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Visit with ?lab to flip styles and check coverage.","category":"other","icon":"beaker","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T06:46:02.401Z"},"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":"$12.3K"},{"text":"raw count = 1234567 // @format(raw)","label":null,"prefix":null,"suffix":null,"section":"20. Format: percent and currency","hidden":false,"hero":false,"slider":null,"value":1234567,"display":"1,234,567"},{"text":"# 21. Inline variable interpolation in prose","label":null,"prefix":null,"suffix":null,"section":"21. Inline variable interpolation in prose","hero":false,"slider":null,"value":null,"display":null},{"text":"# 22. Narrative row (markdown-friendly)","label":null,"prefix":null,"suffix":null,"section":"22. Narrative row (markdown-friendly)","hero":false,"slider":null,"value":null,"display":null},{"text":"# 23. Plain comment","label":null,"prefix":null,"suffix":null,"section":"23. Plain comment","hero":false,"slider":null,"value":null,"display":null},{"text":"# 24. Divider","label":null,"prefix":null,"suffix":null,"section":"24. Divider","hero":false,"slider":null,"value":null,"display":null},{"text":"# 25. Quoted string narrative","label":null,"prefix":null,"suffix":null,"section":"25. Quoted string narrative","hero":false,"slider":null,"value":null,"display":null},{"text":"# 26. Comment heading (level 3)","label":null,"prefix":null,"suffix":null,"section":"26. Comment heading (level 3)","hero":false,"slider":null,"value":null,"display":null},{"text":"### A level-3 sub-label","label":null,"prefix":null,"suffix":null,"section":"A level-3 sub-label","hero":false,"slider":null,"value":null,"display":null},{"text":"# 27. End cap — one final hero so the calc has a clear payoff","label":null,"prefix":null,"suffix":null,"section":"27. End cap — one final hero so the calc has a clear payoff","hero":false,"slider":null,"value":null,"display":null},{"text":"$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":"2026-05-14T06:21:00.077Z"},"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":"2026-05-16T02:19:40.609Z"},"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 (m/s²))","label":"a (m/s²)","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":"2026-05-16T06:46:02.402Z"},"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 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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":"2026-05-15T23:14:17.705Z"},"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 * 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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","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":"2026-05-15T23:14:17.765Z"},"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":"2026-05-16T02:19:40.611Z"},"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 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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":"2026-05-16T02:19:40.612Z"},"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":"2026-05-16T02:19:40.612Z"},"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 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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":"2026-05-16T02:19:40.612Z"},"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","label":null,"prefix":null,"suffix":"%","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"crewmate probability = 100 - imposter probability // % @hero","label":null,"prefix":null,"suffix":"%","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":"2026-05-16T06:46:02.403Z"},"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 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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":"2026-05-16T00:04:43.552Z"},"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 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(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":"2026-05-16T00:36:27.878Z"},"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":"2026-05-16T02:19:40.613Z"},"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":"2026-05-15T23:14:17.721Z"},"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 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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":"2026-05-16T06:46:02.405Z"},"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 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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":"2026-05-16T02:19:40.614Z"},"rows":[{"text":"# Sequence parameters","label":null,"prefix":null,"suffix":null,"section":"Sequence 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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":"2026-05-16T02:19:40.614Z"},"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":"2026-05-16T00:43:39.857Z"},"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":"2026-05-16T02:19:40.614Z"},"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":"2026-05-15T23:14:17.754Z"},"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":"2026-05-15T23:14:17.707Z"},"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":"2026-05-16T02:19:40.615Z"},"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":"2026-05-16T03:33:43.846Z"},"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":"2026-05-15T23:14:17.774Z"},"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":"2026-05-14T06:21:00.080Z"},"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 // 1 for dark, 0 for light","label":null,"prefix":null,"suffix":"1 for dark, 0 for light","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 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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":"2026-05-15T23:14:17.765Z"},"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":"2026-05-16T06:46:02.406Z"},"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":"2026-05-15T23:14:17.717Z"},"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":"2026-05-15T23:14:17.728Z"},"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":"2026-05-16T02:19:40.616Z"},"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","label":null,"prefix":null,"suffix":"%","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 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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":"2026-05-15T23:14:17.725Z"},"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":"2026-05-16T00:04:43.565Z"},"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":"2026-05-15T23:14:17.750Z"},"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":"2026-05-16T03:33:43.847Z"},"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 (g))","label":"Mashed banana (g)","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 (g))","label":"Unsweetened applesauce (g)","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 (g))","label":"Plain yogurt (g)","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 (g))","label":"Silken tofu (g)","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":"2026-05-15T23:14:17.738Z"},"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":"2026-05-16T00:04:43.570Z"},"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":"# 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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 / 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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 // 1 for yes, 0 for no","label":null,"prefix":null,"suffix":"1 for yes, 0 for no","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 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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 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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 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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 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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":"2026-05-16T03:33:43.850Z"},"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 / 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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":"2026-05-15T23:14:17.744Z"},"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":"2026-05-16T03:33:43.850Z"},"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) / 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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 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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":"$13,505.63"},{"text":"percent value retained = (current value / purchase price) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Results","hidden":false,"hero":false,"slider":null,"value":61.41249999999999,"display":"61.4125"}]},{"id":"car-loan","title":"Car Loan","description":"Calculate monthly car payments, total cost, and 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12..84","label":null,"prefix":null,"suffix":"months","section":"Car Details","hidden":false,"hero":false,"slider":{"min":12,"max":84,"step":1},"value":60,"display":"60"},{"text":"# Loan Calculation","label":null,"prefix":null,"suffix":null,"section":"Loan Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"$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":"$","suffix":null,"section":"Loan 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owning a car against renting one as needed.","category":"other","icon":"car","tags":["car","rental"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T06:46:02.415Z"},"rows":[{"text":"# Ownership Costs","label":null,"prefix":null,"suffix":null,"section":"Ownership Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$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":"$","suffix":null,"section":"Ownership 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total_monthly_rental_cost * 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":9600,"display":"$9,600.00"},{"text":"break even days per month = total_monthly_ownership_cost / rental cost per day","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":10.625,"display":"10.625"}]},{"id":"carbon-sequestration-per-tree","title":"Carbon Sequestration Per Tree","description":"Estimate annual CO2 sequestered by a tree from age and growth rate.","category":"health","icon":"activity","tags":["carbon","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.725Z"},"rows":[{"text":"tree_age_years = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"growth_rate_factor = 1.0 // 1.0 for average, 1.5 for fast","label":null,"prefix":null,"suffix":"1.0 for average, 1.5 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Materials","label":null,"prefix":null,"suffix":null,"section":"Materials","hero":false,"slider":null,"value":null,"display":null},{"text":"waste factor percent = 10 // 5..25","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":{"min":5,"max":25,"step":1},"value":10,"display":"10"},{"text":"total yards with waste = round(area square yards * (1 + waste factor percent / 100), 2)","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"},{"text":"# Cost","label":null,"prefix":null,"suffix":null,"section":"Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$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, 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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":"2026-05-16T02:19:40.630Z"},"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 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flow.","category":"finance","icon":"dollar-sign","tags":["cash","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T03:33:43.852Z"},"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 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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":"2026-05-16T03:33:43.852Z"},"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 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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":"2026-05-14T06:21:00.088Z"},"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":"2026-05-15T23:14:17.748Z"},"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":"2026-05-16T02:19:40.631Z"},"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":"2026-05-16T00:36:27.882Z"},"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 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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 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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 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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 + 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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 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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":"2026-05-15T23:14:17.741Z"},"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":"2026-05-16T04:04:04.450Z"},"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","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":"2026-05-16T00:04:43.661Z"},"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":"$7,209.69"},{"text":"interest pct = round((total interest paid / total debt) * 100 * 10) / 10 // % @label(Interest as % of Debt)","label":"Interest as % of Debt","prefix":null,"suffix":"%","section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":48.1,"display":"48.1"}]},{"id":"debt-service-coverage-ratio","title":"Debt Service Coverage Ratio","description":"Measure the ability of a property to cover its mortgage payments.","category":"real-estate","icon":"shield-check","tags":["debt","coverage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.773Z"},"rows":[{"text":"netOperatingIncome = 60000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":60000,"display":"60,000"},{"text":"annualDebtService = 45000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":45000,"display":"45,000"},{"text":"dscr = netOperatingIncome / annualDebtService","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.3333333333333333,"display":"1.3333"}]},{"id":"debt-to-income-ratio","title":"Debt To Income Ratio","description":"Calculate debt-to-income ratio (DTI) from monthly income and debt payments.","category":"finance","icon":"ratio","tags":["debt","income","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T03:33:43.856Z"},"rows":[{"text":"# Monthly Income and Debt","label":null,"prefix":null,"suffix":null,"section":"Monthly Income and Debt","hero":false,"slider":null,"value":null,"display":null},{"text":"$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":"$2,550.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"debt to income ratio = (total_monthly_debt / gross monthly income) * 100 // @hero %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":true,"slider":null,"value":42.5,"display":"42.5"},{"text":"$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":"2026-05-16T02:19:40.642Z"},"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":"2026-05-15T23:14:17.738Z"},"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":"2026-05-16T03:33:43.856Z"},"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":"2026-05-15T23:14:17.754Z"},"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":"2026-05-14T06:21:00.095Z"},"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":"2026-05-15T23:14:17.725Z"},"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 // percent","label":null,"prefix":null,"suffix":"percent","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":"2026-05-16T06:46:02.424Z"},"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":"2026-05-15T23:14:17.707Z"},"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":"2026-05-15T23:14:17.725Z"},"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":"2026-05-16T00:04:43.667Z"},"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":"2026-05-16T03:33:43.856Z"},"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 // kg @label(Mass per teaspoon)","label":"Mass per teaspoon","prefix":null,"suffix":"kg","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":"2026-05-15T23:14:17.729Z"},"rows":[{"text":"# Camera Specs","label":null,"prefix":null,"suffix":null,"section":"Camera 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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":"2026-05-16T02:19:40.643Z"},"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 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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":"2026-05-16T02:19:40.644Z"},"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 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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":"2026-05-16T02:19:40.644Z"},"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":"2026-05-16T00:04:43.674Z"},"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":"2026-05-16T02:19:40.644Z"},"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":"2026-05-16T02:19:40.645Z"},"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":"2026-05-16T02:19:40.645Z"},"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":"2026-05-16T02:19:40.645Z"},"rows":[{"text":"# RAID 6 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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":"2026-05-15T23:14:17.730Z"},"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":"2026-05-16T02:19:40.646Z"},"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":"2026-05-16T00:04:43.681Z"},"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 // 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(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":"2026-05-15T23:14:17.717Z"},"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 = 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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":"2026-05-15T23:14:17.734Z"},"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 * 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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":"2026-05-16T02:19:40.646Z"},"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 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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":"2026-05-14T06:21:00.096Z"},"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 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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":"2026-05-16T03:33:43.857Z"},"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 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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 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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 + 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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":"2026-05-15T23:14:17.721Z"},"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 // 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1.","category":"formulas","icon":"percent","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T02:19:40.649Z"},"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":"2026-05-15T23:14:17.759Z"},"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":"2026-05-16T00:36:27.887Z"},"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":"2026-05-14T06:21:00.097Z"},"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":"2026-05-15T23:14:17.718Z"},"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":"2026-05-16T00:36:27.887Z"},"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":"2026-05-15T23:14:17.730Z"},"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 // percent","label":null,"prefix":null,"suffix":"percent","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":"2026-05-16T06:46:02.429Z"},"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 (ft))","label":"Round-trip wire length (ft)","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":"2026-05-16T00:04:43.701Z"},"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":"2026-05-16T02:19:40.650Z"},"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":"2026-05-16T02:19:40.650Z"},"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":"2026-05-16T02:19:40.650Z"},"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":"2026-05-16T00:36:27.887Z"},"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":"2026-05-16T00:04:43.706Z"},"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 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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":"2026-05-16T03:33:43.859Z"},"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 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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 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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":"2026-05-16T03:33:43.859Z"},"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":"2026-05-16T02:19:40.653Z"},"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":"2026-05-16T02:19:40.653Z"},"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":"2026-05-15T23:14:17.780Z"},"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":"2026-05-15T23:14:17.777Z"},"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":"2026-05-16T00:43:39.881Z"},"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":"2026-05-16T02:19:40.654Z"},"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":"2026-05-14T06:21:00.105Z"},"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 // dollars","label":null,"prefix":null,"suffix":"dollars","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 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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 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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 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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":"2026-05-16T00:43:39.884Z"},"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 (Hz))","label":"Frequency (Hz)","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 (ms))","label":"Period (ms)","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 (m))","label":"Wavelength in air (m)","prefix":null,"suffix":"m","section":"Period + 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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","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 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investment.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T02:19:40.659Z"},"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":"2026-05-15T23:14:17.745Z"},"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":"2026-05-16T02:19:40.659Z"},"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":"2026-05-16T02:19:40.659Z"},"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":"2026-05-16T00:04:43.736Z"},"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":"2026-05-16T03:33:43.861Z"},"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 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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 + 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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 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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 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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":"2026-05-16T02:19:40.661Z"},"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 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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 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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":"2026-05-15T23:14:17.757Z"},"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 · 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@hero","label":null,"prefix":null,"suffix":"%","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":11.11111111111111,"display":"11.1111"},{"text":"prob of no one picking self = exp(-1) * 100 // % (approx for large n) @hero","label":null,"prefix":null,"suffix":"% (approx for large n)","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":"2026-05-16T03:33:43.863Z"},"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 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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":"2026-05-16T02:19:40.662Z"},"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 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offset.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.767Z"},"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":"2026-05-15T23:14:17.760Z"},"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) // percent","label":null,"prefix":null,"suffix":"percent","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":"2026-05-15T23:14:17.724Z"},"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":"2026-05-16T02:19:40.663Z"},"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":"2026-05-16T02:19:40.663Z"},"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":"2026-05-15T23:14:17.769Z"},"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":"2026-05-16T00:04:43.749Z"},"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":"2026-05-16T02:19:40.663Z"},"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 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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":"2026-05-15T23:14:17.717Z"},"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":"2026-05-16T02:19:40.664Z"},"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 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Calculator","description":"Calculate CSS grid column widths from container and gap.","category":"design","icon":"grid","tags":["layout"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.757Z"},"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 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(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":"2026-05-15T23:14:17.767Z"},"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":"2026-05-15T23:14:17.735Z"},"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":"2026-05-16T02:19:40.665Z"},"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 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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 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remaining radioactive material after time elapsed using half-life.","category":"science","icon":"flask-conical","tags":["life","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T00:04:43.757Z"},"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 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(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":"2026-05-16T00:04:43.758Z"},"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 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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 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loans.","category":"real-estate","icon":"dollar-sign","tags":["loan"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T00:36:27.892Z"},"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":"2026-05-16T00:04:43.759Z"},"rows":[{"text":"# Hash Parameters","label":null,"prefix":null,"suffix":null,"section":"Hash 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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 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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":"2026-05-15T23:14:17.720Z"},"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 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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 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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":"2026-05-15T23:14:17.761Z"},"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 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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","label":null,"prefix":null,"suffix":"%","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":"2026-05-15T23:14:17.762Z"},"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":"2026-05-15T23:14:17.757Z"},"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":"2026-05-15T23:14:17.754Z"},"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":"2026-05-16T02:19:40.670Z"},"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":"2026-05-16T02:19:40.670Z"},"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":"2026-05-15T23:14:17.757Z"},"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":"2026-05-16T03:38:28.164Z"},"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 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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":"2026-05-15T23:14:17.751Z"},"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 / 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@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":"2026-05-15T23:14:17.728Z"},"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 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@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":"2026-05-15T23:14:17.740Z"},"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":"2026-05-16T00:04:43.777Z"},"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":"2026-05-16T00:43:39.892Z"},"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":"2026-05-15T23:14:17.753Z"},"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":"2026-05-16T02:19:40.671Z"},"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":"2026-05-16T02:19:40.671Z"},"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":"2026-05-16T00:04:43.779Z"},"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":"2026-05-15T23:14:17.753Z"},"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 // percent","label":null,"prefix":null,"suffix":"percent","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":"2026-05-16T02:19:40.672Z"},"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":"2026-05-15T23:14:17.779Z"},"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":"2026-05-15T23:14:17.762Z"},"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":"2026-05-16T06:46:02.445Z"},"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":"2026-05-15T23:14:17.713Z"},"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":"2026-05-15T23:14:17.749Z"},"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":"2026-05-16T00:04:43.781Z"},"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":"$15,000.00"},{"text":"years held = 3 // years 1..30","label":null,"prefix":null,"suffix":"years","section":"Investment Return (CAGR Proxy for IRR)","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":3,"display":"3"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"internal rate of return = ((final value / initial investment)^(1 / years held) - 1) * 100 // @hero %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":true,"slider":null,"value":14.471424255333181,"display":"14.4714"},{"text":"$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":"2026-05-15T23:14:17.746Z"},"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":"2026-05-15T23:14:17.768Z"},"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":"2026-05-16T02:19:40.673Z"},"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":"2026-05-16T03:33:43.866Z"},"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":"2026-05-15T23:14:17.719Z"},"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":"2026-05-16T03:33:43.867Z"},"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 // 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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 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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 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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":"2026-05-16T02:19:40.676Z"},"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 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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 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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":"2026-05-15T23:14:17.752Z"},"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":"2026-05-16T02:19:40.677Z"},"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":"2026-05-16T00:36:27.894Z"},"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":"2026-05-15T23:14:17.742Z"},"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":"2026-05-15T23:14:17.741Z"},"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":"2026-05-16T02:19:40.677Z"},"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":"2026-05-16T02:19:40.677Z"},"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":"2026-05-15T23:14:17.741Z"},"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":"2026-05-16T00:04:43.798Z"},"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 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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":"2026-05-15T23:14:17.765Z"},"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 / 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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":"2026-05-16T06:46:02.449Z"},"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":"2026-05-16T00:04:43.800Z"},"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":"2026-05-15T23:14:17.724Z"},"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":"2026-05-16T00:43:39.898Z"},"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":"2026-05-16T02:19:40.678Z"},"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":"2026-05-15T23:14:17.767Z"},"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":"2026-05-16T06:46:02.450Z"},"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":"2026-05-16T00:04:43.804Z"},"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":"2026-05-15T23:14:17.730Z"},"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":"2026-05-16T02:19:40.679Z"},"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":"2026-05-16T02:19:40.679Z"},"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":"2026-05-15T23:14:17.736Z"},"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":"2026-05-15T23:14:17.772Z"},"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":"2026-05-16T02:19:40.679Z"},"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":"2026-05-15T23:14:17.734Z"},"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":"2026-05-16T03:38:50.770Z"},"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":"2026-05-16T00:04:43.807Z"},"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":"$400,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"loan to value ratio = (loan amount / appraised property value) * 100 // @hero %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":true,"slider":null,"value":80,"display":"80"},{"text":"$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":"2026-05-15T23:14:17.734Z"},"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":"2026-05-15T23:14:17.716Z"},"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":"2026-05-16T03:33:43.869Z"},"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":"2026-05-15T23:14:17.722Z"},"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":"2026-05-16T00:04:43.810Z"},"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":"2026-05-16T02:19:40.680Z"},"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":"2026-05-15T23:14:17.750Z"},"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":"2026-05-15T23:14:17.747Z"},"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":"2026-05-16T02:19:40.680Z"},"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 = 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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 · 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-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":"2026-05-15T23:14:17.769Z"},"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":"2026-05-16T02:19:40.682Z"},"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":"2026-05-15T23:14:17.722Z"},"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 // 1 for offset, 0.5 for pellet, 0.2 for electric","label":null,"prefix":null,"suffix":"1 for offset, 0.5 for pellet, 0.2 for electric","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":"2026-05-15T23:14:17.732Z"},"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":"2026-05-16T02:19:40.682Z"},"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 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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 // 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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 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-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":"2026-05-16T02:19:40.683Z"},"rows":[{"text":"# Item 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- 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":"2026-05-16T02:19:40.683Z"},"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":"2026-05-16T06:46:02.454Z"},"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 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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":"2026-05-16T00:43:39.903Z"},"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":"2026-05-15T23:14:17.720Z"},"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":"2026-05-16T00:04:43.828Z"},"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":"2026-05-15T23:14:17.729Z"},"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":"2026-05-16T02:19:40.684Z"},"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 (kg·m/s))","label":"p (kg·m/s)","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":"2026-05-16T02:19:40.684Z"},"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":"2026-05-15T23:14:17.735Z"},"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":"2026-05-15T23:14:17.711Z"},"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":"2026-05-16T06:46:02.454Z"},"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":"2026-05-15T23:14:17.750Z"},"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":"2026-05-16T02:19:40.685Z"},"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":"2026-05-16T06:46:02.455Z"},"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 * 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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":"2026-05-15T23:14:17.707Z"},"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":"2026-05-16T03:33:43.870Z"},"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":"2026-05-16T00:04:43.835Z"},"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 // 0..1 @label(Professional Movers? (1=yes, 0=DIY))","label":"Professional Movers? (1=yes, 0=DIY)","prefix":null,"suffix":null,"section":"Move Details","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"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":"2026-05-16T02:19:40.685Z"},"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":"2026-05-16T03:33:43.870Z"},"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":"2026-05-15T23:14:17.777Z"},"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":"2026-05-16T02:19:40.686Z"},"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":"2026-05-15T23:14:17.743Z"},"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":"2026-05-15T23:14:17.759Z"},"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":"2026-05-15T23:14:17.743Z"},"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":"2026-05-16T00:36:27.898Z"},"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":"2026-05-16T03:33:43.871Z"},"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","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":"2026-05-16T02:19:40.686Z"},"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":"2026-05-16T02:19:40.687Z"},"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":"2026-05-16T03:33:43.871Z"},"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 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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":"2026-05-16T02:19:40.689Z"},"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":"2026-05-15T23:14:17.742Z"},"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":"2026-05-15T23:14:17.780Z"},"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":"2026-05-15T23:14:17.775Z"},"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":"2026-05-16T03:33:43.872Z"},"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 (m/s))","label":"Orbital velocity (m/s)","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 (min))","label":"Orbital period (min)","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 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folds.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.706Z"},"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":"2026-05-15T23:14:17.731Z"},"rows":[{"text":"numberOfIncidents = 5 // 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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":"2026-05-15T23:14:17.730Z"},"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 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EPS.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T00:04:43.852Z"},"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","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":"2026-05-16T02:19:40.690Z"},"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":"2026-05-16T02:19:40.690Z"},"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":"2026-05-16T02:19:40.691Z"},"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":"2026-05-15T23:14:17.713Z"},"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":"2026-05-15T23:14:17.710Z"},"rows":[{"text":"wall_area_square_feet = 400 // square 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base.","category":"business","icon":"layers","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.703Z"},"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 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(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":"2026-05-15T23:14:17.719Z"},"rows":[{"text":"ordersOnTime = 980 // 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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":"2026-05-14T06:21:00.140Z"},"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":"2026-05-16T06:46:02.463Z"},"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":"2026-05-15T23:14:17.744Z"},"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":"2026-05-16T00:04:43.866Z"},"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":"2026-05-15T23:14:17.759Z"},"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":"2026-05-16T00:04:43.867Z"},"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 (hr))","label":"Earth sidereal day (hr)","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":"2026-05-15T23:14:17.737Z"},"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":"2026-05-15T23:14:17.741Z"},"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":"2026-05-16T02:19:40.695Z"},"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":"2026-05-15T23:14:17.718Z"},"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":"2026-05-16T02:19:40.696Z"},"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":"2026-05-16T03:33:43.874Z"},"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 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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":"2026-05-15T23:14:17.778Z"},"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":"2026-05-15T23:14:17.719Z"},"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":"2026-05-16T02:19:40.698Z"},"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":"2026-05-16T02:19:40.698Z"},"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":"2026-05-16T00:04:43.880Z"},"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":"2026-05-15T23:14:17.727Z"},"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":"2026-05-16T00:04:43.880Z"},"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":"2026-05-16T02:19:40.699Z"},"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":"2026-05-15T23:14:17.709Z"},"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":"2026-05-15T23:14:17.782Z"},"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":"2026-05-15T23:14:17.765Z"},"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":"2026-05-16T00:04:43.882Z"},"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":"$8,000.00"},{"text":"# Margins","label":null,"prefix":null,"suffix":null,"section":"Margins","hero":false,"slider":null,"value":null,"display":null},{"text":"gross margin = (gross profit / revenue) * 100 // % @hero","label":null,"prefix":null,"suffix":"%","section":"Margins","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"},{"text":"operating margin = (operating profit / revenue) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Margins","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"markup on cost = (gross profit / cost of goods sold) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Margins","hidden":false,"hero":false,"slider":null,"value":66.66666666666666,"display":"66.6667"},{"text":"# Per Unit","label":null,"prefix":null,"suffix":null,"section":"Per Unit","hero":false,"slider":null,"value":null,"display":null},{"text":"units sold = 500 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Per Unit","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":500,"display":"500"},{"text":"$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 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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":"2026-05-16T00:36:27.904Z"},"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 // 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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 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speed.","category":"productivity","icon":"clock","tags":["raid","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.724Z"},"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 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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":"2026-05-15T23:14:17.782Z"},"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":"2026-05-15T23:14:17.748Z"},"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 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":true,"slider":null,"value":128,"display":"128"}]},{"id":"range","title":"Range","description":"Compute the range of a dataset: max − 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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":"2026-05-15T23:14:17.764Z"},"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":"2026-05-16T00:36:27.904Z"},"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":"2026-05-16T06:46:02.468Z"},"rows":[{"text":"# Property 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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 %","label":null,"prefix":null,"suffix":"%","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 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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 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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":"2026-05-16T02:19:40.703Z"},"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 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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":"2026-05-16T00:43:39.917Z"},"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 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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":"2026-05-16T02:19:40.704Z"},"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 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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":"2026-05-16T02:19:40.704Z"},"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":"2026-05-15T23:14:17.747Z"},"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":"2026-05-16T00:04:43.902Z"},"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":"$","suffix":null,"section":"Affordability 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dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"propertyValue = 200000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"rentToValueRatio = (monthlyRent / propertyValue) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.75,"display":"0.75"}]},{"id":"rent-vs-buy","title":"Rent vs Buy","description":"Compare the monthly cost of renting versus buying a home.","category":"finance","icon":"home","tags":["rent","housing"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-16T00:04:43.905Z"},"rows":[{"text":"# Renting","label":null,"prefix":null,"suffix":null,"section":"Renting","hero":false,"slider":null,"value":null,"display":null},{"text":"$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":"2026-05-15T23:14:17.722Z"},"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":"2026-05-16T02:19:40.705Z"},"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":"2026-05-15T23:14:17.775Z"},"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":"2026-05-16T06:46:02.470Z"},"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 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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":"2026-05-15T23:14:17.734Z"},"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":"2026-05-16T02:19:40.705Z"},"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":"2026-05-16T03:33:43.877Z"},"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 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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) // L @label(Air moved per day)","label":"Air moved per day","prefix":null,"suffix":"L","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":"2026-05-16T02:19:40.705Z"},"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":"2026-05-15T23:14:17.740Z"},"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":"2026-05-16T02:19:40.706Z"},"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":"2026-05-16T02:19:40.706Z"},"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":"2026-05-15T23:14:17.766Z"},"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":"2026-05-16T02:19:40.706Z"},"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":"2026-05-16T02:19:40.706Z"},"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":"2026-05-15T23:14:17.748Z"},"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":"2026-05-16T00:04:43.917Z"},"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":"2026-05-14T06:21:00.148Z"},"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":"2026-05-16T00:36:27.905Z"},"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 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"},{"text":"@hero magenta_percent = (1 - g_prime - k) / (1 - k) * 100 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"@hero yellow_percent = (1 - b_prime - k) / (1 - k) * 100 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"@hero black_percent = k * 100 // percent","label":null,"prefix":null,"suffix":"percent","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":"2026-05-16T02:19:40.707Z"},"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":"2026-05-16T02:19:40.707Z"},"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":"2026-05-16T00:43:39.920Z"},"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":"2026-05-15T23:14:17.746Z"},"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":"2026-05-16T02:19:40.707Z"},"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":"2026-05-14T06:21:00.148Z"},"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":"2026-05-16T00:04:43.924Z"},"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","label":null,"prefix":null,"suffix":"%","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":"2026-05-16T03:33:43.878Z"},"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":"2026-05-16T06:46:02.472Z"},"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":"$967,658.15"},{"text":"# 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180 / pi","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5100.428535142954,"display":"5,100.4285"}]},{"id":"satellite-orbital-decay-rate","title":"Satellite Orbital Decay","description":"Estimate daily altitude loss for LEO satellites.","category":"science","icon":"globe","tags":["science","physics","space"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-14T06:21:00.150Z"},"rows":[{"text":"initial_altitude_km = 400 // km","label":null,"prefix":null,"suffix":"km","section":null,"hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"atmospheric_density_approx = 1e-12 // kg/m3","label":null,"prefix":null,"suffix":"kg/m3","section":null,"hidden":false,"hero":false,"slider":null,"value":1e-12,"display":"1e-12"},{"text":"ballistic_coefficient = 100 // kg/m2","label":null,"prefix":null,"suffix":"kg/m2","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero daily_decay_meters = (3.14159 * (6371 + initial_altitude_km) * atmospheric_density_approx * 7800^2) / ballistic_coefficient * 86400 / 1000 // rough meters per day","label":null,"prefix":null,"suffix":"rough meters per day","section":null,"hidden":false,"hero":true,"slider":null,"value":1.1181633866043263,"display":"1.1182"}]},{"id":"savings-bond-value","title":"Savings Bond Value","description":"Calculate current value and interest earned on a Series I savings bond.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T06:46:02.473Z"},"rows":[{"text":"# Bond Details","label":null,"prefix":null,"suffix":null,"section":"Bond Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$face value = 1000 // 25..10k by 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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":"$619.98"}]},{"id":"savings-withdrawal-burn-rate","title":"Savings Withdrawal Burn Rate","description":"Calculate how many months savings last at a given monthly withdrawal rate.","category":"finance","icon":"flame","tags":["burn","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T02:19:40.710Z"},"rows":[{"text":"total_savings = 500000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":500000,"display":"500,000"},{"text":"monthly_withdrawal = 4000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"annual_growth = 0.04","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"},{"text":"months_to_depletion = total_savings / monthly_withdrawal","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":125,"display":"125"}]},{"id":"scholarship-value","title":"Scholarship Value","description":"Compare total college cost with and without a scholarship.","category":"education","icon":"award","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T00:04:43.935Z"},"rows":[{"text":"# Annual Costs","label":null,"prefix":null,"suffix":null,"section":"Annual Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$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":"2026-05-15T23:14:17.765Z"},"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":"2026-05-15T23:14:17.761Z"},"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":"2026-05-15T23:14:17.736Z"},"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":"2026-05-15T23:14:17.741Z"},"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":"2026-05-16T02:19:40.711Z"},"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":"2026-05-16T06:46:02.474Z"},"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":"2026-05-16T02:19:40.711Z"},"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":"2026-05-16T03:33:43.879Z"},"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":"2026-05-15T23:14:17.734Z"},"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":"2026-05-15T23:14:17.712Z"},"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":"2026-05-14T06:21:00.151Z"},"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":"2026-05-15T23:14:17.779Z"},"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":"2026-05-16T00:36:27.907Z"},"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":"2026-05-16T02:19:40.712Z"},"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":"2026-05-16T02:19:40.712Z"},"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 & 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$1.50 // 0..10 by 0.25","label":null,"prefix":"$","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":"$2.91"}]},{"id":"settlement-value-multiplier","title":"Settlement Value Multiplier","description":"Estimate potential legal settlements using common multipliers.","category":"other","icon":"dollar-sign","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-15T23:14:17.772Z"},"rows":[{"text":"medicalExpenses = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"painAndSufferingMultiplier = 3 // 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days","label":null,"prefix":"$","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":"2026-05-16T02:19:40.712Z"},"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":"2026-05-15T23:14:17.737Z"},"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":"2026-05-15T23:14:17.719Z"},"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":"2026-05-16T02:19:40.712Z"},"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":"2026-05-16T00:36:27.907Z"},"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 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simple interest earned and total balance on a principal.","category":"finance","icon":"dollar-sign","tags":["interest","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T00:04:43.945Z"},"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":"$41.67"}]},{"id":"simple-pendulum-period-advanced","title":"Simple Pendulum Period 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0, remainder_after_two * 0.15)","label":null,"prefix":null,"suffix":null,"section":"PIA Formula (approximate bend points 2024)","hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"$_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 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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":"2026-05-16T02:19:40.717Z"},"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 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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":"2026-05-15T23:14:17.774Z"},"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":"2026-05-16T03:33:43.883Z"},"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":"2026-05-16T02:19:40.721Z"},"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":"2026-05-15T23:14:17.731Z"},"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":"2026-05-16T00:04:43.965Z"},"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":"2026-05-15T23:14:17.728Z"},"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":"2026-05-16T06:46:02.482Z"},"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":"2026-05-14T06:21:00.156Z"},"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":"2026-05-15T23:14:17.758Z"},"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":"2026-05-16T02:19:40.721Z"},"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":"2026-05-15T23:14:17.759Z"},"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":"2026-05-15T23:14:17.723Z"},"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":"2026-05-15T23:14:17.710Z"},"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":"2026-05-16T00:04:43.972Z"},"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 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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 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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":"2026-05-15T23:14:17.776Z"},"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":"2026-05-15T23:14:17.741Z"},"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 // 1 for vigorous, 0 for moderate","label":null,"prefix":null,"suffix":"1 for vigorous, 0 for moderate","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 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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":"2026-05-14T06:21:00.157Z"},"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 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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":"2026-05-16T00:43:39.930Z"},"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) 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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":"2026-05-15T23:14:17.730Z"},"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":"2026-05-16T00:36:27.910Z"},"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 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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 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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":"2026-05-16T02:19:40.726Z"},"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":"2026-05-15T23:14:17.752Z"},"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 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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":"2026-05-15T23:14:17.740Z"},"rows":[{"text":"torque_lb_in = 5000 // 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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":"2026-05-16T02:19:40.728Z"},"rows":[{"text":"# Triangle 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angle.","category":"formulas","icon":"sigma","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-16T06:46:02.487Z"},"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":"2026-05-16T00:04:43.993Z"},"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 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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":"2026-05-15T23:14:17.746Z"},"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":"2026-05-16T00:04:43.994Z"},"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":"2026-05-16T03:33:43.886Z"},"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":"2026-05-15T23:14:17.715Z"},"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 // 1 for fridge, 0 for cold water","label":null,"prefix":null,"suffix":"1 for fridge, 0 for cold water","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":"2026-05-16T02:19:40.729Z"},"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":"2026-05-15T23:14:17.715Z"},"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":"2026-05-16T00:36:27.911Z"},"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":"2026-05-15T23:14:17.735Z"},"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":"2026-05-15T23:14:17.739Z"},"rows":[{"text":"totalWeeksEligible = 26 // 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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 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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":"2026-05-15T23:14:17.756Z"},"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 // 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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 < 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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":"2026-05-15T23:14:17.728Z"},"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 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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","label":null,"prefix":null,"suffix":"%","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":"2026-05-15T23:14:17.735Z"},"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":"2026-05-15T23:14:17.741Z"},"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":"2026-05-15T23:14:17.773Z"},"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":"2026-05-15T23:14:17.778Z"},"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":"2026-05-15T23:14:17.772Z"},"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":"2026-05-16T00:04:44.017Z"},"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 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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"}]}]}