802792,"display":"1.7452"},{"text":"time until 1 pct remains = -ln(0.01) / decay constant // years","label":null,"prefix":null,"suffix":"years","section":"Timeline","hidden":false,"hero":false,"slider":null,"value":38069.29596740917,"display":"38,069.296"}]},{"id":"raid-rebuild-time-estimator","title":"Raid Rebuild Time Estimator","description":"Estimate RAID array rebuild time in hours from drive size and speed.","category":"productivity","icon":"clock","tags":["raid","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.270Z"},"rows":[{"text":"drive_size_terabytes = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"rebuild_speed_megabytes_per_second = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"total_megabytes = drive_size_terabytes * 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8000000,"display":"8,000,000"},{"text":"@hero rebuild_time_hours = total_megabytes / (rebuild_speed_megabytes_per_second * 3600)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":22.22222222222222,"display":"22.2222"}]},{"id":"rain-drop-count-on-roof","title":"Rain Drop Count On Roof","description":"Estimate the number of raindrops falling on a roof during rainfall.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.271Z"},"rows":[{"text":"roof_area_m2 = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"rainfall_mm = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"drop_volume_ml = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"total_water_ml = roof_area_m2 * rainfall_mm * 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"number_of_drops = total_water_ml / drop_volume_ml","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20000000,"display":"20,000,000"}]},{"id":"rainfall-harvesting-volume","title":"Rainfall Harvesting Volume","description":"Calculate harvested rainwater in gallons from roof area and rainfall.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.271Z"},"rows":[{"text":"roof_area_square_feet = 2000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"rainfall_inches = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"runoff_coefficient = 0.9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.9,"display":"0.9"},{"text":"@hero harvest_gallons = roof_area_square_feet * (rainfall_inches / 12) * 7.48 * runoff_coefficient","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1122,"display":"1,122"}]},{"id":"rainwater-collection-savings","title":"Rainwater Collection Savings","description":"Estimate annual water and cost savings from rainwater harvesting.","category":"finance","icon":"cloud-rain","tags":["eco","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.271Z"},"rows":[{"text":"roof_area_square_meters = 100 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"annual_rainfall_mm = 800 // millimeters","label":null,"prefix":null,"suffix":"millimeters","section":null,"hidden":false,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"collection_efficiency = 80 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"total_liters_collected = roof_area_square_meters * annual_rainfall_mm * (collection_efficiency / 100) // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":64000,"display":"64,000"},{"text":"cost_of_water_per_liter = 0.002 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":0.002,"display":"0.002"},{"text":"@hero annual_water_savings_dollars = total_liters_collected * cost_of_water_per_liter // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":128,"display":"128"}]},{"id":"range","title":"Range","description":"Compute the range of a dataset: max − min.","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.271Z"},"rows":[{"text":"# Data points","label":null,"prefix":null,"suffix":null,"section":"Data points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 7 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":7,"display":"7"},{"text":"x2 = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"x3 = 9 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":9,"display":"9"},{"text":"x4 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"x5 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# Range","label":null,"prefix":null,"suffix":null,"section":"Range","hero":false,"slider":null,"value":null,"display":null},{"text":"max_val = max(x1, x2, x3, x4, x5) // @label(Max)","label":"Max","prefix":null,"suffix":null,"section":"Range","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"min_val = min(x1, x2, x3, x4, x5) // @label(Min)","label":"Min","prefix":null,"suffix":null,"section":"Range","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"range = max_val - min_val","label":null,"prefix":null,"suffix":null,"section":"Range","hidden":false,"hero":true,"slider":null,"value":8,"display":"8"}]},{"id":"reaction-time-analysis","title":"Reaction Time Analysis","description":"Calculate average reaction time in milliseconds across three trials.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.271Z"},"rows":[{"text":"trial_1_ms = 250","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"trial_2_ms = 230","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":230,"display":"230"},{"text":"trial_3_ms = 270","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":270,"display":"270"},{"text":"average_reaction_time = (trial_1_ms + trial_2_ms + trial_3_ms) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":250,"display":"250"}]},{"id":"reading-time-estimator-page-count","title":"Reading Time Estimator Page Count","description":"Estimate reading time in minutes and hours from page count and reading speed.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.272Z"},"rows":[{"text":"page_count = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"words_per_page = 250","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"reading_speed_wpm = 200 // words per minute","label":null,"prefix":null,"suffix":"words per minute","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"_total_words = page_count * words_per_page","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":75000,"display":"75,000"},{"text":"@hero total_reading_time_minutes = total_words / reading_speed_wpm // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":375,"display":"375"},{"text":"@hero total_reading_time_hours = total_reading_time_minutes / 60 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":true,"slider":null,"value":6.25,"display":"6.25"}]},{"id":"real-estate-cap-rate","title":"Real Estate Cap Rate","description":"Calculate real estate capitalization rate from rental income and operating expenses.","category":"other","icon":"calculator","tags":["estate","cap"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.272Z"},"rows":[{"text":"# Property Performance","label":null,"prefix":null,"suffix":null,"section":"Property Performance","hero":false,"slider":null,"value":null,"display":null},{"text":"$purchase price = 450000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Property Performance","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":450000,"display":"$450,000.00"},{"text":"$monthly rental income = 3500 // 500..20k by 100","label":null,"prefix":"$","suffix":null,"section":"Property Performance","hidden":false,"hero":false,"slider":{"min":500,"max":20000,"step":100},"value":3500,"display":"$3,500.00"},{"text":"vacancy rate = 5 // % 0..20","label":null,"prefix":null,"suffix":"%","section":"Property Performance","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":5,"display":"5"},{"text":"$annual operating expenses = 12000 // 0..50k","label":null,"prefix":"$","suffix":null,"section":"Property Performance","hidden":false,"hero":false,"slider":{"min":0,"max":50000,"step":500},"value":12000,"display":"$12,000.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_gross_annual_income = monthly rental income * 12","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":42000,"display":"$42,000.00"},{"text":"$_effective_gross_income = gross_annual_income * (1 - vacancy rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":39900,"display":"$39,900.00"},{"text":"$_net_operating_income = effective_gross_income - annual operating expenses","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":27900,"display":"$27,900.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"capitalization rate = (net_operating_income / purchase price) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":6.2,"display":"6.2"},{"text":"$monthly net_operating_income = net_operating_income / 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":2325,"display":"$2,325.00"},{"text":"estimated property value at 6 percent cap = net_operating_income / 0.06","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":465000,"display":"465,000"}]},{"id":"real-estate-commission-split","title":"Real Estate Commission Split","description":"Calculate the breakdown between broker and agent commissions.","category":"real-estate","icon":"handshake","tags":["estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.272Z"},"rows":[{"text":"totalCommission = 18000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":18000,"display":"18,000"},{"text":"brokerSplitPercentage = 30 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"brokerShare = totalCommission * (brokerSplitPercentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5400,"display":"5,400"},{"text":"agentShare = totalCommission - brokerShare","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12600,"display":"12,600"}]},{"id":"real-estate-tax-assessment","title":"Real Estate Tax Assessment","description":"Calculate annual property taxes using assessed value and millage.","category":"real-estate","icon":"file-text","tags":["estate","tax"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.273Z"},"rows":[{"text":"marketValue = 400000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":400000,"display":"400,000"},{"text":"assessmentRatio = 80 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"millageRate = 15 // mills","label":null,"prefix":null,"suffix":"mills","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"_assessedValue = marketValue * (assessmentRatio / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":320000,"display":"320,000"},{"text":"annualPropertyTax = (assessedValue / 1000) * millageRate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4800,"display":"4,800"}]},{"id":"real-interest-rate-fisher-eq","title":"Real Interest Rate Fisher Eq","description":"Calculate real interest rate from nominal rate and inflation using the Fisher equation.","category":"finance","icon":"dollar-sign","tags":["interest","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.273Z"},"rows":[{"text":"nominal_rate = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"inflation_rate = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"real_rate = (1 + nominal_rate) / (1 + inflation_rate) - 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.0194174757281554,"display":"0.0194"}]},{"id":"recipe-scaler","title":"Recipe Scaler","description":"Scale any recipe up or down with automatic metric conversions.","category":"cooking","icon":"scale","tags":["recipe"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.273Z"},"rows":[{"text":"# Original Recipe","label":null,"prefix":null,"suffix":null,"section":"Original Recipe","hero":false,"slider":null,"value":null,"display":null},{"text":"original servings = 4 // 1..24","label":null,"prefix":null,"suffix":null,"section":"Original Recipe","hidden":false,"hero":false,"slider":{"min":1,"max":24,"step":1},"value":4,"display":"4"},{"text":"desired servings = 10 // 1..100","label":null,"prefix":null,"suffix":null,"section":"Original Recipe","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"10"},{"text":"# Scale Factor","label":null,"prefix":null,"suffix":null,"section":"Scale Factor","hero":false,"slider":null,"value":null,"display":null},{"text":"multiply everything by = desired servings / original servings // @hero","label":null,"prefix":null,"suffix":null,"section":"Scale Factor","hidden":false,"hero":true,"slider":null,"value":2.5,"display":"2.5"},{"text":"# Ingredients","label":null,"prefix":null,"suffix":null,"section":"Ingredients","hero":false,"slider":null,"value":null,"display":null},{"text":"flour = 2 * multiply everything by // cups","label":null,"prefix":null,"suffix":"cups","section":"Ingredients","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"sugar = 1 * multiply everything by // cups","label":null,"prefix":null,"suffix":"cups","section":"Ingredients","hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"butter = 0.5 * multiply everything by // cups","label":null,"prefix":null,"suffix":"cups","section":"Ingredients","hidden":false,"hero":false,"slider":null,"value":1.25,"display":"1.25"},{"text":"eggs = 2 * multiply everything by","label":null,"prefix":null,"suffix":null,"section":"Ingredients","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"milk = 1.5 * multiply everything by // cups","label":null,"prefix":null,"suffix":"cups","section":"Ingredients","hidden":false,"hero":false,"slider":null,"value":3.75,"display":"3.75"},{"text":"# Metric Equivalents","label":null,"prefix":null,"suffix":null,"section":"Metric Equivalents","hero":false,"slider":null,"value":null,"display":null},{"text":"flour grams = flour * 120 // g","label":null,"prefix":null,"suffix":"g","section":"Metric Equivalents","hidden":false,"hero":false,"slider":null,"value":600,"display":"600"},{"text":"sugar grams = sugar * 200 // g","label":null,"prefix":null,"suffix":"g","section":"Metric Equivalents","hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"butter grams = butter * 227 // g","label":null,"prefix":null,"suffix":"g","section":"Metric Equivalents","hidden":false,"hero":false,"slider":null,"value":283.75,"display":"283.75"},{"text":"milk ml = milk * 237 // mL","label":null,"prefix":null,"suffix":"mL","section":"Metric Equivalents","hidden":false,"hero":false,"slider":null,"value":888.75,"display":"888.75"}]},{"id":"rectangle-area","title":"Rectangle Area","description":"Find the area of a rectangle: A = length × width.","category":"formulas","icon":"square","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.273Z"},"rows":[{"text":"# Dimensions","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"width = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = length * width","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":60,"display":"60"}]},{"id":"rectangle-perimeter","title":"Rectangle Perimeter","description":"Find the perimeter of a rectangle: P = 2 × (length + width).","category":"formulas","icon":"square","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.274Z"},"rows":[{"text":"# Dimensions","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"width = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"# Perimeter","label":null,"prefix":null,"suffix":null,"section":"Perimeter","hero":false,"slider":null,"value":null,"display":null},{"text":"perimeter = 2 * (length + width)","label":null,"prefix":null,"suffix":null,"section":"Perimeter","hidden":false,"hero":true,"slider":null,"value":32,"display":"32"}]},{"id":"rectangular-prism-volume","title":"Rectangular Prism Volume","description":"Find the volume and surface area of a rectangular prism (box).","category":"formulas","icon":"box","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.274Z"},"rows":[{"text":"# Dimensions","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"width = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"height = 4 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":4,"display":"4"},{"text":"# Volume and surface area","label":null,"prefix":null,"suffix":null,"section":"Volume and surface area","hero":false,"slider":null,"value":null,"display":null},{"text":"volume = length * width * height // @hero","label":null,"prefix":null,"suffix":null,"section":"Volume and surface area","hidden":false,"hero":true,"slider":null,"value":240,"display":"240"},{"text":"surface_area = 2 * (length * width + width * height + length * height)","label":null,"prefix":null,"suffix":null,"section":"Volume and surface area","hidden":false,"hero":false,"slider":null,"value":248,"display":"248"}]},{"id":"regular-polygon-area","title":"Regular Polygon Area","description":"Find the area of a regular n-sided polygon from its side length.","category":"formulas","icon":"hexagon","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.274Z"},"rows":[{"text":"# Polygon","label":null,"prefix":null,"suffix":null,"section":"Polygon","hero":false,"slider":null,"value":null,"display":null},{"text":"sides = 6 // 3..20","label":null,"prefix":null,"suffix":null,"section":"Polygon","hidden":false,"hero":false,"slider":{"min":3,"max":20,"step":0.2},"value":6,"display":"6"},{"text":"side_length = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Polygon","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Area (use radians for tan)","label":null,"prefix":null,"suffix":null,"section":"Area (use radians for tan)","hero":false,"slider":null,"value":null,"display":null},{"text":"_interior_half_angle_deg = 180 / sides","label":null,"prefix":null,"suffix":null,"section":"Area (use radians for tan)","hidden":true,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"area = (sides * side_length^2) / (4 * tan(interior_half_angle_deg deg)) // @hero","label":null,"prefix":null,"suffix":null,"section":"Area (use radians for tan)","hidden":false,"hero":true,"slider":null,"value":64.9519052838329,"display":"64.9519"},{"text":"perimeter = sides * side_length","label":null,"prefix":null,"suffix":null,"section":"Area (use radians for tan)","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"}]},{"id":"regulatory-change-impact-score","title":"Regulatory Change Impact","description":"Assess how new regulations will affect your operations.","category":"other","icon":"refresh-cw","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.275Z"},"rows":[{"text":"operationalChangeScore = 7 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"financialCostScore = 5 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"timeToImplementScore = 8 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"overallImpactScore = (operationalChangeScore + financialCostScore + timeToImplementScore) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6.666666666666667,"display":"6.6667"}]},{"id":"reit-dividend-yield","title":"REIT Dividend Yield","description":"Calculate the annual dividend yield for REIT share investments.","category":"real-estate","icon":"pie-chart","tags":["dividend"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.275Z"},"rows":[{"text":"annualDividend = 4.50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"sharePrice = 100 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"dividendYield = (annualDividend / sharePrice) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.5,"display":"4.5"}]},{"id":"relative-worth-historic-currency","title":"Relative Worth Historic Currency","description":"Adjust a historic currency amount to today's purchasing power using CPI ratios.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.275Z"},"rows":[{"text":"historic_amount = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"historic_year_cpi = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"current_cpi = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"current_worth = historic_amount * (current_cpi / historic_year_cpi)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2000,"display":"2,000"}]},{"id":"relativistic-length-contraction","title":"Relativistic Length Contraction","description":"Calculate length contraction of an object moving near the speed of light.","category":"other","icon":"calculator","tags":["relativistic"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.275Z"},"rows":[{"text":"proper_length_meters = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"relative_velocity_meters_per_second = 250000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250000000,"display":"250,000,000"},{"text":"speed_of_light = 299792458","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"lorentz_factor_reciprocal = (1 - (relative_velocity_meters_per_second ** 2 / speed_of_light ** 2)) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5519000950955603,"display":"0.5519"},{"text":"contracted_length_meters = proper_length_meters * lorentz_factor_reciprocal","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":55.190009509556035,"display":"55.19"}]},{"id":"relativistic-mass-increase","title":"Relativistic Mass Increase","description":"Calculate the relativistic mass of an object moving near the speed of light.","category":"science","icon":"flask-conical","tags":["relativistic","mass","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.276Z"},"rows":[{"text":"rest_mass_kilograms = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"relative_velocity_meters_per_second = 250000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250000000,"display":"250,000,000"},{"text":"speed_of_light = 299792458","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"relativistic_mass_kilograms = rest_mass_kilograms / (1 - (relative_velocity_meters_per_second ** 2 / speed_of_light ** 2)) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.8119221375144938,"display":"1.8119"}]},{"id":"relativistic-time-dilation","title":"Relativistic Time Dilation","description":"Calculate time dilation experienced at relativistic velocities.","category":"productivity","icon":"clock","tags":["relativistic","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.276Z"},"rows":[{"text":"proper_time_interval_seconds = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"relative_velocity_meters_per_second = 250000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250000000,"display":"250,000,000"},{"text":"speed_of_light = 299792458","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"lorentz_factor = 1 / (1 - (relative_velocity_meters_per_second ** 2 / speed_of_light ** 2)) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.8119221375144938,"display":"1.8119"},{"text":"dilated_time_interval_seconds = proper_time_interval_seconds * lorentz_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.811922137514494,"display":"1.8119"}]},{"id":"rem-to-pixel-font-scaler","title":"Rem To Pixel Font Scaler","description":"Convert a CSS rem value to pixels using the root font size.","category":"design","icon":"palette","tags":["pixel","font"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.276Z"},"rows":[{"text":"rem_value = 1.2 // rem","label":null,"prefix":null,"suffix":"rem","section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"root_pixel_size = 16 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"@hero calculated_pixel_size = rem_value * root_pixel_size // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":19.2,"display":"19.2"}]},{"id":"rent-affordability","title":"Rent Affordability","description":"Find your affordable rent using the 30% rule, 25% rule, and NYC 40x rule.","category":"everyday","icon":"building-2","tags":["rent","housing","budget","income"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.276Z"},"rows":[{"text":"# Income","label":null,"prefix":null,"suffix":null,"section":"Income","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly take home pay = 5000 // 1k..30k by 100","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":{"min":1000,"max":30000,"step":100},"value":5000,"display":"$5,000.00"},{"text":"$other monthly income = 0 // 0..10k by 50","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":50},"value":0,"display":"$0.00"},{"text":"$total monthly income = monthly take home pay + other monthly income","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":null,"value":5000,"display":"$5,000.00"},{"text":"# Affordability Rules","label":null,"prefix":null,"suffix":null,"section":"Affordability Rules","hero":false,"slider":null,"value":null,"display":null},{"text":"$max rent 30 pct rule = total monthly income * 0.30 // @hero @label(Max Rent (30% Rule))","label":"Max Rent (30% Rule)","prefix":"$","suffix":null,"section":"Affordability Rules","hidden":false,"hero":true,"slider":null,"value":1500,"display":"$1,500.00"},{"text":"$conservative 25 pct rule = total monthly income * 0.25 // @label(Conservative (25% Rule))","label":"Conservative (25% Rule)","prefix":"$","suffix":null,"section":"Affordability Rules","hidden":false,"hero":false,"slider":null,"value":1250,"display":"$1,250.00"},{"text":"$nyc standard 40x rule = total monthly income * 12 / 40 // @label(NYC Standard (40x Rule))","label":"NYC Standard (40x Rule)","prefix":null,"suffix":null,"section":"Affordability Rules","hidden":false,"hero":false,"slider":null,"value":null,"display":null},{"text":"# With Expenses","label":null,"prefix":null,"suffix":null,"section":"With Expenses","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly debt payments = 300 // 0..5k by 25","label":null,"prefix":"$","suffix":null,"section":"With Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":25},"value":300,"display":"$300.00"},{"text":"$after debts = total monthly income - monthly debt payments","label":null,"prefix":"$","suffix":null,"section":"With Expenses","hidden":false,"hero":false,"slider":null,"value":4700,"display":"$4,700.00"},{"text":"$affordable rent after debts = after debts * 0.30 // @label(Affordable Rent (30% After Debts))","label":"Affordable Rent (30% After Debts)","prefix":"$","suffix":null,"section":"With Expenses","hidden":false,"hero":false,"slider":null,"value":1410,"display":"$1,410.00"},{"text":"# Annual Impact","label":null,"prefix":null,"suffix":null,"section":"Annual Impact","hero":false,"slider":null,"value":null,"display":null},{"text":"$rent you are considering = 1500 // 300..10k by 50","label":null,"prefix":"$","suffix":null,"section":"Annual Impact","hidden":false,"hero":false,"slider":{"min":300,"max":10000,"step":50},"value":1500,"display":"$1,500.00"},{"text":"rent as pct of income = (rent you are considering / total monthly income) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Annual Impact","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"$remaining after rent and debts = total monthly income - rent you are considering - monthly debt payments","label":null,"prefix":"$","suffix":null,"section":"Annual Impact","hidden":false,"hero":false,"slider":null,"value":3200,"display":"$3,200.00"}]},{"id":"rent-to-value-ratio","title":"Rent-to-Value Ratio","description":"Determine the relationship between monthly rent and property price.","category":"real-estate","icon":"percent","tags":["rent"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.277Z"},"rows":[{"text":"monthlyRent = 1500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"propertyValue = 200000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"rentToValueRatio = (monthlyRent / propertyValue) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.75,"display":"0.75"}]},{"id":"rent-vs-buy","title":"Rent vs Buy","description":"Compare the monthly cost of renting versus buying a home.","category":"finance","icon":"home","tags":["rent","housing"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.277Z"},"rows":[{"text":"# Renting","label":null,"prefix":null,"suffix":null,"section":"Renting","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly rent = 2000 // 500..5k by 100","label":null,"prefix":"$","suffix":null,"section":"Renting","hidden":false,"hero":false,"slider":{"min":500,"max":5000,"step":100},"value":2000,"display":"$2,000.00"},{"text":"annual rent increase = 3 // % 0..10 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Renting","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.5},"value":3,"display":"3"},{"text":"# Buying","label":null,"prefix":null,"suffix":null,"section":"Buying","hero":false,"slider":null,"value":null,"display":null},{"text":"$home price = 400000 // 50k..2M by 10k","label":null,"prefix":"$","suffix":null,"section":"Buying","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":10000},"value":400000,"display":"$400,000.00"},{"text":"down payment pct = 20 // % 0..50 by 5","label":null,"prefix":null,"suffix":"%","section":"Buying","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":5},"value":20,"display":"20"},{"text":"mortgage rate = 6.5 // % 2..10","label":null,"prefix":null,"suffix":"%","section":"Buying","hidden":false,"hero":false,"slider":{"min":2,"max":10,"step":0.1},"value":6.5,"display":"6.5"},{"text":"loan term = 30 // years","label":null,"prefix":null,"suffix":"years","section":"Buying","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# Monthly Costs","label":null,"prefix":null,"suffix":null,"section":"Monthly Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$down payment = home price * down payment pct / 100","label":null,"prefix":"$","suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":null,"value":80000,"display":"$80,000.00"},{"text":"loan amount = home price - down payment","label":null,"prefix":null,"suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":null,"value":320000,"display":"320,000"},{"text":"monthly rate = mortgage rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":null,"value":0.005416666666666667,"display":"0.005417"},{"text":"num payments = loan term * 12","label":null,"prefix":null,"suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"$mortgage payment = loan amount * (monthly rate * (1 + monthly rate)^num payments) / ((1 + monthly rate)^num payments - 1)","label":null,"prefix":"$","suffix":null,"section":"Monthly Costs","hidden":false,"hero":false,"slider":null,"value":2022.6176751774892,"display":"$2,022.62"},{"text":"$monthly ownership = mortgage payment + home price * 0.01 / 12 + 150 // @label(Monthly Buy Cost (mortgage + tax + insurance)) @hero","label":"Monthly Buy Cost (mortgage + tax + insurance)","prefix":"$","suffix":null,"section":"Monthly Costs","hidden":false,"hero":true,"slider":null,"value":2505.9510085108222,"display":"$2,505.95"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly difference = monthly ownership - monthly rent // @label(Buy vs Rent Difference)","label":"Buy vs Rent Difference","prefix":"$","suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":505.9510085108224,"display":"$505.95"}]},{"id":"rental-listing-roi","title":"Rental Listing ROI","description":"Measure the return on investment for paid rental advertisements.","category":"real-estate","icon":"activity","tags":["rental","roi"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.277Z"},"rows":[{"text":"listingFee = 50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"monthlyRentGain = 1500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"daysVacantSaved = 10 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"totalBenefit = (monthlyRentGain / 30) * daysVacantSaved","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"listingROI = ((totalBenefit - listingFee) / listingFee) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":900,"display":"900"}]},{"id":"rental-property-depreciation-schedule","title":"Rental Property Depreciation Schedule","description":"Calculate annual depreciation on a residential rental property over 27.5 years.","category":"other","icon":"calculator","tags":["rental","property","depreciation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.277Z"},"rows":[{"text":"property_value = 300000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300000,"display":"300,000"},{"text":"land_value = 50000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"recovery_period_years = 27.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":27.5,"display":"27.5"},{"text":"building_value = property_value - land_value","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250000,"display":"250,000"},{"text":"annual_depreciation = building_value / recovery_period_years","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9090.90909090909,"display":"9,090.9091"}]},{"id":"rental-property-macrs-depreciation","title":"Rental Property MACRS Depreciation","description":"Estimate annual tax depreciation for residential rental property.","category":"real-estate","icon":"trending-down","tags":["rental","property","depreciation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.277Z"},"rows":[{"text":"propertyValueLessLand = 250000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":250000,"display":"250,000"},{"text":"recoveryPeriodYears = 27.5 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":27.5,"display":"27.5"},{"text":"annualDepreciation = propertyValueLessLand / recoveryPeriodYears","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9090.90909090909,"display":"9,090.9091"}]},{"id":"rental-yield","title":"Rental Yield","description":"Calculate annual yield and cash flow on a rental property.","category":"real-estate","icon":"building","tags":["rental","property","investment"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.278Z"},"rows":[{"text":"# Property Details","label":null,"prefix":null,"suffix":null,"section":"Property Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$purchase price = 250000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Property Details","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":250000,"display":"$250,000.00"},{"text":"$monthly rent = 1800 // 200..10k by 50","label":null,"prefix":"$","suffix":null,"section":"Property Details","hidden":false,"hero":false,"slider":{"min":200,"max":10000,"step":50},"value":1800,"display":"$1,800.00"},{"text":"# Expenses","label":null,"prefix":null,"suffix":null,"section":"Expenses","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly expenses = 400 // 0..3k by 25 @label(Monthly Expenses (maintenance, insurance, tax))","label":"Monthly Expenses (maintenance, insurance, tax)","prefix":"$","suffix":null,"section":"Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":3000,"step":25},"value":400,"display":"$400.00"},{"text":"vacancy rate = 8 // % 0..30","label":null,"prefix":null,"suffix":"%","section":"Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":8,"display":"8"},{"text":"# Annual Income","label":null,"prefix":null,"suffix":null,"section":"Annual Income","hero":false,"slider":null,"value":null,"display":null},{"text":"$gross annual rent = monthly rent * 12","label":null,"prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":21600,"display":"$21,600.00"},{"text":"$effective rent = gross annual rent * (1 - vacancy rate / 100) // @label(Effective Rent (after vacancy))","label":"Effective Rent (after vacancy)","prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":19872,"display":"$19,872.00"},{"text":"$annual expenses = monthly expenses * 12","label":null,"prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":4800,"display":"$4,800.00"},{"text":"$net operating income = effective rent - annual expenses","label":null,"prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":15072,"display":"$15,072.00"},{"text":"# Returns","label":null,"prefix":null,"suffix":null,"section":"Returns","hero":false,"slider":null,"value":null,"display":null},{"text":"annual yield = round(net operating income / purchase price * 100 * 100) / 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Returns","hidden":false,"hero":true,"slider":null,"value":6.03,"display":"6.03"},{"text":"$monthly cash flow = round(net operating income / 12 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Returns","hidden":false,"hero":false,"slider":null,"value":1256,"display":"$1,256.00"}]},{"id":"reorder-point","title":"Reorder Point","description":"Determine the inventory level at which a new order should be placed.","category":"business","icon":"alert-circle","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.278Z"},"rows":[{"text":"leadTimeInDays = 10 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"averageDailyUsage = 50 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"safetyStockLevel = 200 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"reorderPointValue = (leadTimeInDays * averageDailyUsage) + safetyStockLevel","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":700,"display":"700"}]},{"id":"resilience-quotient","title":"Resilience Quotient","description":"Calculate a resilience score from problem solving, social support, and self-efficacy.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.279Z"},"rows":[{"text":"problem_solving_score = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"social_support_score = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"self_efficacy_score = 9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"resilience_index = (problem_solving_score + social_support_score + self_efficacy_score) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8,"display":"8"}]},{"id":"resonance-frequency-lc","title":"Resonance Frequency Lc","description":"Calculate the resonance frequency of an LC circuit from inductance and capacitance.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.279Z"},"rows":[{"text":"inductance_henries = 0.001","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.001,"display":"0.001"},{"text":"capacitance_farads = 0.000001","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.000001,"display":"0.000001"},{"text":"resonance_frequency_hertz = 1 / (2 * 3.14159 * (inductance_henries * capacitance_farads) ** 0.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5032.925461578976,"display":"5,032.9255"}]},{"id":"respiration","title":"Respiration","description":"Daily, yearly, and lifetime breath counts with awake and sleep rates.","category":"health","icon":"wind","tags":["biology","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.280Z"},"rows":[{"text":"# Your Day","label":null,"prefix":null,"suffix":null,"section":"Your Day","hero":false,"slider":null,"value":null,"display":null},{"text":"awake hours = 16 // hr 0..24","label":null,"prefix":null,"suffix":"hr","section":"Your Day","hidden":false,"hero":false,"slider":{"min":0,"max":24,"step":1},"value":16,"display":"16"},{"text":"sleep hours = 8 // hr 0..16 by 0.5","label":null,"prefix":null,"suffix":"hr","section":"Your Day","hidden":false,"hero":false,"slider":{"min":0,"max":16,"step":0.5},"value":8,"display":"8"},{"text":"# Breathing Rates","label":null,"prefix":null,"suffix":null,"section":"Breathing Rates","hero":false,"slider":null,"value":null,"display":null},{"text":"awake rate = 17 // breaths/min 6..40","label":null,"prefix":null,"suffix":"breaths/min","section":"Breathing Rates","hidden":false,"hero":false,"slider":{"min":6,"max":40,"step":1},"value":17,"display":"17"},{"text":"sleep rate = 12 // breaths/min 4..30","label":null,"prefix":null,"suffix":"breaths/min","section":"Breathing Rates","hidden":false,"hero":false,"slider":{"min":4,"max":30,"step":1},"value":12,"display":"12"},{"text":"# Daily Breaths","label":null,"prefix":null,"suffix":null,"section":"Daily Breaths","hero":false,"slider":null,"value":null,"display":null},{"text":"awake breaths = awake hours * 60 * awake rate","label":null,"prefix":null,"suffix":null,"section":"Daily Breaths","hidden":false,"hero":false,"slider":null,"value":16320,"display":"16,320"},{"text":"sleep breaths = sleep hours * 60 * sleep rate","label":null,"prefix":null,"suffix":null,"section":"Daily Breaths","hidden":false,"hero":false,"slider":null,"value":5760,"display":"5,760"},{"text":"total daily breaths = awake breaths + sleep breaths // @hero @label(Breaths per day)","label":"Breaths per day","prefix":null,"suffix":null,"section":"Daily Breaths","hidden":false,"hero":true,"slider":null,"value":22080,"display":"22,080"},{"text":"# Longer Spans","label":null,"prefix":null,"suffix":null,"section":"Longer Spans","hero":false,"slider":null,"value":null,"display":null},{"text":"yearly breaths = total daily breaths * 365 // @label(Breaths per year)","label":"Breaths per year","prefix":null,"suffix":null,"section":"Longer Spans","hidden":false,"hero":false,"slider":null,"value":8059200,"display":"8,059,200"},{"text":"lifetime years = 80 // years 1..120","label":null,"prefix":null,"suffix":"years","section":"Longer Spans","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":80,"display":"80"},{"text":"lifetime breaths = total daily breaths * 365 * lifetime years","label":null,"prefix":null,"suffix":null,"section":"Longer Spans","hidden":false,"hero":false,"slider":null,"value":644736000,"display":"644,736,000"},{"text":"# Air Volume","label":null,"prefix":null,"suffix":null,"section":"Air Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"_tidal_volume_ml = 500 // mL","label":null,"prefix":null,"suffix":"mL","section":"Air Volume","hidden":true,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"daily air liters = round(total daily breaths * tidal_volume_ml / 1000) // @label(Air moved per day)","label":"Air moved per day","prefix":null,"suffix":null,"section":"Air Volume","hidden":false,"hero":false,"slider":null,"value":11040,"display":"11,040"}]},{"id":"restricted-stock-unit-rsu-tax","title":"Restricted Stock Unit Rsu Tax","description":"Calculate net RSU value after tax withholding from shares and price.","category":"finance","icon":"dollar-sign","tags":["stock","unit","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.280Z"},"rows":[{"text":"number_of_shares = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"share_price = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"tax_withholding_rate = 0.35","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.35,"display":"0.35"},{"text":"total_value = number_of_shares * share_price","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"tax_due = total_value * tax_withholding_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":17500,"display":"17,500"},{"text":"net_value = total_value - tax_due","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":32500,"display":"32,500"}]},{"id":"retaining-wall-block-count","title":"Retaining Wall Block Count","description":"Calculate the number of blocks needed for a retaining wall.","category":"construction","icon":"layers","tags":["construction","garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.281Z"},"rows":[{"text":"wall_length_meters = 10 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"wall_height_meters = 0.8 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"block_length_meters = 0.3 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"block_height_meters = 0.15 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"blocks_per_row = ceil(wall_length_meters / block_length_meters)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":34,"display":"34"},{"text":"number_of_rows = ceil(wall_height_meters / block_height_meters)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"@hero total_blocks_needed = blocks_per_row * number_of_rows","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":204,"display":"204"}]},{"id":"retention-ratio-business","title":"Retention Ratio Business","description":"Calculate retained earnings ratio from net income and dividends paid.","category":"math","icon":"ratio","tags":["business","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.281Z"},"rows":[{"text":"net_income = 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"dividends_paid = 400000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":400000,"display":"400,000"},{"text":"retention_ratio = (net_income - dividends_paid) / net_income","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.6,"display":"0.6"}]},{"id":"retirement-calculator","title":"Retirement Planner","description":"Project your retirement savings growth and estimated monthly income.","category":"finance","icon":"armchair","tags":["finance"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.281Z"},"rows":[{"text":"# Current Situation","label":null,"prefix":null,"suffix":null,"section":"Current Situation","hero":false,"slider":null,"value":null,"display":null},{"text":"current age = 35 // years 18..70","label":null,"prefix":null,"suffix":"years","section":"Current Situation","hidden":false,"hero":false,"slider":{"min":18,"max":70,"step":1},"value":35,"display":"35"},{"text":"annual income = $60000 // 20k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Current Situation","hidden":false,"hero":false,"slider":{"min":20000,"max":500000,"step":1000},"value":60000,"display":"$60,000.00"},{"text":"current savings = $50000 // 0..2M","label":null,"prefix":"$","suffix":null,"section":"Current Situation","hidden":false,"hero":false,"slider":{"min":0,"max":2000000,"step":20000},"value":50000,"display":"$50,000.00"},{"text":"# Goals","label":null,"prefix":null,"suffix":null,"section":"Goals","hero":false,"slider":null,"value":null,"display":null},{"text":"retirement age = 65 // years 50..80","label":null,"prefix":null,"suffix":"years","section":"Goals","hidden":false,"hero":false,"slider":{"min":50,"max":80,"step":1},"value":65,"display":"65"},{"text":"expected returns = 5 // % 1..15 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Goals","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.5},"value":5,"display":"5"},{"text":"inflation rate = 3 // % 0..10 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Goals","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.5},"value":3,"display":"3"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"years to retirement = retirement_age - current_age","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"savings goal = (annual_income * 0.8) * years_to_retirement / (1 + inflation_rate / 100)^years_to_retirement","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":593260.9337029052,"display":"593,260.9337"},{"text":"future savings = current_savings * (1 + expected_returns / 100)^years_to_retirement","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":216097.11875753338,"display":"216,097.1188"},{"text":"required savings = savings_goal - future_savings","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":377163.8149453718,"display":"377,163.8149"},{"text":"# Required Savings","label":null,"prefix":null,"suffix":null,"section":"Required Savings","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly contribution needed = $required_savings / (years_to_retirement * 12)","label":null,"prefix":"$","suffix":null,"section":"Required Savings","hidden":false,"hero":true,"slider":null,"value":1047.677263737144,"display":"$1,047.68"}]},{"id":"return-merchant-authorization-rate","title":"RMA Rate","description":"Track the frequency of product returns from your customers.","category":"business","icon":"corner-up-left","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.281Z"},"rows":[{"text":"returnedUnits = 15 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"totalUnitsShipped = 1000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"rmaRatePercent = (returnedUnits / totalUnitsShipped) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.5,"display":"1.5"}]},{"id":"return-on-assets-roa","title":"Return On Assets Roa","description":"Calculate return on assets (ROA) from net income and total assets.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.282Z"},"rows":[{"text":"net_income = 150000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":150000,"display":"150,000"},{"text":"total_assets = 2000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000000,"display":"2,000,000"},{"text":"return_on_assets = net_income / total_assets","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.075,"display":"0.075"}]},{"id":"return-on-equity-roe","title":"Return On Equity Roe","description":"Calculate return on equity (ROE) from net income and shareholder equity.","category":"business","icon":"briefcase","tags":["equity","business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.282Z"},"rows":[{"text":"net_income = 150000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":150000,"display":"150,000"},{"text":"shareholder_equity = 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"return_on_equity = net_income / shareholder_equity","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.15,"display":"0.15"}]},{"id":"reverb-decay-time-room-size","title":"Reverb Decay Time Room Size","description":"Calculate room reverb decay time (T60) from volume, surface area, and absorption.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.283Z"},"rows":[{"text":"room_volume = 1000 // cubic meters","label":null,"prefix":null,"suffix":"cubic meters","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"surface_area = 600 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":600,"display":"600"},{"text":"absorption_coefficient = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"@hero decay_time_t60 = 0.161 * room_volume / (surface_area * absorption_coefficient) // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":true,"slider":null,"value":1.788888888888889,"display":"1.7889"}]},{"id":"reverb-time-sabine","title":"Reverb Time Sabine","description":"Calculate reverberation time using the Sabine formula from volume and absorption.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.283Z"},"rows":[{"text":"# Room Dimensions","label":null,"prefix":null,"suffix":null,"section":"Room Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"room volume = 1500 // cubic feet 100..50k","label":null,"prefix":null,"suffix":"cubic feet","section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":100,"max":50000,"step":500},"value":1500,"display":"1,500"},{"text":"total absorption = 200 // sabins 10..5k","label":null,"prefix":null,"suffix":"sabins","section":"Room Dimensions","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":50},"value":200,"display":"200"},{"text":"# Sabine Formula: RT60 = 0.049 * V / A (imperial)","label":null,"prefix":null,"suffix":null,"section":"Sabine Formula: RT60 = 0.049 * V / A (imperial)","hero":false,"slider":null,"value":null,"display":null},{"text":"# RT60 = 0.161 * V / A (metric)","label":null,"prefix":null,"suffix":null,"section":"RT60 = 0.161 * V / A (metric)","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"reverberation time = 0.049 * room volume / total absorption // seconds @hero","label":null,"prefix":null,"suffix":"seconds","section":"Result","hidden":false,"hero":true,"slider":null,"value":0.3675,"display":"0.3675"},{"text":"# Targets","label":null,"prefix":null,"suffix":null,"section":"Targets","hero":false,"slider":null,"value":null,"display":null},{"text":"cinema = 0.8","label":null,"prefix":null,"suffix":null,"section":"Targets","hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"concert hall = 2.0","label":null,"prefix":null,"suffix":null,"section":"Targets","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"recording studio = 0.3","label":null,"prefix":null,"suffix":null,"section":"Targets","hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"classroom = 0.6","label":null,"prefix":null,"suffix":null,"section":"Targets","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"}]},{"id":"reynolds-number-fluid-flow","title":"Reynolds Number Fluid Flow","description":"Determine if fluid flow is laminar or turbulent.","category":"engineering","icon":"wind","tags":["engineering","fluids","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.283Z"},"rows":[{"text":"fluid_density_kg_m3 = 1000 // kg/m3 (water)","label":null,"prefix":null,"suffix":"kg/m3 (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"fluid_velocity_m_per_s = 2 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"characteristic_length_meters = 0.05 // meters (pipe diameter)","label":null,"prefix":null,"suffix":"meters (pipe diameter)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"dynamic_viscosity_pa_s = 0.001 // Pa.s","label":null,"prefix":null,"suffix":"Pa.s","section":null,"hidden":false,"hero":false,"slider":null,"value":0.001,"display":"0.001"},{"text":"@hero reynolds_number = (fluid_density_kg_m3 * fluid_velocity_m_per_s * characteristic_length_meters) / dynamic_viscosity_pa_s","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100000,"display":"100,000"},{"text":"flow_regime = reynolds_number < 2300 // 1 for laminar, 0 for turbulent","label":null,"prefix":null,"suffix":"1 for laminar, 0 for turbulent","section":null,"hidden":false,"hero":false,"slider":null,"value":false,"display":"false"}]},{"id":"rgb-to-cmyk-color-converter","title":"Rgb To Cmyk Color Converter","description":"Convert RGB color values to CMYK percentages.","category":"design","icon":"palette","tags":["rgb","color"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.284Z"},"rows":[{"text":"red = 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"green = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"blue = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_r_prime = red / 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"_g_prime = green / 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_b_prime = blue / 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_k = 1 - max(r_prime, g_prime, b_prime)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"@hero cyan_percent = (1 - r_prime - k) / (1 - k) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"},{"text":"@hero magenta_percent = (1 - g_prime - k) / (1 - k) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"@hero yellow_percent = (1 - b_prime - k) / (1 - k) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"@hero black_percent = k * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"}]},{"id":"rhombus-area","title":"Rhombus Area","description":"Find the area of a rhombus from its diagonals: A = ½ × d₁ × d₂.","category":"formulas","icon":"square","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.284Z"},"rows":[{"text":"# Diagonals","label":null,"prefix":null,"suffix":null,"section":"Diagonals","hero":false,"slider":null,"value":null,"display":null},{"text":"diagonal_1 = 8 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Diagonals","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":8,"display":"8"},{"text":"diagonal_2 = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Diagonals","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = (diagonal_1 * diagonal_2) / 2","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":24,"display":"24"}]},{"id":"rhumb-line-bearing-simple","title":"Rhumb Line Bearing Simple","description":"Calculate the rhumb line (constant compass bearing) between two coordinates.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.284Z"},"rows":[{"text":"lat1 = 40.7128","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40.7128,"display":"40.7128"},{"text":"lon1 = -74.0060","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-74.006,"display":"-74.006"},{"text":"lat2 = 34.0522","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":34.0522,"display":"34.0522"},{"text":"lon2 = -118.2437","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-118.2437,"display":"-118.2437"},{"text":"dlon = (lon2 - lon1) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.7720935185094956,"display":"-0.7721"},{"text":"dphi = log(tan(lat2 * pi / 360 + pi / 4) / tan(lat1 * pi / 360 + pi / 4))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.022719346690706188,"display":"-0.0227"},{"text":"bearing = atan2(dlon, dphi) * 180 / pi","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":-5253.19097118645,"display":"-5,253.191"}]},{"id":"right-triangle-trig","title":"Right Triangle Trig","description":"Find missing sides of a right triangle from one acute angle and the hypotenuse.","category":"formulas","icon":"triangle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.284Z"},"rows":[{"text":"# Known: hypotenuse and one acute angle (degrees)","label":null,"prefix":null,"suffix":null,"section":"Known: hypotenuse and one acute angle (degrees)","hero":false,"slider":null,"value":null,"display":null},{"text":"hypotenuse = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Known: hypotenuse and one acute angle (degrees)","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"angle = 30 // 0..89","label":null,"prefix":null,"suffix":null,"section":"Known: hypotenuse and one acute angle (degrees)","hidden":false,"hero":false,"slider":{"min":0,"max":89,"step":1},"value":30,"display":"30"},{"text":"# Opposite and adjacent","label":null,"prefix":null,"suffix":null,"section":"Opposite and adjacent","hero":false,"slider":null,"value":null,"display":null},{"text":"opposite = hypotenuse * sin(angle deg) // @hero","label":null,"prefix":null,"suffix":null,"section":"Opposite and adjacent","hidden":false,"hero":true,"slider":null,"value":4.999999999999999,"display":"5"},{"text":"adjacent = hypotenuse * cos(angle deg) // @hero","label":null,"prefix":null,"suffix":null,"section":"Opposite and adjacent","hidden":false,"hero":true,"slider":null,"value":8.660254037844387,"display":"8.6603"}]},{"id":"rings-of-saturn-radius","title":"Rings Of Saturn Radius","description":"Calculate the outer radius of Saturn's rings in Saturn radii.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.285Z"},"rows":[{"text":"saturn_radius_km = 60268","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60268,"display":"60,268"},{"text":"ring_a_outer_radius_km = 136775","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":136775,"display":"136,775"},{"text":"ratio = ring_a_outer_radius_km / saturn_radius_km","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.2694464724231764,"display":"2.2694"}]},{"id":"roas-calculator","title":"Roas Calculator","description":"Calculate return on ad spend (ROAS) from ad revenue and ad spend.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.285Z"},"rows":[{"text":"ad_revenue = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"ad_spend = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"return_on_ad_spend = ad_revenue / ad_spend","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"rocket-equation-delta-v","title":"Rocket Equation Delta-V","description":"Calculate delta-V for a rocket stage using the Tsiolkovsky equation.","category":"science","icon":"rocket","tags":["science","physics","space"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.285Z"},"rows":[{"text":"exhaust_velocity_m_per_s = 3000 // m/s (Isp * 9.81)","label":null,"prefix":null,"suffix":"m/s (Isp * 9.81)","section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"initial_mass_kg = 10000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"final_mass_kg = 2000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"@hero delta_v_m_per_s = exhaust_velocity_m_per_s * log(initial_mass_kg / final_mass_kg) // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":true,"slider":null,"value":2096.910013008056,"display":"2,096.91"}]},{"id":"roi-calculator","title":"ROI Calculator","description":"Measure return on investment with annualized returns and future projections.","category":"business","icon":"trending-up","tags":["roi","investment"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.286Z"},"rows":[{"text":"# Investment","label":null,"prefix":null,"suffix":null,"section":"Investment","hero":false,"slider":null,"value":null,"display":null},{"text":"initial investment = $10000 // 100..1M","label":null,"prefix":"$","suffix":null,"section":"Investment","hidden":false,"hero":false,"slider":{"min":100,"max":1000000,"step":10000},"value":10000,"display":"$10,000.00"},{"text":"final value = $15000 // 100..2M","label":null,"prefix":"$","suffix":null,"section":"Investment","hidden":false,"hero":false,"slider":{"min":100,"max":2000000,"step":20000},"value":15000,"display":"$15,000.00"},{"text":"time period = 3 // years 1..30","label":null,"prefix":null,"suffix":"years","section":"Investment","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":3,"display":"3"},{"text":"# Returns","label":null,"prefix":null,"suffix":null,"section":"Returns","hero":false,"slider":null,"value":null,"display":null},{"text":"total return = $final_value - initial_investment","label":null,"prefix":"$","suffix":null,"section":"Returns","hidden":false,"hero":false,"slider":null,"value":5000,"display":"$5,000.00"},{"text":"ROI = (total_return / initial_investment) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Returns","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"},{"text":"annualized ROI = ((final_value / initial_investment)^(1 / time_period) - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Returns","hidden":false,"hero":false,"slider":null,"value":14.471424255333181,"display":"14.4714"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"risk free rate = 4.5 // % 0..10","label":null,"prefix":null,"suffix":"%","section":"Comparison","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.1},"value":4.5,"display":"4.5"},{"text":"excess return over risk free = annualized_ROI - risk_free_rate // %","label":null,"prefix":null,"suffix":"%","section":"Comparison","hidden":false,"hero":false,"slider":null,"value":9.971424255333183,"display":"9.9714"},{"text":"# Future Projection","label":null,"prefix":null,"suffix":null,"section":"Future Projection","hero":false,"slider":null,"value":null,"display":null},{"text":"project forward = 10 // years 1..30","label":null,"prefix":null,"suffix":"years","section":"Future Projection","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":10,"display":"10"},{"text":"projected value = $initial_investment * (1 + annualized_ROI / 100)^project_forward","label":null,"prefix":"$","suffix":null,"section":"Future Projection","hidden":false,"hero":false,"slider":null,"value":38634.10568617495,"display":"$38,634.11"}]},{"id":"roof-shingle-calculator","title":"Roof Shingle Calculator","description":"Estimate roof shingle squares and bundles needed from base area and pitch.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.286Z"},"rows":[{"text":"# Roof Dimensions","label":null,"prefix":null,"suffix":null,"section":"Roof Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"base area = 2000 // square feet 100..10k","label":null,"prefix":null,"suffix":"square feet","section":"Roof Dimensions","hidden":false,"hero":false,"slider":{"min":100,"max":10000,"step":100},"value":2000,"display":"2,000"},{"text":"pitch = 6 // rise over 12 0..18","label":null,"prefix":null,"suffix":"rise over 12","section":"Roof Dimensions","hidden":false,"hero":false,"slider":{"min":0,"max":18,"step":0.2},"value":6,"display":"6"},{"text":"# Pitch Multiplier Calculation","label":null,"prefix":null,"suffix":null,"section":"Pitch Multiplier Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_pitch_factor = sqrt(1 + (pitch / 12)^2)","label":null,"prefix":null,"suffix":null,"section":"Pitch Multiplier Calculation","hidden":true,"hero":false,"slider":null,"value":1.118033988749895,"display":"1.118"},{"text":"_actual_roof_area = base area * pitch_factor","label":null,"prefix":null,"suffix":null,"section":"Pitch Multiplier Calculation","hidden":true,"hero":false,"slider":null,"value":2236.0679774997902,"display":"2,236.068"},{"text":"# Shingle Units","label":null,"prefix":null,"suffix":null,"section":"Shingle Units","hero":false,"slider":null,"value":null,"display":null},{"text":"_squares = actual_roof_area / 100","label":null,"prefix":null,"suffix":null,"section":"Shingle Units","hidden":true,"hero":false,"slider":null,"value":22.360679774997905,"display":"22.3607"},{"text":"total squares = roundup(squares * 10) / 10 // @hero","label":null,"prefix":null,"suffix":null,"section":"Shingle Units","hidden":false,"hero":true,"slider":null,"value":22.4,"display":"22.4"},{"text":"# Materials","label":null,"prefix":null,"suffix":null,"section":"Materials","hero":false,"slider":null,"value":null,"display":null},{"text":"bundles per square = 3 // Standard","label":null,"prefix":null,"suffix":"Standard","section":"Materials","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"total bundles = roundup(total squares * bundles per square)","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":null,"value":68,"display":"68"},{"text":"waste factor percent = 10 // 0..25","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":{"min":0,"max":25,"step":1},"value":10,"display":"10"},{"text":"total bundles with waste = roundup(total bundles * (1 + waste factor percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"}]},{"id":"roth-ira-calculator","title":"Roth Ira Calculator","description":"Project Roth IRA balance at retirement from contributions and expected return.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.286Z"},"rows":[{"text":"# Retirement Goal","label":null,"prefix":null,"suffix":null,"section":"Retirement Goal","hero":false,"slider":null,"value":null,"display":null},{"text":"current age = 30 // years 18..70","label":null,"prefix":null,"suffix":"years","section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":18,"max":70,"step":1},"value":30,"display":"30"},{"text":"retirement age = 65 // years 50..75","label":null,"prefix":null,"suffix":"years","section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":50,"max":75,"step":1},"value":65,"display":"65"},{"text":"$current roth balance = 10000 // 0..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":1000},"value":10000,"display":"$10,000.00"},{"text":"$annual contribution = 7000 // 0..7k by 500","label":null,"prefix":"$","suffix":null,"section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":0,"max":7000,"step":500},"value":7000,"display":"$7,000.00"},{"text":"expected annual return = 7 // % 1..12 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":1,"max":12,"step":0.5},"value":7,"display":"7"},{"text":"# Years to Grow","label":null,"prefix":null,"suffix":null,"section":"Years to Grow","hero":false,"slider":null,"value":null,"display":null},{"text":"_years_to_grow = retirement age - current age","label":null,"prefix":null,"suffix":null,"section":"Years to Grow","hidden":true,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"# Future Value of Current Balance","label":null,"prefix":null,"suffix":null,"section":"Future Value of Current Balance","hero":false,"slider":null,"value":null,"display":null},{"text":"$_fv_of_balance = current roth balance * (1 + expected annual return / 100)^years_to_grow","label":null,"prefix":"$","suffix":null,"section":"Future Value of Current Balance","hidden":true,"hero":false,"slider":null,"value":106765.81484615452,"display":"$106,765.81"},{"text":"# Future Value of Annual Contributions","label":null,"prefix":null,"suffix":null,"section":"Future Value of Annual Contributions","hero":false,"slider":null,"value":null,"display":null},{"text":"$_fv_of_contributions = annual contribution * ((1 + expected annual return / 100)^years_to_grow - 1) / (expected annual return / 100)","label":null,"prefix":"$","suffix":null,"section":"Future Value of Annual Contributions","hidden":true,"hero":false,"slider":null,"value":967658.1484615451,"display":"$967,658.15"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated roth balance at retirement = fv_of_balance + fv_of_contributions // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1074423.9633076997,"display":"$1,074,423.96"},{"text":"$total contributions made = annual contribution * years_to_grow","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":245000,"display":"$245,000.00"},{"text":"$tax free earnings = estimated roth balance at retirement - total contributions made - current roth balance","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":819423.9633076997,"display":"$819,423.96"}]},{"id":"roulette-expected-value","title":"Roulette Expected Value","description":"Calculate the expected value of a roulette bet on European or American wheels.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.286Z"},"rows":[{"text":"# Wheel Type","label":null,"prefix":null,"suffix":null,"section":"Wheel Type","hero":false,"slider":null,"value":null,"display":null},{"text":"pockets = 38 // 37 for European, 38 for American","label":null,"prefix":null,"suffix":"37 for European, 38 for American","section":"Wheel Type","hidden":false,"hero":false,"slider":null,"value":38,"display":"38"},{"text":"# Bet","label":null,"prefix":null,"suffix":null,"section":"Bet","hero":false,"slider":null,"value":null,"display":null},{"text":"bet amount = 10 // $","label":null,"prefix":null,"suffix":"$","section":"Bet","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"payout ratio = 1 // e.g., 1 for Red/Black","label":null,"prefix":null,"suffix":"e.g., 1 for Red/Black","section":"Bet","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"winning pockets = 18 // e.g., 18 for Red","label":null,"prefix":null,"suffix":"e.g., 18 for Red","section":"Bet","hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_win_probability = winning pockets / pockets","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.47368421052631576,"display":"0.4737"},{"text":"_loss_probability = 1 - win_probability","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.5263157894736843,"display":"0.5263"},{"text":"expected value = (win_probability * bet amount * payout ratio) - (loss_probability * bet amount) // $","label":null,"prefix":null,"suffix":"$","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":-0.5263157894736856,"display":"-0.5263"}]},{"id":"rpg-health-regeneration-rate","title":"RPG Health Regeneration Rate","description":"Calculate health regeneration per second based on stats.","category":"math","icon":"heart","tags":["gaming","rpg","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.287Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"stamina = 50","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"regeneration bonus percent = 5 // %","label":null,"prefix":null,"suffix":"%","section":"Stats","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"base regeneration = 10","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"health per second = (base regeneration + (stamina * 0.15)) * (1 + (regeneration bonus percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":18.375,"display":"18.375"}]},{"id":"rpg-level-up-exp-linear","title":"RPG Level Up EXP Linear","description":"Calculate experience required for next level using a linear growth model.","category":"math","icon":"star","tags":["gaming","rpg","experience"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.287Z"},"rows":[{"text":"# Level Settings","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current level = 10","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"base experience = 100","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"experience per level = 50","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"experience required = base experience + (experience per level * current level)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":600,"display":"600"}]},{"id":"rpg-level-up-exp-quadratic","title":"RPG Level Up EXP Quadratic","description":"Calculate experience required for next level using a quadratic growth model.","category":"math","icon":"star","tags":["gaming","rpg","experience"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.287Z"},"rows":[{"text":"# Level Settings","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current level = 10","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"base experience = 100","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"multiplier = 1.1","label":null,"prefix":null,"suffix":null,"section":"Level Settings","hidden":false,"hero":false,"slider":null,"value":1.1,"display":"1.1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"experience required = base experience * (current level ^ 2) * multiplier","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":11000,"display":"11,000"}]},{"id":"rpg-mana-regeneration-rate","title":"RPG Mana Regeneration Rate","description":"Calculate mana regeneration per second based on stats.","category":"math","icon":"zap","tags":["gaming","rpg"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.287Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"intelligence = 40","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"spirit = 30","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"base regeneration = 5","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"mana per second = base regeneration + (intelligence * 0.1) + (spirit * 0.2)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":15,"display":"15"}]},{"id":"rubber-band-stretch-force","title":"Rubber Band Stretch Force","description":"Calculate force in newtons to stretch a rubber band by a given distance.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.287Z"},"rows":[{"text":"stretch_distance_cm = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"spring_constant = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"force_newtons = spring_constant * stretch_distance_cm","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"rugby-points-per-game","title":"Rugby Points Per Game","description":"Calculate rugby points per game.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.288Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"total points = 180","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"games played = 10","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"points per game = total points / games played","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":18,"display":"18"}]},{"id":"rule-of-40-saas","title":"Rule of 40 Saas","description":"Calculate the SaaS Rule of 40 score from revenue growth and profit margin.","category":"business","icon":"briefcase","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.288Z"},"rows":[{"text":"revenue_growth_rate = 0.30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"profit_margin = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"rule_of_40_score = (revenue_growth_rate + profit_margin) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":45,"display":"45"}]},{"id":"rule-of-thirds-composition-grid","title":"Rule Of Thirds Composition Grid","description":"Calculate rule of thirds gridline positions in pixels for image composition.","category":"design","icon":"palette","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.288Z"},"rows":[{"text":"image_width = 1920 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":1920,"display":"1,920"},{"text":"image_height = 1080 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":1080,"display":"1,080"},{"text":"@hero vertical_line_1 = image_width / 3 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":640,"display":"640"},{"text":"@hero vertical_line_2 = 2 * image_width / 3 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":1280,"display":"1,280"},{"text":"@hero horizontal_line_1 = image_height / 3 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":360,"display":"360"},{"text":"@hero horizontal_line_2 = 2 * image_height / 3 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":720,"display":"720"}]},{"id":"rune-set-bonus-calculation","title":"Rune Set Bonus Calculation","description":"Calculate stat bonuses from rune sets.","category":"math","icon":"grid","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.289Z"},"rows":[{"text":"# Rune Settings","label":null,"prefix":null,"suffix":null,"section":"Rune Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base attack = 1000","label":null,"prefix":null,"suffix":null,"section":"Rune Settings","hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"rune bonus percent = 35 // %","label":null,"prefix":null,"suffix":"%","section":"Rune Settings","hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"flat bonus = 150","label":null,"prefix":null,"suffix":null,"section":"Rune Settings","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"total attack = (base attack * (1 + (rune bonus percent / 100))) + flat bonus","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1500,"display":"1,500"}]},{"id":"running-pace","title":"Running Pace","description":"Calculate your required pace, speed, and split times for any race distance.","category":"health","icon":"footprints","tags":["running","marathon"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.289Z"},"rows":[{"text":"# Race Details","label":null,"prefix":null,"suffix":null,"section":"Race Details","hero":false,"slider":null,"value":null,"display":null},{"text":"race distance = 26.2 // miles 0.5..100","label":null,"prefix":null,"suffix":"miles","section":"Race Details","hidden":false,"hero":false,"slider":{"min":0.5,"max":100,"step":1},"value":26.2,"display":"26.2"},{"text":"target hours = 4 // 0..12","label":null,"prefix":null,"suffix":null,"section":"Race Details","hidden":false,"hero":false,"slider":{"min":0,"max":12,"step":0.2},"value":4,"display":"4"},{"text":"target minutes = 0 // 0..59","label":null,"prefix":null,"suffix":null,"section":"Race Details","hidden":false,"hero":false,"slider":{"min":0,"max":59,"step":1},"value":0,"display":"0"},{"text":"# Pace","label":null,"prefix":null,"suffix":null,"section":"Pace","hero":false,"slider":null,"value":null,"display":null},{"text":"total minutes = target_hours * 60 + target_minutes","label":null,"prefix":null,"suffix":null,"section":"Pace","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"required pace = total_minutes / race_distance // min/mile @hero","label":null,"prefix":null,"suffix":"min/mile","section":"Pace","hidden":false,"hero":true,"slider":null,"value":9.16030534351145,"display":"9.1603"},{"text":"pace per kilometer = required_pace / 1.60934 // min/km","label":null,"prefix":null,"suffix":"min/km","section":"Pace","hidden":false,"hero":false,"slider":null,"value":5.691963999845558,"display":"5.692"},{"text":"# Speed","label":null,"prefix":null,"suffix":null,"section":"Speed","hero":false,"slider":null,"value":null,"display":null},{"text":"average speed = 60 / required_pace // mph","label":null,"prefix":null,"suffix":"mph","section":"Speed","hidden":false,"hero":false,"slider":null,"value":6.550000000000001,"display":"6.55"},{"text":"average speed metric = average_speed * 1.60934 // km/h","label":null,"prefix":null,"suffix":"km/h","section":"Speed","hidden":false,"hero":false,"slider":null,"value":10.541177000000001,"display":"10.5412"},{"text":"# Splits","label":null,"prefix":null,"suffix":null,"section":"Splits","hero":false,"slider":null,"value":null,"display":null},{"text":"five K split time = required_pace * 3.10686 // min","label":null,"prefix":null,"suffix":"min","section":"Splits","hidden":false,"hero":false,"slider":null,"value":28.459786259541982,"display":"28.4598"},{"text":"half marathon split = required_pace * 13.1 // min","label":null,"prefix":null,"suffix":"min","section":"Splits","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"}]},{"id":"running-shoes-mileage-tracker","title":"Running Shoes Mileage Tracker","description":"Track running shoe mileage and remaining life against recommended lifespan.","category":"health","icon":"activity","tags":["running","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.289Z"},"rows":[{"text":"# Shoe Stats","label":null,"prefix":null,"suffix":null,"section":"Shoe Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"current mileage = 250 // miles 0..1k","label":null,"prefix":null,"suffix":"miles","section":"Shoe Stats","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":250,"display":"250"},{"text":"new run distance = 5 // miles 0..50","label":null,"prefix":null,"suffix":"miles","section":"Shoe Stats","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":5,"display":"5"},{"text":"recommended lifespan = 400 // miles 300..600","label":null,"prefix":null,"suffix":"miles","section":"Shoe Stats","hidden":false,"hero":false,"slider":{"min":300,"max":600,"step":1},"value":400,"display":"400"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"total shoe mileage = current mileage + new run distance // miles @hero","label":null,"prefix":null,"suffix":"miles","section":"Result","hidden":false,"hero":true,"slider":null,"value":255,"display":"255"},{"text":"remaining life = recommended lifespan - total shoe mileage","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":145,"display":"145"},{"text":"percent life used = (total shoe mileage / recommended lifespan) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":63.75,"display":"63.75"},{"text":"# Status","label":null,"prefix":null,"suffix":null,"section":"Status","hero":false,"slider":null,"value":null,"display":null},{"text":"needs replacement = total shoe mileage >= recommended lifespan","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"miles to go = max(0, remaining life)","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":145,"display":"145"}]},{"id":"running-split-calculator","title":"Running Split Calculator","description":"Calculate required split time for a target race time.","category":"health","icon":"activity","tags":["sports","running"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.289Z"},"rows":[{"text":"# Race Settings","label":null,"prefix":null,"suffix":null,"section":"Race Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"target time minutes = 20","label":null,"prefix":null,"suffix":null,"section":"Race Settings","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"total distance kilometers = 5","label":null,"prefix":null,"suffix":null,"section":"Race Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"split time per kilometer minutes = target time minutes / total distance kilometers // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4,"display":"4"},{"text":"split time per kilometer seconds = split time per kilometer minutes * 60 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":240,"display":"240"}]},{"id":"safety-stock-level","title":"Safety Stock Level","description":"Calculate the extra stock needed to prevent out-of-stock situations.","category":"business","icon":"shield","tags":["safety","stock"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.290Z"},"rows":[{"text":"maxLeadTime = 14 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"averageLeadTime = 10 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"averageDailySales = 100 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"safetyStock = (maxLeadTime - averageLeadTime) * averageDailySales","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":400,"display":"400"}]},{"id":"sail-boat-hull-speed","title":"Sail Boat Hull Speed","description":"Calculate maximum theoretical hull speed in knots from waterline length.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.290Z"},"rows":[{"text":"waterline_length_feet = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero hull_speed_knots = 1.34 * waterline_length_feet^0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7.339482270569226,"display":"7.3395"}]},{"id":"sales-tax","title":"Sales Tax","description":"Calculate sales tax forward and reverse.","category":"business","icon":"receipt","tags":["sales","tax","price"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.290Z"},"rows":[{"text":"# Forward: Price + Tax","label":null,"prefix":null,"suffix":null,"section":"Forward: Price + Tax","hero":false,"slider":null,"value":null,"display":null},{"text":"$price before tax = 49.99 // 0.01..100k","label":null,"prefix":"$","suffix":null,"section":"Forward: Price + Tax","hidden":false,"hero":false,"slider":{"min":0.01,"max":100000,"step":1000},"value":49.99,"display":"$49.99"},{"text":"tax rate = 8.25 // % 0..25","label":null,"prefix":null,"suffix":"%","section":"Forward: Price + Tax","hidden":false,"hero":false,"slider":{"min":0,"max":25,"step":1},"value":8.25,"display":"8.25"},{"text":"$tax amount = round(price before tax * tax rate / 100 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Forward: Price + Tax","hidden":false,"hero":false,"slider":null,"value":4.12,"display":"$4.12"},{"text":"$total with tax = round((price before tax + tax amount) * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Forward: Price + Tax","hidden":false,"hero":true,"slider":null,"value":54.11,"display":"$54.11"},{"text":"# Reverse: Extract Tax from Total","label":null,"prefix":null,"suffix":null,"section":"Reverse: Extract Tax from Total","hero":false,"slider":null,"value":null,"display":null},{"text":"$total paid = 108.25 // 0.01..100k","label":null,"prefix":"$","suffix":null,"section":"Reverse: Extract Tax from Total","hidden":false,"hero":false,"slider":{"min":0.01,"max":100000,"step":1000},"value":108.25,"display":"$108.25"},{"text":"$pre tax price = round(total paid / (1 + tax rate / 100) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Reverse: Extract Tax from Total","hidden":false,"hero":false,"slider":null,"value":100,"display":"$100.00"},{"text":"$tax included in total = round((total paid - pre tax price) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Reverse: Extract Tax from Total","hidden":false,"hero":false,"slider":null,"value":8.25,"display":"$8.25"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"$effective per dollar = round(tax rate / 100 * 10000) / 10000 // @label(Tax per $1 spent)","label":"Tax per $1 spent","prefix":"$","suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":0.0825,"display":"$0.08"}]},{"id":"sandcastle-volume","title":"Sandcastle Volume","description":"Estimate total sand volume in liters needed for a sandcastle.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.290Z"},"rows":[{"text":"bucket_height_cm = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"bucket_radius_cm = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"number_of_buckets = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"bucket_volume = pi * bucket_radius_cm^2 * bucket_height_cm","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6283.185307179588,"display":"6,283.1853"},{"text":"total_volume_liters = (bucket_volume * number_of_buckets) / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":94.24777960769381,"display":"94.2478"}]},{"id":"satellite-look-angle","title":"Satellite Look Angle","description":"Calculate the elevation angle to point at a geostationary satellite.","category":"science","icon":"globe","tags":["angle"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.290Z"},"rows":[{"text":"site_latitude = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"site_longitude = -74","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-74,"display":"-74"},{"text":"satellite_longitude = -100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-100,"display":"-100"},{"text":"dlon = (satellite_longitude - site_longitude) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.4537856055185257,"display":"-0.4538"},{"text":"el_num = cos(dlon) * cos(site_latitude * pi / 180) - 0.151","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.8488944063735282,"display":"0.8489"},{"text":"el_den = sqrt(1 - (cos(dlon) * cos(site_latitude * pi / 180))^2)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.014531899494890543,"display":"0.0145"},{"text":"elevation_degrees = atan2(el_num, el_den) * 180 / pi","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5100.428535142954,"display":"5,100.4285"}]},{"id":"satellite-orbital-decay-rate","title":"Satellite Orbital Decay","description":"Estimate daily altitude loss for LEO satellites.","category":"science","icon":"globe","tags":["science","physics","space"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.291Z"},"rows":[{"text":"initial_altitude_km = 400 // km","label":null,"prefix":null,"suffix":"km","section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"atmospheric_density_approx = 1e-12 // kg/m3","label":null,"prefix":null,"suffix":"kg/m3","section":null,"hidden":false,"hero":false,"slider":null,"value":1e-12,"display":"1e-12"},{"text":"ballistic_coefficient = 100 // kg/m2","label":null,"prefix":null,"suffix":"kg/m2","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero daily_decay_meters = (3.14159 * (6371 + initial_altitude_km) * atmospheric_density_approx * 7800^2) / ballistic_coefficient * 86400 / 1000 // rough meters per day","label":null,"prefix":null,"suffix":"rough meters per day","section":null,"hidden":false,"hero":true,"slider":null,"value":1.1181633866043263,"display":"1.1182"}]},{"id":"savings-bond-value","title":"Savings Bond Value","description":"Calculate current value and interest earned on a Series I savings bond.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.291Z"},"rows":[{"text":"# Bond Details","label":null,"prefix":null,"suffix":null,"section":"Bond Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$face value = 1000 // 25..10k by 25","label":null,"prefix":"$","suffix":null,"section":"Bond Details","hidden":false,"hero":false,"slider":{"min":25,"max":10000,"step":25},"value":1000,"display":"$1,000.00"},{"text":"fixed interest rate = 1.3 // % 0..5 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Bond Details","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.1},"value":1.3,"display":"1.3"},{"text":"variable rate = 3.4 // % 0..10","label":null,"prefix":null,"suffix":"%","section":"Bond Details","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.1},"value":3.4,"display":"3.4"},{"text":"years held = 5 // years 0..30","label":null,"prefix":null,"suffix":"years","section":"Bond Details","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":5,"display":"5"},{"text":"# Combined Rate","label":null,"prefix":null,"suffix":null,"section":"Combined Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"_composite_rate = fixed interest rate + (2 * variable rate) + (fixed interest rate * variable rate / 100)","label":null,"prefix":null,"suffix":null,"section":"Combined Rate","hidden":true,"hero":false,"slider":null,"value":8.1442,"display":"8.1442"},{"text":"effective rate = fixed interest rate + variable rate // simplified estimate","label":null,"prefix":null,"suffix":"simplified estimate","section":"Combined Rate","hidden":false,"hero":false,"slider":null,"value":4.7,"display":"4.7"},{"text":"# Value Calculation","label":null,"prefix":null,"suffix":null,"section":"Value Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"$current value = face value * (1 + effective rate / 100)^years held // @hero","label":null,"prefix":"$","suffix":null,"section":"Value Calculation","hidden":false,"hero":true,"slider":null,"value":1258.1528577500067,"display":"$1,258.15"},{"text":"$total interest earned = current value - face value","label":null,"prefix":"$","suffix":null,"section":"Value Calculation","hidden":false,"hero":false,"slider":null,"value":258.1528577500066,"display":"$258.15"},{"text":"yield to date = (current value / face value - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Value Calculation","hidden":false,"hero":false,"slider":null,"value":null,"display":null}]},{"id":"savings-goal","title":"Savings Goal","description":"Calculate the monthly savings needed to reach your financial goal on time.","category":"finance","icon":"piggy-bank","tags":["finance"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.291Z"},"rows":[{"text":"# Your Goal","label":null,"prefix":null,"suffix":null,"section":"Your Goal","hero":false,"slider":null,"value":null,"display":null},{"text":"savings goal = $50000 // 1k..1M","label":null,"prefix":"$","suffix":null,"section":"Your Goal","hidden":false,"hero":false,"slider":{"min":1000,"max":1000000,"step":10000},"value":50000,"display":"$50,000.00"},{"text":"current savings = $5000 // 0..500k","label":null,"prefix":"$","suffix":null,"section":"Your Goal","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":5000},"value":5000,"display":"$5,000.00"},{"text":"target timeline = 5 // years 1..30","label":null,"prefix":null,"suffix":"years","section":"Your Goal","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":5,"display":"5"},{"text":"# Assumptions","label":null,"prefix":null,"suffix":null,"section":"Assumptions","hero":false,"slider":null,"value":null,"display":null},{"text":"expected annual return = 6 // % 0..15 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Assumptions","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.5},"value":6,"display":"6"},{"text":"monthly return = expected_annual_return / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Assumptions","hidden":false,"hero":false,"slider":null,"value":0.005,"display":"0.005"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"amount still needed = $savings_goal - current_savings","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":45000,"display":"$45,000.00"},{"text":"current savings will grow to = $current_savings * (1 + monthly_return)^(target_timeline * 12)","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":6744.250762746538,"display":"$6,744.25"},{"text":"remaining gap after growth = $savings_goal - current_savings_will_grow_to","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":43255.74923725346,"display":"$43,255.75"},{"text":"monthly savings needed = $remaining_gap_after_growth * monthly_return / ((1 + monthly_return)^(target_timeline * 12) - 1)","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":619.9760688242719,"display":"$619.98"}]},{"id":"savings-withdrawal-burn-rate","title":"Savings Withdrawal Burn Rate","description":"Calculate how many months savings last at a given monthly withdrawal rate.","category":"finance","icon":"flame","tags":["burn","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.291Z"},"rows":[{"text":"total_savings = 500000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"monthly_withdrawal = 4000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"annual_growth = 0.04","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"},{"text":"months_to_depletion = total_savings / monthly_withdrawal","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":125,"display":"125"}]},{"id":"scholarship-value","title":"Scholarship Value","description":"Compare total college cost with and without a scholarship.","category":"education","icon":"award","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.292Z"},"rows":[{"text":"# Annual Costs","label":null,"prefix":null,"suffix":null,"section":"Annual Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$tuition = 25000 // 5k..80k","label":null,"prefix":"$","suffix":null,"section":"Annual Costs","hidden":false,"hero":false,"slider":{"min":5000,"max":80000,"step":1000},"value":25000,"display":"$25,000.00"},{"text":"$room_and_board = 12000 // 3k..25k","label":null,"prefix":"$","suffix":null,"section":"Annual Costs","hidden":false,"hero":false,"slider":{"min":3000,"max":25000,"step":500},"value":12000,"display":"$12,000.00"},{"text":"$books_and_fees = 1500 // 500..5k by 100","label":null,"prefix":"$","suffix":null,"section":"Annual Costs","hidden":false,"hero":false,"slider":{"min":500,"max":5000,"step":100},"value":1500,"display":"$1,500.00"},{"text":"# Scholarship","label":null,"prefix":null,"suffix":null,"section":"Scholarship","hero":false,"slider":null,"value":null,"display":null},{"text":"$scholarship_amount = 15000 // 0..80k by 500","label":null,"prefix":"$","suffix":null,"section":"Scholarship","hidden":false,"hero":false,"slider":{"min":0,"max":80000,"step":500},"value":15000,"display":"$15,000.00"},{"text":"years = 4 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Scholarship","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":4,"display":"4"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual_cost = tuition + room_and_board + books_and_fees","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":38500,"display":"$38,500.00"},{"text":"$total_without_scholarship = annual_cost * years","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":154000,"display":"$154,000.00"},{"text":"$total_with_scholarship = (annual_cost - scholarship_amount) * years // @hero","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":94000,"display":"$94,000.00"},{"text":"$total_savings = scholarship_amount * years","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":60000,"display":"$60,000.00"},{"text":"savings_pct = round((total_savings / total_without_scholarship) * 100 * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Results","hidden":false,"hero":false,"slider":null,"value":39,"display":"39"}]},{"id":"screw-thread-shear-strength","title":"Screw Thread Shear Strength","description":"Estimate force required to strip a screw thread.","category":"engineering","icon":"settings-2","tags":["engineering","mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.292Z"},"rows":[{"text":"nominal_diameter_inches = 0.5 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"engagement_length_inches = 0.75 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":0.75,"display":"0.75"},{"text":"material_shear_strength_psi = 30000 // psi","label":null,"prefix":null,"suffix":"psi","section":null,"hidden":false,"hero":false,"slider":null,"value":30000,"display":"30,000"},{"text":"@hero stripping_force_lbs = 3.14159 * nominal_diameter_inches * 0.75 * engagement_length_inches * material_shear_strength_psi // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":true,"slider":null,"value":26507.165625,"display":"26,507.1656"}]},{"id":"scrum-team-velocity-sprint-points","title":"Scrum Team Velocity Sprint Points","description":"Calculate average team velocity in story points across three sprints.","category":"productivity","icon":"clock","tags":["points"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.292Z"},"rows":[{"text":"sprint_1_points = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"sprint_2_points = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"sprint_3_points = 22","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":22,"display":"22"},{"text":"@hero average_velocity = (sprint_1_points + sprint_2_points + sprint_3_points) / 3 // points per sprint","label":null,"prefix":null,"suffix":"points per sprint","section":null,"hidden":false,"hero":true,"slider":null,"value":22.333333333333332,"display":"22.3333"}]},{"id":"scuba-air-consumption-surface-equiv","title":"Scuba Air Consumption Surface Equiv","description":"Calculate scuba surface air consumption rate (SAC) from depth and tank usage.","category":"other","icon":"calculator","tags":["air"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.292Z"},"rows":[{"text":"depth_feet = 66","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":66,"display":"66"},{"text":"tank_pressure_start_psi = 3000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"tank_pressure_end_psi = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"duration_minutes = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"ata_pressure = (depth_feet / 33) + 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"psi_consumed = tank_pressure_start_psi - tank_pressure_end_psi","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"psi_per_minute = psi_consumed / duration_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"@hero surface_equivalent_rate_psi_per_minute = psi_per_minute / ata_pressure","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16.666666666666668,"display":"16.6667"}]},{"id":"sea-level-rise-ice-melt","title":"Sea Level Rise Ice Melt","description":"Estimate sea level rise in meters from melting a volume of polar ice.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.293Z"},"rows":[{"text":"ice_volume_km3 = 24000000 // Antarctic ice sheet","label":null,"prefix":null,"suffix":"Antarctic ice sheet","section":null,"hidden":false,"hero":false,"slider":null,"value":24000000,"display":"24,000,000"},{"text":"ocean_area_km2 = 361000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":361000000,"display":"361,000,000"},{"text":"sea_level_rise_meters = (ice_volume_km3 / ocean_area_km2) * 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":66.4819944598338,"display":"66.482"}]},{"id":"section-179-deduction-business","title":"Section 179 Deduction Business","description":"Calculate Section 179 tax savings on business equipment.","category":"math","icon":"infinity","tags":["business","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.293Z"},"rows":[{"text":"equipment_cost = 50000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"tax_rate = 0.21","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.21,"display":"0.21"},{"text":"tax_savings = equipment_cost * tax_rate","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10500,"display":"10,500"}]},{"id":"sector-area","title":"Sector Area","description":"Find the area of a circular sector: A = ½ × r² × θ (θ in radians).","category":"formulas","icon":"circle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.293Z"},"rows":[{"text":"# Sector","label":null,"prefix":null,"suffix":null,"section":"Sector","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Sector","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"angle_degrees = 60 // 0..360","label":null,"prefix":null,"suffix":null,"section":"Sector","hidden":false,"hero":false,"slider":{"min":0,"max":360,"step":1},"value":60,"display":"60"},{"text":"# Convert to radians and compute area","label":null,"prefix":null,"suffix":null,"section":"Convert to radians and compute area","hero":false,"slider":null,"value":null,"display":null},{"text":"_angle_radians = angle_degrees * pi / 180","label":null,"prefix":null,"suffix":null,"section":"Convert to radians and compute area","hidden":true,"hero":false,"slider":null,"value":1.0471975511965976,"display":"1.0472"},{"text":"area = (radius^2 * angle_radians) / 2 // @label(Sector Area)","label":"Sector Area","prefix":null,"suffix":null,"section":"Convert to radians and compute area","hidden":false,"hero":true,"slider":null,"value":52.35987755982988,"display":"52.3599"}]},{"id":"seed-spacing-garden","title":"Seed Spacing Garden","description":"Calculate total seeds needed for a garden from row length and seed spacing.","category":"everyday","icon":"home","tags":["seed","garden","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.293Z"},"rows":[{"text":"row_length_feet = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"desired_seed_spacing_inches = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"seeds_per_row = (row_length_feet * 12) / desired_seed_spacing_inches","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"number_of_rows = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total_seeds_required = seeds_per_row * number_of_rows","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":300,"display":"300"}]},{"id":"self-employment-tax","title":"Self Employment Tax","description":"Calculate self-employment tax (Social Security + Medicare) and deductible portion.","category":"finance","icon":"dollar-sign","tags":["tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.294Z"},"rows":[{"text":"# Self Employment Income","label":null,"prefix":null,"suffix":null,"section":"Self Employment Income","hero":false,"slider":null,"value":null,"display":null},{"text":"$net self employment income = 75000 // 1k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Self Employment Income","hidden":false,"hero":false,"slider":{"min":1000,"max":500000,"step":1000},"value":75000,"display":"$75,000.00"},{"text":"$other w2 income = 0 // 0..200k by 1k","label":null,"prefix":"$","suffix":null,"section":"Self Employment Income","hidden":false,"hero":false,"slider":{"min":0,"max":200000,"step":1000},"value":0,"display":"$0.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_taxable_net_earnings = net self employment income * 0.9235","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":69262.5,"display":"$69,262.50"},{"text":"social security rate = 12.4 // %","label":null,"prefix":null,"suffix":"%","section":"Calculations","hidden":false,"hero":false,"slider":null,"value":12.4,"display":"12.4"},{"text":"medicare rate = 2.9 // %","label":null,"prefix":null,"suffix":"%","section":"Calculations","hidden":false,"hero":false,"slider":null,"value":2.9,"display":"2.9"},{"text":"ss wage base limit = 168600 // 2024 limit","label":null,"prefix":null,"suffix":"2024 limit","section":"Calculations","hidden":false,"hero":false,"slider":null,"value":168600,"display":"168,600"},{"text":"$_ss_taxable_income = if(taxable_net_earnings + other w2 income > ss wage base limit, if(ss wage base limit - other w2 income > 0, ss wage base limit - other w2 income, 0), taxable_net_earnings)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":69262.5,"display":"$69,262.50"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$_social_security_tax = ss_taxable_income * (social security rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":true,"hero":false,"slider":null,"value":8588.55,"display":"$8,588.55"},{"text":"$_medicare_tax = taxable_net_earnings * (medicare rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":true,"hero":false,"slider":null,"value":2008.6125,"display":"$2,008.61"},{"text":"$total self employment tax = social_security_tax + medicare_tax // @hero","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":10597.1625,"display":"$10,597.16"},{"text":"$deductible portion for income tax = total self employment tax * 0.5","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":5298.58125,"display":"$5,298.58"},{"text":"effective se tax rate = (total self employment tax / net self employment income) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Results","hidden":false,"hero":false,"slider":null,"value":14.12955,"display":"14.1296"}]},{"id":"self-esteem-variance","title":"Self Esteem Variance","description":"Calculate self-esteem as the ratio of successes to pretensions (James formula).","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.294Z"},"rows":[{"text":"successes = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"pretensions = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"self_esteem = successes / pretensions","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.5,"display":"0.5"}]},{"id":"seller-carryback-interest","title":"Seller Carryback Interest","description":"Calculate annual interest for seller-financed real estate deals.","category":"real-estate","icon":"file-text","tags":["interest"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.294Z"},"rows":[{"text":"loanAmount = 50000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"interestRateAnnual = 6 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"totalAnnualInterest = loanAmount * (interestRateAnnual / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3000,"display":"3,000"}]},{"id":"septic-tank-pumping-interval","title":"Septic Tank Pumping Interval","description":"Estimate years between septic tank cleanouts.","category":"everyday","icon":"trash-2","tags":["everyday","home","plumbing"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.294Z"},"rows":[{"text":"tank_size_gallons = 1000 // gallons","label":null,"prefix":null,"suffix":"gallons","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"household_size = 4 // people","label":null,"prefix":null,"suffix":"people","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"@hero years_between_pumping = (tank_size_gallons / (household_size * 50)) // rough estimate","label":null,"prefix":null,"suffix":"rough estimate","section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"server-power-usage-effectiveness-pue","title":"Server Power Usage Effectiveness Pue","description":"Calculate data center Power Usage Effectiveness (PUE).","category":"health","icon":"activity","tags":["server","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.295Z"},"rows":[{"text":"total_facility_power_kilowatts = 1500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"it_equipment_power_kilowatts = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"@hero pue = total_facility_power_kilowatts / it_equipment_power_kilowatts","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.5,"display":"1.5"}]},{"id":"server-uptime-percentage-per-year","title":"Server Uptime Percentage Per Year","description":"Calculate downtime minutes per year from a server uptime percentage.","category":"productivity","icon":"clock","tags":["server","uptime"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.295Z"},"rows":[{"text":"uptime_percentage = 99.9 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":99.9,"display":"99.9"},{"text":"_total_minutes_per_year = 365 * 24 * 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":525600,"display":"525,600"},{"text":"@hero downtime_minutes_per_year = total_minutes_per_year * (1 - uptime_percentage / 100) // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":525.6,"display":"525.6"}]},{"id":"server-uptime-seconds-yearly","title":"Server Uptime Seconds Yearly","description":"Calculate allowed downtime in seconds per year from an SLA uptime percentage.","category":"productivity","icon":"clock","tags":["server","uptime","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.295Z"},"rows":[{"text":"uptime_percentage = 99.99","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":99.99,"display":"99.99"},{"text":"total_seconds_year = 365 * 24 * 60 * 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":31536000,"display":"31,536,000"},{"text":"downtime_percentage = 100 - uptime_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"allowed_downtime_seconds = (downtime_percentage / 100) * total_seconds_year","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3153.6,"display":"3,153.6"}]},{"id":"serving-cost","title":"Cost per Serving","description":"Break down your recipe's total cost into a per-serving price.","category":"cooking","icon":"receipt","tags":["budget"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.295Z"},"rows":[{"text":"# Recipe Details","label":null,"prefix":null,"suffix":null,"section":"Recipe Details","hero":false,"slider":null,"value":null,"display":null},{"text":"servings = 6 // 1..24","label":null,"prefix":null,"suffix":null,"section":"Recipe Details","hidden":false,"hero":false,"slider":{"min":1,"max":24,"step":1},"value":6,"display":"6"},{"text":"# Ingredients & Costs","label":null,"prefix":null,"suffix":null,"section":"Ingredients & Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"chicken = 2 // lbs 0..10 by 0.25","label":null,"prefix":null,"suffix":"lbs","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.25},"value":2,"display":"2"},{"text":"chicken price = $4.99 // /lb 1..15","label":null,"prefix":"$","suffix":"/lb","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.2},"value":4.99,"display":"$4.99"},{"text":"vegetables = 1.5 // lbs 0..10 by 0.25","label":null,"prefix":null,"suffix":"lbs","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.25},"value":1.5,"display":"1.5"},{"text":"vegetable price = $2.99 // /lb 0.5..10","label":null,"prefix":"$","suffix":"/lb","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0.5,"max":10,"step":0.1},"value":2.99,"display":"$2.99"},{"text":"rice = 1 // lbs 0..5 by 0.25","label":null,"prefix":null,"suffix":"lbs","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.25},"value":1,"display":"1"},{"text":"rice price = $1.49 // /lb 0.5..10","label":null,"prefix":"$","suffix":"/lb","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0.5,"max":10,"step":0.1},"value":1.49,"display":"$1.49"},{"text":"spices and other = $1.50 // 0..10 by 0.25","label":null,"prefix":"$","suffix":null,"section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.25},"value":1.5,"display":"$1.50"},{"text":"# Total Cost","label":null,"prefix":null,"suffix":null,"section":"Total Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"chicken cost = $chicken * chicken_price","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":9.98,"display":"$9.98"},{"text":"vegetable cost = $vegetables * vegetable_price","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":4.485,"display":"$4.49"},{"text":"rice cost = $rice * rice_price","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":1.49,"display":"$1.49"},{"text":"total recipe cost = $chicken_cost + vegetable_cost + rice_cost + spices_and_other","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":17.455,"display":"$17.46"},{"text":"cost per serving = $total_recipe_cost / servings","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":true,"slider":null,"value":2.9091666666666667,"display":"$2.91"}]},{"id":"settlement-value-multiplier","title":"Settlement Value Multiplier","description":"Estimate potential legal settlements using common multipliers.","category":"other","icon":"dollar-sign","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.296Z"},"rows":[{"text":"medicalExpenses = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"painAndSufferingMultiplier = 3 // multiplier","label":null,"prefix":null,"suffix":"multiplier","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"estimatedSettlement = medicalExpenses * painAndSufferingMultiplier","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":45000,"display":"45,000"}]},{"id":"severance-pay-calculator","title":"Severance Pay Calculator","description":"Calculate severance package from years of service, weeks per year, and salary.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.296Z"},"rows":[{"text":"# Severance Details","label":null,"prefix":null,"suffix":null,"section":"Severance Details","hero":false,"slider":null,"value":null,"display":null},{"text":"years of service = 8 // years 1..40","label":null,"prefix":null,"suffix":"years","section":"Severance Details","hidden":false,"hero":false,"slider":{"min":1,"max":40,"step":1},"value":8,"display":"8"},{"text":"weeks of pay per year = 2 // weeks 0..4 by 0.5","label":null,"prefix":null,"suffix":"weeks","section":"Severance Details","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.5},"value":2,"display":"2"},{"text":"$current annual salary = 85000 // 20k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Severance Details","hidden":false,"hero":false,"slider":{"min":20000,"max":500000,"step":1000},"value":85000,"display":"$85,000.00"},{"text":"$unused vacation days = 10 // days 0..30","label":null,"prefix":"$","suffix":"days","section":"Severance Details","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":10,"display":"$10.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_weekly_salary = current annual salary / 52","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":1634.6153846153845,"display":"$1,634.62"},{"text":"$_daily_rate = current annual salary / 260","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":326.9230769230769,"display":"$326.92"},{"text":"_total_weeks_severance = years of service * weeks of pay per year","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"$_severance_pay = weekly_salary * total_weeks_severance","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":26153.846153846152,"display":"$26,153.85"},{"text":"$_vacation_payout = daily_rate * unused vacation days","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":3269.2307692307686,"display":"$3,269.23"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated total severance package = severance_pay + vacation_payout // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":29423.076923076922,"display":"$29,423.08"},{"text":"$net after 30 percent tax = estimated total severance package * 0.7","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":20596.153846153844,"display":"$20,596.15"},{"text":"equivalent months of pay = estimated total severance package / (current annual salary / 12)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":4.153846153846153,"display":"4.1538"}]},{"id":"sharpe-ratio-investment","title":"Sharpe Ratio Investment","description":"Calculate the Sharpe ratio from portfolio return, risk-free rate, and volatility.","category":"math","icon":"ratio","tags":["investment","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.296Z"},"rows":[{"text":"portfolio_return = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"risk_free_rate = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"standard_deviation = 0.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"sharpe_ratio = (portfolio_return - risk_free_rate) / standard_deviation","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.2,"display":"1.2"}]},{"id":"shelf-load-capacity-sag","title":"Shelf Load Capacity and Sag","description":"Predict shelf deflection under load (the 'Sagulator').","category":"engineering","icon":"layers","tags":["engineering","woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.296Z"},"rows":[{"text":"shelf_length_inches = 36 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":36,"display":"36"},{"text":"shelf_depth_inches = 12 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"shelf_thickness_inches = 0.75 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":0.75,"display":"0.75"},{"text":"elastic_modulus_psi = 1500000 // psi (for pine)","label":null,"prefix":null,"suffix":"psi (for pine)","section":null,"hidden":false,"hero":false,"slider":null,"value":1500000,"display":"1,500,000"},{"text":"total_load_pounds = 50 // lbs","label":null,"prefix":null,"suffix":"lbs","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"moment_of_inertia = (shelf_depth_inches * (shelf_thickness_inches^3)) / 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.421875,"display":"0.4219"},{"text":"@hero max_sag_inches = (5 * total_load_pounds * (shelf_length_inches^3)) / (384 * elastic_modulus_psi * moment_of_inertia) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":0.048,"display":"0.048"}]},{"id":"shipping-delay-cost","title":"Shipping Delay Cost","description":"Estimate the financial impact of shipping delays on your capital.","category":"business","icon":"dollar-sign","tags":["shipping","delay"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.296Z"},"rows":[{"text":"dailyDelayedValue = 5000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"holdingInterestRateAnnual = 0.12 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"daysDelayed = 3 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"totalDelayCost = (dailyDelayedValue * (holdingInterestRateAnnual / 100) / 365) * daysDelayed","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.04931506849315068,"display":"0.0493"}]},{"id":"shopify-plan-comparison","title":"Shopify Plan Comparison","description":"Compare Shopify Basic vs Standard plan total cost at a given monthly revenue.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.297Z"},"rows":[{"text":"monthly_revenue = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"shopify_basic_monthly = 39","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":39,"display":"39"},{"text":"shopify_basic_fee = 0.029","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.029,"display":"0.029"},{"text":"shopify_standard_monthly = 105","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":105,"display":"105"},{"text":"shopify_standard_fee = 0.026","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.026,"display":"0.026"},{"text":"basic_total = shopify_basic_monthly + (monthly_revenue * shopify_basic_fee)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":184,"display":"184"},{"text":"standard_total = shopify_standard_monthly + (monthly_revenue * shopify_standard_fee)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":235,"display":"235"},{"text":"monthly_savings = basic_total - standard_total","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-51,"display":"-51"}]},{"id":"short-term-rental-profitability","title":"Short-Term Rental Profitability","description":"Calculate monthly profit for vacation rentals like Airbnb.","category":"real-estate","icon":"sun","tags":["rental"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.297Z"},"rows":[{"text":"nightlyRate = 150 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"occupancyRatePercentage = 60 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"monthlyExpenses = 1200 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"_monthlyRevenue = nightlyRate * (occupancyRatePercentage / 100) * 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":2700,"display":"2,700"},{"text":"monthlyProfit = monthlyRevenue - monthlyExpenses","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1500,"display":"1,500"}]},{"id":"signal-to-noise-ratio-db","title":"Signal to Noise Ratio (dB)","description":"Calculate SNR in decibels from signal and noise power.","category":"engineering","icon":"volume-2","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.297Z"},"rows":[{"text":"signal_power_watts = 0.01 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"noise_power_watts = 0.00001 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":0.00001,"display":"0.00001"},{"text":"@hero snr_db = 10 * log10(signal_power_watts / noise_power_watts) // dB","label":null,"prefix":null,"suffix":"dB","section":null,"hidden":false,"hero":true,"slider":null,"value":29.999999999999993,"display":"30"}]},{"id":"silver-price-by-weight","title":"Silver Price By Weight","description":"Calculate silver value from weight in grams and price per ounce.","category":"finance","icon":"tag","tags":["price","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.297Z"},"rows":[{"text":"current_silver_price_per_ounce = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"silver_weight_grams = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"grams_per_ounce = 31.1035","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":31.1035,"display":"31.1035"},{"text":"total_silver_value = (silver_weight_grams / grams_per_ounce) * current_silver_price_per_ounce","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":80.37680646872538,"display":"80.3768"}]},{"id":"simple-interest","title":"Simple Interest","description":"Calculate simple interest earned and total balance on a principal.","category":"finance","icon":"dollar-sign","tags":["interest","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.298Z"},"rows":[{"text":"# Loan Details","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$principal = 10000 // 100..1M","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":100,"max":1000000,"step":10000},"value":10000,"display":"$10,000.00"},{"text":"annual interest rate = 5 // % 0.1..25 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":0.1,"max":25,"step":0.1},"value":5,"display":"5"},{"text":"time in years = 2 // years 0.1..50 by 0.1","label":null,"prefix":null,"suffix":"years","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":0.1,"max":50,"step":0.1},"value":2,"display":"2"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$simple interest earned = principal * (annual interest rate / 100) * time in years // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1000,"display":"$1,000.00"},{"text":"$total balance = principal + simple interest earned","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":11000,"display":"$11,000.00"},{"text":"$monthly interest = simple interest earned / (time in years * 12)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":41.666666666666664,"display":"$41.67"}]},{"id":"simple-pendulum-period-advanced","title":"Simple Pendulum Period Advanced","description":"Calculate pendulum period with large-angle correction.","category":"other","icon":"calculator","tags":["pendulum"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.298Z"},"rows":[{"text":"pendulum_length_meters = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"gravitational_acceleration = 9.80665","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9.80665,"display":"9.8067"},{"text":"maximum_angle_degrees = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"angle_radians = maximum_angle_degrees * 3.14159 / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1745327777777778,"display":"0.1745"},{"text":"small_angle_period = 2 * 3.14159 * (pendulum_length_meters / gravitational_acceleration) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.006407597847613,"display":"2.0064"},{"text":"correction_factor = 1 + (1 / 16) * angle_radians ** 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.0019038556574267,"display":"1.0019"},{"text":"actual_period_seconds = small_angle_period * correction_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.010227508303879,"display":"2.0102"}]},{"id":"simple-pension-payout-estimate","title":"Simple Pension Payout Estimate","description":"Calculate monthly pension payout from years of service, salary, and multiplier.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.298Z"},"rows":[{"text":"years_of_service = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"average_salary = 90000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90000,"display":"90,000"},{"text":"pension_multiplier = 0.02","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.02,"display":"0.02"},{"text":"annual_pension = years_of_service * average_salary * pension_multiplier","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45000,"display":"45,000"},{"text":"monthly_pension = annual_pension / 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3750,"display":"3,750"}]},{"id":"sin-cos-tan","title":"Sin Cos Tan","description":"Compute sin, cos, and tan of an angle in degrees.","category":"formulas","icon":"sigma","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.298Z"},"rows":[{"text":"# Angle in degrees","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hero":false,"slider":null,"value":null,"display":null},{"text":"angle = 30 // 0..360","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hidden":false,"hero":false,"slider":{"min":0,"max":360,"step":1},"value":30,"display":"30"},{"text":"# Trig functions","label":null,"prefix":null,"suffix":null,"section":"Trig functions","hero":false,"slider":null,"value":null,"display":null},{"text":"sine = sin(angle deg) // @hero @label(sin)","label":"sin","prefix":null,"suffix":null,"section":"Trig functions","hidden":false,"hero":true,"slider":null,"value":0.49999999999999994,"display":"0.5"},{"text":"cosine = cos(angle deg) // @hero @label(cos)","label":"cos","prefix":null,"suffix":null,"section":"Trig functions","hidden":false,"hero":true,"slider":null,"value":0.8660254037844387,"display":"0.866"},{"text":"tangent = tan(angle deg) // @hero @label(tan)","label":"tan","prefix":null,"suffix":null,"section":"Trig functions","hidden":false,"hero":true,"slider":null,"value":0.5773502691896257,"display":"0.5774"}]},{"id":"sinclair-coefficient","title":"Sinclair Coefficient","description":"Calculate Sinclair coefficient score to compare weightlifting totals across body weights.","category":"other","icon":"calculator","tags":["coefficient"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.299Z"},"rows":[{"text":"# Lifter Stats","label":null,"prefix":null,"suffix":null,"section":"Lifter Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight = 80 // kg 40..200","label":null,"prefix":null,"suffix":"kg","section":"Lifter Stats","hidden":false,"hero":false,"slider":{"min":40,"max":200,"step":1},"value":80,"display":"80"},{"text":"total weight lifted = 250 // kg 50..600","label":null,"prefix":null,"suffix":"kg","section":"Lifter Stats","hidden":false,"hero":false,"slider":{"min":50,"max":600,"step":1},"value":250,"display":"250"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Lifter Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Sinclair Parameters (World Record Weights)","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record Weights)","hero":false,"slider":null,"value":null,"display":null},{"text":"world record male = 174.393","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record Weights)","hidden":false,"hero":false,"slider":null,"value":174.393,"display":"174.393"},{"text":"world record female = 153.655","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record Weights)","hidden":false,"hero":false,"slider":null,"value":153.655,"display":"153.655"},{"text":"coefficient a male = 0.751945030","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record Weights)","hidden":false,"hero":false,"slider":null,"value":0.75194503,"display":"0.7519"},{"text":"coefficient a female = 0.783497476","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record Weights)","hidden":false,"hero":false,"slider":null,"value":0.783497476,"display":"0.7835"},{"text":"# Formula: 10^(A * (log10(x/M))^2)","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hero":false,"slider":null,"value":null,"display":null},{"text":"log ratio male = log10(body weight / world record male)","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hidden":false,"hero":false,"slider":null,"value":-0.33843906171019333,"display":"-0.3384"},{"text":"log ratio female = log10(body weight / world record female)","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hidden":false,"hero":false,"slider":null,"value":-0.2834567099602244,"display":"-0.2835"},{"text":"sinclair male = total weight lifted * (10^(coefficient a male * (log ratio male^2)))","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hidden":false,"hero":false,"slider":null,"value":304.8376066474854,"display":"304.8376"},{"text":"sinclair female = total weight lifted * (10^(coefficient a female * (log ratio female^2)))","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hidden":false,"hero":false,"slider":null,"value":288.9962675973123,"display":"288.9963"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"sinclair score = is male * sinclair male + (1 - is male) * sinclair female // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":304.8376066474854,"display":"304.8376"},{"text":"is heavyweight = body weight > world record male","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"final score = if(is heavyweight, total weight lifted, sinclair score)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":304.8376066474854,"display":"304.8376"}]},{"id":"skill-cooldown-reduction-additive","title":"Skill Cooldown Reduction Additive","description":"Calculate skill cooldown with additive reduction.","category":"math","icon":"clock","tags":["gaming","skill"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.299Z"},"rows":[{"text":"# Skill Settings","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base cooldown seconds = 60","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"cooldown reduction percent = 20 // %","label":null,"prefix":null,"suffix":"%","section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_reduction_amount = base cooldown seconds * (cooldown reduction percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"final cooldown seconds = base cooldown seconds - reduction_amount","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":48,"display":"48"}]},{"id":"skill-cooldown-reduction-multiplicative","title":"Skill Cooldown Reduction Multiplicative","description":"Calculate skill cooldown with multiplicative reduction.","category":"math","icon":"clock","tags":["gaming","skill"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.299Z"},"rows":[{"text":"# Skill Settings","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base cooldown seconds = 60","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"source one reduction percent = 10 // %","label":null,"prefix":null,"suffix":"%","section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"source two reduction percent = 15 // %","label":null,"prefix":null,"suffix":"%","section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_multiplier_one = 1 - (source one reduction percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.9,"display":"0.9"},{"text":"_multiplier_two = 1 - (source two reduction percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.85,"display":"0.85"},{"text":"final cooldown seconds = base cooldown seconds * multiplier_one * multiplier_two","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":45.9,"display":"45.9"}]},{"id":"skill-point-allocation-cost","title":"Skill Point Allocation Cost","description":"Calculate cost to allocate skill points.","category":"math","icon":"plus-circle","tags":["gaming","skill","points"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.300Z"},"rows":[{"text":"# Skill Settings","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current skill level = 5","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"points to add = 3","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"base cost per point = 1","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"cost increase per level = 0.5","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_average_cost = base cost per point + (current skill level * cost increase per level)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"total cost = points to add * average_cost","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":10.5,"display":"10.5"}]},{"id":"skydive-free-fall-distance","title":"Skydive Free Fall Distance","description":"Calculate total skydive free-fall distance in feet from time and average velocity.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.300Z"},"rows":[{"text":"fall_time_seconds = 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"average_velocity_feet_per_second = 176 // approx 120 mph","label":null,"prefix":null,"suffix":"approx 120 mph","section":null,"hidden":false,"hero":false,"slider":null,"value":176,"display":"176"},{"text":"@hero total_fall_distance_feet = fall_time_seconds * average_velocity_feet_per_second","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10560,"display":"10,560"}]},{"id":"sleep-calculator","title":"Sleep Calculator","description":"Find optimal bedtimes based on sleep cycles and wake-up time.","category":"health","icon":"moon","tags":["sleep"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.300Z"},"rows":[{"text":"# Wake-Up Time","label":null,"prefix":null,"suffix":null,"section":"Wake-Up Time","hero":false,"slider":null,"value":null,"display":null},{"text":"wake hour = 7 // hour (0-23) 0..23","label":null,"prefix":null,"suffix":"hour (0-23)","section":"Wake-Up Time","hidden":false,"hero":false,"slider":{"min":0,"max":23,"step":1},"value":7,"display":"7"},{"text":"cycle length = 90 // minutes","label":null,"prefix":null,"suffix":"minutes","section":"Wake-Up Time","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"# Fall Asleep Buffer","label":null,"prefix":null,"suffix":null,"section":"Fall Asleep Buffer","hero":false,"slider":null,"value":null,"display":null},{"text":"fall asleep time = 15 // minutes 5..30","label":null,"prefix":null,"suffix":"minutes","section":"Fall Asleep Buffer","hidden":false,"hero":false,"slider":{"min":5,"max":30,"step":1},"value":15,"display":"15"},{"text":"# Optimal Bedtimes","label":null,"prefix":null,"suffix":null,"section":"Optimal Bedtimes","hero":false,"slider":null,"value":null,"display":null},{"text":"bedtime 6 cycles = wake hour * 60 - 6 * cycle length - fall asleep time // min @label(6 Cycles (9h) — bedtime in min past midnight)","label":"6 Cycles (9h) — bedtime in min past midnight","prefix":null,"suffix":"min","section":"Optimal Bedtimes","hidden":false,"hero":false,"slider":null,"value":-135,"display":"-135"},{"text":"bedtime 5 cycles = wake hour * 60 - 5 * cycle length - fall asleep time // min @label(5 Cycles (7.5h) — bedtime in min past midnight)","label":"5 Cycles (7.5h) — bedtime in min past midnight","prefix":null,"suffix":"min","section":"Optimal Bedtimes","hidden":false,"hero":false,"slider":null,"value":-45,"display":"-45"},{"text":"bedtime 4 cycles = wake hour * 60 - 4 * cycle length - fall asleep time // min @label(4 Cycles (6h) — bedtime in min past midnight)","label":"4 Cycles (6h) — bedtime in min past midnight","prefix":null,"suffix":"min","section":"Optimal Bedtimes","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"# Bedtime Hours","label":null,"prefix":null,"suffix":null,"section":"Bedtime Hours","hero":false,"slider":null,"value":null,"display":null},{"text":"bed hour 6 = floor(bedtime 6 cycles / 60) // hr @label(6 Cycles — Hour)","label":"6 Cycles — Hour","prefix":null,"suffix":"hr","section":"Bedtime Hours","hidden":false,"hero":false,"slider":null,"value":-3,"display":"-3"},{"text":"bed min 6 = bedtime 6 cycles - bed hour 6 * 60 // min @label(6 Cycles — Minute)","label":"6 Cycles — Minute","prefix":null,"suffix":"min","section":"Bedtime Hours","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"bed hour 5 = floor(bedtime 5 cycles / 60) // hr @label(5 Cycles — Hour)","label":"5 Cycles — Hour","prefix":null,"suffix":"hr","section":"Bedtime Hours","hidden":false,"hero":false,"slider":null,"value":-1,"display":"-1"},{"text":"bed min 5 = bedtime 5 cycles - bed hour 5 * 60 // min @label(5 Cycles — Minute)","label":"5 Cycles — Minute","prefix":null,"suffix":"min","section":"Bedtime Hours","hidden":false,"hero":true,"slider":null,"value":15,"display":"15"}]},{"id":"sleep-cycle-interruption-cost","title":"Sleep Cycle Interruption Cost","description":"Estimate performance penalty from interrupted sleep cycles.","category":"health","icon":"brain","tags":["sleep","cycle"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.301Z"},"rows":[{"text":"cycles_completed = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"ideal_cycles = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"performance_penalty_percent = (1 - cycles_completed / ideal_cycles) * 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8,"display":"8"}]},{"id":"sleep-cycle-wake-up-time","title":"Sleep Cycle Wake Up Time","description":"Calculate optimal wake-up time based on bedtime and sleep cycle count.","category":"productivity","icon":"clock","tags":["sleep","cycle"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.301Z"},"rows":[{"text":"bedtime_hour = 23 // 11 PM","label":null,"prefix":null,"suffix":"11 PM","section":null,"hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"bedtime_minute = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"cycle_duration_minutes = 90 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"number_of_cycles = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"_total_sleep_minutes = number_of_cycles * cycle_duration_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"@hero wake_up_time_total_minutes = (bedtime_hour * 60 + bedtime_minute + total_sleep_minutes) % 1440","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null},{"text":"@hero wake_up_hour = floor(wake_up_time_total_minutes / 60)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"},{"text":"@hero wake_up_minute = wake_up_time_total_minutes % 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"slinky-spring-length","title":"Slinky Spring Length","description":"Calculate the total wire length of a Slinky from coil count and diameter.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.301Z"},"rows":[{"text":"number_of_coils = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"coil_diameter_cm = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"total_wire_length_meters = (number_of_coils * pi * coil_diameter_cm) / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":17.59291886010284,"display":"17.5929"}]},{"id":"slope-formula","title":"Slope Formula","description":"Find the slope of a line through two points: m = (y₂-y₁)/(x₂-x₁).","category":"formulas","icon":"trending-up","tags":["slope","coordinate-geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.301Z"},"rows":[{"text":"# Two points","label":null,"prefix":null,"suffix":null,"section":"Two points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 1 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"y1 = 2 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":2,"display":"2"},{"text":"x2 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"y2 = 10 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Two points","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":10,"display":"10"},{"text":"# Slope","label":null,"prefix":null,"suffix":null,"section":"Slope","hero":false,"slider":null,"value":null,"display":null},{"text":"slope = (y2 - y1) / (x2 - x1) // @label(Slope m)","label":"Slope m","prefix":null,"suffix":null,"section":"Slope","hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"slope-intercept-form","title":"Slope Intercept Form","description":"Evaluate a line in slope-intercept form (y = mx + b) at a given x.","category":"math","icon":"infinity","tags":["slope","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.302Z"},"rows":[{"text":"# Line Parameters","label":null,"prefix":null,"suffix":null,"section":"Line Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"slope m = 2 // -10..10 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Line Parameters","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":0.1},"value":2,"display":"2"},{"text":"y intercept b = 5 // -50..50","label":null,"prefix":null,"suffix":null,"section":"Line Parameters","hidden":false,"hero":false,"slider":{"min":-50,"max":50,"step":1},"value":5,"display":"5"},{"text":"# Input","label":null,"prefix":null,"suffix":null,"section":"Input","hero":false,"slider":null,"value":null,"display":null},{"text":"x value = 10 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Input","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":10,"display":"10"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"y value = (slope m * x value) + y intercept b","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":25,"display":"25"}]},{"id":"slot-machine-rtp-sim","title":"Slot Machine Rtp Sim","description":"Calculate expected payout and loss for a slot machine session at a given RTP.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.302Z"},"rows":[{"text":"# Session","label":null,"prefix":null,"suffix":null,"section":"Session","hero":false,"slider":null,"value":null,"display":null},{"text":"rtp percentage = 95 // %","label":null,"prefix":null,"suffix":"%","section":"Session","hidden":false,"hero":false,"slider":null,"value":95,"display":"95"},{"text":"total wagered = 500 // $","label":null,"prefix":null,"suffix":"$","section":"Session","hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"number of spins = 500","label":null,"prefix":null,"suffix":null,"section":"Session","hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"expected payout = total wagered * (rtp percentage / 100) // $ @hero @prefix($)","label":null,"prefix":null,"suffix":"$","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":475,"display":"475"},{"text":"expected loss = total wagered - expected payout // $ @hero @prefix($)","label":null,"prefix":null,"suffix":"$","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":25,"display":"25"},{"text":"average loss per spin = expected loss / number of spins // $ @hero @prefix($)","label":null,"prefix":null,"suffix":"$","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.05,"display":"0.05"}]},{"id":"small-claims-court-limit-tracker","title":"Small Claims Limit","description":"Check if your claim falls within the local court's limit.","category":"other","icon":"target","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.302Z"},"rows":[{"text":"claimAmount = 4500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":4500,"display":"4,500"},{"text":"jurisdictionLimit = 5000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"remainingClaimRoom = jurisdictionLimit - claimAmount","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":500,"display":"500"}]},{"id":"smoking-cost-lifetime","title":"Smoking Cost Lifetime","description":"Calculate the lifetime financial cost of smoking and its opportunity cost invested.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.303Z"},"rows":[{"text":"# Habits","label":null,"prefix":null,"suffix":null,"section":"Habits","hero":false,"slider":null,"value":null,"display":null},{"text":"packs per day = 1 // 0..5","label":null,"prefix":null,"suffix":null,"section":"Habits","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.05},"value":1,"display":"1"},{"text":"price per pack = 12 // dollars 5..30","label":null,"prefix":null,"suffix":"dollars","section":"Habits","hidden":false,"hero":false,"slider":{"min":5,"max":30,"step":1},"value":12,"display":"12"},{"text":"years smoking = 20 // years 1..80","label":null,"prefix":null,"suffix":"years","section":"Habits","hidden":false,"hero":false,"slider":{"min":1,"max":80,"step":1},"value":20,"display":"20"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"cost per year = packs per day * price per pack * 365.25","label":null,"prefix":null,"suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":4383,"display":"4,383"},{"text":"lifetime cost = cost per year * years smoking // dollars @hero @prefix($)","label":null,"prefix":null,"suffix":"dollars","section":"Totals","hidden":false,"hero":true,"slider":null,"value":87660,"display":"87,660"},{"text":"# Opportunity Cost (7% Annual Return)","label":null,"prefix":null,"suffix":null,"section":"Opportunity Cost (7% Annual Return)","hero":false,"slider":null,"value":null,"display":null},{"text":"invested value = cost per year * ((1.07^years smoking - 1) / 0.07) // dollars","label":null,"prefix":null,"suffix":"dollars","section":"Opportunity Cost (7% Annual Return)","hidden":false,"hero":false,"slider":null,"value":179683.2428439563,"display":"179,683.2428"}]},{"id":"snail-speed-cross-room","title":"Snail Speed Cross Room","description":"Calculate how long it takes a snail to cross a room at a given speed.","category":"everyday","icon":"smile","tags":["cross"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.303Z"},"rows":[{"text":"room_width_meters = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"snail_speed_meters_per_hour = 0.047","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.047,"display":"0.047"},{"text":"time_hours = room_width_meters / snail_speed_meters_per_hour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":85.1063829787234,"display":"85.1064"}]},{"id":"snells-law-refraction-index","title":"Snells Law Refraction Index","description":"Calculate the angle of refraction using Snell's Law from incidence angle and indices.","category":"education","icon":"book-open","tags":["index"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.303Z"},"rows":[{"text":"angle_incidence_degrees = 45 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"index_refraction_1 = 1.0 // air","label":null,"prefix":null,"suffix":"air","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"index_refraction_2 = 1.33 // water","label":null,"prefix":null,"suffix":"water","section":null,"hidden":false,"hero":false,"slider":null,"value":1.33,"display":"1.33"},{"text":"_angle_incidence_radians = angle_incidence_degrees * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.7853981633974483,"display":"0.7854"},{"text":"_sin_angle_refraction = (index_refraction_1 * sin(angle_incidence_radians)) / index_refraction_2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.010306281657674792,"display":"0.0103"},{"text":"@hero angle_refraction_degrees = asin(sin_angle_refraction) * 180 / pi // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":true,"slider":null,"value":33.834125862511165,"display":"33.8341"}]},{"id":"snow-shoveling-calorie-burn","title":"Snow Shoveling Calorie Burn","description":"Calculate calories burned shoveling snow from weight, duration, and MET value.","category":"health","icon":"cloud-snow","tags":["burn","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.304Z"},"rows":[{"text":"body_weight_pounds = 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"shoveling_duration_minutes = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"metabolic_equivalent_of_task = 6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"calories_burned = metabolic_equivalent_of_task * 3.5 * (body_weight_pounds / 2.2) / 200 * shoveling_duration_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":257.72727272727275,"display":"257.7273"}]},{"id":"soccer-pass-accuracy-percentage","title":"Soccer Pass Accuracy Percentage","description":"Calculate pass accuracy percentage.","category":"health","icon":"activity","tags":["sports","soccer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.304Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"successful passes = 380","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":380,"display":"380"},{"text":"total passes = 450","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"pass accuracy percentage = (successful passes / total passes) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":84.44444444444444,"display":"84.4444"}]},{"id":"soccer-possession-percentage","title":"Soccer Possession Percentage","description":"Calculate possession percentage based on passes.","category":"health","icon":"activity","tags":["sports","soccer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.304Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"team passes = 450","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":450,"display":"450"},{"text":"opponent passes = 350","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_passes = team passes + opponent passes","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"possession percentage = (team passes / total_passes) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":56.25,"display":"56.25"}]},{"id":"soccer-xg-angle","title":"Soccer xG Angle","description":"Calculate simplified expected goals based on shot angle.","category":"health","icon":"activity","tags":["sports","soccer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.304Z"},"rows":[{"text":"# Shot Settings","label":null,"prefix":null,"suffix":null,"section":"Shot Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"angle degrees = 45","label":null,"prefix":null,"suffix":null,"section":"Shot Settings","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"max angle = 90","label":null,"prefix":null,"suffix":null,"section":"Shot Settings","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_angle_factor = angle degrees / max angle","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"expected goals = 0.5 * angle_factor","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.25,"display":"0.25"}]},{"id":"soccer-xg-distance","title":"Soccer xG Distance","description":"Calculate simplified expected goals based on distance.","category":"health","icon":"activity","tags":["sports","soccer"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.305Z"},"rows":[{"text":"# Shot Settings","label":null,"prefix":null,"suffix":null,"section":"Shot Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"distance from goal meters = 12","label":null,"prefix":null,"suffix":null,"section":"Shot Settings","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"base probability = 0.3","label":null,"prefix":null,"suffix":null,"section":"Shot Settings","hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_distance_factor = 1 / distance from goal meters","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.08333333333333333,"display":"0.0833"},{"text":"expected goals = base probability * distance_factor","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.025,"display":"0.025"}]},{"id":"social-anxiety-exposure-ladder","title":"Social Anxiety Exposure Ladder","description":"Calculate exposure ladder steps from current and target social anxiety levels.","category":"health","icon":"brain","tags":["social","exposure"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.305Z"},"rows":[{"text":"current_anxiety_level = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"target_anxiety_level = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"steps_needed = current_anxiety_level - target_anxiety_level","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"social-security-benefits","title":"Social Security Benefits","description":"Estimate monthly Social Security benefit using PIA bend points and claim age.","category":"other","icon":"calculator","tags":["social"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.305Z"},"rows":[{"text":"# Benefits Estimation","label":null,"prefix":null,"suffix":null,"section":"Benefits Estimation","hero":false,"slider":null,"value":null,"display":null},{"text":"$average indexed monthly earnings = 5000 // 500..15k by 100","label":null,"prefix":"$","suffix":null,"section":"Benefits Estimation","hidden":false,"hero":false,"slider":{"min":500,"max":15000,"step":100},"value":5000,"display":"$5,000.00"},{"text":"claim age = 67 // years 62..70 by 1","label":null,"prefix":null,"suffix":"years","section":"Benefits Estimation","hidden":false,"hero":false,"slider":{"min":62,"max":70,"step":1},"value":67,"display":"67"},{"text":"full retirement age = 67 // years 66..67 by 1","label":null,"prefix":null,"suffix":"years","section":"Benefits Estimation","hidden":false,"hero":false,"slider":{"min":66,"max":67,"step":1},"value":67,"display":"67"},{"text":"# PIA Formula (approximate bend points 2024)","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hero":false,"slider":null,"value":null,"display":null},{"text":"_bend_point_one = 1174","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":1174,"display":"1,174"},{"text":"_bend_point_two = 7078","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":7078,"display":"7,078"},{"text":"_part_one = if(average indexed monthly earnings < bend_point_one, average indexed monthly earnings * 0.9, bend_point_one * 0.9)","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":1056.6,"display":"1,056.6"},{"text":"_remainder_after_one = average indexed monthly earnings - bend_point_one","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":3826,"display":"3,826"},{"text":"_part_two = if(remainder_after_one < 0, 0, if(remainder_after_one < (bend_point_two - bend_point_one), remainder_after_one * 0.32, (bend_point_two - bend_point_one) * 0.32))","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":1224.32,"display":"1,224.32"},{"text":"_remainder_after_two = average indexed monthly earnings - bend_point_two","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":-2078,"display":"-2,078"},{"text":"_part_three = if(remainder_after_two < 0, 0, remainder_after_two * 0.15)","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"$_primary_insurance_amount = part_one + part_two + part_three","label":null,"prefix":"$","suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":2280.92,"display":"$2,280.92"},{"text":"# Age Adjustment (approximate)","label":null,"prefix":null,"suffix":null,"section":"Age Adjustment (approximate)","hero":false,"slider":null,"value":null,"display":null},{"text":"_age_diff = claim age - full retirement age","label":null,"prefix":null,"suffix":null,"section":"Age Adjustment (approximate)","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_reduction_factor = if(age_diff < 0, 1 + (age_diff * 0.06), 1 + (age_diff * 0.08))","label":null,"prefix":null,"suffix":null,"section":"Age Adjustment (approximate)","hidden":true,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated monthly benefit = primary_insurance_amount * reduction_factor // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":2280.92,"display":"$2,280.92"},{"text":"$annual benefit = estimated monthly benefit * 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":27371.04,"display":"$27,371.04"},{"text":"percent of indexed earnings = (estimated monthly benefit / average indexed monthly earnings) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":45.6184,"display":"45.6184"}]},{"id":"social-security-tax-cap","title":"Social Security Tax Cap","description":"Calculate months until your salary hits the Social Security wage base.","category":"finance","icon":"dollar-sign","tags":["social","tax","cap","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.305Z"},"rows":[{"text":"annual_salary = 200000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"social_security_wage_base = 160200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":160200,"display":"160,200"},{"text":"months_to_cap = (social_security_wage_base / annual_salary) * 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.612,"display":"9.612"}]},{"id":"sock-loss-probability","title":"Sock Loss Probability","description":"Estimate the probability of losing a sock per wash cycle.","category":"everyday","icon":"smile","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.305Z"},"rows":[{"text":"number_of_socks = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"washing_machine_complexity = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"loss_probability = (number_of_socks * washing_machine_complexity) / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.1,"display":"0.1"}]},{"id":"soil-amendment-volume","title":"Soil Amendment Volume","description":"Calculate volume and bags of soil or compost needed.","category":"everyday","icon":"bucket","tags":["garden","compost"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.306Z"},"rows":[{"text":"garden_area_square_meters = 30 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"amendment_depth_cm = 5 // cm","label":null,"prefix":null,"suffix":"cm","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero total_volume_cubic_meters = garden_area_square_meters * (amendment_depth_cm / 100) // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":true,"slider":null,"value":1.5,"display":"1.5"},{"text":"number_of_50L_bags = (total_volume_cubic_meters * 1000) / 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"}]},{"id":"soil-erosion-rate","title":"Soil Erosion Rate","description":"Estimate annual soil loss using the Universal Soil Loss Equation.","category":"science","icon":"mountain-snow","tags":["science","garden","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.306Z"},"rows":[{"text":"rainfall_factor = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"soil_erodibility = 0.3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"slope_length_factor = 2.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"crop_management_factor = 0.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"erosion_control_practice = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"@hero annual_soil_loss_tonnes_per_hectare = rainfall_factor * soil_erodibility * slope_length_factor * crop_management_factor * erosion_control_practice","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.75,"display":"3.75"}]},{"id":"solar-angle-efficiency","title":"Solar Angle Efficiency","description":"Calculate solar panel efficiency at a given tilt angle versus optimal.","category":"productivity","icon":"clock","tags":["solar","angle","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.306Z"},"rows":[{"text":"solar_panel_tilt_angle_degrees = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"latitude_degrees = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"declination_angle_degrees = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"optimal_tilt_angle = latitude_degrees * 0.9 + 29","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":65,"display":"65"},{"text":"efficiency_loss_percentage = 0.5 * (solar_panel_tilt_angle_degrees - optimal_tilt_angle) ** 2 / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.125,"display":"6.125"},{"text":"current_efficiency_percentage = 100 - efficiency_loss_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":93.875,"display":"93.875"}]},{"id":"solar-constant-on-planet","title":"Solar Constant On Planet","description":"Calculate the solar constant in W/m² for a planet at a given distance.","category":"science","icon":"globe","tags":["solar"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.306Z"},"rows":[{"text":"distance_au = 1.52 // Mars","label":null,"prefix":null,"suffix":"Mars","section":null,"hidden":false,"hero":false,"slider":null,"value":1.52,"display":"1.52"},{"text":"solar_constant_earth = 1361","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1361,"display":"1,361"},{"text":"solar_constant_planet = solar_constant_earth / distance_au^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":589.0754847645429,"display":"589.0755"}]},{"id":"solar-declination","title":"Solar Declination","description":"Calculate the sun's declination angle for a given day of the year.","category":"science","icon":"globe","tags":["solar"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.307Z"},"rows":[{"text":"day_of_year = 172 // Summer Solstice","label":null,"prefix":null,"suffix":"Summer Solstice","section":null,"hidden":false,"hero":false,"slider":null,"value":172,"display":"172"},{"text":"declination_degrees = 23.45 * sin(2 * pi * (284 + day_of_year) / 365)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.202673088886274,"display":"3.2027"}]},{"id":"solar-panel-energy-payback","title":"Solar Panel Energy Payback","description":"Calculate payback period in years for a solar panel system installation.","category":"science","icon":"flask-conical","tags":["solar","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.307Z"},"rows":[{"text":"# System Info","label":null,"prefix":null,"suffix":null,"section":"System Info","hero":false,"slider":null,"value":null,"display":null},{"text":"system cost = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":"System Info","hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"system size kw = 5 // kW","label":null,"prefix":null,"suffix":"kW","section":"System Info","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"sunlight hours per day = 4.5 // average hours","label":null,"prefix":null,"suffix":"average hours","section":"System Info","hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"utility rate per kwh = 0.15 // dollars","label":null,"prefix":null,"suffix":"dollars","section":"System Info","hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"# Production Calculations","label":null,"prefix":null,"suffix":null,"section":"Production Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_daily_production_kwh = system size kw * sunlight hours per day","label":null,"prefix":null,"suffix":null,"section":"Production Calculations","hidden":true,"hero":false,"slider":null,"value":22.5,"display":"22.5"},{"text":"_yearly_production_kwh = daily_production_kwh * 365","label":null,"prefix":null,"suffix":null,"section":"Production Calculations","hidden":true,"hero":false,"slider":null,"value":8212.5,"display":"8,212.5"},{"text":"yearly savings = yearly_production_kwh * utility rate per kwh // @hero","label":null,"prefix":null,"suffix":null,"section":"Production Calculations","hidden":false,"hero":true,"slider":null,"value":1231.875,"display":"1,231.875"},{"text":"# Payback","label":null,"prefix":null,"suffix":null,"section":"Payback","hero":false,"slider":null,"value":null,"display":null},{"text":"payback years = round(system cost / yearly savings, 1)","label":null,"prefix":null,"suffix":null,"section":"Payback","hidden":false,"hero":false,"slider":null,"value":12.2,"display":"12.2"},{"text":"# Maintenance and degradation","label":null,"prefix":null,"suffix":null,"section":"Maintenance and degradation","hero":false,"slider":null,"value":null,"display":null},{"text":"# Standard is approx 0.5% degradation per year","label":null,"prefix":null,"suffix":null,"section":"Standard is approx 0.5% degradation per year","hero":false,"slider":null,"value":null,"display":null},{"text":"production after 20 years = yearly_production_kwh * (0.95^20) // approx","label":null,"prefix":null,"suffix":"approx","section":"Standard is approx 0.5% degradation per year","hidden":false,"hero":false,"slider":null,"value":2944.0656377801506,"display":"2,944.0656"}]},{"id":"solar-panel-surface-area-needed","title":"Solar Panel Area Needed","description":"Estimate the roof area required for a solar panel system.","category":"science","icon":"sun","tags":["eco","solar"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.307Z"},"rows":[{"text":"annual_energy_needed_kwh = 10000 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"solar_panel_wattage = 400 // watts","label":null,"prefix":null,"suffix":"watts","section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"panel_efficiency = 20 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"average_sun_hours_per_day = 4.5 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"annual_production_per_panel = solar_panel_wattage * average_sun_hours_per_day * 365 / 1000 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":657,"display":"657"},{"text":"@hero number_of_panels_needed = annual_energy_needed_kwh / annual_production_per_panel","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":15.220700152207002,"display":"15.2207"},{"text":"panel_area_square_meters = 2 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"total_surface_area_required = number_of_panels_needed * panel_area_square_meters // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":30.441400304414003,"display":"30.4414"}]},{"id":"solar-pool-heater-efficiency","title":"Solar Pool Heater Efficiency","description":"Calculate daily BTU output from a solar pool heater panel.","category":"productivity","icon":"clock","tags":["solar","pool","heater","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.307Z"},"rows":[{"text":"panel_area_square_feet = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"solar_radiation_watts_per_square_foot = 250","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"efficiency_percentage = 70","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"hours_of_sunlight = 6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"daily_energy_btu = panel_area_square_feet * solar_radiation_watts_per_square_foot * 3.412 * (efficiency_percentage / 100) * hours_of_sunlight","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":716520,"display":"716,520"}]},{"id":"sortino-ratio-investment","title":"Sortino Ratio Investment","description":"Calculate the Sortino ratio from return, target, and downside deviation.","category":"math","icon":"ratio","tags":["investment","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.307Z"},"rows":[{"text":"portfolio_return = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"target_return = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"downside_deviation = 0.08","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.08,"display":"0.08"},{"text":"sortino_ratio = (portfolio_return - target_return) / downside_deviation","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.25,"display":"1.25"}]},{"id":"sound-attenuation-distance","title":"Sound Attenuation Distance","description":"Calculate sound level drop over distance in open air.","category":"engineering","icon":"volume-2","tags":["engineering","physics","acoustics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.308Z"},"rows":[{"text":"source_sound_level_db = 100 // dB","label":null,"prefix":null,"suffix":"dB","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"initial_distance_meters = 1 // meter","label":null,"prefix":null,"suffix":"meter","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"new_distance_meters = 10 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero new_sound_level_db = source_sound_level_db - 20 * log10(new_distance_meters / initial_distance_meters) // dB","label":null,"prefix":null,"suffix":"dB","section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"sound-pressure-level","title":"Sound Pressure Level","description":"Calculate sound pressure level in decibels from measured pressure.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.308Z"},"rows":[{"text":"# Sound Stats","label":null,"prefix":null,"suffix":null,"section":"Sound Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"measured pressure = 0.5 // pascals 0.00002..200","label":null,"prefix":null,"suffix":"pascals","section":"Sound Stats","hidden":false,"hero":false,"slider":{"min":0.00002,"max":200,"step":2},"value":0.5,"display":"0.5"},{"text":"reference pressure = 0.00002 // pascals (threshold of hearing)","label":null,"prefix":null,"suffix":"pascals (threshold of hearing)","section":"Sound Stats","hidden":false,"hero":false,"slider":null,"value":0.00002,"display":"0.00002"},{"text":"# Formula: 20 * log10(P / Pref)","label":null,"prefix":null,"suffix":null,"section":"Formula: 20 * log10(P / Pref)","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"sound pressure level = 20 * log10(measured pressure / reference pressure) // db @hero","label":null,"prefix":null,"suffix":"db","section":"Result","hidden":false,"hero":true,"slider":null,"value":87.95880017344075,"display":"87.9588"},{"text":"# Benchmarks","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hero":false,"slider":null,"value":null,"display":null},{"text":"whisper = 30","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"normal conversation = 60","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"power lawn mower = 90","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"jet engine = 140","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":140,"display":"140"},{"text":"pain threshold = 130","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":130,"display":"130"}]},{"id":"sound-wave-interference-patterns","title":"Sound Wave Interference Patterns","description":"Calculate path difference for constructive interference of sound waves.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.308Z"},"rows":[{"text":"frequency = 440 // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":440,"display":"440"},{"text":"speed_of_sound = 343 // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":false,"slider":null,"value":343,"display":"343"},{"text":"distance_between_sources = 2 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"_wavelength = speed_of_sound / frequency // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":true,"hero":false,"slider":null,"value":0.7795454545454545,"display":"0.7795"},{"text":"@hero path_difference_for_constructive = wavelength // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":true,"slider":null,"value":0.7795454545454545,"display":"0.7795"}]},{"id":"sourdough-starter-feeding-ratio","title":"Sourdough Starter Feeding Ratio","description":"Calculate flour and water needed to feed a sourdough starter at a given ratio.","category":"science","icon":"ratio","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.308Z"},"rows":[{"text":"existing_starter_grams = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"feeding_ratio_parts_flour = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"feeding_ratio_parts_water = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"flour_to_add_grams = existing_starter_grams * feeding_ratio_parts_flour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"water_to_add_grams = existing_starter_grams * feeding_ratio_parts_water","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"total_starter_weight_after_feeding = existing_starter_grams + flour_to_add_grams + water_to_add_grams","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":150,"display":"150"}]},{"id":"sous-vide-pasteurization-time","title":"Sous Vide Pasteurization Time","description":"Estimate sous vide pasteurization time from meat thickness and type.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.309Z"},"rows":[{"text":"meat_thickness_millimeters = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"meat_type_beef = 1 // dropdown({Beef/Pork: 1, Poultry: 1.5})","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero pasteurization_time_minutes = (meat_thickness_millimeters^2 / 10) * meat_type_beef","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":62.5,"display":"62.5"}]},{"id":"specific-heat-energy-transfer","title":"Specific Heat Energy Transfer","description":"Calculate heat energy transferred from mass, specific heat, and temperature change.","category":"education","icon":"book-open","tags":["heat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.309Z"},"rows":[{"text":"mass = 0.5 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"specific_heat = 4186 // J/kg*C (water)","label":null,"prefix":null,"suffix":"J/kg*C (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":4186,"display":"4,186"},{"text":"temperature_change = 20 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero heat_energy_q = mass * specific_heat * temperature_change // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":41860,"display":"41,860"}]},{"id":"speed-converter","title":"Speed Converter","description":"Convert mph to km/h, m/s, knots, and see Mach number comparisons.","category":"conversion","icon":"gauge","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.309Z"},"rows":[{"text":"# Input Speed","label":null,"prefix":null,"suffix":null,"section":"Input Speed","hero":false,"slider":null,"value":null,"display":null},{"text":"miles per hour = 60 // mph 1..500","label":null,"prefix":null,"suffix":"mph","section":"Input Speed","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":60,"display":"60"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"kilometers per hour = miles_per_hour * 1.60934 // km/h @hero","label":null,"prefix":null,"suffix":"km/h","section":"Conversions","hidden":false,"hero":true,"slider":null,"value":96.5604,"display":"96.5604"},{"text":"meters per second = miles_per_hour * 0.44704 // m/s","label":null,"prefix":null,"suffix":"m/s","section":"Conversions","hidden":false,"hero":false,"slider":null,"value":26.8224,"display":"26.8224"},{"text":"feet per second = miles_per_hour * 1.46667 // ft/s","label":null,"prefix":null,"suffix":"ft/s","section":"Conversions","hidden":false,"hero":false,"slider":null,"value":88.0002,"display":"88.0002"},{"text":"knots = miles_per_hour * 0.868976","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":52.13856,"display":"52.1386"},{"text":"# Fun Comparisons","label":null,"prefix":null,"suffix":null,"section":"Fun Comparisons","hero":false,"slider":null,"value":null,"display":null},{"text":"Mach number at sea level = miles_per_hour / 767","label":null,"prefix":null,"suffix":null,"section":"Fun Comparisons","hidden":false,"hero":false,"slider":null,"value":0.07822685788787484,"display":"0.0782"},{"text":"pct speed of light = miles_per_hour / 670616629 * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Fun Comparisons","hidden":false,"hero":false,"slider":null,"value":0.000008946989592171297,"display":"0.000008947"},{"text":"# Travel Time","label":null,"prefix":null,"suffix":null,"section":"Travel Time","hero":false,"slider":null,"value":null,"display":null},{"text":"distance = 100 // miles 1..3k","label":null,"prefix":null,"suffix":"miles","section":"Travel Time","hidden":false,"hero":false,"slider":{"min":1,"max":3000,"step":50},"value":100,"display":"100"},{"text":"travel time minutes = distance / miles_per_hour * 60","label":null,"prefix":null,"suffix":null,"section":"Travel Time","hidden":false,"hero":false,"slider":null,"value":100.00000000000001,"display":"100"}]},{"id":"speedometer-error-tire-change","title":"Speedometer Error Tire Change","description":"Calculate speedometer error after changing tire sizes.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.309Z"},"rows":[{"text":"# Tire Diameters","label":null,"prefix":null,"suffix":null,"section":"Tire Diameters","hero":false,"slider":null,"value":null,"display":null},{"text":"old tire diameter inches = 26","label":null,"prefix":null,"suffix":null,"section":"Tire Diameters","hidden":false,"hero":false,"slider":null,"value":26,"display":"26"},{"text":"new tire diameter inches = 28","label":null,"prefix":null,"suffix":null,"section":"Tire Diameters","hidden":false,"hero":false,"slider":null,"value":28,"display":"28"},{"text":"indicated speed miles per hour = 60","label":null,"prefix":null,"suffix":null,"section":"Tire Diameters","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_diameter_ratio = new tire diameter inches / old tire diameter inches","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.0769230769230769,"display":"1.0769"},{"text":"actual speed miles per hour = indicated speed miles per hour * diameter_ratio","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":64.6153846153846,"display":"64.6154"}]},{"id":"sphere-surface-area","title":"Sphere Surface Area","description":"Find the surface area of a sphere from its radius: A = 4 × π × r².","category":"formulas","icon":"circle","tags":["surface-area","geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.309Z"},"rows":[{"text":"# Radius","label":null,"prefix":null,"suffix":null,"section":"Radius","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Radius","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Surface area","label":null,"prefix":null,"suffix":null,"section":"Surface area","hero":false,"slider":null,"value":null,"display":null},{"text":"surface_area = 4 * pi * radius^2","label":null,"prefix":null,"suffix":null,"section":"Surface area","hidden":false,"hero":true,"slider":null,"value":314.1592653589793,"display":"314.1593"}]},{"id":"sphere-volume","title":"Sphere Volume","description":"Find the volume of a sphere from its radius: V = (4/3) × π × r³.","category":"formulas","icon":"circle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.310Z"},"rows":[{"text":"# Radius","label":null,"prefix":null,"suffix":null,"section":"Radius","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Radius","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Volume","label":null,"prefix":null,"suffix":null,"section":"Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"volume = (4 / 3) * pi * radius^3","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":true,"slider":null,"value":523.5987755982989,"display":"523.5988"}]},{"id":"spring-force-hookes-law","title":"Spring Force Hookes Law","description":"Calculate spring force and potential energy using Hooke's Law.","category":"science","icon":"scale","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.310Z"},"rows":[{"text":"# Spring Stats","label":null,"prefix":null,"suffix":null,"section":"Spring Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"spring constant = 500 // n/m 1..10k","label":null,"prefix":null,"suffix":"n/m","section":"Spring Stats","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":500,"display":"500"},{"text":"displacement = 0.1 // meters 0.001..2","label":null,"prefix":null,"suffix":"meters","section":"Spring Stats","hidden":false,"hero":false,"slider":{"min":0.001,"max":2,"step":0.02},"value":0.1,"display":"0.1"},{"text":"# Hookes Law: F = k * x","label":null,"prefix":null,"suffix":null,"section":"Hookes Law: F = k * x","hero":false,"slider":null,"value":null,"display":null},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"spring force = spring constant * displacement // newtons @hero","label":null,"prefix":null,"suffix":"newtons","section":"Result","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"},{"text":"# Potential Energy","label":null,"prefix":null,"suffix":null,"section":"Potential Energy","hero":false,"slider":null,"value":null,"display":null},{"text":"elastic potential energy = 0.5 * spring constant * (displacement^2) // joules","label":null,"prefix":null,"suffix":"joules","section":"Potential Energy","hidden":false,"hero":false,"slider":null,"value":2.5000000000000004,"display":"2.5"},{"text":"mass equivalent = spring force / 9.81 // kg","label":null,"prefix":null,"suffix":"kg","section":"Potential Energy","hidden":false,"hero":false,"slider":null,"value":5.096839959225281,"display":"5.0968"},{"text":"pounds equivalent = mass equivalent * 2.20462","label":null,"prefix":null,"suffix":null,"section":"Potential Energy","hidden":false,"hero":false,"slider":null,"value":11.236595310907239,"display":"11.2366"}]},{"id":"sprinkler-water-usage","title":"Sprinkler Water Usage","description":"Calculate monthly sprinkler water usage from flow rate, duration, and frequency.","category":"health","icon":"droplet","tags":["water","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.310Z"},"rows":[{"text":"number_of_sprinklers = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"flow_rate_gallons_per_minute_per_sprinkler = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"watering_duration_minutes = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"watering_days_per_week = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"weekly_usage_gallons = number_of_sprinklers * flow_rate_gallons_per_minute_per_sprinkler * watering_duration_minutes * watering_days_per_week","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":900,"display":"900"},{"text":"@hero monthly_usage_gallons = weekly_usage_gallons * 4.33","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3897,"display":"3,897"}]},{"id":"sprint-capacity-available-hours","title":"Sprint Capacity Available Hours","description":"Calculate net sprint capacity in hours after a focus-time buffer.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.311Z"},"rows":[{"text":"team_size = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"sprint_days = 10 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"hours_per_day_per_person = 6 // focus hours","label":null,"prefix":null,"suffix":"focus hours","section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"buffer_percent = 10 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"_gross_capacity = team_size * sprint_days * hours_per_day_per_person","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"@hero net_capacity_hours = gross_capacity * (1 - buffer_percent / 100) // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":true,"slider":null,"value":270,"display":"270"}]},{"id":"square-area","title":"Square Area","description":"Find the area of a square from its side length: A = s².","category":"formulas","icon":"square","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.311Z"},"rows":[{"text":"# Side length","label":null,"prefix":null,"suffix":null,"section":"Side length","hero":false,"slider":null,"value":null,"display":null},{"text":"side = 8 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Side length","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":8,"display":"8"},{"text":"# Area and perimeter","label":null,"prefix":null,"suffix":null,"section":"Area and perimeter","hero":false,"slider":null,"value":null,"display":null},{"text":"area = side^2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Area and perimeter","hidden":false,"hero":true,"slider":null,"value":64,"display":"64"},{"text":"perimeter = 4 * side","label":null,"prefix":null,"suffix":null,"section":"Area and perimeter","hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"diagonal = side * sqrt(2)","label":null,"prefix":null,"suffix":null,"section":"Area and perimeter","hidden":false,"hero":false,"slider":null,"value":11.313708498984761,"display":"11.3137"}]},{"id":"stair-stringer-layout","title":"Stair Stringer Layout","description":"Calculate rise, run, and stringer length for stairs.","category":"construction","icon":"ruler","tags":["construction","woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.311Z"},"rows":[{"text":"total_rise_inches = 40 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"ideal_rise_inches = 7 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"number_of_steps = ceil(total_rise_inches / ideal_rise_inches)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"@hero actual_rise_inches = total_rise_inches / number_of_steps // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":6.666666666666667,"display":"6.6667"},{"text":"actual_run_inches = 11 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":11,"display":"11"},{"text":"stringer_length = ((total_rise_inches^2) + ((number_of_steps * actual_run_inches)^2))^0.5 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":77.17512552629896,"display":"77.1751"}]},{"id":"stamina-recovery-time","title":"Stamina Recovery Time","description":"Calculate time required to recover full stamina.","category":"productivity","icon":"clock","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.311Z"},"rows":[{"text":"# Stamina Settings","label":null,"prefix":null,"suffix":null,"section":"Stamina Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current stamina = 20","label":null,"prefix":null,"suffix":null,"section":"Stamina Settings","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"max stamina = 100","label":null,"prefix":null,"suffix":null,"section":"Stamina Settings","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"recovery rate per minute = 1","label":null,"prefix":null,"suffix":null,"section":"Stamina Settings","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_stamina_needed = max stamina - current stamina","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"recovery time minutes = stamina_needed / recovery rate per minute","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"standard-deviation-population","title":"Standard Deviation Population","description":"Calculate population standard deviation across five data points.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.312Z"},"rows":[{"text":"# Data Points","label":null,"prefix":null,"suffix":null,"section":"Data Points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 10","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"x2 = 12","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"x3 = 23","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x4 = 23","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x5 = 16","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_count = 5","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"_sum = x1 + x2 + x3 + x4 + x5","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":84,"display":"84"},{"text":"_mean = sum / count","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":16.8,"display":"16.8"},{"text":"_variance_sum = (x1-mean)^2 + (x2-mean)^2 + (x3-mean)^2 + (x4-mean)^2 + (x5-mean)^2","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":146.8,"display":"146.8"},{"text":"_population_variance = variance_sum / count","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":29.36,"display":"29.36"},{"text":"standard deviation = sqrt(population_variance)","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":5.418486873657627,"display":"5.4185"}]},{"id":"standard-deviation-sample","title":"Standard Deviation Sample","description":"Calculate sample standard deviation across five data points.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.312Z"},"rows":[{"text":"# Data Points","label":null,"prefix":null,"suffix":null,"section":"Data Points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 10","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"x2 = 12","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"x3 = 23","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x4 = 23","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x5 = 16","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_count = 5","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"_sum = x1 + x2 + x3 + x4 + x5","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":84,"display":"84"},{"text":"_mean = sum / count","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":16.8,"display":"16.8"},{"text":"_variance_sum = (x1-mean)^2 + (x2-mean)^2 + (x3-mean)^2 + (x4-mean)^2 + (x5-mean)^2","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":146.8,"display":"146.8"},{"text":"_sample_variance = variance_sum / (count - 1)","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":36.7,"display":"36.7"},{"text":"sample standard deviation = sqrt(sample_variance)","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":6.058052492344384,"display":"6.0581"}]},{"id":"standard-deviation-step-by-step","title":"Standard Deviation Step By Step","description":"Walk through calculating standard deviation step by step across five values.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.312Z"},"rows":[{"text":"x1 = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"x2 = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"x3 = 23","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x4 = 23","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x5 = 16","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"_mean = (x1 + x2 + x3 + x4 + x5) / 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":16.8,"display":"16.8"},{"text":"_variance = ((x1-mean)^2 + (x2-mean)^2 + (x3-mean)^2 + (x4-mean)^2 + (x5-mean)^2) / 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":36.7,"display":"36.7"},{"text":"@hero standard_deviation = sqrt(variance)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6.058052492344384,"display":"6.0581"}]},{"id":"star-apparent-magnitude","title":"Star Apparent Magnitude","description":"Calculate a star's apparent magnitude from absolute magnitude and distance.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.312Z"},"rows":[{"text":"absolute_magnitude = 4.83 // Sun","label":null,"prefix":null,"suffix":"Sun","section":null,"hidden":false,"hero":false,"slider":null,"value":4.83,"display":"4.83"},{"text":"distance_parsecs = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"apparent_magnitude = absolute_magnitude + 5 * (log10(distance_parsecs) - 1)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.83,"display":"4.83"}]},{"id":"star-luminosity","title":"Star Luminosity","description":"Calculate a star's luminosity in solar units from radius and temperature.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.312Z"},"rows":[{"text":"star_radius_solar_units = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"star_temperature_kelvin = 5778","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5778,"display":"5,778"},{"text":"luminosity_relative_to_sun = star_radius_solar_units^2 * (star_temperature_kelvin / 5778)^4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"statistics","title":"Basic Statistics","description":"Calculate mean, min, max, range, and standard deviation.","category":"science","icon":"bar-chart","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.312Z"},"rows":[{"text":"# Data Values","label":null,"prefix":null,"suffix":null,"section":"Data Values","hero":false,"slider":null,"value":null,"display":null},{"text":"val1 = 23 // 0..1k","label":null,"prefix":null,"suffix":null,"section":"Data Values","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":23,"display":"23"},{"text":"val2 = 45 // 0..1k","label":null,"prefix":null,"suffix":null,"section":"Data Values","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":45,"display":"45"},{"text":"val3 = 12 // 0..1k","label":null,"prefix":null,"suffix":null,"section":"Data Values","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":12,"display":"12"},{"text":"val4 = 67 // 0..1k","label":null,"prefix":null,"suffix":null,"section":"Data Values","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":67,"display":"67"},{"text":"val5 = 38 // 0..1k","label":null,"prefix":null,"suffix":null,"section":"Data Values","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":1},"value":38,"display":"38"},{"text":"# Summary Statistics","label":null,"prefix":null,"suffix":null,"section":"Summary Statistics","hero":false,"slider":null,"value":null,"display":null},{"text":"total = sum(val1, val2, val3, val4, val5) // @label(Sum)","label":"Sum","prefix":null,"suffix":null,"section":"Summary Statistics","hidden":false,"hero":false,"slider":null,"value":185,"display":"185"},{"text":"mean = total / 5 // @hero @label(Mean (average))","label":"Mean (average)","prefix":null,"suffix":null,"section":"Summary Statistics","hidden":false,"hero":true,"slider":null,"value":37,"display":"37"},{"text":"minimum = min(val1, val2, val3, val4, val5) // @label(Min)","label":"Min","prefix":null,"suffix":null,"section":"Summary Statistics","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"maximum = max(val1, val2, val3, val4, val5) // @label(Max)","label":"Max","prefix":null,"suffix":null,"section":"Summary Statistics","hidden":false,"hero":false,"slider":null,"value":67,"display":"67"},{"text":"range = maximum - minimum","label":null,"prefix":null,"suffix":null,"section":"Summary Statistics","hidden":false,"hero":false,"slider":null,"value":55,"display":"55"},{"text":"# Spread","label":null,"prefix":null,"suffix":null,"section":"Spread","hero":false,"slider":null,"value":null,"display":null},{"text":"_count = 5","label":null,"prefix":null,"suffix":null,"section":"Spread","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"_variance = ((val1 - mean)^2 + (val2 - mean)^2 + (val3 - mean)^2 + (val4 - mean)^2 + (val5 - mean)^2) / count","label":null,"prefix":null,"suffix":null,"section":"Spread","hidden":true,"hero":false,"slider":null,"value":357.2,"display":"357.2"},{"text":"std dev = round(sqrt(variance) * 100) / 100 // @label(Std deviation (population))","label":"Std deviation (population)","prefix":null,"suffix":null,"section":"Spread","hidden":false,"hero":false,"slider":null,"value":18.9,"display":"18.9"}]},{"id":"statute-of-limitations-breach-of-contract","title":"Statute of Limitations (Contract)","description":"Calculate the time limit for filing a contract breach lawsuit.","category":"other","icon":"file-text","tags":["statute","breach"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.313Z"},"rows":[{"text":"breachYear = 2024 // year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":2024,"display":"2,024"},{"text":"limitationYears = 4 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"deadlineYear = breachYear + limitationYears","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2028,"display":"2,028"}]},{"id":"statute-of-limitations-personal-injury","title":"Statute of Limitations (Injury)","description":"Estimate the legal deadline for filing a personal injury claim.","category":"other","icon":"clock","tags":["statute"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.313Z"},"rows":[{"text":"incidentYear = 2024 // year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":2024,"display":"2,024"},{"text":"limitationYears = 2 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"deadlineYear = incidentYear + limitationYears","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2026,"display":"2,026"}]},{"id":"step-count-to-miles","title":"Step Count To Miles","description":"Convert a daily step count to miles based on stride length.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.313Z"},"rows":[{"text":"step_count = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"stride_length_inches = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero distance_miles = (step_count * stride_length_inches) / (12 * 5280)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.734848484848484,"display":"4.7348"}]},{"id":"stock-return","title":"Stock Return","description":"Project investment growth with monthly contributions.","category":"finance","icon":"trending-up","tags":["stock","investment","compound"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.313Z"},"rows":[{"text":"# Investment Details","label":null,"prefix":null,"suffix":null,"section":"Investment Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$initial investment = 10000 // 100..500k","label":null,"prefix":"$","suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":100,"max":500000,"step":5000},"value":10000,"display":"$10,000.00"},{"text":"annual return = 8 // % 1..30","label":null,"prefix":null,"suffix":"%","section":"Investment Details","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":8,"display":"8"},{"text":"years = 20 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":20,"display":"20"},{"text":"$monthly contribution = 500 // 0..5k","label":null,"prefix":"$","suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":50},"value":500,"display":"$500.00"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly rate = annual return / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0.006666666666666667,"display":"0.006667"},{"text":"total months = years * 12","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"$growth of initial = round(initial investment * (1 + monthly rate)^total months * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":49268.03,"display":"$49,268.03"},{"text":"$growth of contributions = round(monthly contribution * ((1 + monthly rate)^total months - 1) / monthly rate * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":294510.21,"display":"$294,510.21"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$future value = growth of initial + growth of contributions // @hero","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":343778.24,"display":"$343,778.24"},{"text":"$total contributed = initial investment + monthly contribution * total months","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":130000,"display":"$130,000.00"},{"text":"$total earnings = round((future value - total contributed) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":213778.24,"display":"$213,778.24"}]},{"id":"storage-days-cctv-resolution","title":"Storage Days Cctv Resolution","description":"Estimate days of CCTV storage capacity from camera count, bitrate, and disk size.","category":"health","icon":"activity","tags":["storage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.314Z"},"rows":[{"text":"number_of_cameras = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"bitrate_megabits_per_second = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"storage_capacity_terabytes = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"daily_storage_gb = (number_of_cameras * bitrate_megabits_per_second * 3600 * 24) / 8000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":172.8,"display":"172.8"},{"text":"@hero estimated_days_storage = (storage_capacity_terabytes * 1000) / daily_storage_gb","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11.574074074074074,"display":"11.5741"}]},{"id":"storage-estimator","title":"Storage Estimator","description":"Estimate storage needs for photos, videos, and documents with cloud costs.","category":"programming","icon":"hard-drive","tags":["storage","disk","cloud"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.314Z"},"rows":[{"text":"# Data Sources","label":null,"prefix":null,"suffix":null,"section":"Data Sources","hero":false,"slider":null,"value":null,"display":null},{"text":"number of photos = 5000 // 100..100k","label":null,"prefix":null,"suffix":null,"section":"Data Sources","hidden":false,"hero":false,"slider":{"min":100,"max":100000,"step":1000},"value":5000,"display":"5,000"},{"text":"average photo size = 5 // MB 1..30","label":null,"prefix":null,"suffix":"MB","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":5,"display":"5"},{"text":"hours of video = 10 // hours 0..500","label":null,"prefix":null,"suffix":"hours","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":0,"max":500,"step":1},"value":10,"display":"10"},{"text":"video bitrate = 20 // Mbps 5..100","label":null,"prefix":null,"suffix":"Mbps","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":5,"max":100,"step":1},"value":20,"display":"20"},{"text":"number of documents = 1000 // 10..50k","label":null,"prefix":null,"suffix":null,"section":"Data Sources","hidden":false,"hero":false,"slider":{"min":10,"max":50000,"step":500},"value":1000,"display":"1,000"},{"text":"average document size = 0.5 // MB 0.1..10","label":null,"prefix":null,"suffix":"MB","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":0.1,"max":10,"step":0.1},"value":0.5,"display":"0.5"},{"text":"# Storage Needed","label":null,"prefix":null,"suffix":null,"section":"Storage Needed","hero":false,"slider":null,"value":null,"display":null},{"text":"photo storage = number_of_photos * average_photo_size / 1000 // GB","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"video storage = hours_of_video * 3600 * video_bitrate / 8 / 1000 // GB","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"document storage = number_of_documents * average_document_size / 1000 // GB","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"total storage needed = photo_storage + video_storage + document_storage // GB @hero","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":true,"slider":null,"value":115.5,"display":"115.5"},{"text":"# Recommendations","label":null,"prefix":null,"suffix":null,"section":"Recommendations","hero":false,"slider":null,"value":null,"display":null},{"text":"with 1x backup = total_storage_needed * 2 // GB","label":null,"prefix":null,"suffix":"GB","section":"Recommendations","hidden":false,"hero":false,"slider":null,"value":231,"display":"231"},{"text":"cloud cost per month = $total_storage_needed * 0.023 // @label(Cloud Cost (S3 standard, $/mo))","label":"Cloud Cost (S3 standard, $/mo)","prefix":"$","suffix":null,"section":"Recommendations","hidden":false,"hero":false,"slider":null,"value":2.6565,"display":"$2.66"}]},{"id":"storm-drain-capacity","title":"Storm Drain Capacity","description":"Calculate storm drain flow capacity in cubic feet per second using Manning's equation.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.314Z"},"rows":[{"text":"drain_diameter_inches = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"slope_percent = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"roughness_coefficient = 0.013","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.013,"display":"0.013"},{"text":"radius_feet = drain_diameter_inches / 24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"area_square_feet = 3.14159 * radius_feet^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7853975,"display":"0.7854"},{"text":"hydraulic_radius = radius_feet / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"slope = slope_percent / 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"velocity_feet_per_second = (1.486 / roughness_coefficient) * hydraulic_radius^(2/3) * slope^0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4.536303775432201,"display":"4.5363"},{"text":"@hero flow_capacity_cubic_feet_per_second = velocity_feet_per_second * area_square_feet","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.562801644465012,"display":"3.5628"}]},{"id":"streak-probability","title":"Streak Probability","description":"Approximate odds of a heads-streak of given length in N coin flips.","category":"education","icon":"shuffle","tags":["probability","streak","statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.314Z"},"rows":[{"text":"# Setup","label":null,"prefix":null,"suffix":null,"section":"Setup","hero":false,"slider":null,"value":null,"display":null},{"text":"flips = 10 // 5..200","label":null,"prefix":null,"suffix":null,"section":"Setup","hidden":false,"hero":false,"slider":{"min":5,"max":200,"step":1},"value":10,"display":"10"},{"text":"streak length = 6 // 2..20","label":null,"prefix":null,"suffix":null,"section":"Setup","hidden":false,"hero":false,"slider":{"min":2,"max":20,"step":0.2},"value":6,"display":"6"},{"text":"p heads = 0.5 // 0.01..0.99","label":null,"prefix":null,"suffix":null,"section":"Setup","hidden":false,"hero":false,"slider":{"min":0.01,"max":0.99,"step":0.01},"value":0.5,"display":"0.5"},{"text":"# Approximation (Feller windowed)","label":null,"prefix":null,"suffix":null,"section":"Approximation (Feller windowed)","hero":false,"slider":null,"value":null,"display":null},{"text":"_p_streak_per_window = p heads^streak length","label":null,"prefix":null,"suffix":null,"section":"Approximation (Feller windowed)","hidden":true,"hero":false,"slider":null,"value":0.015625,"display":"0.0156"},{"text":"_trials = flips - streak length + 1","label":null,"prefix":null,"suffix":null,"section":"Approximation (Feller windowed)","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"p no streak = (1 - p_streak_per_window)^trials // @label(P(no heads streak))","label":"P(no heads streak)","prefix":null,"suffix":null,"section":"Approximation (Feller windowed)","hidden":false,"hero":false,"slider":null,"value":0.924278556369245,"display":"0.9243"},{"text":"# Hero","label":null,"prefix":null,"suffix":null,"section":"Hero","hero":false,"slider":null,"value":null,"display":null},{"text":"p heads streak = 1 - p no streak // @hero @label(P(heads streak of N+))","label":"P(heads streak of N+)","prefix":null,"suffix":null,"section":"Hero","hidden":false,"hero":true,"slider":null,"value":0.075721443630755,"display":"0.0757"},{"text":"p streak percent = round(p heads streak * 100, 1) // % @label(Probability as %)","label":"Probability as %","prefix":null,"suffix":"%","section":"Hero","hidden":false,"hero":false,"slider":null,"value":7.6,"display":"7.6"},{"text":"# Both Sides","label":null,"prefix":null,"suffix":null,"section":"Both Sides","hero":false,"slider":null,"value":null,"display":null},{"text":"p either side = 1 - (1 - p heads^streak length - (1 - p heads)^streak length)^trials // @label(P(streak either side))","label":"P(streak either side)","prefix":null,"suffix":null,"section":"Both Sides","hidden":false,"hero":false,"slider":null,"value":0.1467848122119904,"display":"0.1468"},{"text":"either percent = round(p either side * 100, 1) // % @label(Either side as %)","label":"Either side as %","prefix":null,"suffix":"%","section":"Both Sides","hidden":false,"hero":false,"slider":null,"value":14.7,"display":"14.7"}]},{"id":"stripe-fee-calculator","title":"Stripe Fee Calculator","description":"Calculate net amount received after Stripe percentage and fixed fees.","category":"everyday","icon":"home","tags":["fee","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.315Z"},"rows":[{"text":"transaction_amount = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"stripe_percentage_fee = 0.029","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.029,"display":"0.029"},{"text":"stripe_fixed_fee = 0.30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"total_stripe_fees = (transaction_amount * stripe_percentage_fee) + stripe_fixed_fee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.2,"display":"3.2"},{"text":"net_amount_received = transaction_amount - total_stripe_fees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":96.8,"display":"96.8"}]},{"id":"stroop-effect-delay","title":"Stroop Effect Delay","description":"Calculate Stroop effect interference delay between congruent and incongruent tasks.","category":"health","icon":"brain","tags":["effect","delay"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.315Z"},"rows":[{"text":"congruent_time_ms = 800","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"incongruent_time_ms = 1200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"interference_delay = incongruent_time_ms - congruent_time_ms","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":400,"display":"400"}]},{"id":"student-loan","title":"Student Loan","description":"Calculate student loan payoff timeline and total interest.","category":"education","icon":"graduation-cap","tags":["loan","debt","payoff"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.315Z"},"rows":[{"text":"# Loan Details","label":null,"prefix":null,"suffix":null,"section":"Loan Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan_balance = 35000 // 1k..200k by 500","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":1000,"max":200000,"step":500},"value":35000,"display":"$35,000.00"},{"text":"annual_interest_rate = 5.5 // % 1..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Loan Details","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.1},"value":5.5,"display":"5.5"},{"text":"$monthly_payment = 400 // 50..3k by 25","label":null,"prefix":"$","suffix":null,"section":"Loan Details","hidden":false,"hero":false,"slider":{"min":50,"max":3000,"step":25},"value":400,"display":"$400.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly_rate = annual_interest_rate / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":0.004583333333333333,"display":"0.004583"},{"text":"months_to_payoff = -ln(1 - (loan_balance * monthly_rate / monthly_payment)) / ln(1 + monthly_rate)","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":112.08806673438853,"display":"112.0881"},{"text":"years_to_payoff = round(months_to_payoff / 12 * 10) / 10 // years @hero","label":null,"prefix":null,"suffix":"years","section":"Calculations","hidden":false,"hero":true,"slider":null,"value":9.3,"display":"9.3"},{"text":"# Cost Summary","label":null,"prefix":null,"suffix":null,"section":"Cost Summary","hero":false,"slider":null,"value":null,"display":null},{"text":"$total_paid = round(monthly_payment * months_to_payoff * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":44835.23,"display":"$44,835.23"},{"text":"$total_interest = round((total_paid - loan_balance) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":9835.23,"display":"$9,835.23"},{"text":"interest_pct = round((total_interest / loan_balance) * 100 * 10) / 10 // % of principal","label":null,"prefix":null,"suffix":"% of principal","section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":28.1,"display":"28.1"}]},{"id":"study-hours","title":"Study Hours","description":"Plan weekly study hours based on credit load.","category":"education","icon":"clock","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.315Z"},"rows":[{"text":"# Course Load","label":null,"prefix":null,"suffix":null,"section":"Course Load","hero":false,"slider":null,"value":null,"display":null},{"text":"credit_hours = 15 // 6..21","label":null,"prefix":null,"suffix":null,"section":"Course Load","hidden":false,"hero":false,"slider":{"min":6,"max":21,"step":0.2},"value":15,"display":"15"},{"text":"study_ratio = 2.5 // hrs per credit 1..4 by 0.5","label":null,"prefix":null,"suffix":"hrs per credit","section":"Course Load","hidden":false,"hero":false,"slider":{"min":1,"max":4,"step":0.5},"value":2.5,"display":"2.5"},{"text":"# Weekly Schedule","label":null,"prefix":null,"suffix":null,"section":"Weekly Schedule","hero":false,"slider":null,"value":null,"display":null},{"text":"weekly_study_hours = credit_hours * study_ratio // hrs @hero","label":null,"prefix":null,"suffix":"hrs","section":"Weekly Schedule","hidden":false,"hero":true,"slider":null,"value":37.5,"display":"37.5"},{"text":"weekly_class_hours = credit_hours","label":null,"prefix":null,"suffix":null,"section":"Weekly Schedule","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"total_weekly_hours = weekly_study_hours + weekly_class_hours // hrs","label":null,"prefix":null,"suffix":"hrs","section":"Weekly Schedule","hidden":false,"hero":false,"slider":null,"value":52.5,"display":"52.5"},{"text":"# Daily Breakdown","label":null,"prefix":null,"suffix":null,"section":"Daily Breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"study_days_per_week = 6 // 5..7","label":null,"prefix":null,"suffix":null,"section":"Daily Breakdown","hidden":false,"hero":false,"slider":{"min":5,"max":7,"step":0.02},"value":6,"display":"6"},{"text":"daily_study_hours = round(weekly_study_hours / study_days_per_week * 10) / 10 // hrs","label":null,"prefix":null,"suffix":"hrs","section":"Daily Breakdown","hidden":false,"hero":false,"slider":null,"value":6.3,"display":"6.3"},{"text":"daily_total = round(total_weekly_hours / study_days_per_week * 10) / 10 // hrs","label":null,"prefix":null,"suffix":"hrs","section":"Daily Breakdown","hidden":false,"hero":false,"slider":null,"value":8.8,"display":"8.8"}]},{"id":"subscription-audit","title":"Subscription Audit","description":"Add up all your monthly subscriptions and see the yearly total.","category":"everyday","icon":"list","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.315Z"},"rows":[{"text":"# Monthly Subscriptions","label":null,"prefix":null,"suffix":null,"section":"Monthly Subscriptions","hero":false,"slider":null,"value":null,"display":null},{"text":"$streaming video = 15.99 // 0..50 @label(Streaming Video (Netflix, etc.))","label":"Streaming Video (Netflix, etc.)","prefix":"$","suffix":null,"section":"Monthly Subscriptions","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":15.99,"display":"$15.99"},{"text":"$music = 10.99 // 0..30 @label(Music (Spotify, etc.))","label":"Music (Spotify, etc.)","prefix":"$","suffix":null,"section":"Monthly Subscriptions","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":10.99,"display":"$10.99"},{"text":"$cloud storage = 2.99 // 0..20 @label(Cloud Storage (iCloud, etc.))","label":"Cloud Storage (iCloud, etc.)","prefix":"$","suffix":null,"section":"Monthly Subscriptions","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":2.99,"display":"$2.99"},{"text":"$news or magazine = 9.99 // 0..30 @label(News / Magazine)","label":"News / Magazine","prefix":"$","suffix":null,"section":"Monthly Subscriptions","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":9.99,"display":"$9.99"},{"text":"$gym membership = 40.00 // 0..200","label":null,"prefix":"$","suffix":null,"section":"Monthly Subscriptions","hidden":false,"hero":false,"slider":{"min":0,"max":200,"step":1},"value":40,"display":"$40.00"},{"text":"$other subscriptions = 14.99 // 0..100 @label(Other (apps, gaming, etc.))","label":"Other (apps, gaming, etc.)","prefix":"$","suffix":null,"section":"Monthly Subscriptions","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":14.99,"display":"$14.99"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"$total monthly = streaming video + music + cloud storage + news or magazine + gym membership + other subscriptions // @hero","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":true,"slider":null,"value":94.95,"display":"$94.95"},{"text":"$total yearly = total monthly * 12","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":1139.4,"display":"$1,139.40"},{"text":"$over 5 years = total yearly * 5 // @label(5-Year Total)","label":"5-Year Total","prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":5697,"display":"$5,697.00"}]},{"id":"sump-pump-capacity","title":"Sump Pump Capacity","description":"Calculate required GPM for a sump pump based on water rise.","category":"engineering","icon":"droplet","tags":["engineering","home","plumbing"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.316Z"},"rows":[{"text":"pit_diameter_inches = 18 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"water_rise_inches_per_minute = 5 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"pit_radius_ft = (pit_diameter_inches / 2) / 12 // ft","label":null,"prefix":null,"suffix":"ft","section":null,"hidden":false,"hero":false,"slider":null,"value":0.75,"display":"0.75"},{"text":"volume_per_inch_ft3 = 3.14159 * (pit_radius_ft^2) / 12 // ft3","label":null,"prefix":null,"suffix":"ft3","section":null,"hidden":false,"hero":false,"slider":null,"value":0.14726203125,"display":"0.1473"},{"text":"gallons_per_ft3 = 7.48","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.48,"display":"7.48"},{"text":"@hero gallons_per_minute_required = volume_per_inch_ft3 * water_rise_inches_per_minute * gallons_per_ft3 * 60 // GPM","label":null,"prefix":null,"suffix":"GPM","section":null,"hidden":false,"hero":true,"slider":null,"value":330.455998125,"display":"330.456"}]},{"id":"sun-angle-altitude","title":"Sun Angle Altitude","description":"Calculate sun altitude angle from latitude, declination, and hour angle.","category":"science","icon":"globe","tags":["angle","altitude"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.316Z"},"rows":[{"text":"latitude_degrees = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"declination_degrees = 23.45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":23.45,"display":"23.45"},{"text":"hour_angle_degrees = 0 // Solar noon","label":null,"prefix":null,"suffix":"Solar noon","section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"altitude_sin = sin(latitude_degrees * pi / 180) * sin(declination_degrees * pi / 180) + cos(latitude_degrees * pi / 180) * cos(declination_degrees * pi / 180) * cos(hour_angle_degrees * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.9999872920776902,"display":"1"},{"text":"altitude_degrees = asin(altitude_sin) * 180 / pi","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5140.070156177371,"display":"5,140.0702"}]},{"id":"sun-azimuth-elevation-simple","title":"Sun Azimuth Elevation Simple","description":"Calculate the sun's elevation angle at solar noon from latitude and day of year.","category":"other","icon":"sun","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.316Z"},"rows":[{"text":"latitude = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"day_of_year = 172","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":172,"display":"172"},{"text":"hour_of_day = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"declination = 23.45 * sin(2 * pi * (284 + day_of_year) / 365)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.202673088886274,"display":"3.2027"},{"text":"hour_angle = 15 * (hour_of_day - 12)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"elevation = asin(sin(latitude * pi / 180) * sin(declination * pi / 180) + cos(latitude * pi / 180) * cos(declination * pi / 180) * cos(hour_angle * pi / 180)) * 180 / pi","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5119.82282926629,"display":"5,119.8228"}]},{"id":"sunk-cost-fallacy-cost","title":"Sunk Cost Fallacy Cost","description":"Quantify the irrational psychological weight of sunk investment in a decision.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.317Z"},"rows":[{"text":"investment_already_made = 5000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"future_cost_to_complete = 2000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"expected_value_at_end = 4000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"irrational_bias_cost = investment_already_made","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5000,"display":"5,000"}]},{"id":"sunscreen-application-volume","title":"Sunscreen Application Volume","description":"Calculate milliliters of sunscreen needed from body surface area and exposure.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.317Z"},"rows":[{"text":"body_surface_area_square_meters = 1.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.8,"display":"1.8"},{"text":"percent_exposed = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"@hero sunscreen_needed_milliliters = body_surface_area_square_meters * 10000 * (percent_exposed / 100) * 0.002","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":18,"display":"18"}]},{"id":"supply-chain-lead-time","title":"Supply Chain Lead Time","description":"Total time from order placement to delivery at your warehouse.","category":"business","icon":"clock","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.317Z"},"rows":[{"text":"manufacturingLeadTime = 20 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"shippingLeadTime = 15 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"processingLeadTime = 5 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"totalLeadTime = manufacturingLeadTime + shippingLeadTime + processingLeadTime","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"surface-area","title":"Surface Area","description":"Sphere surface area split by ocean and land fractions for any planet.","category":"science","icon":"globe","tags":["geometry","surface-area","ocean"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.317Z"},"rows":[{"text":"# Sphere","label":null,"prefix":null,"suffix":null,"section":"Sphere","hero":false,"slider":null,"value":null,"display":null},{"text":"radius km = 6371 // km 1..100k","label":null,"prefix":null,"suffix":"km","section":"Sphere","hidden":false,"hero":false,"slider":{"min":1,"max":100000,"step":1000},"value":6371,"display":"6,371"},{"text":"# Total Surface","label":null,"prefix":null,"suffix":null,"section":"Total Surface","hero":false,"slider":null,"value":null,"display":null},{"text":"earth area km2 = 4 * pi * radius km^2 // km² @label(Total surface area)","label":"Total surface area","prefix":null,"suffix":"km²","section":"Total Surface","hidden":false,"hero":false,"slider":null,"value":510064471.9097882,"display":"510,064,471.9098"},{"text":"# Coverage Fractions","label":null,"prefix":null,"suffix":null,"section":"Coverage Fractions","hero":false,"slider":null,"value":null,"display":null},{"text":"ocean fraction = 71 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Coverage Fractions","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":71,"display":"71"},{"text":"pacific fraction of ocean = 46 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Coverage Fractions","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":46,"display":"46"},{"text":"# Areas","label":null,"prefix":null,"suffix":null,"section":"Areas","hero":false,"slider":null,"value":null,"display":null},{"text":"ocean area km2 = earth area km2 * ocean fraction / 100 // km² @label(All oceans)","label":"All oceans","prefix":null,"suffix":"km²","section":"Areas","hidden":false,"hero":false,"slider":null,"value":362145775.0559497,"display":"362,145,775.0559"},{"text":"pacific area km2 = ocean area km2 * pacific fraction of ocean / 100 // km² @hero @label(Pacific Ocean area)","label":"Pacific Ocean area","prefix":null,"suffix":"km²","section":"Areas","hidden":false,"hero":true,"slider":null,"value":166587056.52573687,"display":"166,587,056.5257"},{"text":"land area km2 = earth area km2 * (100 - ocean fraction) / 100 // km² @label(All continents combined)","label":"All continents combined","prefix":null,"suffix":"km²","section":"Areas","hidden":false,"hero":false,"slider":null,"value":147918696.8538386,"display":"147,918,696.8538"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"pacific exceeds land by km2 = pacific area km2 - land area km2 // km² @label(Pacific minus all land)","label":"Pacific minus all land","prefix":null,"suffix":"km²","section":"Comparison","hidden":false,"hero":false,"slider":null,"value":18668359.67189826,"display":"18,668,359.6719"},{"text":"ratio = round(pacific area km2 / land area km2, 2) // @label(Pacific ÷ all land)","label":"Pacific ÷ all land","prefix":null,"suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":1.13,"display":"1.13"}]},{"id":"suspension-spring-rate","title":"Suspension Spring Rate","description":"Calculate suspension spring rate.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.318Z"},"rows":[{"text":"# Spring Specs","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"wire diameter inches = 0.5","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"coil diameter inches = 4","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"active coils = 10","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"shear modulus = 11500000","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":11500000,"display":"11,500,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"spring rate pounds per inch = (shear modulus * (wire diameter inches ^ 4)) / (8 * (coil diameter inches ^ 3) * active coils)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":140.380859375,"display":"140.3809"}]},{"id":"sustainable-fish-harvest-limit","title":"Sustainable Fish Harvest","description":"Calculate Maximum Sustainable Yield (MSY) for fish stocks.","category":"science","icon":"fish","tags":["science","eco","ocean"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.318Z"},"rows":[{"text":"estimated_fish_biomass_tonnes = 5000 // tonnes","label":null,"prefix":null,"suffix":"tonnes","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"intrinsic_growth_rate = 0.2 // 20% growth","label":null,"prefix":null,"suffix":"20% growth","section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"@hero maximum_sustainable_yield_tonnes = (intrinsic_growth_rate * estimated_fish_biomass_tonnes) / 4 // standard model MSY = rK/4","label":null,"prefix":null,"suffix":"standard model MSY = rK/4","section":null,"hidden":false,"hero":true,"slider":null,"value":250,"display":"250"}]},{"id":"sustainable-growth-rate","title":"Sustainable Growth Rate","description":"Calculate a company's sustainable growth rate from ROE and payout ratio.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.318Z"},"rows":[{"text":"return_on_equity = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"payout_ratio = 0.40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.4,"display":"0.4"},{"text":"sustainable_growth = return_on_equity * (1 - payout_ratio)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.09,"display":"0.09"}]},{"id":"svg-viewbox-aspect-ratio-scaler","title":"Svg Viewbox Aspect Ratio Scaler","description":"Scale SVG viewBox dimensions while preserving aspect ratio.","category":"design","icon":"palette","tags":["aspect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.318Z"},"rows":[{"text":"original_width = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"original_height = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"new_width = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"@hero new_height = (original_height / original_width) * new_width","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":500,"display":"500"}]},{"id":"swimming-calorie-burn","title":"Swimming Calorie Burn","description":"Calculate calories burned swimming from weight, duration, and intensity.","category":"health","icon":"flame","tags":["burn","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.319Z"},"rows":[{"text":"# Workout Info","label":null,"prefix":null,"suffix":null,"section":"Workout Info","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Workout Info","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"duration = 30 // minutes 1..120","label":null,"prefix":null,"suffix":"minutes","section":"Workout Info","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":30,"display":"30"},{"text":"is vigorous = 1 // dropdown({Vigorous: 1, Moderate: 0})","label":null,"prefix":null,"suffix":null,"section":"Workout Info","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# MET Values (Swimming)","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hero":false,"slider":null,"value":null,"display":null},{"text":"met moderate = 6.0","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"met vigorous = 10.0","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"active met = is vigorous * met vigorous + (1 - is vigorous) * met moderate","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Formula: (MET * 3.5 * weight_kg / 200) * minutes","label":null,"prefix":null,"suffix":null,"section":"Formula: (MET * 3.5 * weight_kg / 200) * minutes","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Formula: (MET * 3.5 * weight_kg / 200) * minutes","hidden":false,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"calories burned = (active met * 3.5 * weight kg / 200) * duration // @hero","label":null,"prefix":null,"suffix":null,"section":"Formula: (MET * 3.5 * weight_kg / 200) * minutes","hidden":false,"hero":true,"slider":null,"value":428.64444,"display":"428.6444"},{"text":"# Comparisons","label":null,"prefix":null,"suffix":null,"section":"Comparisons","hero":false,"slider":null,"value":null,"display":null},{"text":"equivalent walking miles = calories burned / 100","label":null,"prefix":null,"suffix":null,"section":"Comparisons","hidden":false,"hero":false,"slider":null,"value":4.2864444,"display":"4.2864"},{"text":"laps in 25m pool = duration * 20 // estimate","label":null,"prefix":null,"suffix":"estimate","section":"Comparisons","hidden":false,"hero":false,"slider":null,"value":600,"display":"600"}]},{"id":"swimming-pool-salt-to-chlorine","title":"Swimming Pool Salt Dosage","description":"Calculate amount of salt to add to reach target ppm.","category":"everyday","icon":"waves","tags":["everyday","pool","maintenance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.319Z"},"rows":[{"text":"pool_volume_liters = 50000 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"current_salt_ppm = 2000 // ppm","label":null,"prefix":null,"suffix":"ppm","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"target_salt_ppm = 3200 // ppm","label":null,"prefix":null,"suffix":"ppm","section":null,"hidden":false,"hero":false,"slider":null,"value":3200,"display":"3,200"},{"text":"salt_needed_grams = (target_salt_ppm - current_salt_ppm) * pool_volume_liters / 1000 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":60000,"display":"60,000"},{"text":"@hero salt_needed_kg = salt_needed_grams / 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":60,"display":"60"}]},{"id":"swimming-stroke-rate","title":"Swimming Stroke Rate","description":"Calculate swimming stroke rate.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.319Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"total strokes = 40","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"time seconds = 45","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"strokes per minute = (total strokes / time seconds) * 60","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":53.33333333333332,"display":"53.3333"}]},{"id":"system-of-equations-2x2","title":"System of Equations 2×2","description":"Solve a 2×2 linear system using Cramer's rule.","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.320Z"},"rows":[{"text":"# System: a1·x + b1·y = c1, a2·x + b2·y = c2","label":null,"prefix":null,"suffix":null,"section":"System: a1·x + b1·y = c1, a2·x + b2·y = c2","hero":false,"slider":null,"value":null,"display":null},{"text":"a1 = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"System: a1·x + b1·y = c1, a2·x + b2·y = c2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"b1 = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"System: a1·x + b1·y = c1, a2·x + b2·y = c2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"c1 = 8 // -100..100","label":null,"prefix":null,"suffix":null,"section":"System: a1·x + b1·y = c1, a2·x + b2·y = c2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":8,"display":"8"},{"text":"a2 = 4 // -100..100","label":null,"prefix":null,"suffix":null,"section":"System: a1·x + b1·y = c1, a2·x + b2·y = c2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":4,"display":"4"},{"text":"b2 = -1 // -100..100","label":null,"prefix":null,"suffix":null,"section":"System: a1·x + b1·y = c1, a2·x + b2·y = c2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":-1,"display":"-1"},{"text":"c2 = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"System: a1·x + b1·y = c1, a2·x + b2·y = c2","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"# Determinant","label":null,"prefix":null,"suffix":null,"section":"Determinant","hero":false,"slider":null,"value":null,"display":null},{"text":"det = a1 * b2 - a2 * b1 // @label(Determinant)","label":"Determinant","prefix":null,"suffix":null,"section":"Determinant","hidden":false,"hero":false,"slider":null,"value":-14,"display":"-14"},{"text":"# Solution (Cramer's rule)","label":null,"prefix":null,"suffix":null,"section":"Solution (Cramer's rule)","hero":false,"slider":null,"value":null,"display":null},{"text":"x = (c1 * b2 - c2 * b1) / det // @hero","label":null,"prefix":null,"suffix":null,"section":"Solution (Cramer's rule)","hidden":false,"hero":true,"slider":null,"value":1,"display":"1"},{"text":"y = (a1 * c2 - a2 * c1) / det // @hero","label":null,"prefix":null,"suffix":null,"section":"Solution (Cramer's rule)","hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"tangent-line","title":"Tangent Line","description":"Find the tangent line y = f(a) + f'(a)·(x − a) to f(x) = c·xⁿ at x = a.","category":"formulas","icon":"trending-up","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.320Z"},"rows":[{"text":"# Function: f(x) = c · x^n, evaluate tangent at x = a","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n, evaluate tangent at x = a","hero":false,"slider":null,"value":null,"display":null},{"text":"c = 1 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n, evaluate tangent at x = a","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":1,"display":"1"},{"text":"n = 2 // -10..10","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n, evaluate tangent at x = a","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":1},"value":2,"display":"2"},{"text":"a = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = c · x^n, evaluate tangent at x = a","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"# Tangent line slope and y-intercept","label":null,"prefix":null,"suffix":null,"section":"Tangent line slope and y-intercept","hero":false,"slider":null,"value":null,"display":null},{"text":"f_a = c * a^n // @label(f(a))","label":"f(a)","prefix":null,"suffix":null,"section":"Tangent line slope and y-intercept","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"slope = c * n * a^(n - 1) // @hero @label(Slope f'(a))","label":"Slope f'(a)","prefix":null,"suffix":null,"section":"Tangent line slope and y-intercept","hidden":false,"hero":true,"slider":null,"value":6,"display":"6"},{"text":"y_intercept = f_a - slope * a // @hero","label":null,"prefix":null,"suffix":null,"section":"Tangent line slope and y-intercept","hidden":false,"hero":true,"slider":null,"value":-9,"display":"-9"}]},{"id":"target-heart-rate-karvonen","title":"Target Heart Rate Karvonen","description":"Calculate target heart rate zones using the Karvonen formula.","category":"health","icon":"heart","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.320Z"},"rows":[{"text":"# Personal Stats","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"age = 30 // years 15..100","label":null,"prefix":null,"suffix":"years","section":"Personal Stats","hidden":false,"hero":false,"slider":{"min":15,"max":100,"step":1},"value":30,"display":"30"},{"text":"resting heart rate = 60 // bpm 40..100","label":null,"prefix":null,"suffix":"bpm","section":"Personal Stats","hidden":false,"hero":false,"slider":{"min":40,"max":100,"step":1},"value":60,"display":"60"},{"text":"intensity = 0.7 // 0.5..0.95","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hidden":false,"hero":false,"slider":{"min":0.5,"max":0.95,"step":0.005},"value":0.7,"display":"0.7"},{"text":"# Karvonen Formula","label":null,"prefix":null,"suffix":null,"section":"Karvonen Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"max heart rate = 220 - age","label":null,"prefix":null,"suffix":null,"section":"Karvonen Formula","hidden":false,"hero":false,"slider":null,"value":190,"display":"190"},{"text":"heart rate reserve = max heart rate - resting heart rate","label":null,"prefix":null,"suffix":null,"section":"Karvonen Formula","hidden":false,"hero":false,"slider":null,"value":130,"display":"130"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"target heart rate = (heart rate reserve * intensity) + resting heart rate // bpm @hero","label":null,"prefix":null,"suffix":"bpm","section":"Result","hidden":false,"hero":true,"slider":null,"value":151,"display":"151"},{"text":"# Zones","label":null,"prefix":null,"suffix":null,"section":"Zones","hero":false,"slider":null,"value":null,"display":null},{"text":"zone one = (heart rate reserve * 0.5) + resting heart rate","label":null,"prefix":null,"suffix":null,"section":"Zones","hidden":false,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"zone two = (heart rate reserve * 0.6) + resting heart rate","label":null,"prefix":null,"suffix":null,"section":"Zones","hidden":false,"hero":false,"slider":null,"value":138,"display":"138"},{"text":"zone three = (heart rate reserve * 0.7) + resting heart rate","label":null,"prefix":null,"suffix":null,"section":"Zones","hidden":false,"hero":false,"slider":null,"value":151,"display":"151"},{"text":"zone four = (heart rate reserve * 0.8) + resting heart rate","label":null,"prefix":null,"suffix":null,"section":"Zones","hidden":false,"hero":false,"slider":null,"value":164,"display":"164"},{"text":"zone five = (heart rate reserve * 0.9) + resting heart rate","label":null,"prefix":null,"suffix":null,"section":"Zones","hidden":false,"hero":false,"slider":null,"value":177,"display":"177"}]},{"id":"task-switching-efficiency-penalty","title":"Task Switching Efficiency Penalty","description":"Estimate total task time including context-switching penalties.","category":"productivity","icon":"clock","tags":["penalty"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.321Z"},"rows":[{"text":"number_of_tasks = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"base_task_time_minutes = 20 // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"penalty_per_switch_percent = 15 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"_total_base_time = number_of_tasks * base_task_time_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero total_time_with_penalties = total_base_time * (1 + (number_of_tasks - 1) * penalty_per_switch_percent / 100) // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":160,"display":"160"}]},{"id":"tax-bracket","title":"Tax Bracket","description":"Estimate your federal income tax and effective tax rate.","category":"finance","icon":"file-text","tags":["tax","income"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.321Z"},"rows":[{"text":"# Income","label":null,"prefix":null,"suffix":null,"section":"Income","hero":false,"slider":null,"value":null,"display":null},{"text":"$gross income = 85000 // 10k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":{"min":10000,"max":500000,"step":1000},"value":85000,"display":"$85,000.00"},{"text":"$standard deduction = 14600 // 0..30k by 100","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":{"min":0,"max":30000,"step":100},"value":14600,"display":"$14,600.00"},{"text":"# Taxable Income","label":null,"prefix":null,"suffix":null,"section":"Taxable Income","hero":false,"slider":null,"value":null,"display":null},{"text":"$taxable income = gross income - standard deduction","label":null,"prefix":"$","suffix":null,"section":"Taxable Income","hidden":false,"hero":false,"slider":null,"value":70400,"display":"$70,400.00"},{"text":"# Federal Tax Estimate (2024 Single Filer)","label":null,"prefix":null,"suffix":null,"section":"Federal Tax Estimate (2024 Single Filer)","hero":false,"slider":null,"value":null,"display":null},{"text":"_bracket_1 = min(taxable income, 11600) * 0.10","label":null,"prefix":null,"suffix":null,"section":"Federal Tax Estimate (2024 Single Filer)","hidden":true,"hero":false,"slider":null,"value":1160,"display":"1,160"},{"text":"_bracket_2 = max(0, min(taxable income, 47150) - 11600) * 0.12","label":null,"prefix":null,"suffix":null,"section":"Federal Tax Estimate (2024 Single Filer)","hidden":true,"hero":false,"slider":null,"value":4266,"display":"4,266"},{"text":"_bracket_3 = max(0, min(taxable income, 100525) - 47150) * 0.22","label":null,"prefix":null,"suffix":null,"section":"Federal Tax Estimate (2024 Single Filer)","hidden":true,"hero":false,"slider":null,"value":5115,"display":"5,115"},{"text":"_bracket_4 = max(0, min(taxable income, 191950) - 100525) * 0.24","label":null,"prefix":null,"suffix":null,"section":"Federal Tax Estimate (2024 Single Filer)","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_bracket_5 = max(0, min(taxable income, 243725) - 191950) * 0.32","label":null,"prefix":null,"suffix":null,"section":"Federal Tax Estimate (2024 Single Filer)","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_bracket_6 = max(0, min(taxable income, 609350) - 243725) * 0.35","label":null,"prefix":null,"suffix":null,"section":"Federal Tax Estimate (2024 Single Filer)","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated federal tax = round((bracket_1 + bracket_2 + bracket_3 + bracket_4 + bracket_5 + bracket_6) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":10541,"display":"$10,541.00"},{"text":"effective rate = round(estimated federal tax / gross income * 100 * 10) / 10 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":12.4,"display":"12.4"},{"text":"$take home = round((gross income - estimated federal tax) * 100) / 100 // @label(Take Home (before state tax))","label":"Take Home (before state tax)","prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":74459,"display":"$74,459.00"},{"text":"$monthly take home = round(take home / 12 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":6204.92,"display":"$6,204.92"}]},{"id":"tea-steep-time-scaling","title":"Tea Steep Time Scaling","description":"Adjust tea steep time when scaling leaf quantity, with guidelines per tea type.","category":"productivity","icon":"coffee","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.321Z"},"rows":[{"text":"# Steep Parameters","label":null,"prefix":null,"suffix":null,"section":"Steep Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"standard steep time = 180 // seconds 60..600","label":null,"prefix":null,"suffix":"seconds","section":"Steep Parameters","hidden":false,"hero":false,"slider":{"min":60,"max":600,"step":1},"value":180,"display":"180"},{"text":"leaf quantity = 2 // grams 1..10","label":null,"prefix":null,"suffix":"grams","section":"Steep Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":2,"display":"2"},{"text":"water volume = 250 // milliliters 100..1k","label":null,"prefix":null,"suffix":"milliliters","section":"Steep Parameters","hidden":false,"hero":false,"slider":{"min":100,"max":1000,"step":1},"value":250,"display":"250"},{"text":"# Adjustment","label":null,"prefix":null,"suffix":null,"section":"Adjustment","hero":false,"slider":null,"value":null,"display":null},{"text":"# Scaling steep time slightly with quantity (non-linear)","label":null,"prefix":null,"suffix":null,"section":"Scaling steep time slightly with quantity (non-linear)","hero":false,"slider":null,"value":null,"display":null},{"text":"scaled steep time = standard steep time * (leaf quantity / 2)^0.2 // seconds @hero","label":null,"prefix":null,"suffix":"seconds","section":"Scaling steep time slightly with quantity (non-linear)","hidden":false,"hero":true,"slider":null,"value":180,"display":"180"},{"text":"# Guidelines","label":null,"prefix":null,"suffix":null,"section":"Guidelines","hero":false,"slider":null,"value":null,"display":null},{"text":"green tea = 120 // 175 F","label":null,"prefix":null,"suffix":"175 F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"black tea = 240 // 212 F","label":null,"prefix":null,"suffix":"212 F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"herbal tea = 300 // 212 F","label":null,"prefix":null,"suffix":"212 F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"white tea = 180 // 185 F","label":null,"prefix":null,"suffix":"185 F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":180,"display":"180"}]},{"id":"tectonic-plate-motion","title":"Tectonic Plate Motion","description":"Calculate total tectonic plate displacement in kilometers over millions of years.","category":"science","icon":"globe","tags":["motion"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.321Z"},"rows":[{"text":"velocity_centimeters_per_year = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"time_years = 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"total_displacement_kilometers = (velocity_centimeters_per_year * time_years) / 100000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"telescope-f-number","title":"Telescope F Number","description":"Calculate telescope f-number (focal ratio) from focal length and aperture.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.322Z"},"rows":[{"text":"focal_length_millimeters = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"aperture_millimeters = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero f_number = focal_length_millimeters / aperture_millimeters","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"telescope-magnification","title":"Telescope Magnification","description":"Calculate telescope magnification, exit pupil, and useful max from focal lengths.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.322Z"},"rows":[{"text":"# Telescope Stats","label":null,"prefix":null,"suffix":null,"section":"Telescope Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"telescope focal length = 1000 // mm 400..4k","label":null,"prefix":null,"suffix":"mm","section":"Telescope Stats","hidden":false,"hero":false,"slider":{"min":400,"max":4000,"step":50},"value":1000,"display":"1,000"},{"text":"eyepiece focal length = 20 // mm 4..40","label":null,"prefix":null,"suffix":"mm","section":"Telescope Stats","hidden":false,"hero":false,"slider":{"min":4,"max":40,"step":1},"value":20,"display":"20"},{"text":"barlow lens factor = 1.0 // 1.0 for none, 2.0 or 3.0","label":null,"prefix":null,"suffix":"1.0 for none, 2.0 or 3.0","section":"Telescope Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"magnification = (telescope focal length / eyepiece focal length) * barlow lens factor // x @hero","label":null,"prefix":null,"suffix":"x","section":"Result","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"},{"text":"# Exit Pupil","label":null,"prefix":null,"suffix":null,"section":"Exit Pupil","hero":false,"slider":null,"value":null,"display":null},{"text":"aperture = 100 // mm 50..500","label":null,"prefix":null,"suffix":"mm","section":"Exit Pupil","hidden":false,"hero":false,"slider":{"min":50,"max":500,"step":1},"value":100,"display":"100"},{"text":"exit pupil = aperture / magnification // mm","label":null,"prefix":null,"suffix":"mm","section":"Exit Pupil","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"focal ratio = telescope focal length / aperture // f/n","label":null,"prefix":null,"suffix":"f/n","section":"Exit Pupil","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"useful max magnification = aperture * 2 // rule of thumb","label":null,"prefix":null,"suffix":"rule of thumb","section":"Exit Pupil","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"}]},{"id":"temperature-converter","title":"Temperature Converter","description":"Convert between Fahrenheit, Celsius, and Kelvin with common benchmarks.","category":"conversion","icon":"thermometer","tags":["temperature"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.322Z"},"rows":[{"text":"# Temperature","label":null,"prefix":null,"suffix":null,"section":"Temperature","hero":false,"slider":null,"value":null,"display":null},{"text":"fahrenheit = 72 // °F -40..500","label":null,"prefix":null,"suffix":"°F","section":"Temperature","hidden":false,"hero":false,"slider":{"min":-40,"max":500,"step":1},"value":72,"display":"72"},{"text":"celsius = (fahrenheit - 32) * 5 / 9 // °C @hero","label":null,"prefix":null,"suffix":"°C","section":"Temperature","hidden":false,"hero":true,"slider":null,"value":22.22222222222222,"display":"22.2222"},{"text":"kelvin = celsius + 273.15 // K","label":null,"prefix":null,"suffix":"K","section":"Temperature","hidden":false,"hero":false,"slider":null,"value":295.3722222222222,"display":"295.3722"},{"text":"# Common Benchmarks","label":null,"prefix":null,"suffix":null,"section":"Common Benchmarks","hero":false,"slider":null,"value":null,"display":null},{"text":"body temperature F = 98.6 // °F","label":null,"prefix":null,"suffix":"°F","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":98.6,"display":"98.6"},{"text":"body temperature C = (body_temperature_F - 32) * 5 / 9 // °C","label":null,"prefix":null,"suffix":"°C","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":37,"display":"37"},{"text":"water freezes C = 0 // °C","label":null,"prefix":null,"suffix":"°C","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"water freezes F = water_freezes_C * 9 / 5 + 32 // °F","label":null,"prefix":null,"suffix":"°F","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"water boils C = 100 // °C","label":null,"prefix":null,"suffix":"°C","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"water boils F = water_boils_C * 9 / 5 + 32 // °F","label":null,"prefix":null,"suffix":"°F","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":212,"display":"212"}]},{"id":"tenant-turnover-cost","title":"Tenant Turnover Cost","description":"Estimate the total cost of cleaning, repairs, and lost rent.","category":"real-estate","icon":"users","tags":["turnover"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.322Z"},"rows":[{"text":"cleaningCost = 200 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"repairCosts = 500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"marketingCost = 100 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"uncollectedRent = 1200 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"totalTurnoverCost = cleaningCost + repairCosts + marketingCost + uncollectedRent","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2000,"display":"2,000"}]},{"id":"tennis-break-point-conversion","title":"Tennis Break Point Conversion","description":"Calculate break point conversion rate.","category":"health","icon":"activity","tags":["sports","tennis"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.323Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"break points converted = 4","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"total break points = 10","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"break point conversion percentage = (break points converted / total break points) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"tennis-first-serve-percentage","title":"Tennis First Serve Percentage","description":"Calculate first serve percentage.","category":"health","icon":"activity","tags":["sports","tennis"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.323Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"first serves in = 45","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"total first serves = 70","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"first serve percentage = (first serves in / total first serves) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":64.28571428571429,"display":"64.2857"}]},{"id":"tennis-ranking-points","title":"Tennis Ranking Points","description":"Calculate new ATP/WTA ranking points after a tournament with points to defend.","category":"other","icon":"calculator","tags":["tennis","points"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.323Z"},"rows":[{"text":"# Tournament","label":null,"prefix":null,"suffix":null,"section":"Tournament","hero":false,"slider":null,"value":null,"display":null},{"text":"current points = 4500","label":null,"prefix":null,"suffix":null,"section":"Tournament","hidden":false,"hero":false,"slider":null,"value":4500,"display":"4,500"},{"text":"points to defend = 360","label":null,"prefix":null,"suffix":null,"section":"Tournament","hidden":false,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"points earned = 720 // reach semifinals","label":null,"prefix":null,"suffix":"reach semifinals","section":"Tournament","hidden":false,"hero":false,"slider":null,"value":720,"display":"720"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"new total points = current points - points to defend + points earned // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4860,"display":"4,860"},{"text":"net change = points earned - points to defend // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":360,"display":"360"}]},{"id":"tennis-serve-speed-converter","title":"Tennis Serve Speed Converter","description":"Convert tennis serve speed between units.","category":"conversion","icon":"activity","tags":["sports","tennis"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.323Z"},"rows":[{"text":"# Speed Settings","label":null,"prefix":null,"suffix":null,"section":"Speed Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"speed miles per hour = 120","label":null,"prefix":null,"suffix":null,"section":"Speed Settings","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"speed kilometers per hour = speed miles per hour * 1.60934 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":193.1208,"display":"193.1208"},{"text":"speed meters per second = speed miles per hour * 0.44704 // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":53.6448,"display":"53.6448"}]},{"id":"terminal-velocity-skydiver","title":"Terminal Velocity Skydiver","description":"Calculate skydiver terminal velocity in km/h from mass, drag, and air density.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.324Z"},"rows":[{"text":"skydiver_mass_kilograms = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"skydiver_drag_coefficient = 1.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"skydiver_area_square_meters = 0.7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"air_density_at_altitude = 1.225","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"gravity_constant = 9.81","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"terminal_velocity_meters_per_second = ((2 * skydiver_mass_kilograms * gravity_constant) / (air_density_at_altitude * skydiver_area_square_meters * skydiver_drag_coefficient)) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":42.783610387439914,"display":"42.7836"},{"text":"terminal_velocity_kilometers_per_hour = terminal_velocity_meters_per_second * 3.6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":154.0209973947837,"display":"154.021"}]},{"id":"thermal-expansion-linear","title":"Thermal Expansion Linear","description":"Calculate length change of materials due to temperature.","category":"engineering","icon":"thermometer","tags":["engineering","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.324Z"},"rows":[{"text":"initial_length_meters = 10 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"coefficient_thermal_expansion = 0.000012 // 1/C (steel)","label":null,"prefix":null,"suffix":"1/C (steel)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.000012,"display":"0.000012"},{"text":"temperature_change_celsius = 50 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"@hero length_change_meters = initial_length_meters * coefficient_thermal_expansion * temperature_change_celsius // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":true,"slider":null,"value":0.006,"display":"0.006"},{"text":"final_length_meters = initial_length_meters + length_change_meters // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":10.006,"display":"10.006"}]},{"id":"third-party-logistics-cost","title":"Third-Party Logistics Cost","description":"Calculate total costs when outsourcing to a 3PL provider.","category":"business","icon":"external-link","tags":["logistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.324Z"},"rows":[{"text":"handlingFeePerUnit = 0.50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"unitsProcessed = 5000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"monthlyManagementFee = 1000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"total3PLCost = (handlingFeePerUnit * unitsProcessed) + monthlyManagementFee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3500,"display":"3,500"}]},{"id":"tidal-power-generation","title":"Tidal Power Generation","description":"Calculate power output from tidal stream turbines.","category":"engineering","icon":"waves","tags":["engineering"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.324Z"},"rows":[{"text":"blade_radius_meters = 10 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"water_velocity_m_per_s = 2.5 // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"water_density_kg_m3 = 1025 // kg/m3 (saltwater)","label":null,"prefix":null,"suffix":"kg/m3 (saltwater)","section":null,"hidden":false,"hero":false,"slider":null,"value":1025,"display":"1,025"},{"text":"efficiency = 35 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"swept_area = 3.14159 * blade_radius_meters * blade_radius_meters // m2","label":null,"prefix":null,"suffix":"m2","section":null,"hidden":false,"hero":false,"slider":null,"value":314.159,"display":"314.159"},{"text":"@hero power_output_kw = 0.5 * swept_area * water_density_kg_m3 * (water_velocity_m_per_s^3) * (efficiency / 100) / 1000 // kW","label":null,"prefix":null,"suffix":"kW","section":null,"hidden":false,"hero":true,"slider":null,"value":880.504228515625,"display":"880.5042"}]},{"id":"tides-depth-rule-of-twelfths","title":"Tides Depth Rule of Twelfths","description":"Calculate tidal depth change using the rule of twelfths.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.324Z"},"rows":[{"text":"tide_range_meters = 4.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"hours_since_high_tide = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"tide_factor = (1 - cos(pi * hours_since_high_tide / 6)) / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0001878915702592,"display":"0.0001879"},{"text":"depth_change = tide_range_meters * tide_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.0007515662810368,"display":"0.0007516"}]},{"id":"tiktok-creator-fund-estimate","title":"Tiktok Creator Fund Estimate","description":"Estimate TikTok Creator Fund earnings from total views.","category":"other","icon":"calculator","tags":["fund"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.325Z"},"rows":[{"text":"total_tiktok_views = 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"estimated_payout_per_thousand_views = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"estimated_fund_earnings = (total_tiktok_views / 1000) * estimated_payout_per_thousand_views","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"tile-calculator","title":"Tile Calculator","description":"Figure out how many tiles you need for flooring with waste factor and cost estimate.","category":"construction","icon":"grid-2x2","tags":["waste"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.325Z"},"rows":[{"text":"# Floor Dimensions","label":null,"prefix":null,"suffix":null,"section":"Floor Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"floor length = 12 // ft 1..50","label":null,"prefix":null,"suffix":"ft","section":"Floor Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":12,"display":"12"},{"text":"floor width = 10 // ft 1..50","label":null,"prefix":null,"suffix":"ft","section":"Floor Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":10,"display":"10"},{"text":"floor area = floor_length * floor_width // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":"Floor Dimensions","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"# Tile Size","label":null,"prefix":null,"suffix":null,"section":"Tile Size","hero":false,"slider":null,"value":null,"display":null},{"text":"tile length = 12 // in 1..48","label":null,"prefix":null,"suffix":"in","section":"Tile Size","hidden":false,"hero":false,"slider":{"min":1,"max":48,"step":1},"value":12,"display":"12"},{"text":"tile width = 12 // in 1..48","label":null,"prefix":null,"suffix":"in","section":"Tile Size","hidden":false,"hero":false,"slider":{"min":1,"max":48,"step":1},"value":12,"display":"12"},{"text":"tile area = (tile_length * tile_width) / 144 // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":"Tile Size","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"tiles exact = floor_area / tile_area","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"waste factor = 10 // % 0..25","label":null,"prefix":null,"suffix":"%","section":"Results","hidden":false,"hero":false,"slider":{"min":0,"max":25,"step":1},"value":10,"display":"10"},{"text":"tiles to buy with waste = roundup(tiles_exact * (1 + waste_factor / 100)) // @hero","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":132,"display":"132"},{"text":"# Cost","label":null,"prefix":null,"suffix":null,"section":"Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$price per tile = 3.50 // 0.5..25 by 0.25","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":{"min":0.5,"max":25,"step":0.25},"value":3.5,"display":"$3.50"},{"text":"$total tile cost = tiles_to_buy_with_waste * price_per_tile","label":null,"prefix":"$","suffix":null,"section":"Cost","hidden":false,"hero":false,"slider":null,"value":462,"display":"$462.00"},{"text":"$cost per square foot = total_tile_cost / floor_area // /sq ft","label":null,"prefix":"$","suffix":"/sq ft","section":"Cost","hidden":false,"hero":false,"slider":null,"value":3.85,"display":"$3.85"}]},{"id":"tile-grout-volume","title":"Tile Grout Volume","description":"Calculate liters of grout needed for a tiled area.","category":"construction","icon":"layout","tags":["construction"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.325Z"},"rows":[{"text":"tile_length_mm = 300 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"tile_width_mm = 300 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"tile_thickness_mm = 8 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"joint_width_mm = 3 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"area_square_meters = 10 // m2","label":null,"prefix":null,"suffix":"m2","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"volume_per_tile_mm3 = (tile_length_mm + tile_width_mm) * tile_thickness_mm * joint_width_mm // mm3","label":null,"prefix":null,"suffix":"mm3","section":null,"hidden":false,"hero":false,"slider":null,"value":14400,"display":"14,400"},{"text":"number_of_tiles = area_square_meters * 1000000 / (tile_length_mm * tile_width_mm)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":111.11111111111111,"display":"111.1111"},{"text":"@hero total_grout_volume_liters = (volume_per_tile_mm3 * number_of_tiles) / 1000000 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":1.6,"display":"1.6"}]},{"id":"time-converter","title":"Time Converter","description":"Convert between hours, minutes, seconds, and days with fun facts.","category":"conversion","icon":"clock","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.325Z"},"rows":[{"text":"# Time Input","label":null,"prefix":null,"suffix":null,"section":"Time Input","hero":false,"slider":null,"value":null,"display":null},{"text":"hours = 2.5 // hrs 0.1..168","label":null,"prefix":null,"suffix":"hrs","section":"Time Input","hidden":false,"hero":false,"slider":{"min":0.1,"max":168,"step":2},"value":2.5,"display":"2.5"},{"text":"# Larger Units","label":null,"prefix":null,"suffix":null,"section":"Larger Units","hero":false,"slider":null,"value":null,"display":null},{"text":"days = hours / 24","label":null,"prefix":null,"suffix":null,"section":"Larger Units","hidden":false,"hero":false,"slider":null,"value":0.10416666666666667,"display":"0.1042"},{"text":"weeks = hours / 168","label":null,"prefix":null,"suffix":null,"section":"Larger Units","hidden":false,"hero":false,"slider":null,"value":0.01488095238095238,"display":"0.0149"},{"text":"months approx = hours / 730","label":null,"prefix":null,"suffix":null,"section":"Larger Units","hidden":false,"hero":false,"slider":null,"value":0.003424657534246575,"display":"0.003425"},{"text":"# Smaller Units","label":null,"prefix":null,"suffix":null,"section":"Smaller Units","hero":false,"slider":null,"value":null,"display":null},{"text":"minutes = hours * 60 // min @hero","label":null,"prefix":null,"suffix":"min","section":"Smaller Units","hidden":false,"hero":true,"slider":null,"value":150,"display":"150"},{"text":"seconds = hours * 3600 // sec","label":null,"prefix":null,"suffix":"sec","section":"Smaller Units","hidden":false,"hero":false,"slider":null,"value":9000,"display":"9,000"},{"text":"milliseconds = seconds * 1000 // ms","label":null,"prefix":null,"suffix":"ms","section":"Smaller Units","hidden":false,"hero":false,"slider":null,"value":9000000,"display":"9,000,000"},{"text":"# Fun Facts","label":null,"prefix":null,"suffix":null,"section":"Fun Facts","hero":false,"slider":null,"value":null,"display":null},{"text":"heartbeats at 72 bpm = minutes * 72","label":null,"prefix":null,"suffix":null,"section":"Fun Facts","hidden":false,"hero":false,"slider":null,"value":10800,"display":"10,800"},{"text":"breaths at 15 per min = minutes * 15","label":null,"prefix":null,"suffix":null,"section":"Fun Facts","hidden":false,"hero":false,"slider":null,"value":2250,"display":"2,250"},{"text":"earth rotation = hours / 24 * 360 // °","label":null,"prefix":null,"suffix":"°","section":"Fun Facts","hidden":false,"hero":false,"slider":null,"value":37.50000000000001,"display":"37.5"}]},{"id":"time-lapse-video-duration","title":"Time Lapse Video Duration","description":"Calculate time-lapse video duration in seconds from photo count and frame rate.","category":"math","icon":"play","tags":["video","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.326Z"},"rows":[{"text":"total_photos = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"frame_rate_fps = 24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"@hero video_duration_seconds = total_photos / frame_rate_fps","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20.833333333333332,"display":"20.8333"}]},{"id":"time-scale","title":"Time Scale","description":"Convert any number of seconds to years — billion-to-trillion scale.","category":"conversion","icon":"clock","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.326Z"},"rows":[{"text":"# Duration","label":null,"prefix":null,"suffix":null,"section":"Duration","hero":false,"slider":null,"value":null,"display":null},{"text":"seconds = 1000000000 // s 1..1e15 by 1","label":null,"prefix":null,"suffix":"s","section":"Duration","hidden":false,"hero":false,"slider":{"min":1,"max":1000000000000000,"step":1},"value":1000000000,"display":"1,000,000,000"},{"text":"# In Common Units","label":null,"prefix":null,"suffix":null,"section":"In Common Units","hero":false,"slider":null,"value":null,"display":null},{"text":"minutes = seconds / 60","label":null,"prefix":null,"suffix":null,"section":"In Common Units","hidden":false,"hero":false,"slider":null,"value":16666666.666666666,"display":"16,666,666.6667"},{"text":"hours = seconds / 3600","label":null,"prefix":null,"suffix":null,"section":"In Common Units","hidden":false,"hero":false,"slider":null,"value":277777.77777777775,"display":"277,777.7778"},{"text":"days = seconds / 86400","label":null,"prefix":null,"suffix":null,"section":"In Common Units","hidden":false,"hero":false,"slider":null,"value":11574.074074074075,"display":"11,574.0741"},{"text":"years julian = round(seconds / 31557600, 1) // years @hero","label":null,"prefix":null,"suffix":"years","section":"In Common Units","hidden":false,"hero":true,"slider":null,"value":31.7,"display":"31.7"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"millennia = round(years_julian / 1000, 2)","label":null,"prefix":null,"suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"# Reference: Powers of Ten","label":null,"prefix":null,"suffix":null,"section":"Reference: Powers of Ten","hero":false,"slider":null,"value":null,"display":null},{"text":"million seconds in years = round(1000000 / 31557600, 3)","label":null,"prefix":null,"suffix":null,"section":"Reference: Powers of Ten","hidden":false,"hero":false,"slider":null,"value":0.032,"display":"0.032"},{"text":"billion seconds in years = round(1000000000 / 31557600, 1)","label":null,"prefix":null,"suffix":null,"section":"Reference: Powers of Ten","hidden":false,"hero":false,"slider":null,"value":31.7,"display":"31.7"},{"text":"trillion seconds in years = round(1000000000000 / 31557600, 0)","label":null,"prefix":null,"suffix":null,"section":"Reference: Powers of Ten","hidden":false,"hero":false,"slider":null,"value":31688,"display":"31,688"}]},{"id":"timezone-meeting-hour-overlap","title":"Timezone Meeting Hour Overlap","description":"Calculate working hour overlap between two time zones for meeting scheduling.","category":"productivity","icon":"clock","tags":["meeting"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.326Z"},"rows":[{"text":"start_hour_zone_a = 9 // 9 AM","label":null,"prefix":null,"suffix":"9 AM","section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"end_hour_zone_a = 17 // 5 PM","label":null,"prefix":null,"suffix":"5 PM","section":null,"hidden":false,"hero":false,"slider":null,"value":17,"display":"17"},{"text":"timezone_offset_a_to_b = 5 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero start_hour_zone_b = (start_hour_zone_a + timezone_offset_a_to_b) % 24 // hour","label":null,"prefix":null,"suffix":"hour","section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null},{"text":"@hero end_hour_zone_b = (end_hour_zone_a + timezone_offset_a_to_b) % 24 // hour","label":null,"prefix":null,"suffix":"hour","section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"tip-calculator","title":"Tip Calculator","description":"Calculate tips at any percentage and split the bill evenly between friends.","category":"everyday","icon":"receipt","tags":["everyday"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.326Z"},"rows":[{"text":"# Bill","label":null,"prefix":null,"suffix":null,"section":"Bill","hero":false,"slider":null,"value":null,"display":null},{"text":"bill amount = $85.50 // 1..1k","label":null,"prefix":"$","suffix":null,"section":"Bill","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":85.5,"display":"$85.50"},{"text":"tip percentage = 20 // % 0..50","label":null,"prefix":null,"suffix":"%","section":"Bill","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":20,"display":"20"},{"text":"split between = 4 // 1..20","label":null,"prefix":null,"suffix":null,"section":"Bill","hidden":false,"hero":false,"slider":{"min":1,"max":20,"step":0.2},"value":4,"display":"4"},{"text":"# Tip","label":null,"prefix":null,"suffix":null,"section":"Tip","hero":false,"slider":null,"value":null,"display":null},{"text":"tip amount = $bill_amount * tip_percentage / 100","label":null,"prefix":"$","suffix":null,"section":"Tip","hidden":false,"hero":false,"slider":null,"value":17.1,"display":"$17.10"},{"text":"total with tip = $bill_amount + tip_amount // @hero","label":null,"prefix":"$","suffix":null,"section":"Tip","hidden":false,"hero":true,"slider":null,"value":102.6,"display":"$102.60"},{"text":"# Per Person","label":null,"prefix":null,"suffix":null,"section":"Per Person","hero":false,"slider":null,"value":null,"display":null},{"text":"each person pays = $total_with_tip / split_between","label":null,"prefix":"$","suffix":null,"section":"Per Person","hidden":false,"hero":false,"slider":null,"value":25.65,"display":"$25.65"},{"text":"each persons tip = $tip_amount / split_between","label":null,"prefix":"$","suffix":null,"section":"Per Person","hidden":false,"hero":false,"slider":null,"value":4.275,"display":"$4.28"},{"text":"# Quick Tips","label":null,"prefix":null,"suffix":null,"section":"Quick Tips","hero":false,"slider":null,"value":null,"display":null},{"text":"fifteen pct tip = $bill_amount * 0.15 // @label(15% Tip)","label":"15% Tip","prefix":"$","suffix":null,"section":"Quick Tips","hidden":false,"hero":false,"slider":null,"value":12.825,"display":"$12.83"},{"text":"eighteen pct tip = $bill_amount * 0.18 // @label(18% Tip)","label":"18% Tip","prefix":"$","suffix":null,"section":"Quick Tips","hidden":false,"hero":false,"slider":null,"value":15.39,"display":"$15.39"},{"text":"twenty pct tip = $bill_amount * 0.20 // @label(20% Tip)","label":"20% Tip","prefix":"$","suffix":null,"section":"Quick Tips","hidden":false,"hero":false,"slider":null,"value":17.1,"display":"$17.10"},{"text":"twenty five pct tip = $bill_amount * 0.25 // @label(25% Tip)","label":"25% Tip","prefix":"$","suffix":null,"section":"Quick Tips","hidden":false,"hero":false,"slider":null,"value":21.375,"display":"$21.38"}]},{"id":"tire-diameter-from-size","title":"Tire Diameter From Size","description":"Calculate tire diameter from standard tire size.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.327Z"},"rows":[{"text":"# Tire Size","label":null,"prefix":null,"suffix":null,"section":"Tire Size","hero":false,"slider":null,"value":null,"display":null},{"text":"width millimeters = 245","label":null,"prefix":null,"suffix":null,"section":"Tire Size","hidden":false,"hero":false,"slider":null,"value":245,"display":"245"},{"text":"aspect ratio = 40","label":null,"prefix":null,"suffix":null,"section":"Tire Size","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"wheel diameter inches = 18","label":null,"prefix":null,"suffix":null,"section":"Tire Size","hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_sidewall_height_millimeters = width millimeters * (aspect ratio / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":98,"display":"98"},{"text":"_sidewall_height_inches = sidewall_height_millimeters / 25.4","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":3.858267716535433,"display":"3.8583"},{"text":"total diameter inches = (sidewall_height_inches * 2) + wheel diameter inches","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":25.716535433070863,"display":"25.7165"}]},{"id":"toothpaste-tube-usage","title":"Toothpaste Tube Usage","description":"Calculate how many days a toothpaste tube lasts at your usage rate.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.327Z"},"rows":[{"text":"tube_volume_ml = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"amount_per_brush_ml = 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"brushes_per_day = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"days_remaining = tube_volume_ml / (amount_per_brush_ml * brushes_per_day)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"torque-on-rotating-object","title":"Torque On Rotating Object","description":"Calculate net torque from moment of inertia and angular acceleration.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.327Z"},"rows":[{"text":"moment_of_inertia = 2.5 // kg*m^2","label":null,"prefix":null,"suffix":"kg*m^2","section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"angular_acceleration = 4 // rad/s^2","label":null,"prefix":null,"suffix":"rad/s^2","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"@hero net_torque = moment_of_inertia * angular_acceleration // Newton-meters","label":null,"prefix":null,"suffix":"Newton-meters","section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"torque-to-horsepower-converter","title":"Torque To Horsepower Converter","description":"Convert torque to horsepower at a given RPM.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.327Z"},"rows":[{"text":"# Specs","label":null,"prefix":null,"suffix":null,"section":"Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"torque foot pounds = 300","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"rpm = 5252","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":5252,"display":"5,252"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"horsepower = (torque foot pounds * rpm) / 5252","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":300,"display":"300"}]},{"id":"torque-wrench-conversion","title":"Torque Wrench Conversion","description":"Convert torque between pound-feet, newton-meters, pound-inches, and kg-meters.","category":"business","icon":"wrench","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.328Z"},"rows":[{"text":"# Input Value","label":null,"prefix":null,"suffix":null,"section":"Input Value","hero":false,"slider":null,"value":null,"display":null},{"text":"target torque = 100 // lb-ft 1..1000","label":null,"prefix":null,"suffix":"lb-ft","section":"Input Value","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":100,"display":"100"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"newton meters = target torque * 1.35582 // nm @hero","label":null,"prefix":null,"suffix":"nm","section":"Conversions","hidden":false,"hero":true,"slider":null,"value":135.582,"display":"135.582"},{"text":"pound inches = target torque * 12","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"kilogram meters = target torque * 0.138255","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":13.8255,"display":"13.8255"},{"text":"# Reference","label":null,"prefix":null,"suffix":null,"section":"Reference","hero":false,"slider":null,"value":null,"display":null},{"text":"one lb ft = 1.35582 // nm","label":null,"prefix":null,"suffix":"nm","section":"Reference","hidden":false,"hero":false,"slider":null,"value":1.35582,"display":"1.3558"},{"text":"one nm = 0.73756 // lb-ft","label":null,"prefix":null,"suffix":"lb-ft","section":"Reference","hidden":false,"hero":false,"slider":null,"value":0.73756,"display":"0.7376"},{"text":"one kg m = 9.80665 // nm","label":null,"prefix":null,"suffix":"nm","section":"Reference","hidden":false,"hero":false,"slider":null,"value":9.80665,"display":"9.8067"}]},{"id":"torsional-stress-shaft","title":"Torsional Stress Shaft","description":"Calculate shear stress in a shaft under torque.","category":"engineering","icon":"settings","tags":["engineering","mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.328Z"},"rows":[{"text":"torque_lb_in = 5000 // lb-in","label":null,"prefix":null,"suffix":"lb-in","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"shaft_diameter_inches = 1.5 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"polar_moment_of_inertia = (3.14159 * (shaft_diameter_inches^4)) / 32","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.49700935546875,"display":"0.497"},{"text":"@hero max_shear_stress_psi = (torque_lb_in * (shaft_diameter_inches / 2)) / polar_moment_of_inertia // psi","label":null,"prefix":null,"suffix":"psi","section":null,"hidden":false,"hero":true,"slider":null,"value":7545.129601158555,"display":"7,545.1296"}]},{"id":"torus-volume","title":"Torus Volume","description":"Find the volume of a torus (donut shape): V = 2π² × R × r².","category":"formulas","icon":"circle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.328Z"},"rows":[{"text":"# Torus radii","label":null,"prefix":null,"suffix":null,"section":"Torus radii","hero":false,"slider":null,"value":null,"display":null},{"text":"major_radius = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Torus radii","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"minor_radius = 3 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Torus radii","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":3,"display":"3"},{"text":"# Volume","label":null,"prefix":null,"suffix":null,"section":"Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"volume = 2 * pi^2 * major_radius * minor_radius^2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":true,"slider":null,"value":1776.5287921960844,"display":"1,776.5288"},{"text":"surface_area = 4 * pi^2 * major_radius * minor_radius","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":false,"slider":null,"value":1184.352528130723,"display":"1,184.3525"}]},{"id":"tower-defense-dps","title":"Tower Defense DPS","description":"Calculate damage per second for a tower.","category":"math","icon":"shield","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.328Z"},"rows":[{"text":"# Tower Settings","label":null,"prefix":null,"suffix":null,"section":"Tower Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"damage per hit = 45","label":null,"prefix":null,"suffix":null,"section":"Tower Settings","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"attacks per second = 1.5","label":null,"prefix":null,"suffix":null,"section":"Tower Settings","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"critical hit chance percent = 10 // %","label":null,"prefix":null,"suffix":"%","section":"Tower Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"critical hit multiplier = 2.0","label":null,"prefix":null,"suffix":null,"section":"Tower Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_base_dps = damage per hit * attacks per second","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":67.5,"display":"67.5"},{"text":"_crit_bonus = base_dps * (critical hit chance percent / 100) * (critical hit multiplier - 1)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":6.75,"display":"6.75"},{"text":"total dps = base_dps + crit_bonus","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":74.25,"display":"74.25"}]},{"id":"towing-capacity-calculator","title":"Towing Capacity Calculator","description":"Calculate remaining towing capacity.","category":"engineering","icon":"settings","tags":["automotive","truck"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.329Z"},"rows":[{"text":"# Weight Stats","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"gross combined weight rating = 15000","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"vehicle weight = 6000","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"trailer weight = 5000","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"remaining capacity = gross combined weight rating - (vehicle weight + trailer weight)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4000,"display":"4,000"}]},{"id":"tracking-error-fund","title":"Tracking Error Fund","description":"Calculate tracking error between a portfolio and its benchmark.","category":"other","icon":"calculator","tags":["fund"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.329Z"},"rows":[{"text":"portfolio_standard_deviation = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"benchmark_standard_deviation = 0.12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"correlation = 0.95","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.95,"display":"0.95"},{"text":"tracking_error = (portfolio_standard_deviation**2 + benchmark_standard_deviation**2 - 2 * correlation * portfolio_standard_deviation * benchmark_standard_deviation)**0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.05196152422706632,"display":"0.052"}]},{"id":"trade-secret-protection-score","title":"Trade Secret Score","description":"Assess the strength of your company's trade secret protections.","category":"other","icon":"key","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.329Z"},"rows":[{"text":"ndaUsageRate = 100 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"accessControlStrictness = 8 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"employeeTrainingScore = 7 // scale 1-10","label":null,"prefix":null,"suffix":"scale 1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"protectionScore = (ndaUsageRate / 10 + accessControlStrictness + employeeTrainingScore) / 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8.333333333333334,"display":"8.3333"}]},{"id":"trademark-renewal-tracker","title":"Trademark Renewal","description":"Calculate the next deadline for trademark renewal filings.","category":"other","icon":"refresh-cw","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.329Z"},"rows":[{"text":"registrationYear = 2024 // year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":2024,"display":"2,024"},{"text":"renewalIntervalYears = 10 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"nextRenewalYear = registrationYear + renewalIntervalYears","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2034,"display":"2,034"}]},{"id":"traditional-ira-calculator","title":"Traditional Ira Calculator","description":"Project traditional IRA balance at retirement with tax savings each year.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.330Z"},"rows":[{"text":"# Retirement Goal","label":null,"prefix":null,"suffix":null,"section":"Retirement Goal","hero":false,"slider":null,"value":null,"display":null},{"text":"current age = 30 // years 18..70","label":null,"prefix":null,"suffix":"years","section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":18,"max":70,"step":1},"value":30,"display":"30"},{"text":"retirement age = 65 // years 50..75","label":null,"prefix":null,"suffix":"years","section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":50,"max":75,"step":1},"value":65,"display":"65"},{"text":"$current ira balance = 10000 // 0..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":0,"max":500000,"step":1000},"value":10000,"display":"$10,000.00"},{"text":"$annual contribution = 7000 // 0..7k by 500","label":null,"prefix":"$","suffix":null,"section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":0,"max":7000,"step":500},"value":7000,"display":"$7,000.00"},{"text":"expected annual return = 7 // % 1..12 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":1,"max":12,"step":0.5},"value":7,"display":"7"},{"text":"current tax rate = 22 // % 0..37","label":null,"prefix":null,"suffix":"%","section":"Retirement Goal","hidden":false,"hero":false,"slider":{"min":0,"max":37,"step":1},"value":22,"display":"22"},{"text":"# Years to Grow","label":null,"prefix":null,"suffix":null,"section":"Years to Grow","hero":false,"slider":null,"value":null,"display":null},{"text":"_years_to_grow = retirement age - current age","label":null,"prefix":null,"suffix":null,"section":"Years to Grow","hidden":true,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_fv_of_balance = current ira balance * (1 + expected annual return / 100)^years_to_grow","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":106765.81484615452,"display":"$106,765.81"},{"text":"$_fv_of_contributions = annual contribution * ((1 + expected annual return / 100)^years_to_grow - 1) / (expected annual return / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":967658.1484615451,"display":"$967,658.15"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated ira balance at retirement = fv_of_balance + fv_of_contributions // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1074423.9633076997,"display":"$1,074,423.96"},{"text":"$tax savings this year = annual contribution * (current tax rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1540,"display":"$1,540.00"},{"text":"$total contributions = annual contribution * years_to_grow","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":245000,"display":"$245,000.00"}]},{"id":"transformer-turns-ratio","title":"Transformer Turns Ratio","description":"Calculate voltage and current for a power transformer.","category":"engineering","icon":"zap","tags":["engineering","electrical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.330Z"},"rows":[{"text":"primary_voltage = 120 // volts","label":null,"prefix":null,"suffix":"volts","section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"secondary_voltage = 12 // volts","label":null,"prefix":null,"suffix":"volts","section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"@hero turns_ratio = primary_voltage / secondary_voltage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"},{"text":"primary_current = 1 // ampere","label":null,"prefix":null,"suffix":"ampere","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"secondary_current = primary_current * turns_ratio // amperes","label":null,"prefix":null,"suffix":"amperes","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"}]},{"id":"transportation-cost-per-unit","title":"Transportation Cost Per Unit","description":"Break down total freight costs by individual item shipped.","category":"business","icon":"package","tags":["unit"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.330Z"},"rows":[{"text":"totalFreightCost = 1500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"unitsShipped = 2500 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"costPerUnit = totalFreightCost / unitsShipped","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.6,"display":"0.6"}]},{"id":"trapezoid-area","title":"Trapezoid Area","description":"Find the area of a trapezoid: A = ½ × (a + b) × h.","category":"formulas","icon":"triangle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.330Z"},"rows":[{"text":"# Parallel sides and height","label":null,"prefix":null,"suffix":null,"section":"Parallel sides and height","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 8 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Parallel sides and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":8,"display":"8"},{"text":"b = 12 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Parallel sides and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":12,"display":"12"},{"text":"height = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Parallel sides and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = ((a + b) * height) / 2","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"travel-packing-weight-limit","title":"Travel Packing Weight Limit","description":"Calculate remaining airline baggage allowance and percent of weight limit used.","category":"health","icon":"activity","tags":["travel","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.330Z"},"rows":[{"text":"# Airline Limits","label":null,"prefix":null,"suffix":null,"section":"Airline Limits","hero":false,"slider":null,"value":null,"display":null},{"text":"max weight kilograms = 23 // kg","label":null,"prefix":null,"suffix":"kg","section":"Airline Limits","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"# Current Weight","label":null,"prefix":null,"suffix":null,"section":"Current Weight","hero":false,"slider":null,"value":null,"display":null},{"text":"suitcase weight = 4.5 // kg","label":null,"prefix":null,"suffix":"kg","section":"Current Weight","hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"clothes weight = 8.0 // kg","label":null,"prefix":null,"suffix":"kg","section":"Current Weight","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"shoes and toiletries = 3.5 // kg","label":null,"prefix":null,"suffix":"kg","section":"Current Weight","hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"electronics = 2.0 // kg","label":null,"prefix":null,"suffix":"kg","section":"Current Weight","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_current_total_weight = suitcase weight + clothes weight + shoes and toiletries + electronics","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"remaining weight = max weight kilograms - current_total_weight // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"percent of limit = (current_total_weight / max weight kilograms) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":78.2608695652174,"display":"78.2609"}]},{"id":"treadmill-calories-incline","title":"Treadmill Calories Incline","description":"Calculate treadmill calories burned from weight, speed, incline, and duration.","category":"health","icon":"activity","tags":["calories","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.331Z"},"rows":[{"text":"user_weight_kilograms = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"speed_miles_per_hour = 3.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"incline_percent = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"duration_minutes = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"speed_meters_per_minute = speed_miles_per_hour * 26.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":93.8,"display":"93.8"},{"text":"oxygen_consumption_ml_kg_min = (0.1 * speed_meters_per_minute) + (1.8 * speed_meters_per_minute * (incline_percent / 100)) + 3.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":21.322,"display":"21.322"},{"text":"calories_per_minute = (oxygen_consumption_ml_kg_min * user_weight_kilograms) / 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8.5288,"display":"8.5288"},{"text":"@hero total_calories_burned = calories_per_minute * duration_minutes","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":255.864,"display":"255.864"}]},{"id":"tree-drip-line-irrigation","title":"Tree Drip Line Irrigation","description":"Calculate weekly water volume for a tree's canopy area.","category":"everyday","icon":"tree-pine","tags":["garden","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.331Z"},"rows":[{"text":"canopy_radius_meters = 3 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"weekly_water_depth_mm = 50 // mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"drip_line_area = 3.14159 * canopy_radius_meters * canopy_radius_meters // m2","label":null,"prefix":null,"suffix":"m2","section":null,"hidden":false,"hero":false,"slider":null,"value":28.27431,"display":"28.2743"},{"text":"@hero weekly_water_volume_liters = drip_line_area * weekly_water_depth_mm // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":1413.7155,"display":"1,413.7155"}]},{"id":"tree-oxygen-production","title":"Tree Oxygen Production","description":"See how much oxygen a tree produces per year.","category":"science","icon":"tree-pine","tags":["eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.331Z"},"rows":[{"text":"number_of_trees = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"average_oxygen_per_tree_year = 117 // kg per year","label":null,"prefix":null,"suffix":"kg per year","section":null,"hidden":false,"hero":false,"slider":null,"value":117,"display":"117"},{"text":"@hero total_oxygen_produced_year = number_of_trees * average_oxygen_per_tree_year // kg per year","label":null,"prefix":null,"suffix":"kg per year","section":null,"hidden":false,"hero":true,"slider":null,"value":117,"display":"117"},{"text":"people_supported = total_oxygen_produced_year / 740 // 740kg oxygen per person per year","label":null,"prefix":null,"suffix":"740kg oxygen per person per year","section":null,"hidden":false,"hero":false,"slider":null,"value":0.1581081081081081,"display":"0.1581"}]},{"id":"tree-ring-age","title":"Tree Ring Age","description":"Estimate tree age from trunk diameter and species growth factor.","category":"everyday","icon":"smile","tags":["age"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.331Z"},"rows":[{"text":"diameter_centimeters = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"growth_factor = 4 // species dependent","label":null,"prefix":null,"suffix":"species dependent","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"estimated_age_years = diameter_centimeters * growth_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":200,"display":"200"}]},{"id":"tree-value-by-diameter","title":"Tree Value By Diameter","description":"Estimate tree appraisal value from trunk diameter, species, condition, and location.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.332Z"},"rows":[{"text":"trunk_diameter_inches = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"species_class_percent = 80 // 0-100 based on value","label":null,"prefix":null,"suffix":"0-100 based on value","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"condition_percent = 90 // 0-100 based on health","label":null,"prefix":null,"suffix":"0-100 based on health","section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"location_percent = 80 // 0-100 based on placement","label":null,"prefix":null,"suffix":"0-100 based on placement","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"base_value_per_square_inch = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"trunk_area_square_inches = 3.14159 * (trunk_diameter_inches / 2)^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":314.159,"display":"314.159"},{"text":"@hero estimated_tree_value_dollars = trunk_area_square_inches * base_value_per_square_inches * (species_class_percent / 100) * (condition_percent / 100) * (location_percent / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":904.77792,"display":"904.7779"}]},{"id":"treynor-ratio-investment","title":"Treynor Ratio Investment","description":"Calculate the Treynor ratio from portfolio return, risk-free rate, and beta.","category":"math","icon":"ratio","tags":["investment","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.332Z"},"rows":[{"text":"portfolio_return = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"risk_free_rate = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"beta = 1.2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"treynor_ratio = (portfolio_return - risk_free_rate) / beta","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.1,"display":"0.1"}]},{"id":"triadic-color-harmony-generator","title":"Triadic Color Harmony Generator","description":"Generate two triadic color hues 120 degrees apart from a base hue.","category":"design","icon":"palette","tags":["color"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.332Z"},"rows":[{"text":"original_hue = 0 // red","label":null,"prefix":null,"suffix":"red","section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"@hero triadic_hue_1 = (original_hue + 120) % 360 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null},{"text":"@hero triadic_hue_2 = (original_hue + 240) % 360 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"triangle-area-heron","title":"Triangle Area (Heron's Formula)","description":"Find a triangle's area from its three side lengths using Heron's formula.","category":"formulas","icon":"triangle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.332Z"},"rows":[{"text":"# Three side lengths","label":null,"prefix":null,"suffix":null,"section":"Three side lengths","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Three side lengths","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"b = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Three side lengths","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"c = 7 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Three side lengths","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":7,"display":"7"},{"text":"# Semi-perimeter","label":null,"prefix":null,"suffix":null,"section":"Semi-perimeter","hero":false,"slider":null,"value":null,"display":null},{"text":"_s = (a + b + c) / 2","label":null,"prefix":null,"suffix":null,"section":"Semi-perimeter","hidden":true,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = sqrt(s * (s - a) * (s - b) * (s - c))","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":14.696938456699069,"display":"14.6969"}]},{"id":"triangle-area","title":"Triangle Area","description":"Find the area of a triangle from its base and height: A = ½ × b × h.","category":"formulas","icon":"triangle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.333Z"},"rows":[{"text":"# Triangle dimensions","label":null,"prefix":null,"suffix":null,"section":"Triangle dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"base = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Triangle dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"height = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Triangle dimensions","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = (base * height) / 2","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"triathlon-transition-time-impact","title":"Triathlon Transition Time Impact","description":"Calculate triathlon transition time as a percentage of total race time.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.333Z"},"rows":[{"text":"total_race_time_minutes = 150","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"total_transition_time_minutes = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"@hero transition_percentage_of_race = (total_transition_time_minutes / total_race_time_minutes) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5.333333333333334,"display":"5.3333"}]},{"id":"trig-identity-pythagorean","title":"Pythagorean Trig Identity","description":"Verify sin²θ + cos²θ = 1 for any angle.","category":"formulas","icon":"sigma","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.333Z"},"rows":[{"text":"# Angle in degrees","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hero":false,"slider":null,"value":null,"display":null},{"text":"angle = 37 // 0..360","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hidden":false,"hero":false,"slider":{"min":0,"max":360,"step":1},"value":37,"display":"37"},{"text":"# Compute both sides","label":null,"prefix":null,"suffix":null,"section":"Compute both sides","hero":false,"slider":null,"value":null,"display":null},{"text":"sine_squared = sin(angle deg)^2 // @label(sin²θ)","label":"sin²θ","prefix":null,"suffix":null,"section":"Compute both sides","hidden":false,"hero":false,"slider":null,"value":0.3621813220915004,"display":"0.3622"},{"text":"cosine_squared = cos(angle deg)^2 // @label(cos²θ)","label":"cos²θ","prefix":null,"suffix":null,"section":"Compute both sides","hidden":false,"hero":false,"slider":null,"value":0.6378186779084996,"display":"0.6378"},{"text":"identity_check = sine_squared + cosine_squared // @label(sin²θ + cos²θ)","label":"sin²θ + cos²θ","prefix":null,"suffix":null,"section":"Compute both sides","hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"trip-planner","title":"Trip Planner","description":"Estimate drive time, fuel costs, and total trip budget for road trips.","category":"everyday","icon":"car","tags":["fuel","budget","travel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.333Z"},"rows":[{"text":"# Trip Details","label":null,"prefix":null,"suffix":null,"section":"Trip Details","hero":false,"slider":null,"value":null,"display":null},{"text":"one way distance = 350 // miles 10..3k by 10","label":null,"prefix":null,"suffix":"miles","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":10,"max":3000,"step":10},"value":350,"display":"350"},{"text":"average speed = 60 // mph 20..80 by 5","label":null,"prefix":null,"suffix":"mph","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":20,"max":80,"step":5},"value":60,"display":"60"},{"text":"# Travel Time","label":null,"prefix":null,"suffix":null,"section":"Travel Time","hero":false,"slider":null,"value":null,"display":null},{"text":"drive time = one_way_distance / average_speed // hours @hero","label":null,"prefix":null,"suffix":"hours","section":"Travel Time","hidden":false,"hero":true,"slider":null,"value":5.833333333333333,"display":"5.8333"},{"text":"drive time with stops = drive_time * 1.15 // hours","label":null,"prefix":null,"suffix":"hours","section":"Travel Time","hidden":false,"hero":false,"slider":null,"value":6.708333333333332,"display":"6.7083"},{"text":"# Fuel","label":null,"prefix":null,"suffix":null,"section":"Fuel","hero":false,"slider":null,"value":null,"display":null},{"text":"car fuel economy = 30 // mpg 10..60","label":null,"prefix":null,"suffix":"mpg","section":"Fuel","hidden":false,"hero":false,"slider":{"min":10,"max":60,"step":1},"value":30,"display":"30"},{"text":"gas price = $3.89 // /gal 1..10","label":null,"prefix":"$","suffix":"/gal","section":"Fuel","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":3.89,"display":"$3.89"},{"text":"gallons needed = one_way_distance / car_fuel_economy // gal","label":null,"prefix":null,"suffix":"gal","section":"Fuel","hidden":false,"hero":false,"slider":null,"value":11.666666666666666,"display":"11.6667"},{"text":"$fuel cost one way = gallons_needed * gas_price","label":null,"prefix":"$","suffix":null,"section":"Fuel","hidden":false,"hero":false,"slider":null,"value":45.38333333333333,"display":"$45.38"},{"text":"$fuel cost round trip = fuel_cost_one_way * 2","label":null,"prefix":"$","suffix":null,"section":"Fuel","hidden":false,"hero":false,"slider":null,"value":90.76666666666667,"display":"$90.77"},{"text":"# Total Trip Budget","label":null,"prefix":null,"suffix":null,"section":"Total Trip Budget","hero":false,"slider":null,"value":null,"display":null},{"text":"hotel nights = 2 // 0..14","label":null,"prefix":null,"suffix":null,"section":"Total Trip Budget","hidden":false,"hero":false,"slider":{"min":0,"max":14,"step":0.2},"value":2,"display":"2"},{"text":"hotel rate = $120 // /night 50..500 by 10","label":null,"prefix":"$","suffix":"/night","section":"Total Trip Budget","hidden":false,"hero":false,"slider":{"min":50,"max":500,"step":10},"value":120,"display":"$120.00"},{"text":"food budget per day = $60 // /day 20..200 by 5","label":null,"prefix":"$","suffix":"/day","section":"Total Trip Budget","hidden":false,"hero":false,"slider":{"min":20,"max":200,"step":5},"value":60,"display":"$60.00"},{"text":"total days = hotel_nights + 1","label":null,"prefix":null,"suffix":null,"section":"Total Trip Budget","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"$estimated trip cost = fuel_cost_round_trip + (hotel_nights * hotel_rate) + (total_days * food_budget_per_day)","label":null,"prefix":"$","suffix":null,"section":"Total Trip Budget","hidden":false,"hero":false,"slider":null,"value":510.76666666666665,"display":"$510.77"}]},{"id":"triple-net-lease-nnn-calculator","title":"Triple Net Lease Calculator","description":"Calculate total tenant costs under a Triple Net (NNN) lease.","category":"real-estate","icon":"file-plus","tags":["lease"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.334Z"},"rows":[{"text":"baseRentMonthly = 3000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"propertyTaxesMonthly = 400 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"insuranceMonthly = 150 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"maintenanceMonthly = 250 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"totalMonthlyRent = baseRentMonthly + propertyTaxesMonthly + insuranceMonthly + maintenanceMonthly","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3800,"display":"3,800"}]},{"id":"true-airspeed","title":"True Airspeed","description":"Calculate true airspeed from indicated airspeed, pressure altitude, and temperature.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.334Z"},"rows":[{"text":"# Flight Data","label":null,"prefix":null,"suffix":null,"section":"Flight Data","hero":false,"slider":null,"value":null,"display":null},{"text":"indicated airspeed = 120 // knots 40..500","label":null,"prefix":null,"suffix":"knots","section":"Flight Data","hidden":false,"hero":false,"slider":{"min":40,"max":500,"step":1},"value":120,"display":"120"},{"text":"pressure altitude = 5000 // feet 0..30k","label":null,"prefix":null,"suffix":"feet","section":"Flight Data","hidden":false,"hero":false,"slider":{"min":0,"max":30000,"step":500},"value":5000,"display":"5,000"},{"text":"outside air temperature = 60 // fahrenheit -40..120","label":null,"prefix":null,"suffix":"fahrenheit","section":"Flight Data","hidden":false,"hero":false,"slider":{"min":-40,"max":120,"step":1},"value":60,"display":"60"},{"text":"# Rule of Thumb: TAS increases 2% per 1000ft","label":null,"prefix":null,"suffix":null,"section":"Rule of Thumb: TAS increases 2% per 1000ft","hero":false,"slider":null,"value":null,"display":null},{"text":"tas rule of thumb = indicated airspeed * (1 + (pressure altitude / 1000) * 0.02)","label":null,"prefix":null,"suffix":null,"section":"Rule of Thumb: TAS increases 2% per 1000ft","hidden":false,"hero":false,"slider":null,"value":132,"display":"132"},{"text":"# Precise Calculation using Density Ratio","label":null,"prefix":null,"suffix":null,"section":"Precise Calculation using Density Ratio","hero":false,"slider":null,"value":null,"display":null},{"text":"# sigma = density_actual / density_standard","label":null,"prefix":null,"suffix":null,"section":"sigma = density_actual / density_standard","hero":false,"slider":null,"value":null,"display":null},{"text":"temp rankine = outside air temperature + 459.67","label":null,"prefix":null,"suffix":null,"section":"sigma = density_actual / density_standard","hidden":false,"hero":false,"slider":null,"value":519.67,"display":"519.67"},{"text":"standard pressure hpa = 1013.25","label":null,"prefix":null,"suffix":null,"section":"sigma = density_actual / density_standard","hidden":false,"hero":false,"slider":null,"value":1013.25,"display":"1,013.25"},{"text":"standard temp kelvin = 288.15","label":null,"prefix":null,"suffix":null,"section":"sigma = density_actual / density_standard","hidden":false,"hero":false,"slider":null,"value":288.15,"display":"288.15"},{"text":"pressure ratio = (1 - 0.0000068756 * pressure altitude)^5.2559","label":null,"prefix":null,"suffix":null,"section":"sigma = density_actual / density_standard","hidden":false,"hero":false,"slider":null,"value":0.8320470963436707,"display":"0.832"},{"text":"density ratio = pressure ratio * (518.67 / temp rankine)","label":null,"prefix":null,"suffix":null,"section":"sigma = density_actual / density_standard","hidden":false,"hero":false,"slider":null,"value":0.830445989686862,"display":"0.8304"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"true airspeed = indicated airspeed / sqrt(density ratio) // knots @hero","label":null,"prefix":null,"suffix":"knots","section":"Result","hidden":false,"hero":true,"slider":null,"value":131.68173800573538,"display":"131.6817"},{"text":"# Metrics","label":null,"prefix":null,"suffix":null,"section":"Metrics","hero":false,"slider":null,"value":null,"display":null},{"text":"tas mph = true airspeed * 1.15078","label":null,"prefix":null,"suffix":null,"section":"Metrics","hidden":false,"hero":false,"slider":null,"value":151.53671046224017,"display":"151.5367"},{"text":"tas kph = true airspeed * 1.852","label":null,"prefix":null,"suffix":null,"section":"Metrics","hidden":false,"hero":false,"slider":null,"value":243.87457878662192,"display":"243.8746"},{"text":"mach number = true airspeed / (38.967 * sqrt(temp rankine))","label":null,"prefix":null,"suffix":null,"section":"Metrics","hidden":false,"hero":false,"slider":null,"value":0.14823977780201134,"display":"0.1482"}]},{"id":"turbo-boost-horsepower-effect","title":"Turbo Boost Horsepower Effect","description":"Estimate horsepower increase from turbo boost.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.334Z"},"rows":[{"text":"# Engine Settings","label":null,"prefix":null,"suffix":null,"section":"Engine Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base horsepower = 200","label":null,"prefix":null,"suffix":null,"section":"Engine Settings","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"boost pressure psi = 10","label":null,"prefix":null,"suffix":null,"section":"Engine Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"ambient pressure psi = 14.7","label":null,"prefix":null,"suffix":null,"section":"Engine Settings","hidden":false,"hero":false,"slider":null,"value":14.7,"display":"14.7"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_pressure_ratio = (boost pressure psi + ambient pressure psi) / ambient pressure psi","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.6802721088435375,"display":"1.6803"},{"text":"estimated horsepower = base horsepower * pressure_ratio","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":336.0544217687075,"display":"336.0544"}]},{"id":"turkey-thaw-time","title":"Turkey Thaw Time","description":"Calculate turkey thaw time using refrigerator or cold-water method.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.335Z"},"rows":[{"text":"turkey_weight_pounds = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"thaw_method_fridge = 1 // dropdown({Refrigerator: 1, Cold Water: 0})","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"fridge_hours = (turkey_weight_pounds / 4) * 24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"cold_water_hours = (turkey_weight_pounds * 0.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.5,"display":"7.5"},{"text":"@hero total_thaw_hours = thaw_method_fridge ? fridge_hours : cold_water_hours","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":90,"display":"90"}]},{"id":"twitch-subscription-earnings","title":"Twitch Subscription Earnings","description":"Calculate net Twitch subscription revenue across three subscription tiers.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.335Z"},"rows":[{"text":"tier_one_subscribers = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"tier_two_subscribers = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"tier_three_subscribers = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"tier_one_price = 4.99","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4.99,"display":"4.99"},{"text":"tier_two_price = 9.99","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9.99,"display":"9.99"},{"text":"tier_three_price = 24.99","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":24.99,"display":"24.99"},{"text":"twitch_revenue_share = 0.50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"total_subscriber_revenue = (tier_one_subscribers * tier_one_price + tier_two_subscribers * tier_two_price + tier_three_subscribers * tier_three_price) * twitch_revenue_share","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":361.925,"display":"361.925"}]},{"id":"typing-speed-marathon","title":"Typing Speed Marathon","description":"Calculate hours of typing required to write a novel at a given WPM.","category":"everyday","icon":"smile","tags":["marathon"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.336Z"},"rows":[{"text":"words_per_minute = 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"total_words = 50000 // a novel","label":null,"prefix":null,"suffix":"a novel","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"time_hours = (total_words / words_per_minute) / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":13.88888888888889,"display":"13.8889"}]},{"id":"typing-speed-words-per-minute","title":"Typing Speed Words Per Minute","description":"Calculate net typing speed in WPM from characters typed and error count.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.336Z"},"rows":[{"text":"characters_typed = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"errors = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"time_seconds = 60 // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"_words_typed = characters_typed / 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"_wpm_gross = words_typed / (time_seconds / 60)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero wpm_net = wpm_gross - (errors / (time_seconds / 60)) // words per minute","label":null,"prefix":null,"suffix":"words per minute","section":null,"hidden":false,"hero":true,"slider":null,"value":95,"display":"95"}]},{"id":"umbrella-coverage-area","title":"Umbrella Coverage Area","description":"Calculate the coverage area in square meters of an open umbrella.","category":"everyday","icon":"smile","tags":["coverage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.342Z"},"rows":[{"text":"umbrella_diameter_cm = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"coverage_area_m2 = (pi * (umbrella_diameter_cm / 200)^2)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.7853981633974483,"display":"0.7854"}]},{"id":"unemployment-benefit-duration","title":"Unemployment Duration","description":"Calculate remaining weeks of unemployment eligibility.","category":"other","icon":"calendar","tags":["benefit"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.342Z"},"rows":[{"text":"totalWeeksEligible = 26 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":26,"display":"26"},{"text":"weeksUsed = 10 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"weeksRemaining = totalWeeksEligible - weeksUsed","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16,"display":"16"}]},{"id":"unit-circle-coordinates","title":"Unit Circle Coordinates","description":"Find (x, y) on the unit circle at a given angle: x = cos θ, y = sin θ.","category":"formulas","icon":"circle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.342Z"},"rows":[{"text":"# Angle in degrees","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hero":false,"slider":null,"value":null,"display":null},{"text":"angle = 60 // 0..360","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hidden":false,"hero":false,"slider":{"min":0,"max":360,"step":1},"value":60,"display":"60"},{"text":"# Coordinates on unit circle","label":null,"prefix":null,"suffix":null,"section":"Coordinates on unit circle","hero":false,"slider":null,"value":null,"display":null},{"text":"x = cos(angle deg) // @hero @label(x = cos θ)","label":"x = cos θ","prefix":null,"suffix":null,"section":"Coordinates on unit circle","hidden":false,"hero":true,"slider":null,"value":0.5000000000000001,"display":"0.5"},{"text":"y = sin(angle deg) // @hero @label(y = sin θ)","label":"y = sin θ","prefix":null,"suffix":null,"section":"Coordinates on unit circle","hidden":false,"hero":true,"slider":null,"value":0.8660254037844386,"display":"0.866"}]},{"id":"unit-economics","title":"Unit Economics","description":"Calculate LTV, CAC ratio, and payback period for SaaS.","category":"business","icon":"bar-chart","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.343Z"},"rows":[{"text":"# Revenue","label":null,"prefix":null,"suffix":null,"section":"Revenue","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly revenue per user = 49 // 5..500","label":null,"prefix":"$","suffix":null,"section":"Revenue","hidden":false,"hero":false,"slider":{"min":5,"max":500,"step":1},"value":49,"display":"$49.00"},{"text":"monthly churn rate = 5 // % 0.5..30 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Revenue","hidden":false,"hero":false,"slider":{"min":0.5,"max":30,"step":0.1},"value":5,"display":"5"},{"text":"# Acquisition","label":null,"prefix":null,"suffix":null,"section":"Acquisition","hero":false,"slider":null,"value":null,"display":null},{"text":"$customer acquisition cost = 200 // 10..5k by 10","label":null,"prefix":"$","suffix":null,"section":"Acquisition","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":10},"value":200,"display":"$200.00"},{"text":"# Lifetime Value","label":null,"prefix":null,"suffix":null,"section":"Lifetime Value","hero":false,"slider":null,"value":null,"display":null},{"text":"avg customer lifespan months = round(1 / (monthly churn rate / 100) * 10) / 10 // @label(Avg lifespan (months))","label":"Avg lifespan (months)","prefix":null,"suffix":null,"section":"Lifetime Value","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"$lifetime value = round(monthly revenue per user * avg customer lifespan months * 100) / 100 // @hero @label(LTV)","label":"LTV","prefix":"$","suffix":null,"section":"Lifetime Value","hidden":false,"hero":true,"slider":null,"value":980,"display":"$980.00"},{"text":"# Ratios","label":null,"prefix":null,"suffix":null,"section":"Ratios","hero":false,"slider":null,"value":null,"display":null},{"text":"ltv cac ratio = round(lifetime value / customer acquisition cost * 10) / 10 // @label(LTV/CAC ratio)","label":"LTV/CAC ratio","prefix":null,"suffix":null,"section":"Ratios","hidden":false,"hero":false,"slider":null,"value":4.9,"display":"4.9"},{"text":"payback months = round(customer acquisition cost / monthly revenue per user * 10) / 10 // @label(Payback period (months))","label":"Payback period (months)","prefix":null,"suffix":null,"section":"Ratios","hidden":false,"hero":false,"slider":null,"value":4.1,"display":"4.1"},{"text":"# Annual","label":null,"prefix":null,"suffix":null,"section":"Annual","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual revenue per user = monthly revenue per user * 12","label":null,"prefix":"$","suffix":null,"section":"Annual","hidden":false,"hero":false,"slider":null,"value":588,"display":"$588.00"},{"text":"annual churn rate = round((1 - (1 - monthly churn rate / 100)^12) * 100 * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Annual","hidden":false,"hero":false,"slider":null,"value":46,"display":"46"}]},{"id":"unit-production-queue-capacity","title":"Unit Production Queue Capacity","description":"Calculate total time for a production queue.","category":"productivity","icon":"list","tags":["gaming","strategy"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.343Z"},"rows":[{"text":"# Queue Settings","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"unit count = 5","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"time per unit minutes = 2","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"parallel production lines = 2","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"total time minutes = (unit count * time per unit minutes) / parallel production lines","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"unit-production-time-multiplier","title":"Unit Production Time Multiplier","description":"Calculate unit production time with efficiency multipliers.","category":"productivity","icon":"clock","tags":["gaming","strategy"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.343Z"},"rows":[{"text":"# Production Settings","label":null,"prefix":null,"suffix":null,"section":"Production Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"base production time minutes = 5","label":null,"prefix":null,"suffix":null,"section":"Production Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"efficiency multiplier = 1.5","label":null,"prefix":null,"suffix":null,"section":"Production Settings","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"final production time minutes = base production time minutes / efficiency multiplier","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"urban-heat-island-effect-delta","title":"Urban Heat Island Effect","description":"Calculate temperature difference due to urban albedo changes.","category":"science","icon":"building-2","tags":["science","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.343Z"},"rows":[{"text":"urban_albedo = 0.15 // dark surfaces","label":null,"prefix":null,"suffix":"dark surfaces","section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"rural_albedo = 0.25 // vegetation/soil","label":null,"prefix":null,"suffix":"vegetation/soil","section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"solar_radiation_w_m2 = 800 // watts per m2","label":null,"prefix":null,"suffix":"watts per m2","section":null,"hidden":false,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"urban_absorption = solar_radiation_w_m2 * (1 - urban_albedo)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":680,"display":"680"},{"text":"rural_absorption = solar_radiation_w_m2 * (1 - rural_albedo)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":600,"display":"600"},{"text":"@hero radiation_difference_w_m2 = urban_absorption - rural_absorption // W/m2","label":null,"prefix":null,"suffix":"W/m2","section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"},{"text":"estimated_temp_increase_celsius = radiation_difference_w_m2 / 15 // rough approximation","label":null,"prefix":null,"suffix":"rough approximation","section":null,"hidden":false,"hero":false,"slider":null,"value":5.333333333333333,"display":"5.3333"}]},{"id":"url-encoded-size-increase","title":"Url Encoded Size Increase","description":"Calculate URL-encoded string size increase from special character percentage.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.344Z"},"rows":[{"text":"# Data","label":null,"prefix":null,"suffix":null,"section":"Data","hero":false,"slider":null,"value":null,"display":null},{"text":"string length = 100 // characters","label":null,"prefix":null,"suffix":"characters","section":"Data","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"percent special characters = 20 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Data","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":20,"display":"20"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"# Each special character takes 3 bytes instead of 1","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hero":false,"slider":null,"value":null,"display":null},{"text":"_special_count = string length * (percent special characters / 100)","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":true,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"_normal_count = string length - special_count","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":true,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"_original_size_bytes = string length","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":true,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"encoded size bytes = normal_count + (special_count * 3) // @hero","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":false,"hero":true,"slider":null,"value":140,"display":"140"},{"text":"size increase percent = ((encoded size bytes / original_size_bytes) - 1) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"utility-cost","title":"Utility Cost","description":"Estimate monthly utility costs for a home.","category":"real-estate","icon":"zap","tags":["electric","gas"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.344Z"},"rows":[{"text":"# Home Details","label":null,"prefix":null,"suffix":null,"section":"Home Details","hero":false,"slider":null,"value":null,"display":null},{"text":"square footage = 1500 // sqft 500..5k by 100","label":null,"prefix":null,"suffix":"sqft","section":"Home Details","hidden":false,"hero":false,"slider":{"min":500,"max":5000,"step":100},"value":1500,"display":"1,500"},{"text":"climate factor = 1.0 // 0.5..2 by 0.1 @label(Climate Factor (0.5=mild, 1=avg, 2=extreme))","label":"Climate Factor (0.5=mild, 1=avg, 2=extreme)","prefix":null,"suffix":null,"section":"Home Details","hidden":false,"hero":false,"slider":{"min":0.5,"max":2,"step":0.1},"value":1,"display":"1"},{"text":"# Monthly Utility Estimates","label":null,"prefix":null,"suffix":null,"section":"Monthly Utility Estimates","hero":false,"slider":null,"value":null,"display":null},{"text":"$electric = round(square footage * 0.07 * climate factor * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":null,"value":105,"display":"$105.00"},{"text":"$gas heating = round(square footage * 0.03 * climate factor * 100) / 100 // @label(Gas / Heating)","label":"Gas / Heating","prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":null,"value":45,"display":"$45.00"},{"text":"$water and sewer = 65 // 30..200 by 5","label":null,"prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":{"min":30,"max":200,"step":5},"value":65,"display":"$65.00"},{"text":"$trash = 35 // 0..100 by 5","label":null,"prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":5},"value":35,"display":"$35.00"},{"text":"$internet = 70 // 30..150 by 5","label":null,"prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":{"min":30,"max":150,"step":5},"value":70,"display":"$70.00"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"$total monthly utilities = electric + gas heating + water and sewer + trash + internet // @hero","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":true,"slider":null,"value":320,"display":"$320.00"},{"text":"$annual utilities = total monthly utilities * 12","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":3840,"display":"$3,840.00"},{"text":"cost per sqft = round(total monthly utilities / square footage * 100) / 100 // $/sqft/mo","label":null,"prefix":null,"suffix":"$/sqft/mo","section":"Totals","hidden":false,"hero":false,"slider":null,"value":0.21,"display":"0.21"}]},{"id":"vacancy-rate-impact","title":"Vacancy Rate Impact","description":"Estimate the annual revenue loss caused by empty units.","category":"real-estate","icon":"user-x","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.344Z"},"rows":[{"text":"grossPotentialRent = 120000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":120000,"display":"120,000"},{"text":"vacancyRatePercent = 7 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"annualVacancyLoss = grossPotentialRent * (vacancyRatePercent / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8400,"display":"8,400"}]},{"id":"valve-spring-pressure","title":"Valve Spring Pressure","description":"Calculate valve spring pressure.","category":"engineering","icon":"settings","tags":["automotive","engine"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.345Z"},"rows":[{"text":"# Spring Specs","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"spring rate pounds per inch = 300","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"installed height inches = 1.8","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":1.8,"display":"1.8"},{"text":"open height inches = 1.3","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":1.3,"display":"1.3"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"seat pressure pounds = spring rate pounds per inch * (2.0 - installed height inches) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":60,"display":"60"},{"text":"open pressure pounds = spring rate pounds per inch * (2.0 - open height inches) // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":210,"display":"210"}]},{"id":"variance-calculator","title":"Variance Calculator","description":"Calculate population and sample variance across five data points.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.345Z"},"rows":[{"text":"# Data Points","label":null,"prefix":null,"suffix":null,"section":"Data Points","hero":false,"slider":null,"value":null,"display":null},{"text":"x1 = 10","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"x2 = 12","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"x3 = 23","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x4 = 23","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"x5 = 16","label":null,"prefix":null,"suffix":null,"section":"Data Points","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_count = 5","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"_mean = (x1 + x2 + x3 + x4 + x5) / count","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":16.8,"display":"16.8"},{"text":"_variance_sum = (x1-mean)^2 + (x2-mean)^2 + (x3-mean)^2 + (x4-mean)^2 + (x5-mean)^2","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":146.8,"display":"146.8"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"population variance = variance_sum / count // @hero","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":29.36,"display":"29.36"},{"text":"sample variance = variance_sum / (count - 1) // @hero","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":36.7,"display":"36.7"}]},{"id":"vat-calculator","title":"Vat Calculator","description":"Add or remove VAT from a price at a given VAT rate.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.346Z"},"rows":[{"text":"# VAT Details","label":null,"prefix":null,"suffix":null,"section":"VAT Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$amount = 120 // 1..10k","label":null,"prefix":"$","suffix":null,"section":"VAT Details","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":120,"display":"$120.00"},{"text":"vat rate = 20 // % 0..30 by 0.1","label":null,"prefix":null,"suffix":"%","section":"VAT Details","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":0.1},"value":20,"display":"20"},{"text":"calculation type = 1 // dropdown({Add VAT: 1, Remove VAT: 2})","label":null,"prefix":null,"suffix":null,"section":"VAT Details","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$_vat_added = amount * (vat rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":true,"hero":false,"slider":null,"value":24,"display":"$24.00"},{"text":"$_total_with_vat = amount + vat_added","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":true,"hero":false,"slider":null,"value":144,"display":"$144.00"},{"text":"$_price_without_vat = amount / (1 + vat rate / 100)","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":true,"hero":false,"slider":null,"value":100,"display":"$100.00"},{"text":"$_vat_removed = amount - price_without_vat","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":true,"hero":false,"slider":null,"value":20,"display":"$20.00"},{"text":"# Hero conditional","label":null,"prefix":null,"suffix":null,"section":"Hero conditional","hero":false,"slider":null,"value":null,"display":null},{"text":"$vat amount = if(calculation type == 1, vat_added, vat_removed) // @hero","label":null,"prefix":"$","suffix":null,"section":"Hero conditional","hidden":false,"hero":true,"slider":null,"value":24,"display":"$24.00"},{"text":"$total amount = if(calculation type == 1, total_with_vat, price_without_vat)","label":null,"prefix":"$","suffix":null,"section":"Hero conditional","hidden":false,"hero":false,"slider":null,"value":144,"display":"$144.00"}]},{"id":"vector-angle-between","title":"Angle Between Vectors","description":"Find the angle between two 3D vectors: cos θ = (a · b) / (|a| · |b|).","category":"formulas","icon":"move","tags":["linear-algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"# Vector a @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector a","hero":false,"slider":null,"value":null,"display":null},{"text":"ax = 1","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"ay = 0","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"az = 0","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Vector b @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector b","hero":false,"slider":null,"value":null,"display":null},{"text":"bx = 0","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"by = 1","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"bz = 0","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"dot = ax * bx + ay * by + az * bz // @label(a · b)","label":"a · b","prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"mag_a = sqrt(ax^2 + ay^2 + az^2) // @label(|a|)","label":"|a|","prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"mag_b = sqrt(bx^2 + by^2 + bz^2) // @label(|b|)","label":"|b|","prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"cos_theta = dot / (mag_a * mag_b) // @label(cos θ)","label":"cos θ","prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"@hero angle_degrees = acos(cos_theta) // @label(Angle (degrees))","label":"Angle (degrees)","prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":90,"display":"90"}]},{"id":"vector-cross-product","title":"Vector Cross Product","description":"Compute the cross product of two 3D vectors.","category":"formulas","icon":"move","tags":["linear-algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"# Vector a @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector a","hero":false,"slider":null,"value":null,"display":null},{"text":"ax = 1","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"ay = 2","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"az = 3","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Vector b @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector b","hero":false,"slider":null,"value":null,"display":null},{"text":"bx = 4","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"by = 5","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"bz = 6","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"# Cross product components @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Cross product components","hero":false,"slider":null,"value":null,"display":null},{"text":"cross_x = ay * bz - az * by // @label((a × b)ₓ)","label":"(a × b)ₓ","prefix":null,"suffix":null,"section":"Cross product components","hidden":false,"hero":false,"slider":null,"value":-3,"display":"-3"},{"text":"cross_y = az * bx - ax * bz // @label((a × b)ᵧ)","label":"(a × b)ᵧ","prefix":null,"suffix":null,"section":"Cross product components","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"cross_z = ax * by - ay * bx // @label((a × b)𝓏)","label":"(a × b)𝓏","prefix":null,"suffix":null,"section":"Cross product components","hidden":false,"hero":false,"slider":null,"value":-3,"display":"-3"},{"text":"# Magnitude","label":null,"prefix":null,"suffix":null,"section":"Magnitude","hero":false,"slider":null,"value":null,"display":null},{"text":"@hero magnitude = sqrt(cross_x^2 + cross_y^2 + cross_z^2) // @label(|a × b|)","label":"|a × b|","prefix":null,"suffix":null,"section":"Magnitude","hidden":false,"hero":true,"slider":null,"value":7.3484692283495345,"display":"7.3485"}]},{"id":"vector-dot-product","title":"Vector Dot Product","description":"Compute the dot product of two 3D vectors: a·b = aₓbₓ + aᵧbᵧ + a𝓏b𝓏.","category":"formulas","icon":"move","tags":["linear-algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"# Vector a @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector a","hero":false,"slider":null,"value":null,"display":null},{"text":"ax = 1","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"ay = 2","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"az = 3","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Vector b @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector b","hero":false,"slider":null,"value":null,"display":null},{"text":"bx = 4","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"by = 5","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"bz = 6","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"# Dot product","label":null,"prefix":null,"suffix":null,"section":"Dot product","hero":false,"slider":null,"value":null,"display":null},{"text":"@hero dot = ax * bx + ay * by + az * bz // @label(a · b)","label":"a · b","prefix":null,"suffix":null,"section":"Dot product","hidden":false,"hero":true,"slider":null,"value":32,"display":"32"}]},{"id":"vector-magnitude-3d","title":"Vector Magnitude 3d","description":"Calculate the magnitude of a 3D vector from its x, y, and z components.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"# Vector Coordinates @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector Coordinates","hero":false,"slider":null,"value":null,"display":null},{"text":"x = 3","label":null,"prefix":null,"suffix":null,"section":"Vector Coordinates","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"y = 4","label":null,"prefix":null,"suffix":null,"section":"Vector Coordinates","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"z = 0","label":null,"prefix":null,"suffix":null,"section":"Vector Coordinates","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Magnitude","label":null,"prefix":null,"suffix":null,"section":"Magnitude","hero":false,"slider":null,"value":null,"display":null},{"text":"_sum_of_squares = (x ^ 2) + (y ^ 2) + (z ^ 2)","label":null,"prefix":null,"suffix":null,"section":"Magnitude","hidden":true,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"@hero magnitude = sqrt(sum_of_squares)","label":null,"prefix":null,"suffix":null,"section":"Magnitude","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"vector-magnitude","title":"Vector Magnitude","description":"Find the magnitude (length) of a 3D vector: |v| = √(x² + y² + z²).","category":"formulas","icon":"move","tags":["linear-algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.348Z"},"rows":[{"text":"# Vector components","label":null,"prefix":null,"suffix":null,"section":"Vector components","hero":false,"slider":null,"value":null,"display":null},{"text":"x = 3 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Vector components","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":3,"display":"3"},{"text":"y = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Vector components","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"z = 12 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Vector components","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":12,"display":"12"},{"text":"# Magnitude","label":null,"prefix":null,"suffix":null,"section":"Magnitude","hero":false,"slider":null,"value":null,"display":null},{"text":"magnitude = sqrt(x^2 + y^2 + z^2) // @label(|v|)","label":"|v|","prefix":null,"suffix":null,"section":"Magnitude","hidden":false,"hero":true,"slider":null,"value":13,"display":"13"}]},{"id":"vector-projection","title":"Vector Projection","description":"Project vector a onto vector b: projᵦa = ((a·b) / (b·b)) · b.","category":"formulas","icon":"move","tags":["linear-algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-18T18:43:42.256Z"},"rows":[{"text":"# Vector a @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector a","hero":false,"slider":null,"value":null,"display":null},{"text":"ax = 3","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"ay = 4","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"az = 0","label":null,"prefix":null,"suffix":null,"section":"Vector a","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Vector b @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector b","hero":false,"slider":null,"value":null,"display":null},{"text":"bx = 1","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"by = 0","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"bz = 0","label":null,"prefix":null,"suffix":null,"section":"Vector b","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Scalar projection","label":null,"prefix":null,"suffix":null,"section":"Scalar projection","hero":false,"slider":null,"value":null,"display":null},{"text":"dot_ab = ax * bx + ay * by + az * bz // @label(a · b)","label":"a · b","prefix":null,"suffix":null,"section":"Scalar projection","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"dot_bb = bx^2 + by^2 + bz^2 // @label(b · b)","label":"b · b","prefix":null,"suffix":null,"section":"Scalar projection","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"scalar = dot_ab / dot_bb","label":null,"prefix":null,"suffix":null,"section":"Scalar projection","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Vector projection @layout(grid-3)","label":null,"prefix":null,"suffix":null,"section":"Vector projection","hero":false,"slider":null,"value":null,"display":null},{"text":"proj_x = scalar * bx // @label(projₓ)","label":"projₓ","prefix":null,"suffix":null,"section":"Vector projection","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"proj_y = scalar * by // @label(projᵧ)","label":"projᵧ","prefix":null,"suffix":null,"section":"Vector projection","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"proj_z = scalar * bz // @label(proj𝓏)","label":"proj𝓏","prefix":null,"suffix":null,"section":"Vector projection","hidden":false,"hero":true,"slider":null,"value":0,"display":"0"}]},{"id":"vegetable-companion-planting-score","title":"Vegetable Companion Score","description":"Adjust estimated yields based on companion planting effects.","category":"science","icon":"sprout","tags":["garden","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.349Z"},"rows":[{"text":"number_of_good_neighbors = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"number_of_bad_neighbors = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"base_yield_kg = 10 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero adjusted_yield_kg = base_yield_kg * (1 + (number_of_good_neighbors * 0.1) - (number_of_bad_neighbors * 0.2)) // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":12,"display":"12"}]},{"id":"vegetable-garden-yield-value","title":"Vegetable Garden Yield Value","description":"Estimate the market value of your garden's produce.","category":"finance","icon":"sprout","tags":["garden","finance","food"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.349Z"},"rows":[{"text":"garden_area_square_meters = 20 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"average_yield_kg_per_square_meter = 2 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"market_price_per_kg = 4 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"@hero total_garden_value_dollars = garden_area_square_meters * average_yield_kg_per_square_meter * market_price_per_kg // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":160,"display":"160"}]},{"id":"vehicle-power-to-weight-ratio","title":"Vehicle Power To Weight Ratio","description":"Calculate vehicle power to weight ratio.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.350Z"},"rows":[{"text":"# Specs","label":null,"prefix":null,"suffix":null,"section":"Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"horsepower = 300","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"weight pounds = 3300","label":null,"prefix":null,"suffix":null,"section":"Specs","hidden":false,"hero":false,"slider":null,"value":3300,"display":"3,300"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"horsepower per pound = horsepower / weight pounds // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.09090909090909091,"display":"0.0909"},{"text":"pounds per horsepower = weight pounds / horsepower // @hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":11,"display":"11"}]},{"id":"vehicle-routing-efficiency","title":"Vehicle Routing Efficiency","description":"Compare actual miles driven against the theoretical optimal route.","category":"business","icon":"map-pin","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.350Z"},"rows":[{"text":"actualMilesDriven = 120 // miles","label":null,"prefix":null,"suffix":"miles","section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"optimalMilesRequired = 100 // miles","label":null,"prefix":null,"suffix":"miles","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"routingEfficiency = (optimalMilesRequired / actualMilesDriven) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":83.33333333333334,"display":"83.3333"}]},{"id":"velocity-from-distance-time","title":"Velocity from Distance and Time","description":"v = d / t — average velocity for a given distance and time.","category":"formulas","icon":"gauge","tags":["physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.350Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"distance = 100 // m 0..1M","label":null,"prefix":null,"suffix":"m","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":1000000,"step":10000},"value":100,"display":"100"},{"text":"time = 10 // s 0.001..1M","label":null,"prefix":null,"suffix":"s","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":1000000,"step":10000},"value":10,"display":"10"},{"text":"# Velocity","label":null,"prefix":null,"suffix":null,"section":"Velocity","hero":false,"slider":null,"value":null,"display":null},{"text":"velocity = distance / time // @label(v) @suffix(m/s)","label":"v","prefix":null,"suffix":null,"section":"Velocity","hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"vibration-natural-frequency","title":"Vibration Natural Frequency","description":"Calculate natural frequency for a mass-spring system.","category":"engineering","icon":"activity","tags":["engineering","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.350Z"},"rows":[{"text":"stiffness_n_m = 10000 // N/m","label":null,"prefix":null,"suffix":"N/m","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"mass_kg = 5 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero natural_frequency_hz = (1 / (2 * 3.14159)) * ((stiffness_n_m / mass_kg)^0.5) // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":true,"slider":null,"value":7.117631446177858,"display":"7.1176"},{"text":"period_seconds = 1 / natural_frequency_hz // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":false,"slider":null,"value":0.14049617594867128,"display":"0.1405"}]},{"id":"video-bitrate-file-size","title":"Video Bitrate File Size","description":"Estimate video file size in gigabytes from duration and bitrate.","category":"productivity","icon":"play","tags":["video","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.351Z"},"rows":[{"text":"# Video Specs","label":null,"prefix":null,"suffix":null,"section":"Video Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"duration minutes = 60","label":null,"prefix":null,"suffix":null,"section":"Video Specs","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"video bitrate mbps = 8 // Megabits per second","label":null,"prefix":null,"suffix":"Megabits per second","section":"Video Specs","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"audio bitrate kbps = 192 // Kilobits per second","label":null,"prefix":null,"suffix":"Kilobits per second","section":"Video Specs","hidden":false,"hero":false,"slider":null,"value":192,"display":"192"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_seconds = duration minutes * 60","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":3600,"display":"3,600"},{"text":"_total_megabits = (video bitrate mbps + (audio bitrate kbps / 1000)) * total_seconds","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":29491.2,"display":"29,491.2"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"estimated size gigabytes = (total_megabits / 8) / 1000 // GB","label":null,"prefix":null,"suffix":"GB","section":"Result","hidden":false,"hero":true,"slider":null,"value":3.6864,"display":"3.6864"}]},{"id":"video-script-length-time-estimate","title":"Video Script Length Time Estimate","description":"Estimate spoken video length from script word count and reading speed.","category":"productivity","icon":"clock","tags":["video"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.351Z"},"rows":[{"text":"script_word_count = 500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"reading_speed_wpm = 150 // words per minute","label":null,"prefix":null,"suffix":"words per minute","section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"@hero estimated_video_length_seconds = (script_word_count / reading_speed_wpm) * 60 // seconds","label":null,"prefix":null,"suffix":"seconds","section":null,"hidden":false,"hero":true,"slider":null,"value":200.00000000000003,"display":"200"}]},{"id":"viscosity-converter","title":"Viscosity Converter","description":"Convert viscosity between centipoise, pascal-seconds, poise, and centistokes.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.351Z"},"rows":[{"text":"# Dynamic Viscosity","label":null,"prefix":null,"suffix":null,"section":"Dynamic Viscosity","hero":false,"slider":null,"value":null,"display":null},{"text":"centipoise = 100 // cp 0.1..100k","label":null,"prefix":null,"suffix":"cp","section":"Dynamic Viscosity","hidden":false,"hero":false,"slider":{"min":0.1,"max":100000,"step":1000},"value":100,"display":"100"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"pascal seconds = centipoise * 0.001 // pa-s @hero","label":null,"prefix":null,"suffix":"pa-s","section":"Conversions","hidden":false,"hero":true,"slider":null,"value":0.1,"display":"0.1"},{"text":"poise = centipoise / 100","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"lb ft second = centipoise * 0.000020885","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":0.0020885,"display":"0.002089"},{"text":"# Kinematic (Water Density approx)","label":null,"prefix":null,"suffix":null,"section":"Kinematic (Water Density approx)","hero":false,"slider":null,"value":null,"display":null},{"text":"density = 1000 // kg/m3","label":null,"prefix":null,"suffix":"kg/m3","section":"Kinematic (Water Density approx)","hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"centistokes = centipoise / (density / 1000) // cst","label":null,"prefix":null,"suffix":"cst","section":"Kinematic (Water Density approx)","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"square meters per second = centistokes * 0.000001","label":null,"prefix":null,"suffix":null,"section":"Kinematic (Water Density approx)","hidden":false,"hero":false,"slider":null,"value":0.0001,"display":"0.0001"}]},{"id":"vision-prescription-converter","title":"Vision Prescription Converter","description":"Calculate focal length and spherical equivalent from a vision prescription.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.351Z"},"rows":[{"text":"# Lens Power","label":null,"prefix":null,"suffix":null,"section":"Lens Power","hero":false,"slider":null,"value":null,"display":null},{"text":"sphere power = -3.25 // diopters -20..20","label":null,"prefix":null,"suffix":"diopters","section":"Lens Power","hidden":false,"hero":false,"slider":{"min":-20,"max":20,"step":1},"value":-3.25,"display":"-3.25"},{"text":"cylinder power = -0.75 // diopters -10..0","label":null,"prefix":null,"suffix":"diopters","section":"Lens Power","hidden":false,"hero":false,"slider":{"min":-10,"max":0,"step":0.1},"value":-0.75,"display":"-0.75"},{"text":"# Focal Length","label":null,"prefix":null,"suffix":null,"section":"Focal Length","hero":false,"slider":null,"value":null,"display":null},{"text":"focal length meters = 1 / abs(sphere power)","label":null,"prefix":null,"suffix":null,"section":"Focal Length","hidden":false,"hero":false,"slider":null,"value":0.3076923076923077,"display":"0.3077"},{"text":"focal length mm = focal length meters * 1000 // mm @hero","label":null,"prefix":null,"suffix":"mm","section":"Focal Length","hidden":false,"hero":true,"slider":null,"value":307.69230769230774,"display":"307.6923"},{"text":"# Spherical Equivalent","label":null,"prefix":null,"suffix":null,"section":"Spherical Equivalent","hero":false,"slider":null,"value":null,"display":null},{"text":"spherical equivalent = sphere power + (cylinder power / 2) // diopters","label":null,"prefix":null,"suffix":"diopters","section":"Spherical Equivalent","hidden":false,"hero":false,"slider":null,"value":-3.625,"display":"-3.625"},{"text":"near addition = 2.00 // diopters","label":null,"prefix":null,"suffix":"diopters","section":"Spherical Equivalent","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"total near power = sphere power + near addition","label":null,"prefix":null,"suffix":null,"section":"Spherical Equivalent","hidden":false,"hero":false,"slider":null,"value":-1.25,"display":"-1.25"}]},{"id":"volcano-ash-cloud-height","title":"Volcano Ash Cloud Height","description":"Estimate volcano ash cloud height in kilometers from eruption rate.","category":"science","icon":"globe","tags":["cloud"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.352Z"},"rows":[{"text":"eruption_rate_m3_per_s = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"cloud_height_km = 1.67 * eruption_rate_m3_per_s^0.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.39110013067883,"display":"9.3911"}]},{"id":"volleyball-attack-percentage","title":"Volleyball Attack Percentage","description":"Calculate volleyball attack percentage.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.352Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"kills = 15","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"errors = 5","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total attempts = 40","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"attack percentage = (kills - errors) / total attempts","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.25,"display":"0.25"}]},{"id":"volumetric-efficiency-engine","title":"Volumetric Efficiency Engine","description":"Calculate engine volumetric efficiency.","category":"engineering","icon":"settings","tags":["automotive","engine"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.352Z"},"rows":[{"text":"# Engine Performance","label":null,"prefix":null,"suffix":null,"section":"Engine Performance","hero":false,"slider":null,"value":null,"display":null},{"text":"actual air flow cfm = 250","label":null,"prefix":null,"suffix":null,"section":"Engine Performance","hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"displacement cubic inches = 350","label":null,"prefix":null,"suffix":null,"section":"Engine Performance","hidden":false,"hero":false,"slider":null,"value":350,"display":"350"},{"text":"rpm = 5000","label":null,"prefix":null,"suffix":null,"section":"Engine Performance","hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_theoretical_air_flow_cfm = (displacement cubic inches * rpm) / 3456","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":506.36574074074076,"display":"506.3657"},{"text":"volumetric efficiency percent = (actual air flow cfm / theoretical_air_flow_cfm) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":49.37142857142857,"display":"49.3714"}]},{"id":"waist-to-hip-ratio","title":"Waist To Hip Ratio","description":"Calculate waist-to-hip ratio and check WHO health guidelines.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.353Z"},"rows":[{"text":"# Measurements","label":null,"prefix":null,"suffix":null,"section":"Measurements","hero":false,"slider":null,"value":null,"display":null},{"text":"waist circumference = 34 // inches 20..60","label":null,"prefix":null,"suffix":"inches","section":"Measurements","hidden":false,"hero":false,"slider":{"min":20,"max":60,"step":1},"value":34,"display":"34"},{"text":"hip circumference = 40 // inches 20..80","label":null,"prefix":null,"suffix":"inches","section":"Measurements","hidden":false,"hero":false,"slider":{"min":20,"max":80,"step":1},"value":40,"display":"40"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"waist to hip ratio = waist circumference / hip circumference // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0.85,"display":"0.85"},{"text":"# Health Indicators (WHO)","label":null,"prefix":null,"suffix":null,"section":"Health Indicators (WHO)","hero":false,"slider":null,"value":null,"display":null},{"text":"is healthy male = waist to hip ratio <= 0.9","label":null,"prefix":null,"suffix":null,"section":"Health Indicators (WHO)","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"is healthy female = waist to hip ratio <= 0.85","label":null,"prefix":null,"suffix":null,"section":"Health Indicators (WHO)","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"}]},{"id":"walking-calories","title":"Walking Calories","description":"Estimate calories burned from walking distance and pace.","category":"health","icon":"footprints","tags":["calories"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.353Z"},"rows":[{"text":"# Walk Details","label":null,"prefix":null,"suffix":null,"section":"Walk Details","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight = 160 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Walk Details","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":160,"display":"160"},{"text":"distance = 3 // miles 0.5..20 by 0.5","label":null,"prefix":null,"suffix":"miles","section":"Walk Details","hidden":false,"hero":false,"slider":{"min":0.5,"max":20,"step":0.5},"value":3,"display":"3"},{"text":"pace = 3.0 // mph 1.5..5 by 0.5","label":null,"prefix":null,"suffix":"mph","section":"Walk Details","hidden":false,"hero":false,"slider":{"min":1.5,"max":5,"step":0.5},"value":3,"display":"3"},{"text":"# Time","label":null,"prefix":null,"suffix":null,"section":"Time","hero":false,"slider":null,"value":null,"display":null},{"text":"walking time = round(distance / pace * 60) // min @hero","label":null,"prefix":null,"suffix":"min","section":"Time","hidden":false,"hero":true,"slider":null,"value":60,"display":"60"},{"text":"# Calories Burned","label":null,"prefix":null,"suffix":null,"section":"Calories Burned","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = body weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Calories Burned","hidden":false,"hero":false,"slider":null,"value":72.57472,"display":"72.5747"},{"text":"met value = 2.0 + pace // approximate MET","label":null,"prefix":null,"suffix":"approximate MET","section":"Calories Burned","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"calories burned = round(met value * weight kg * (walking time / 60)) // cal","label":null,"prefix":null,"suffix":"cal","section":"Calories Burned","hidden":false,"hero":false,"slider":null,"value":363,"display":"363"},{"text":"calories per mile = round(calories burned / distance) // cal/mile","label":null,"prefix":null,"suffix":"cal/mile","section":"Calories Burned","hidden":false,"hero":false,"slider":null,"value":121,"display":"121"}]},{"id":"wallpaper-pattern-match-waste","title":"Wallpaper Pattern Waste","description":"Calculate extra length needed for pattern matching.","category":"construction","icon":"scroll","tags":["construction","design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.353Z"},"rows":[{"text":"wall_height_inches = 96 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":96,"display":"96"},{"text":"pattern_repeat_inches = 21 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":21,"display":"21"},{"text":"@hero total_strip_length_needed_inches = ceil(wall_height_inches / pattern_repeat_inches) * pattern_repeat_inches // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":105,"display":"105"},{"text":"waste_percent = (total_strip_length_needed_inches - wall_height_inches) / wall_height_inches * 100 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":9.375,"display":"9.375"}]},{"id":"wallpaper-roll-calculator","title":"Wallpaper Roll Calculator","description":"Estimate wallpaper rolls needed from wall dimensions and pattern repeat.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.353Z"},"rows":[{"text":"# Wall Dimensions","label":null,"prefix":null,"suffix":null,"section":"Wall Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"wall length = 12 // feet","label":null,"prefix":null,"suffix":"feet","section":"Wall Dimensions","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"wall height = 8 // feet","label":null,"prefix":null,"suffix":"feet","section":"Wall Dimensions","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"number of walls = 4 // 1..10","label":null,"prefix":null,"suffix":null,"section":"Wall Dimensions","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":4,"display":"4"},{"text":"# Wallpaper Roll Info","label":null,"prefix":null,"suffix":null,"section":"Wallpaper Roll Info","hero":false,"slider":null,"value":null,"display":null},{"text":"roll width = 20.5 // inches","label":null,"prefix":null,"suffix":"inches","section":"Wallpaper Roll Info","hidden":false,"hero":false,"slider":null,"value":20.5,"display":"20.5"},{"text":"roll length = 33 // feet","label":null,"prefix":null,"suffix":"feet","section":"Wallpaper Roll Info","hidden":false,"hero":false,"slider":null,"value":33,"display":"33"},{"text":"pattern repeat = 20 // inches 0..40","label":null,"prefix":null,"suffix":"inches","section":"Wallpaper Roll Info","hidden":false,"hero":false,"slider":{"min":0,"max":40,"step":1},"value":20,"display":"20"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_wall_area = wall length * wall height * number of walls","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":384,"display":"384"},{"text":"# Approximate usable area per roll (accounting for pattern match)","label":null,"prefix":null,"suffix":null,"section":"Approximate usable area per roll (accounting for pattern match)","hero":false,"slider":null,"value":null,"display":null},{"text":"_roll_width_feet = roll width / 12","label":null,"prefix":null,"suffix":null,"section":"Approximate usable area per roll (accounting for pattern match)","hidden":true,"hero":false,"slider":null,"value":1.7083333333333333,"display":"1.7083"},{"text":"_usable_roll_length = roll length - (pattern repeat / 12)","label":null,"prefix":null,"suffix":null,"section":"Approximate usable area per roll (accounting for pattern match)","hidden":true,"hero":false,"slider":null,"value":31.333333333333332,"display":"31.3333"},{"text":"_roll_area = roll_width_feet * usable_roll_length","label":null,"prefix":null,"suffix":null,"section":"Approximate usable area per roll (accounting for pattern match)","hidden":true,"hero":false,"slider":null,"value":53.52777777777778,"display":"53.5278"},{"text":"rolls needed = roundup(total_wall_area / roll_area) // @hero","label":null,"prefix":null,"suffix":null,"section":"Approximate usable area per roll (accounting for pattern match)","hidden":false,"hero":true,"slider":null,"value":8,"display":"8"},{"text":"total rolls with waste = roundup(rolls needed * 1.1)","label":null,"prefix":null,"suffix":null,"section":"Approximate usable area per roll (accounting for pattern match)","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"}]},{"id":"warehouse-space-utilization","title":"Warehouse Space Utilization","description":"Measure the efficiency of your warehouse space usage.","category":"business","icon":"maximize","tags":["space"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.353Z"},"rows":[{"text":"actualUsedVolume = 8000 // cubic feet","label":null,"prefix":null,"suffix":"cubic feet","section":null,"hidden":false,"hero":false,"slider":null,"value":8000,"display":"8,000"},{"text":"totalUsableVolume = 10000 // cubic feet","label":null,"prefix":null,"suffix":"cubic feet","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"utilizationRate = (actualUsedVolume / totalUsableVolume) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"warehouse-storage-cost","title":"Warehouse Storage Cost","description":"Estimate monthly warehouse costs based on square footage used.","category":"business","icon":"warehouse","tags":["storage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.354Z"},"rows":[{"text":"occupiedSquareFeet = 1000 // square feet","label":null,"prefix":null,"suffix":"square feet","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"monthlyCostPerSquareFoot = 1.50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"totalMonthlyStorageCost = occupiedSquareFeet * monthlyCostPerSquareFoot","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1500,"display":"1,500"}]},{"id":"washing-machine-water-efficiency","title":"Washing Machine Water Efficiency","description":"Calculate annual water savings with a high-efficiency washer.","category":"everyday","icon":"washing-machine","tags":["eco","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.354Z"},"rows":[{"text":"loads_per_week = 5 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"old_machine_liters_per_load = 150 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"new_machine_liters_per_load = 50 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"weeks_per_year = 52 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":52,"display":"52"},{"text":"@hero annual_water_savings_liters = loads_per_week * (old_machine_liters_per_load - new_machine_liters_per_load) * weeks_per_year // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":26000,"display":"26,000"}]},{"id":"water-intake","title":"Water Intake","description":"Calculate daily water needs based on weight and activity level.","category":"health","icon":"droplet","tags":["water","hydration","health"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.354Z"},"rows":[{"text":"# Your Info","label":null,"prefix":null,"suffix":null,"section":"Your Info","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight = 160 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Your Info","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":160,"display":"160"},{"text":"activity factor = 1.0 // 0.5..2 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Your Info","hidden":false,"hero":false,"slider":{"min":0.5,"max":2,"step":0.1},"value":1,"display":"1"},{"text":"# Daily Water Needs","label":null,"prefix":null,"suffix":null,"section":"Daily Water Needs","hero":false,"slider":null,"value":null,"display":null},{"text":"base ounces = body weight * 0.5 // oz","label":null,"prefix":null,"suffix":"oz","section":"Daily Water Needs","hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"daily ounces = round(base ounces * activity factor) // oz @hero","label":null,"prefix":null,"suffix":"oz","section":"Daily Water Needs","hidden":false,"hero":true,"slider":null,"value":80,"display":"80"},{"text":"daily liters = round(daily ounces * 0.0295735 * 10) / 10 // L","label":null,"prefix":null,"suffix":"L","section":"Daily Water Needs","hidden":false,"hero":false,"slider":null,"value":2.4,"display":"2.4"},{"text":"glasses per day = round(daily ounces / 8) // glasses (8 oz each)","label":null,"prefix":null,"suffix":"glasses (8 oz each)","section":"Daily Water Needs","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"}]},{"id":"water-tank-volume","title":"Water Tank Volume","description":"Calculate the volume of a cylindrical water tank in gallons.","category":"health","icon":"droplet","tags":["water","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.354Z"},"rows":[{"text":"radius = 5 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"height = 10 // feet","label":null,"prefix":null,"suffix":"feet","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"pi = 3.14159","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.14159,"display":"3.1416"},{"text":"volume_cubic_feet = pi * radius * radius * height // cubic feet","label":null,"prefix":null,"suffix":"cubic feet","section":null,"hidden":false,"hero":false,"slider":null,"value":785.3975,"display":"785.3975"},{"text":"gallons_per_cubic_foot = 7.48052","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.48052,"display":"7.4805"},{"text":"volume_gallons = volume_cubic_feet * gallons_per_cubic_foot // gallons","label":null,"prefix":null,"suffix":"gallons","section":null,"hidden":false,"hero":true,"slider":null,"value":5875.1817067,"display":"5,875.1817"}]},{"id":"wcag-color-contrast-checker","title":"Wcag Color Contrast Checker","description":"Calculate WCAG color contrast ratio and check AA and AAA compliance.","category":"design","icon":"palette","tags":["color"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.355Z"},"rows":[{"text":"luminance_1 = 1.0 // white","label":null,"prefix":null,"suffix":"white","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"luminance_2 = 0.05 // dark gray","label":null,"prefix":null,"suffix":"dark gray","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"@hero contrast_ratio = (luminance_1 + 0.05) / (luminance_2 + 0.05)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10.5,"display":"10.5"},{"text":"_pass_aa_normal = contrast_ratio >= 4.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"_pass_aaa_normal = contrast_ratio >= 7.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":true,"display":"true"}]},{"id":"website-uptime-availability-table","title":"Website Uptime Availability Table","description":"Calculate hours of allowed downtime per year from an uptime SLA percentage.","category":"productivity","icon":"clock","tags":["uptime","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.355Z"},"rows":[{"text":"uptime_percentage = 99.9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":99.9,"display":"99.9"},{"text":"total_seconds_in_year = 365 * 24 * 60 * 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":31536000,"display":"31,536,000"},{"text":"downtime_seconds_per_year = total_seconds_in_year * (1 - (uptime_percentage / 100))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":31536,"display":"31,536"},{"text":"downtime_minutes_per_year = downtime_seconds_per_year / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":525.6,"display":"525.6"},{"text":"downtime_hours_per_year = downtime_minutes_per_year / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8.76,"display":"8.76"}]},{"id":"wedding-budget-planner","title":"Wedding Budget Planner","description":"Estimate total wedding cost from guest count, per-guest costs, and fixed costs.","category":"finance","icon":"dollar-sign","tags":["budget","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.355Z"},"rows":[{"text":"# Guest List","label":null,"prefix":null,"suffix":null,"section":"Guest List","hero":false,"slider":null,"value":null,"display":null},{"text":"guest count = 100 // people","label":null,"prefix":null,"suffix":"people","section":"Guest List","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"# Costs per person","label":null,"prefix":null,"suffix":null,"section":"Costs per person","hero":false,"slider":null,"value":null,"display":null},{"text":"catering per guest = 75 // $","label":null,"prefix":null,"suffix":"$","section":"Costs per person","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"drinks per guest = 30 // $","label":null,"prefix":null,"suffix":"$","section":"Costs per person","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# Fixed Costs","label":null,"prefix":null,"suffix":null,"section":"Fixed Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"venue cost = 5000 // $","label":null,"prefix":null,"suffix":"$","section":"Fixed Costs","hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"photography = 2500 // $","label":null,"prefix":null,"suffix":"$","section":"Fixed Costs","hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"music = 1500 // $","label":null,"prefix":null,"suffix":"$","section":"Fixed Costs","hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_guest_cost = guest count * (catering per guest + drinks per guest)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":10500,"display":"10,500"},{"text":"_total_fixed_cost = venue cost + photography + music","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":9000,"display":"9,000"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"estimated total cost = total_guest_cost + total_fixed_cost // $ @hero @prefix($)","label":null,"prefix":null,"suffix":"$","section":"Result","hidden":false,"hero":true,"slider":null,"value":19500,"display":"19,500"},{"text":"cost per guest average = estimated total cost / guest count // $ @hero @prefix($)","label":null,"prefix":null,"suffix":"$","section":"Result","hidden":false,"hero":true,"slider":null,"value":195,"display":"195"}]},{"id":"weight-converter","title":"Weight Converter","description":"Convert between pounds, kilograms, ounces, stones, and metric tons.","category":"conversion","icon":"scale","tags":["mass"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.355Z"},"rows":[{"text":"# Input Weight","label":null,"prefix":null,"suffix":null,"section":"Input Weight","hero":false,"slider":null,"value":null,"display":null},{"text":"pounds = 150 // lbs 1..1k","label":null,"prefix":null,"suffix":"lbs","section":"Input Weight","hidden":false,"hero":false,"slider":{"min":1,"max":1000,"step":1},"value":150,"display":"150"},{"text":"# Metric","label":null,"prefix":null,"suffix":null,"section":"Metric","hero":false,"slider":null,"value":null,"display":null},{"text":"kilograms = pounds * 0.453592 // kg @hero","label":null,"prefix":null,"suffix":"kg","section":"Metric","hidden":false,"hero":true,"slider":null,"value":68.0388,"display":"68.0388"},{"text":"grams = kilograms * 1000 // g","label":null,"prefix":null,"suffix":"g","section":"Metric","hidden":false,"hero":false,"slider":null,"value":68038.8,"display":"68,038.8"},{"text":"# Imperial","label":null,"prefix":null,"suffix":null,"section":"Imperial","hero":false,"slider":null,"value":null,"display":null},{"text":"ounces = pounds * 16 // oz","label":null,"prefix":null,"suffix":"oz","section":"Imperial","hidden":false,"hero":false,"slider":null,"value":2400,"display":"2,400"},{"text":"stones = pounds / 14 // st","label":null,"prefix":null,"suffix":"st","section":"Imperial","hidden":false,"hero":false,"slider":null,"value":10.714285714285714,"display":"10.7143"},{"text":"# Other","label":null,"prefix":null,"suffix":null,"section":"Other","hero":false,"slider":null,"value":null,"display":null},{"text":"metric tons = kilograms / 1000 // tonnes","label":null,"prefix":null,"suffix":"tonnes","section":"Other","hidden":false,"hero":false,"slider":null,"value":0.0680388,"display":"0.068"},{"text":"short tons US = pounds / 2000 // tons","label":null,"prefix":null,"suffix":"tons","section":"Other","hidden":false,"hero":false,"slider":null,"value":0.075,"display":"0.075"},{"text":"# Quick References","label":null,"prefix":null,"suffix":null,"section":"Quick References","hero":false,"slider":null,"value":null,"display":null},{"text":"one kg in lbs = 1 / 0.453592 // lbs @label(1 kg =)","label":"1 kg =","prefix":null,"suffix":"lbs","section":"Quick References","hidden":false,"hero":false,"slider":null,"value":2.2046244201837775,"display":"2.2046"},{"text":"one oz in grams = 28.3495 // g @label(1 oz =)","label":"1 oz =","prefix":null,"suffix":"g","section":"Quick References","hidden":false,"hero":false,"slider":null,"value":28.3495,"display":"28.3495"}]},{"id":"weighted-average-calculator","title":"Weighted Average Calculator","description":"Calculate a weighted average across four value-weight pairs.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.356Z"},"rows":[{"text":"# Values and Weights","label":null,"prefix":null,"suffix":null,"section":"Values and Weights","hero":false,"slider":null,"value":null,"display":null},{"text":"v1 = 90","label":null,"prefix":null,"suffix":null,"section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"w1 = 1 // weight","label":null,"prefix":null,"suffix":"weight","section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"v2 = 80","label":null,"prefix":null,"suffix":null,"section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"w2 = 2 // weight","label":null,"prefix":null,"suffix":"weight","section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"v3 = 70","label":null,"prefix":null,"suffix":null,"section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"w3 = 1 // weight","label":null,"prefix":null,"suffix":"weight","section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"v4 = 0","label":null,"prefix":null,"suffix":null,"section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"w4 = 0 // weight (not used)","label":null,"prefix":null,"suffix":"weight (not used)","section":"Values and Weights","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_weights = w1 + w2 + w3 + w4","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"_weighted_sum = (v1 * w1) + (v2 * w2) + (v3 * w3) + (v4 * w4)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":320,"display":"320"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"weighted average = weighted_sum / total_weights","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"weighted-average-cost-of-capital-wacc","title":"Weighted Average Cost of Capital Wacc","description":"Calculate WACC from equity, debt, costs of capital, and tax rate.","category":"health","icon":"activity","tags":["capital","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.356Z"},"rows":[{"text":"equity_value = 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"debt_value = 500000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"cost_of_equity = 0.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"cost_of_debt = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"tax_rate = 0.21","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.21,"display":"0.21"},{"text":"total_value = equity_value + debt_value","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1500000,"display":"1,500,000"},{"text":"weighted_average_cost_of_capital = (equity_value / total_value) * cost_of_equity + (debt_value / total_value) * cost_of_debt * (1 - tax_rate)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.07983333333333333,"display":"0.0798"}]},{"id":"weld-strength-fillet","title":"Weld Strength Fillet","description":"Calculate allowable load for a fillet weld joint.","category":"engineering","icon":"flame","tags":["engineering"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.356Z"},"rows":[{"text":"weld_leg_size_inches = 0.25 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"weld_length_inches = 6 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"electrode_strength_psi = 70000 // psi (E70)","label":null,"prefix":null,"suffix":"psi (E70)","section":null,"hidden":false,"hero":false,"slider":null,"value":70000,"display":"70,000"},{"text":"throat_thickness = 0.707 * weld_leg_size_inches","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.17675,"display":"0.1768"},{"text":"@hero allowable_load_lbs = 0.3 * electrode_strength_psi * throat_thickness * weld_length_inches // lbs (using 0.3 factor)","label":null,"prefix":null,"suffix":"lbs (using 0.3 factor)","section":null,"hidden":false,"hero":true,"slider":null,"value":22270.5,"display":"22,270.5"}]},{"id":"wheel-offset-backspacing","title":"Wheel Offset Backspacing","description":"Calculate wheel backspacing from width and offset.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.356Z"},"rows":[{"text":"# Wheel Stats","label":null,"prefix":null,"suffix":null,"section":"Wheel Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"wheel width inches = 9","label":null,"prefix":null,"suffix":null,"section":"Wheel Stats","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"offset millimeters = 35","label":null,"prefix":null,"suffix":null,"section":"Wheel Stats","hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_center_line_inches = wheel width inches / 2","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"_offset_inches = offset millimeters / 25.4","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":1.3779527559055118,"display":"1.378"},{"text":"backspacing inches = center_line_inches + offset_inches + 0.5","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":6.377952755905512,"display":"6.378"}]},{"id":"whistleblower-award-estimate","title":"Whistleblower Award","description":"Estimate potential rewards for reporting regulatory violations.","category":"other","icon":"dollar-sign","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.357Z"},"rows":[{"text":"sanctionsCollected = 1000000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"awardPercentage = 15 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"estimatedAward = sanctionsCollected * (awardPercentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":150000,"display":"150,000"}]},{"id":"wildlife-habitat-area-calculator","title":"Wildlife Habitat Area","description":"Calculate usable habitat area after accounting for development.","category":"science","icon":"bug","tags":["science","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.357Z"},"rows":[{"text":"total_land_area_hectares = 1000 // hectares","label":null,"prefix":null,"suffix":"hectares","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"development_area_hectares = 200 // hectares","label":null,"prefix":null,"suffix":"hectares","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"fragmentation_buffer_meters = 100 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"remaining_area = total_land_area_hectares - development_area_hectares // hectares","label":null,"prefix":null,"suffix":"hectares","section":null,"hidden":false,"hero":false,"slider":null,"value":800,"display":"800"},{"text":"@hero usable_wildlife_habitat_hectares = remaining_area * 0.8 // estimated usable area after fragmentation","label":null,"prefix":null,"suffix":"estimated usable area after fragmentation","section":null,"hidden":false,"hero":true,"slider":null,"value":640,"display":"640"}]},{"id":"wilks-coefficient","title":"Wilks Coefficient","description":"Calculate Wilks score to compare powerlifting totals across body weights.","category":"other","icon":"calculator","tags":["coefficient"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.357Z"},"rows":[{"text":"# Lifter Stats","label":null,"prefix":null,"suffix":null,"section":"Lifter Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight = 80 // kg 40..200","label":null,"prefix":null,"suffix":"kg","section":"Lifter Stats","hidden":false,"hero":false,"slider":{"min":40,"max":200,"step":1},"value":80,"display":"80"},{"text":"total weight lifted = 400 // kg 50..1.2k","label":null,"prefix":null,"suffix":"kg","section":"Lifter Stats","hidden":false,"hero":false,"slider":{"min":50,"max":1200,"step":20},"value":400,"display":"400"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Lifter Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Wilks Coefficients (Male)","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Male)","hero":false,"slider":null,"value":null,"display":null},{"text":"am = -216.0475144","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Male)","hidden":false,"hero":false,"slider":null,"value":-216.0475144,"display":"-216.0475"},{"text":"bm = 16.2606339","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Male)","hidden":false,"hero":false,"slider":null,"value":16.2606339,"display":"16.2606"},{"text":"cm = -0.002388645","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Male)","hidden":false,"hero":false,"slider":null,"value":-0.002388645,"display":"-0.002389"},{"text":"dm = -0.00113732","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Male)","hidden":false,"hero":false,"slider":null,"value":-0.00113732,"display":"-0.001137"},{"text":"em = 7.01863E-06","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Male)","hidden":false,"hero":false,"slider":null,"value":0.00000701863,"display":"0.000007019"},{"text":"fm = -1.291E-08","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Male)","hidden":false,"hero":false,"slider":null,"value":-1.291e-8,"display":"-1.291e-8"},{"text":"# Wilks Coefficients (Female)","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Female)","hero":false,"slider":null,"value":null,"display":null},{"text":"af = 594.3174777","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Female)","hidden":false,"hero":false,"slider":null,"value":594.3174777,"display":"594.3175"},{"text":"bf = -27.23842536","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Female)","hidden":false,"hero":false,"slider":null,"value":-27.23842536,"display":"-27.2384"},{"text":"cf = 0.8211222687","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Female)","hidden":false,"hero":false,"slider":null,"value":0.8211222687,"display":"0.8211"},{"text":"df = -0.0093073391","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Female)","hidden":false,"hero":false,"slider":null,"value":-0.0093073391,"display":"-0.009307"},{"text":"ef = 4.731582E-05","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Female)","hidden":false,"hero":false,"slider":null,"value":0.00004731582,"display":"0.00004732"},{"text":"ff = -9.054E-08","label":null,"prefix":null,"suffix":null,"section":"Wilks Coefficients (Female)","hidden":false,"hero":false,"slider":null,"value":-9.054e-8,"display":"-9.054e-8"},{"text":"# Polynomials","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hero":false,"slider":null,"value":null,"display":null},{"text":"weight squared = body weight^2","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":6400,"display":"6,400"},{"text":"weight cubed = body weight^3","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":512000,"display":"512,000"},{"text":"weight four = body weight^4","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":40960000,"display":"40,960,000"},{"text":"weight five = body weight^5","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":3276800000,"display":"3,276,800,000"},{"text":"denominator male = am + (bm * body weight) + (cm * weight squared) + (dm * weight cubed) + (em * weight four) + (fm * weight five)","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":732.3876264,"display":"732.3876"},{"text":"denominator female = af + (bf * body weight) + (cf * weight squared) + (df * weight cubed) + (ef * weight four) + (ff * weight five)","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":546.44286458,"display":"546.4429"},{"text":"coefficient male = 500 / denominator male","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":0.6826985901683169,"display":"0.6827"},{"text":"coefficient female = 500 / denominator female","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":0.9150087454876068,"display":"0.915"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"wilks coefficient = is male * coefficient male + (1 - is male) * coefficient female","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":0.6826985901683169,"display":"0.6827"},{"text":"wilks score = total weight lifted * wilks coefficient","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":273.07943606732675,"display":"273.0794"}]},{"id":"willpower-depletion-tracker","title":"Willpower Depletion Tracker","description":"Estimate remaining willpower from decisions made and current energy level.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.357Z"},"rows":[{"text":"decisions_made = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"energy_level_1_to_10 = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"remaining_willpower = (energy_level_1_to_10 * 10) - (decisions_made * 0.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"wind-chill-advanced","title":"Wind Chill Advanced","description":"Calculate wind chill using the NWS formula with frostbite risk indicators.","category":"science","icon":"wind","tags":["wind","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.357Z"},"rows":[{"text":"# Weather Conditions","label":null,"prefix":null,"suffix":null,"section":"Weather Conditions","hero":false,"slider":null,"value":null,"display":null},{"text":"air temperature = 20 // fahrenheit -50..50","label":null,"prefix":null,"suffix":"fahrenheit","section":"Weather Conditions","hidden":false,"hero":false,"slider":{"min":-50,"max":50,"step":1},"value":20,"display":"20"},{"text":"wind speed = 15 // mph 3..100","label":null,"prefix":null,"suffix":"mph","section":"Weather Conditions","hidden":false,"hero":false,"slider":{"min":3,"max":100,"step":1},"value":15,"display":"15"},{"text":"# NWS Formula (2001)","label":null,"prefix":null,"suffix":null,"section":"NWS Formula (2001)","hero":false,"slider":null,"value":null,"display":null},{"text":"# 35.74 + 0.6215*T - 35.75*V^0.16 + 0.4275*T*V^0.16","label":null,"prefix":null,"suffix":null,"section":"35.74 + 0.6215*T - 35.75*V^0.16 + 0.4275*T*V^0.16","hero":false,"slider":null,"value":null,"display":null},{"text":"wind speed factor = wind speed^0.16","label":null,"prefix":null,"suffix":null,"section":"35.74 + 0.6215*T - 35.75*V^0.16 + 0.4275*T*V^0.16","hidden":false,"hero":false,"slider":null,"value":1.5423203946292696,"display":"1.5423"},{"text":"wind chill result = 35.74 + (0.6215 * air temperature) - (35.75 * wind speed factor) + (0.4275 * air temperature * wind speed factor)","label":null,"prefix":null,"suffix":null,"section":"35.74 + 0.6215*T - 35.75*V^0.16 + 0.4275*T*V^0.16","hidden":false,"hero":false,"slider":null,"value":6.218885266083866,"display":"6.2189"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"wind chill = wind chill result // fahrenheit @hero","label":null,"prefix":null,"suffix":"fahrenheit","section":"Result","hidden":false,"hero":true,"slider":null,"value":6.218885266083866,"display":"6.2189"},{"text":"# Frostbite Risk","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hero":false,"slider":null,"value":null,"display":null},{"text":"is risky = wind chill < -15","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"minutes to frostbite = if(wind chill < -50, 5, if(wind chill < -35, 10, 30))","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"temperature in celsius = (air temperature - 32) * 5 / 9","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":-6.666666666666667,"display":"-6.6667"},{"text":"wind chill in celsius = (wind chill - 32) * 5 / 9","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":-14.322841518842296,"display":"-14.3228"}]},{"id":"wind-chill-geographic","title":"Wind Chill Geographic","description":"Calculate wind chill in Celsius from temperature and wind speed.","category":"science","icon":"globe","tags":["wind"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.358Z"},"rows":[{"text":"temperature_celsius = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"wind_speed_km_h = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"wind_chill = 13.12 + 0.6215 * temperature_celsius - 11.37 * wind_speed_km_h^0.16 + 0.3965 * temperature_celsius * wind_speed_km_h^0.16","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":-5.242223279780936,"display":"-5.2422"}]},{"id":"wind-direction-vector-addition","title":"Wind Direction Vector Addition","description":"Calculate the resultant wind speed from two wind vectors at different directions.","category":"science","icon":"wind","tags":["wind","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.358Z"},"rows":[{"text":"wind_1_speed = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"wind_1_direction = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"wind_2_speed = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"wind_2_direction = 90","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"x_component = wind_1_speed * cos(wind_1_direction * pi / 180) + wind_2_speed * cos(wind_2_direction * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":14.998121084297408,"display":"14.9981"},{"text":"y_component = wind_1_speed * sin(wind_1_direction * pi / 180) + wind_2_speed * sin(wind_2_direction * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.13706066796022143,"display":"0.1371"},{"text":"resultant_speed = (x_component ** 2 + y_component ** 2) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":14.998747337226137,"display":"14.9987"}]},{"id":"wind-turbine-power-output","title":"Wind Turbine Power Output","description":"Calculate wind turbine power output in watts from rotor radius and wind speed.","category":"science","icon":"wind","tags":["wind","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.358Z"},"rows":[{"text":"air_density_kilograms_per_cubic_meter = 1.225","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"rotor_radius_meters = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"wind_speed_meters_per_second = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"power_coefficient = 0.4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.4,"display":"0.4"},{"text":"swept_area_square_meters = 3.14159 * rotor_radius_meters ** 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":78.53975,"display":"78.5398"},{"text":"power_output_watts = 0.5 * air_density_kilograms_per_cubic_meter * swept_area_square_meters * wind_speed_meters_per_second ** 3 * power_coefficient","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":19242.23875,"display":"19,242.2388"}]},{"id":"window-u-factor-heat-loss","title":"Window U-Factor Heat Loss","description":"Calculate hourly BTU loss through window glass.","category":"engineering","icon":"thermometer-snowflake","tags":["engineering","home"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.358Z"},"rows":[{"text":"window_area_sq_ft = 15 // sq ft","label":null,"prefix":null,"suffix":"sq ft","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"u_factor = 0.3 // BTU/hr-sqft-F","label":null,"prefix":null,"suffix":"BTU/hr-sqft-F","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"outdoor_temp_fahrenheit = 30 // F","label":null,"prefix":null,"suffix":"F","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"indoor_temp_fahrenheit = 70 // F","label":null,"prefix":null,"suffix":"F","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"@hero hourly_heat_loss_btu = window_area_sq_ft * u_factor * (indoor_temp_fahrenheit - outdoor_temp_fahrenheit) // BTU/hr","label":null,"prefix":null,"suffix":"BTU/hr","section":null,"hidden":false,"hero":true,"slider":null,"value":180,"display":"180"}]},{"id":"wine-abv-calculator","title":"Wine Abv Calculator","description":"Calculate wine ABV and attenuation from original and final gravity.","category":"other","icon":"wine","tags":["abv"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.359Z"},"rows":[{"text":"# Fermentation","label":null,"prefix":null,"suffix":null,"section":"Fermentation","hero":false,"slider":null,"value":null,"display":null},{"text":"original gravity = 1.090 // 1..1.15","label":null,"prefix":null,"suffix":null,"section":"Fermentation","hidden":false,"hero":false,"slider":{"min":1,"max":1.15,"step":0.002},"value":1.09,"display":"1.09"},{"text":"final gravity = 0.995 // 0.98..1.05","label":null,"prefix":null,"suffix":null,"section":"Fermentation","hidden":false,"hero":false,"slider":{"min":0.98,"max":1.05,"step":0.001},"value":0.995,"display":"0.995"},{"text":"# Standard Formula","label":null,"prefix":null,"suffix":null,"section":"Standard Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"abv = (original gravity - final gravity) * 131.25","label":null,"prefix":null,"suffix":null,"section":"Standard Formula","hidden":false,"hero":false,"slider":null,"value":12.46875,"display":"12.4688"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"alcohol by volume = abv // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":12.46875,"display":"12.4688"},{"text":"# Alternative Formula (More accurate for high ABV)","label":null,"prefix":null,"suffix":null,"section":"Alternative Formula (More accurate for high ABV)","hero":false,"slider":null,"value":null,"display":null},{"text":"abv high = (76.08 * (original gravity - final gravity) / (1.775 - original gravity)) * (final gravity / 0.794)","label":null,"prefix":null,"suffix":null,"section":"Alternative Formula (More accurate for high ABV)","hidden":false,"hero":false,"slider":null,"value":13.222272886061521,"display":"13.2223"},{"text":"attenuation = (original gravity - final gravity) / (original gravity - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Alternative Formula (More accurate for high ABV)","hidden":false,"hero":false,"slider":null,"value":105.55555555555556,"display":"105.5556"}]},{"id":"wine-sulfite-addition","title":"Wine Sulfite Addition","description":"Calculate grams of potassium metabisulfite needed to reach a target SO2 level.","category":"other","icon":"wine","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.359Z"},"rows":[{"text":"wine_volume_gallons = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"desired_free_so2_ppm = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"current_free_so2_ppm = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"kmbs_strength_percent = 57","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":57,"display":"57"},{"text":"so2_needed_ppm = desired_free_so2_ppm - current_free_so2_ppm","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero kmbs_grams_needed = (so2_needed_ppm * wine_volume_gallons * 3.785) / (1000 * (kmbs_strength_percent / 100))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.6640350877192982,"display":"0.664"}]},{"id":"word-count-to-speech-duration","title":"Word Count To Speech Duration","description":"Estimate spoken speech duration in minutes from word count.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.359Z"},"rows":[{"text":"word_count = 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"speech_speed_wpm = 130 // words per minute","label":null,"prefix":null,"suffix":"words per minute","section":null,"hidden":false,"hero":false,"slider":null,"value":130,"display":"130"},{"text":"@hero duration_minutes = word_count / speech_speed_wpm // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":7.6923076923076925,"display":"7.6923"}]},{"id":"work-done-constant-force","title":"Work Done Constant Force","description":"Calculate work done by a constant force in joules from force and displacement.","category":"education","icon":"book-open","tags":["work"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.359Z"},"rows":[{"text":"force = 10 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"distance = 5 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"angle_degrees = 0 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"@hero work = force * distance * cos(angle_degrees * pi / 180) // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"work-life-balance-weekly-hours","title":"Work Life Balance Weekly Hours","description":"Calculate weekly leisure hours and work-to-leisure ratio.","category":"productivity","icon":"clock","tags":["work","life"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.360Z"},"rows":[{"text":"work_hours = 45 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"sleep_hours = 56 // hours (8 per day)","label":null,"prefix":null,"suffix":"hours (8 per day)","section":null,"hidden":false,"hero":false,"slider":null,"value":56,"display":"56"},{"text":"essential_chores_hours = 14 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":14,"display":"14"},{"text":"@hero leisure_time_remaining = 168 - work_hours - sleep_hours - essential_chores_hours // hours per week","label":null,"prefix":null,"suffix":"hours per week","section":null,"hidden":false,"hero":true,"slider":null,"value":53,"display":"53"},{"text":"@hero work_leisure_ratio = work_hours / leisure_time_remaining","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.8490566037735849,"display":"0.8491"}]},{"id":"workers-compensation-benefit-estimate","title":"Worker's Comp Benefit","description":"Estimate weekly benefits for workplace injury compensation.","category":"other","icon":"heart","tags":["benefit"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.360Z"},"rows":[{"text":"averageWeeklyWage = 1200 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"benefitRatePercentage = 66.67 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":66.67,"display":"66.67"},{"text":"weeklyBenefit = averageWeeklyWage * (benefitRatePercentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":800.04,"display":"800.04"}]},{"id":"working-capital","title":"Working Capital","description":"Calculate working capital and current ratio from current assets and liabilities.","category":"other","icon":"calculator","tags":["capital"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.360Z"},"rows":[{"text":"# Liquidity Data","label":null,"prefix":null,"suffix":null,"section":"Liquidity Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$current assets = 250000 // 0..10M","label":null,"prefix":"$","suffix":null,"section":"Liquidity Data","hidden":false,"hero":false,"slider":{"min":0,"max":10000000,"step":100000},"value":250000,"display":"$250,000.00"},{"text":"$current liabilities = 150000 // 0..10M","label":null,"prefix":"$","suffix":null,"section":"Liquidity Data","hidden":false,"hero":false,"slider":{"min":0,"max":10000000,"step":100000},"value":150000,"display":"$150,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$working capital = current assets - current liabilities // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":100000,"display":"$100,000.00"},{"text":"current ratio = current assets / current liabilities","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1.6666666666666667,"display":"1.6667"},{"text":"$available for operations = working capital * 0.8 // assuming 20% reserve","label":null,"prefix":"$","suffix":"assuming 20% reserve","section":"Result","hidden":false,"hero":false,"slider":null,"value":80000,"display":"$80,000.00"}]},{"id":"yeast-starter-cell-count","title":"Yeast Starter Cell Count","description":"Estimate billion yeast cells produced in a starter from volume and gravity.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.361Z"},"rows":[{"text":"starter_volume_liters = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"wort_gravity_plato = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero billion_cells_produced = starter_volume_liters * wort_gravity_plato * 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":200,"display":"200"}]},{"id":"yogurt-incubation-time","title":"Yogurt Incubation Time","description":"Estimate yogurt incubation hours from temperature and desired tartness.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.361Z"},"rows":[{"text":"incubation_temperature_fahrenheit = 110","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":110,"display":"110"},{"text":"desired_tartness_level = 5 // 1-10","label":null,"prefix":null,"suffix":"1-10","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero incubation_hours = 5 + (desired_tartness_level - 1) * 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7,"display":"7"}]},{"id":"youtube-revenue-estimator","title":"Youtube Revenue Estimator","description":"Estimate YouTube ad revenue from views, CPM, and revenue share.","category":"finance","icon":"dollar-sign","tags":["revenue","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.361Z"},"rows":[{"text":"total_video_views = 100000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000,"display":"100,000"},{"text":"cost_per_mille = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"revenue_share_percentage = 0.55","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.55,"display":"0.55"},{"text":"estimated_total_earnings = (total_video_views / 1000) * cost_per_mille * revenue_share_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":275,"display":"275"}]},{"id":"z-score-calculator","title":"Z Score Calculator","description":"Calculate the z-score of an observation from population mean and standard deviation.","category":"math","icon":"infinity","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.362Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"observed value = 85","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":null,"value":85,"display":"85"},{"text":"population mean = 75","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"standard deviation = 10","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"z score = (observed value - population mean) / standard deviation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1,"display":"1"}]},{"id":"z-score","title":"Z-Score","description":"Compute a z-score: z = (x − μ) / σ.","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T09:18:02.362Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"x = 85 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":85,"display":"85"},{"text":"mean = 70 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":70,"display":"70"},{"text":"standard_deviation = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# Z-score","label":null,"prefix":null,"suffix":null,"section":"Z-score","hero":false,"slider":null,"value":null,"display":null},{"text":"z_score = (x - mean) / standard_deviation // @label(z)","label":"z","prefix":null,"suffix":null,"section":"Z-score","hidden":false,"hero":true,"slider":null,"value":1.5,"display":"1.5"}]}]}