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Visit with ?lab to flip styles and check coverage.","category":"other","icon":"beaker","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.103Z"},"rows":[{"text":"# 1. Hero + suffix","label":null,"prefix":null,"suffix":null,"section":"1. Hero + suffix","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"1. Hero + suffix","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"height = 70 // inches 48..84","label":null,"prefix":null,"suffix":"inches","section":"1. Hero + suffix","hidden":false,"hero":false,"slider":{"min":48,"max":84,"step":1},"value":70,"display":"70"},{"text":"_weight_kg = weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"1. Hero + suffix","hidden":true,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"_height_m = height * 0.0254","label":null,"prefix":null,"suffix":null,"section":"1. Hero + suffix","hidden":true,"hero":false,"slider":null,"value":1.778,"display":"1.778"},{"text":"body mass index = weight_kg / (height_m^2) // @hero @label(BMI) @suffix(kg/m²)","label":"BMI","prefix":null,"suffix":null,"section":"1. Hero + suffix","hidden":false,"hero":true,"slider":null,"value":25.82702471527392,"display":"25.827"},{"text":"# 2. Prefix + suffix","label":null,"prefix":null,"suffix":null,"section":"2. Prefix + suffix","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual income = $80000 // 20k..200k by 1k","label":null,"prefix":"$","suffix":null,"section":"2. Prefix + suffix","hidden":false,"hero":false,"slider":{"min":20000,"max":200000,"step":1000},"value":80000,"display":"$80,000.00"},{"text":"$annual expenses = $45000 // 10k..150k by 1k","label":null,"prefix":"$","suffix":null,"section":"2. Prefix + suffix","hidden":false,"hero":false,"slider":{"min":10000,"max":150000,"step":1000},"value":45000,"display":"$45,000.00"},{"text":"$annual savings = annual_income - annual_expenses","label":null,"prefix":"$","suffix":null,"section":"2. Prefix + suffix","hidden":false,"hero":false,"slider":null,"value":35000,"display":"$35,000.00"},{"text":"# 3. Hidden + advanced","label":null,"prefix":null,"suffix":null,"section":"3. Hidden + advanced","hero":false,"slider":null,"value":null,"display":null},{"text":"$_compound_seed = 100000","label":null,"prefix":"$","suffix":null,"section":"3. Hidden + advanced","hidden":true,"hero":false,"slider":null,"value":100000,"display":"$100,000.00"},{"text":"return rate = 7 // % 1..15 @advanced","label":null,"prefix":null,"suffix":"%","section":"3. Hidden + advanced","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.2},"value":7,"display":"7"},{"text":"years = 30 // 1..50 @advanced","label":null,"prefix":null,"suffix":null,"section":"3. Hidden + advanced","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":30,"display":"30"},{"text":"# 4. Long suffix — phrase","label":null,"prefix":null,"suffix":null,"section":"4. Long suffix — phrase","hero":false,"slider":null,"value":null,"display":null},{"text":"billable rate = 150 // dollars per hour","label":null,"prefix":null,"suffix":"dollars per hour","section":"4. Long suffix — phrase","hidden":false,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"output capacity = 145 // cubic feet per minute","label":null,"prefix":null,"suffix":"cubic feet per minute","section":"4. Long suffix — phrase","hidden":false,"hero":false,"slider":null,"value":145,"display":"145"},{"text":"monthly burn = 28500 // dollars per month","label":null,"prefix":null,"suffix":"dollars per month","section":"4. Long suffix — phrase","hidden":false,"hero":false,"slider":null,"value":28500,"display":"28,500"},{"text":"# 5. Hint-shaped suffix","label":null,"prefix":null,"suffix":null,"section":"5. Hint-shaped suffix","hero":false,"slider":null,"value":null,"display":null},{"text":"sex = 1 // 1 for male, 0 for female","label":null,"prefix":null,"suffix":"1 for male, 0 for female","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"material factor = 0.15 // Hard cheese: 0.1, Soft: 0.2","label":null,"prefix":null,"suffix":"Hard cheese: 0.1, Soft: 0.2","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"scope ratio = 7 // 7:1 is standard for overnight anchoring","label":null,"prefix":null,"suffix":"7:1 is standard for overnight anchoring","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"beam stress = 30000 // psi (steel)","label":null,"prefix":null,"suffix":"psi (steel)","section":"5. Hint-shaped suffix","hidden":false,"hero":false,"slider":null,"value":30000,"display":"30,000"},{"text":"# 6. Note decorator","label":null,"prefix":null,"suffix":null,"section":"6. Note decorator","hero":false,"slider":null,"value":null,"display":null},{"text":"$shipping cost = 9.99 // @note(Free over $50)","label":null,"prefix":"$","suffix":null,"section":"6. Note decorator","hidden":false,"hero":false,"slider":null,"value":9.99,"display":"$9.99"},{"text":"$tax rate = 8.25 // @suffix(%) @note(Varies by ZIP — verify before checkout)","label":null,"prefix":"$","suffix":null,"section":"6. Note decorator","hidden":false,"hero":false,"slider":null,"value":8.25,"display":"$8.25"},{"text":"# 7. Tooltip","label":null,"prefix":null,"suffix":null,"section":"7. Tooltip","hero":false,"slider":null,"value":null,"display":null},{"text":"sample size = 30 // @tooltip(Larger samples reduce confidence interval width)","label":null,"prefix":null,"suffix":null,"section":"7. Tooltip","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"confidence = 95 // % @tooltip(Standard for academic publication)","label":null,"prefix":null,"suffix":"%","section":"7. Tooltip","hidden":false,"hero":false,"slider":null,"value":95,"display":"95"},{"text":"# 8. Section + nested subsection","label":null,"prefix":null,"suffix":null,"section":"8. Section + nested subsection","hero":false,"slider":null,"value":null,"display":null},{"text":"# Group A — Inputs","label":null,"prefix":null,"suffix":null,"section":"Group A — Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"group_a_input_1 = 10","label":null,"prefix":null,"suffix":null,"section":"Group A — Inputs","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"group_a_input_2 = 20","label":null,"prefix":null,"suffix":null,"section":"Group A — Inputs","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"## Subsection","label":null,"prefix":null,"suffix":null,"section":"Subsection","hero":false,"slider":null,"value":null,"display":null},{"text":"nested_value = group_a_input_1 + group_a_input_2","label":null,"prefix":null,"suffix":null,"section":"Subsection","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"# 9. Collapsed section","label":null,"prefix":null,"suffix":null,"section":"9. Collapsed section","hero":false,"slider":null,"value":null,"display":null},{"text":"# Advanced settings @collapsed","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hero":false,"slider":null,"value":null,"display":null},{"text":"fudge factor = 1.05","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hidden":false,"hero":false,"slider":null,"value":1.05,"display":"1.05"},{"text":"overhead = 0.12","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"margin = 0.25","label":null,"prefix":null,"suffix":null,"section":"Advanced settings","hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"# 10. Accent row","label":null,"prefix":null,"suffix":null,"section":"10. Accent row","hero":false,"slider":null,"value":null,"display":null},{"text":"$emergency reserve = 50000 // @accent","label":null,"prefix":"$","suffix":null,"section":"10. Accent row","hidden":false,"hero":false,"slider":null,"value":50000,"display":"$50,000.00"},{"text":"# 11. Readonly","label":null,"prefix":null,"suffix":null,"section":"11. Readonly","hero":false,"slider":null,"value":null,"display":null},{"text":"constant_pi = 3.14159 // @readonly","label":null,"prefix":null,"suffix":null,"section":"11. Readonly","hidden":false,"hero":false,"slider":null,"value":3.14159,"display":"3.1416"},{"text":"# 12. Slider min..max syntax (inline range)","label":null,"prefix":null,"suffix":null,"section":"12. Slider min..max syntax (inline range)","hero":false,"slider":null,"value":null,"display":null},{"text":"slider quick = 50 // 0..100 by 5","label":null,"prefix":null,"suffix":null,"section":"12. Slider min..max syntax (inline range)","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":5},"value":50,"display":"50"},{"text":"slider with units = 250 // ml 0..1k by 25","label":null,"prefix":null,"suffix":"ml","section":"12. Slider min..max syntax (inline range)","hidden":false,"hero":false,"slider":{"min":0,"max":1000,"step":25},"value":250,"display":"250"},{"text":"# 13. Dropdown","label":null,"prefix":null,"suffix":null,"section":"13. Dropdown","hero":false,"slider":null,"value":null,"display":null},{"text":"plan = {price: 9, name: 'Hobby'} // dropdown({Hobby: {price: 9, name: 'Hobby'}, Pro: {price: 29, name: 'Pro'}, Team: {price: 99, name: 'Team'}})","label":null,"prefix":null,"suffix":null,"section":"13. Dropdown","hidden":false,"hero":false,"slider":null,"value":{"price":9,"name":"Hobby"},"display":null},{"text":"$plan price = plan.price // @label(Selected price) @prefix($)","label":"Selected price","prefix":"$","suffix":null,"section":"13. Dropdown","hidden":false,"hero":false,"slider":null,"value":9,"display":"$9.00"},{"text":"# 14. Toggle","label":null,"prefix":null,"suffix":null,"section":"14. Toggle","hero":false,"slider":null,"value":null,"display":null},{"text":"includes_premium = false // @label(Premium add-on) toggle()","label":"Premium add-on","prefix":null,"suffix":null,"section":"14. Toggle","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"$base price = 49.99 // @prefix($)","label":null,"prefix":"$","suffix":null,"section":"14. Toggle","hidden":false,"hero":false,"slider":null,"value":49.99,"display":"$49.99"},{"text":"$total = base_price + (includes_premium ? 20 : 0) // @hero @prefix($)","label":null,"prefix":"$","suffix":null,"section":"14. Toggle","hidden":false,"hero":true,"slider":null,"value":49.99,"display":"$49.99"},{"text":"# 15. @icon on row","label":null,"prefix":null,"suffix":null,"section":"15. on row","hero":false,"slider":null,"value":null,"display":null},{"text":"fuel = 12.5 // @icon(droplet) gal","label":null,"prefix":null,"suffix":"gal","section":"15. on row","hidden":false,"hero":false,"slider":null,"value":12.5,"display":"12.5"},{"text":"distance = 320 // @icon(map-pin) mi","label":null,"prefix":null,"suffix":"mi","section":"15. on row","hidden":false,"hero":false,"slider":null,"value":320,"display":"320"},{"text":"# 16. Calc title @icon + @category in the first heading at the top of this file","label":null,"prefix":null,"suffix":null,"section":"16. Calc title + in the first heading at the top of this file","hero":false,"slider":null,"value":null,"display":null},{"text":"# 17. Layout: grid (peer outputs)","label":null,"prefix":null,"suffix":null,"section":"17. Layout: grid (peer outputs)","hero":false,"slider":null,"value":null,"display":null},{"text":"# Color breakdown @layout(grid)","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"red = 255","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"green = 128","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"blue = 64","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":64,"display":"64"},{"text":"alpha = 1.0","label":null,"prefix":null,"suffix":null,"section":"Color breakdown","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# 18. Layout: split (inputs left, outputs right)","label":null,"prefix":null,"suffix":null,"section":"18. Layout: split (inputs left, outputs right)","hero":false,"slider":null,"value":null,"display":null},{"text":"# I/O scenario @layout(split)","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hero":false,"slider":null,"value":null,"display":null},{"text":"revenue = 150000","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":150000,"display":"150,000"},{"text":"expenses = 90000","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":90000,"display":"90,000"},{"text":"profit = revenue - expenses","label":null,"prefix":null,"suffix":null,"section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":60000,"display":"60,000"},{"text":"margin pct = (profit / revenue) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"I/O scenario","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"# 19. @wide — row spans full grid width","label":null,"prefix":null,"suffix":null,"section":"19. — row spans full grid width","hero":false,"slider":null,"value":null,"display":null},{"text":"$total quarterly revenue = 600000 // @wide @prefix($) @label(Q4 total revenue across all regions)","label":"Q4 total revenue across all regions","prefix":"$","suffix":null,"section":"19. — row spans full grid width","hidden":false,"hero":false,"slider":null,"value":600000,"display":"$600,000.00"},{"text":"# 20. Format: percent and currency","label":null,"prefix":null,"suffix":null,"section":"20. Format: percent and currency","hero":false,"slider":null,"value":null,"display":null},{"text":"percent rate = 0.075 // @format(percent)","label":null,"prefix":null,"suffix":null,"section":"20. Format: percent and currency","hidden":false,"hero":false,"slider":null,"value":0.075,"display":"7.5%"},{"text":"$compact dollars = 12345.67 // @format(currency) @decimals(0)","label":null,"prefix":"$","suffix":null,"section":"20. Format: percent and currency","hidden":false,"hero":false,"slider":null,"value":12345.67,"display":"$12.3K"},{"text":"raw count = 1234567 // @format(raw)","label":null,"prefix":null,"suffix":null,"section":"20. Format: percent and currency","hidden":false,"hero":false,"slider":null,"value":1234567,"display":"1,234,567"},{"text":"# 20b. Suppress unit on dimensioned results","label":null,"prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hero":false,"slider":null,"value":null,"display":null},{"text":"_w_kg = 82","label":null,"prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hidden":true,"hero":false,"slider":null,"value":82,"display":"82"},{"text":"_h_m = 1.78","label":null,"prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hidden":true,"hero":false,"slider":null,"value":1.78,"display":"1.78"},{"text":"body mass index = _w_kg / (_h_m^2) // @hero @label(BMI) @suffix()","label":"BMI","prefix":null,"suffix":null,"section":"20b. Suppress unit on dimensioned results","hidden":false,"hero":true,"slider":null,"value":25.88057063502083,"display":"25.8806"},{"text":"# 21. Inline variable interpolation in prose","label":null,"prefix":null,"suffix":null,"section":"21. Inline variable interpolation in prose","hero":false,"slider":null,"value":null,"display":null},{"text":"# 22. Narrative row (markdown-friendly)","label":null,"prefix":null,"suffix":null,"section":"22. Narrative row (markdown-friendly)","hero":false,"slider":null,"value":null,"display":null},{"text":"# 23. Plain comment","label":null,"prefix":null,"suffix":null,"section":"23. Plain comment","hero":false,"slider":null,"value":null,"display":null},{"text":"# 24. Divider","label":null,"prefix":null,"suffix":null,"section":"24. Divider","hero":false,"slider":null,"value":null,"display":null},{"text":"# 25. Quoted string narrative","label":null,"prefix":null,"suffix":null,"section":"25. Quoted string narrative","hero":false,"slider":null,"value":null,"display":null},{"text":"# 26. Comment heading (level 3)","label":null,"prefix":null,"suffix":null,"section":"26. Comment heading (level 3)","hero":false,"slider":null,"value":null,"display":null},{"text":"### A level-3 sub-label","label":null,"prefix":null,"suffix":null,"section":"A level-3 sub-label","hero":false,"slider":null,"value":null,"display":null},{"text":"# 27. End cap — one final hero so the calc has a clear payoff","label":null,"prefix":null,"suffix":null,"section":"27. End cap — one final hero so the calc has a clear payoff","hero":false,"slider":null,"value":null,"display":null},{"text":"$grand total = annual_savings * years // @hero @label(Total saved over horizon) @prefix($)","label":"Total saved over horizon","prefix":"$","suffix":null,"section":"27. End cap — one final hero so the calc has a clear payoff","hidden":false,"hero":true,"slider":null,"value":1050000,"display":"$1,050,000.00"}]},{"id":"ac-impedance-rlc-circuit","title":"AC Impedance RLC Circuit","description":"Calculate total impedance and phase angle for AC circuits.","category":"engineering","icon":"zap","tags":["engineering","electrical","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.103Z"},"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":"2026-05-19T03:36:31.103Z"},"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 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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 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5.9,"display":"5.9"}]},{"id":"alimony-duration-estimator","title":"Alimony Duration","description":"Estimate how many years alimony might be paid after divorce.","category":"other","icon":"clock","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.103Z"},"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 // 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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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.104Z"},"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":"2026-05-19T03:36:31.105Z"},"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":"2026-05-19T03:36:31.105Z"},"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":"2026-05-19T03:36:31.105Z"},"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":"2026-05-19T03:36:31.105Z"},"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":"2026-05-19T03:36:31.105Z"},"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 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15000","label":null,"prefix":null,"suffix":null,"section":"Name Stats","hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"total babies born = 4000000","label":null,"prefix":null,"suffix":null,"section":"Name Stats","hidden":false,"hero":false,"slider":null,"value":4000000,"display":"4,000,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"probability of name = (babies with name / total babies born) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.375,"display":"0.375"},{"text":"odds = total babies born / babies with name // 1 in X @hero","label":null,"prefix":null,"suffix":"1 in X","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":266.6666666666667,"display":"266.6667"}]},{"id":"back-end-load-impact","title":"Back End Load 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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":"2026-05-19T03:36:31.105Z"},"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":"2026-05-19T03:36:31.105Z"},"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":"2026-05-19T03:36:31.105Z"},"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":"2026-05-19T03:36:31.105Z"},"rows":[{"text":"# Recipe Calls For","label":null,"prefix":null,"suffix":null,"section":"Recipe Calls For","hero":false,"slider":null,"value":null,"display":null},{"text":"eggs in recipe = 2 // 1..12","label":null,"prefix":null,"suffix":null,"section":"Recipe Calls For","hidden":false,"hero":false,"slider":{"min":1,"max":12,"step":0.2},"value":2,"display":"2"},{"text":"# Egg Mass","label":null,"prefix":null,"suffix":null,"section":"Egg Mass","hero":false,"slider":null,"value":null,"display":null},{"text":"_grams_per_egg = 60 // g","label":null,"prefix":null,"suffix":"g","section":"Egg Mass","hidden":true,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"total egg mass = eggs in recipe * grams_per_egg // g","label":null,"prefix":null,"suffix":"g","section":"Egg Mass","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"# Substitutes (per egg = 60 g moisture + binder)","label":null,"prefix":null,"suffix":null,"section":"Substitutes (per egg = 60 g moisture + binder)","hero":false,"slider":null,"value":null,"display":null},{"text":"banana mashed g = total egg mass // g @hero @label(Mashed banana) @suffix(g)","label":"Mashed banana","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":true,"slider":null,"value":120,"display":"120"},{"text":"applesauce g = total egg mass // g @label(Unsweetened applesauce) @suffix(g)","label":"Unsweetened applesauce","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"flax water mix g = eggs in recipe * 3 + eggs in recipe * 8 // g @label(Ground flax + water (1 tbsp + 3 tbsp))","label":"Ground flax + water (1 tbsp + 3 tbsp)","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"},{"text":"yogurt g = total egg mass // g @label(Plain yogurt) @suffix(g)","label":"Plain yogurt","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"silken tofu g = eggs in recipe * 64 // g @label(Silken tofu) @suffix(g)","label":"Silken tofu","prefix":null,"suffix":"g","section":"Substitutes (per egg = 60 g moisture + binder)","hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"# Conversion","label":null,"prefix":null,"suffix":null,"section":"Conversion","hero":false,"slider":null,"value":null,"display":null},{"text":"bananas needed = round(banana mashed g / 120, 1) // @label(Medium bananas (≈120 g each))","label":"Medium bananas (≈120 g each)","prefix":null,"suffix":null,"section":"Conversion","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"}]},{"id":"balloon-inflation-volume","title":"Balloon Inflation Volume","description":"Calculate the volume of an inflated spherical balloon in liters from its radius.","category":"everyday","icon":"smile","tags":["inflation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.106Z"},"rows":[{"text":"balloon_radius_cm = 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120","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"target_bpm = 128","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":128,"display":"128"},{"text":"@hero pitch_adjustment_percent = ((target_bpm / current_bpm) - 1) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":6.66666666666666,"display":"6.6667"}]},{"id":"beef-vs-plant-protein-footprint","title":"Beef vs Plant Protein Footprint","description":"Compare the carbon footprint of animal vs plant protein.","category":"science","icon":"beef","tags":["eco","protein","carbon"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.107Z"},"rows":[{"text":"protein_needed_grams = 50 // 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final_gravity_brix","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.024009,"display":"1.024"}]},{"id":"beer-priming-sugar","title":"Beer Priming Sugar","description":"Calculate priming sugar in grams for bottle-conditioned beer carbonation.","category":"other","icon":"beer","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.107Z"},"rows":[{"text":"beer_volume_liters = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"desired_volumes_of_carbonation = 2.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"beer_temperature_celsius = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"residual_carbon_dioxide = 1.2 * (2.71828 ** (-0.019 * beer_temperature_celsius))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.8206339008154173,"display":"0.8206"},{"text":"sugar_needed_grams = (desired_volumes_of_carbonation - residual_carbon_dioxide) * 4 * beer_volume_liters","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":134.34928793476664,"display":"134.3493"}]},{"id":"belt-drive-length-tension","title":"Belt Drive Length","description":"Calculate required belt length for a two-pulley drive.","category":"engineering","icon":"circle","tags":["engineering","mechanical","drive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.107Z"},"rows":[{"text":"pulley_1_diameter_inches = 4 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"pulley_2_diameter_inches = 10 // 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- 0.5 * fluid_density_kg_m3 * (throat_velocity_m_per_s^2 - inlet_velocity_m_per_s^2) // Pa","label":null,"prefix":null,"suffix":"Pa","section":null,"hidden":false,"hero":true,"slider":null,"value":192500,"display":"192,500"}]},{"id":"bernoullis-principle-fluid-flow","title":"Bernoullis Principle Fluid Flow","description":"Calculate fluid pressure at a second point using Bernoulli's principle.","category":"education","icon":"book-open","tags":["flow"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.107Z"},"rows":[{"text":"fluid_density = 1000 // kg/m^3 (water)","label":null,"prefix":null,"suffix":"kg/m^3 (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"velocity_1 = 2 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"pressure_1 = 200000 // Pascals","label":null,"prefix":null,"suffix":"Pascals","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"velocity_2 = 5 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero pressure_2 = pressure_1 + 0.5 * fluid_density * (velocity_1^2 - velocity_2^2) // Pascals","label":null,"prefix":null,"suffix":"Pascals","section":null,"hidden":false,"hero":true,"slider":null,"value":189500,"display":"189,500"}]},{"id":"beta-coefficient-stock","title":"Beta Coefficient Stock","description":"Calculate a stock's beta from stock return, market return, and risk-free rate.","category":"finance","icon":"dollar-sign","tags":["coefficient","stock","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.107Z"},"rows":[{"text":"stock_return = 0.12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.12,"display":"0.12"},{"text":"market_return = 0.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"risk_free_rate = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"beta = (stock_return - risk_free_rate) / (market_return - risk_free_rate)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.2857142857142858,"display":"1.2857"}]},{"id":"bicycle-cadence-to-speed","title":"Bicycle Cadence To Speed","description":"Calculate bicycle speed in mph from cadence, gear ratio, and wheel 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cog_teeth","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3.3333333333333335,"display":"3.3333"},{"text":"distance_per_minute_mm = cadence_rpm * gear_ratio * wheel_circumference_millimeters","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":630000,"display":"630,000"},{"text":"@hero speed_miles_per_hour = (distance_per_minute_mm * 60) / (25.4 * 12 * 5280)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":23.487831066571225,"display":"23.4878"}]},{"id":"big-mac-index-valuation","title":"Big Mac Index Valuation","description":"Estimate currency over- or under-valuation using The Economist's Big Mac index.","category":"business","icon":"briefcase","tags":["index","valuation","business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.107Z"},"rows":[{"text":"price_big_mac_local = 6.50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.5,"display":"6.5"},{"text":"price_big_mac_us = 5.60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5.6,"display":"5.6"},{"text":"actual_exchange_rate = 1.10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.1,"display":"1.1"},{"text":"implied_exchange_rate = price_big_mac_local / price_big_mac_us","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.1607142857142858,"display":"1.1607"},{"text":"valuation = (actual_exchange_rate / implied_exchange_rate) - 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":-0.0523076923076924,"display":"-0.0523"}]},{"id":"big-o-complexity-growth","title":"Big O Complexity Growth","description":"Compare growth rates 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@hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"o n log n = n * log2(n) // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":664.3856189774725,"display":"664.3856"},{"text":"o n squared = n^2 // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":10000,"display":"10,000"},{"text":"o 2 to the n = 2^n // @hero","label":null,"prefix":null,"suffix":null,"section":"Complexities","hidden":false,"hero":true,"slider":null,"value":1.2676506002282294e+30,"display":"1.2677e30"}]},{"id":"billable-hour-annual-income","title":"Billable Hour Annual Income","description":"Calculate gross annual income from hourly rate and weekly billable 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(n−k)!).","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"# n choose k","label":null,"prefix":null,"suffix":null,"section":"n choose k","hero":false,"slider":null,"value":null,"display":null},{"text":"n = 10 // 0..50","label":null,"prefix":null,"suffix":null,"section":"n choose k","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":10,"display":"10"},{"text":"k = 3 // 0..50","label":null,"prefix":null,"suffix":null,"section":"n choose k","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":1},"value":3,"display":"3"},{"text":"# Binomial coefficient","label":null,"prefix":null,"suffix":null,"section":"Binomial coefficient","hero":false,"slider":null,"value":null,"display":null},{"text":"coefficient = factorial(n) / (factorial(k) * factorial(n - k)) // @label(C(n,k))","label":"C(n,k)","prefix":null,"suffix":null,"section":"Binomial coefficient","hidden":false,"hero":true,"slider":null,"value":120,"display":"120"}]},{"id":"biomass-energy-content","title":"Biomass Energy Content","description":"Calculate energy content of wood or biomass based on moisture.","category":"science","icon":"flame","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"wood_weight_kg = 100 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"moisture_percent = 20 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"energy_content_dry_mj_per_kg = 19 // MJ per kg","label":null,"prefix":null,"suffix":"MJ per kg","section":null,"hidden":false,"hero":false,"slider":null,"value":19,"display":"19"},{"text":"dry_weight = wood_weight_kg * (1 - moisture_percent / 100) // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"@hero total_energy_content_mj = dry_weight * energy_content_dry_mj_per_kg // MJ","label":null,"prefix":null,"suffix":"MJ","section":null,"hidden":false,"hero":true,"slider":null,"value":1520,"display":"1,520"},{"text":"energy_in_kwh = total_energy_content_mj / 3.6 // kWh","label":null,"prefix":null,"suffix":"kWh","section":null,"hidden":false,"hero":false,"slider":null,"value":422.22222222222223,"display":"422.2222"}]},{"id":"bird-seed-mix-ratio","title":"Bird Seed Mix Ratio","description":"Calculate component weights for a bird seed mix from percentages and total weight.","category":"math","icon":"bird","tags":["seed","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"sunflower_seeds_percentage = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"millet_percentage = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"cracked_corn_percentage = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"total_mix_weight_kilograms = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"sunflower_weight = total_mix_weight_kilograms * (sunflower_seeds_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"millet_weight = total_mix_weight_kilograms * (millet_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"corn_weight = total_mix_weight_kilograms * (cracked_corn_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"}]},{"id":"birthday-problem","title":"Birthday Problem","description":"Probability that two people in a group share a birthday.","category":"education","icon":"cake","tags":["probability","statistics","birthday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"# People in the Room","label":null,"prefix":null,"suffix":null,"section":"People in the Room","hero":false,"slider":null,"value":null,"display":null},{"text":"people = 23 // 2..100","label":null,"prefix":null,"suffix":null,"section":"People in the Room","hidden":false,"hero":false,"slider":{"min":2,"max":100,"step":1},"value":23,"display":"23"},{"text":"# Probability Math","label":null,"prefix":null,"suffix":null,"section":"Probability Math","hero":false,"slider":null,"value":null,"display":null},{"text":"_days = 365","label":null,"prefix":null,"suffix":null,"section":"Probability Math","hidden":true,"hero":false,"slider":null,"value":365,"display":"365"},{"text":"_exponent = -people * (people - 1) / (2 * days)","label":null,"prefix":null,"suffix":null,"section":"Probability Math","hidden":true,"hero":false,"slider":null,"value":-0.6931506849315069,"display":"-0.6932"},{"text":"prob no match = E^exponent // @label(P(all unique))","label":"P(all unique)","prefix":null,"suffix":null,"section":"Probability Math","hidden":false,"hero":false,"slider":null,"value":0.49999824781728935,"display":"0.5"},{"text":"prob at least one match = 1 - prob no match // @hero @label(P(any 2 share birthday))","label":"P(any 2 share 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= ceil(sqrt(2 * days * ln(100))) // @label(People needed for 99% odds)","label":"People needed for 99% odds","prefix":null,"suffix":null,"section":"Reference Counts","hidden":false,"hero":false,"slider":null,"value":58,"display":"58"}]},{"id":"bits-to-terabytes-converter","title":"Bits To Terabytes Converter","description":"Convert a total number of bits to terabytes.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"total_bits = 10000000000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000000000000,"display":"10,000,000,000,000"},{"text":"@hero terabytes = total_bits / (8 * 10^12)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.25,"display":"1.25"}]},{"id":"black-hole-event-horizon","title":"Black Hole Event Horizon","description":"Calculate a black 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mass_solar_masses * solar_mass_kilograms) / speed_of_light^2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":29539.93771397716,"display":"29,539.9377"}]},{"id":"black-hole-schwarzschild-radius","title":"Black Hole Schwarzschild Radius","description":"Calculate the Schwarzschild radius of a black hole in kilometers from its mass.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"object_mass_kilograms = 1.989e30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.989e+30,"display":"1.989e30"},{"text":"gravitational_constant = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"speed_of_light = 299792458","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"schwarzschild_radius_meters = (2 * gravitational_constant * object_mass_kilograms) / (speed_of_light ** 2)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2953.993771397716,"display":"2,953.9938"},{"text":"schwarzschild_radius_kilometers = schwarzschild_radius_meters / 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.953993771397716,"display":"2.954"}]},{"id":"black-jack-basic-strategy-odds","title":"Black Jack Basic Strategy Odds","description":"Estimate the house edge in blackjack from deck count and dealer soft-17 rules.","category":"other","icon":"calculator","tags":["strategy","odds"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"# Rules","label":null,"prefix":null,"suffix":null,"section":"Rules","hero":false,"slider":null,"value":null,"display":null},{"text":"number of decks = 6 // 1..8","label":null,"prefix":null,"suffix":null,"section":"Rules","hidden":false,"hero":false,"slider":{"min":1,"max":8,"step":0.1},"value":6,"display":"6"},{"text":"dealer hits soft 17 = 1 // toggle()","label":null,"prefix":null,"suffix":null,"section":"Rules","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Base Edge","label":null,"prefix":null,"suffix":null,"section":"Base Edge","hero":false,"slider":null,"value":null,"display":null},{"text":"base edge = 0.5 // % (typical)","label":null,"prefix":null,"suffix":"% (typical)","section":"Base Edge","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_deck_penalty = (number of decks - 1) * 0.02","label":null,"prefix":null,"suffix":null,"section":"Base 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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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@hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":10.40364478039402,"display":"$10.40"},{"text":"$put option price = call option price + k * exp(-r * t) - s","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":5.52658723046542,"display":"$5.53"},{"text":"$intrinsic value = if(s > k, s - k, 0)","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":0,"display":"$0.00"},{"text":"$time value = call option price - intrinsic value","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":10.40364478039402,"display":"$10.40"}]},{"id":"block-wall-estimator","title":"Block Wall Estimator","description":"Estimate the number of standard CMU blocks needed for a wall, including 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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 time.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.108Z"},"rows":[{"text":"# Consumption","label":null,"prefix":null,"suffix":null,"section":"Consumption","hero":false,"slider":null,"value":null,"display":null},{"text":"standard drinks = 3 // 0..20","label":null,"prefix":null,"suffix":null,"section":"Consumption","hidden":false,"hero":false,"slider":{"min":0,"max":20,"step":1},"value":3,"display":"3"},{"text":"time since first drink = 2 // hours 0..24","label":null,"prefix":null,"suffix":"hours","section":"Consumption","hidden":false,"hero":false,"slider":{"min":0,"max":24,"step":1},"value":2,"display":"2"},{"text":"# Personal Stats","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Personal Stats","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Personal Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Widmark Formula","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"alcohol grams = standard drinks * 14","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hidden":false,"hero":false,"slider":null,"value":42,"display":"42"},{"text":"weight grams = weight * 453.592","label":null,"prefix":null,"suffix":null,"section":"Widmark Formula","hidden":false,"hero":false,"slider":null,"value":81646.56,"display":"81,646.56"},{"text":"gender constant = is male * 0.68 + (1 - is male) * 0.55","label":null,"prefix":null,"suffix":null,"section":"Widmark 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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":"2026-05-19T03:36:31.109Z"},"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 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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":"2026-05-19T03:36:31.110Z"},"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 // 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1..10","label":null,"prefix":null,"suffix":null,"section":"Room Info","hidden":false,"hero":false,"slider":{"min":1,"max":10,"step":0.1},"value":2,"display":"2"},{"text":"is kitchen = 0 // toggle()","label":null,"prefix":null,"suffix":null,"section":"Room Info","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"is sunny = 0 // toggle()","label":null,"prefix":null,"suffix":null,"section":"Room Info","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"# Base BTU","label":null,"prefix":null,"suffix":null,"section":"Base BTU","hero":false,"slider":null,"value":null,"display":null},{"text":"_area = length * width","label":null,"prefix":null,"suffix":null,"section":"Base BTU","hidden":true,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"_base_btu = area * 20","label":null,"prefix":null,"suffix":null,"section":"Base BTU","hidden":true,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"# 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probability_of_help_per_person)^number_of_bystanders","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.4095099999999999,"display":"0.4095"}]},{"id":"cabinet-hardware-placement","title":"Cabinet Hardware Placement","description":"Calculate centering and offset for pulls and knobs.","category":"design","icon":"layout","tags":["design","woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.111Z"},"rows":[{"text":"door_height_inches = 30 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"door_width_inches = 15 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"pull_length_inches = 4 // 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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":"$","suffix":null,"section":"Loan 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total_monthly_rental_cost * 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":9600,"display":"$9,600.00"},{"text":"break even days per month = total_monthly_ownership_cost / rental cost per day","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":10.625,"display":"10.625"}]},{"id":"carbon-sequestration-per-tree","title":"Carbon Sequestration Per Tree","description":"Estimate annual CO2 sequestered by a tree from age and growth rate.","category":"health","icon":"activity","tags":["carbon","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.112Z"},"rows":[{"text":"tree_age_years = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"growth_rate_factor = 1.0 // 1.0 for average, 1.5 for fast","label":null,"prefix":null,"suffix":"1.0 for average, 1.5 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Materials","label":null,"prefix":null,"suffix":null,"section":"Materials","hero":false,"slider":null,"value":null,"display":null},{"text":"waste factor percent = 10 // 5..25","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":{"min":5,"max":25,"step":1},"value":10,"display":"10"},{"text":"total yards with waste = round(area square yards * (1 + waste factor percent / 100), 2)","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"},{"text":"# Cost","label":null,"prefix":null,"suffix":null,"section":"Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"$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 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flow.","category":"finance","icon":"dollar-sign","tags":["cash","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.112Z"},"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":"$","suffix":null,"section":"Investment 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@suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":10.434782608695652,"display":"10.4348"},{"text":"$monthly cash flow = total annual pre tax cash flow / 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":600,"display":"$600.00"},{"text":"years to recoup investment = total_cash_invested / total annual pre tax cash flow","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":9.583333333333334,"display":"9.5833"}]},{"id":"cat-years-to-human-years","title":"Cat Years To Human Years","description":"Convert a cat's age in years to its equivalent human age.","category":"everyday","icon":"cat","tags":["human","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.112Z"},"rows":[{"text":"actual_cat_age_years = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"first_year_human_equivalent = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"second_year_human_equivalent = 9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"additional_years_multiplier = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"equivalent_human_age = first_year_human_equivalent + second_year_human_equivalent + (actual_cat_age_years - 2) * additional_years_multiplier","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"cell-turnover","title":"Cell Turnover","description":"Total cells in the body and how many are replaced each day or year.","category":"health","icon":"atom","tags":["biology","body","turnover"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.112Z"},"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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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":"2026-05-19T03:36:31.113Z"},"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":"2026-05-19T03:36:31.113Z"},"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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screen.","category":"design","icon":"palette","tags":["aspect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.113Z"},"rows":[{"text":"screen_width = 1920 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":1920,"display":"1,920"},{"text":"screen_height = 1080 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":1080,"display":"1,080"},{"text":"target_aspect_ratio = 2.39 // cinematic wide","label":null,"prefix":null,"suffix":"cinematic wide","section":null,"hidden":false,"hero":false,"slider":null,"value":2.39,"display":"2.39"},{"text":"_content_height = screen_width / target_aspect_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":803.347280334728,"display":"803.3473"},{"text":"@hero letterbox_bar_height = (screen_height - content_height) / 2 // 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Breakdown","label":null,"prefix":null,"suffix":null,"section":"Closing Cost Breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"$lender fees = home price * 0.01 // @label(Lender/Origination Fees ~1%)","label":"Lender/Origination Fees ~1%","prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":null,"value":3500,"display":"$3,500.00"},{"text":"$title insurance = 1500 // 500..5k by 100","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":500,"max":5000,"step":100},"value":1500,"display":"$1,500.00"},{"text":"$appraisal fee = 500 // 200..1k by 50","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":200,"max":1000,"step":50},"value":500,"display":"$500.00"},{"text":"$home inspection = 450 // 200..800 by 50","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":200,"max":800,"step":50},"value":450,"display":"$450.00"},{"text":"$escrow and recording = 750 // 200..2k by 50","label":null,"prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":{"min":200,"max":2000,"step":50},"value":750,"display":"$750.00"},{"text":"$prepaid taxes and insurance = home price * 0.005 // @label(Prepaid Taxes & Insurance ~0.5%)","label":"Prepaid Taxes & Insurance ~0.5%","prefix":"$","suffix":null,"section":"Closing Cost Breakdown","hidden":false,"hero":false,"slider":null,"value":1750,"display":"$1,750.00"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated closing costs = lender fees + title insurance + appraisal fee + home inspection + escrow and recording + prepaid taxes and 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total current assets / total current liabilities // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1.6666666666666667,"display":"1.6667"},{"text":"$working capital = total current assets - total current liabilities","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":60000,"display":"$60,000.00"},{"text":"liquidity health = if(current ratio > 2, \"Excellent\", if(current ratio >= 1, \"Good\", \"Weak\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Good","display":"Good"}]},{"id":"customer-acquisition-cost","title":"Customer Acquisition Cost","description":"Calculate customer acquisition cost (CAC) from marketing and sales 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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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4.6","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":4.6,"display":"4.6"},{"text":"cat one = 5.3","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":5.3,"display":"5.3"},{"text":"pro = 6.0","label":null,"prefix":null,"suffix":null,"section":"Category Guide","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"}]},{"id":"cylinder-surface-area","title":"Cylinder Surface Area","description":"Find the total surface area of a closed cylinder: A = 2πr(r + h).","category":"formulas","icon":"cylinder","tags":["surface-area","geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.117Z"},"rows":[{"text":"# Cylinder","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"height = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# Surface area","label":null,"prefix":null,"suffix":null,"section":"Surface area","hero":false,"slider":null,"value":null,"display":null},{"text":"lateral_area = 2 * pi * radius * height","label":null,"prefix":null,"suffix":null,"section":"Surface area","hidden":false,"hero":false,"slider":null,"value":314.15926535897927,"display":"314.1593"},{"text":"end_area = 2 * pi * radius^2 // @label(Two Circular Ends)","label":"Two Circular Ends","prefix":null,"suffix":null,"section":"Surface area","hidden":false,"hero":false,"slider":null,"value":157.07963267948966,"display":"157.0796"},{"text":"total_surface_area = lateral_area + end_area","label":null,"prefix":null,"suffix":null,"section":"Surface area","hidden":false,"hero":true,"slider":null,"value":471.23889803846896,"display":"471.2389"}]},{"id":"cylinder-volume","title":"Cylinder Volume","description":"Find the volume of a cylinder: V = π × r² × h.","category":"formulas","icon":"cylinder","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.118Z"},"rows":[{"text":"# Cylinder","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hero":false,"slider":null,"value":null,"display":null},{"text":"radius = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"height = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Cylinder","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"# 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1..5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":{"min":1,"max":5,"step":0.05},"value":3,"display":"3"},{"text":"focus_hours = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"@hero productivity_score = tasks_completed * average_task_difficulty * focus_hours // max 200","label":null,"prefix":null,"suffix":"max 200","section":null,"hidden":false,"hero":true,"slider":null,"value":120,"display":"120"}]},{"id":"damage-rate-shipping","title":"Shipping Damage Rate","description":"Track the percentage of units damaged during transportation.","category":"business","icon":"alert-triangle","tags":["shipping"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.118Z"},"rows":[{"text":"damagedUnits = 12 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"totalUnitsShipped = 5000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"damageRate = (damagedUnits / totalUnitsShipped) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.24,"display":"0.24"}]},{"id":"damage-reduction-armor-classic","title":"Damage Reduction Armor Classic","description":"Calculate damage reduction from armor using a classic MMO formula.","category":"math","icon":"shield","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.118Z"},"rows":[{"text":"# Defense Settings","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"armor value = 500","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"level factor = 100","label":null,"prefix":null,"suffix":null,"section":"Defense Settings","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"damage reduction percent = (armor value / (armor value + (400 + (85 * level factor)))) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5.319148936170214,"display":"5.3191"}]},{"id":"damage-reduction-armor-diminishing","title":"Damage Reduction Armor Diminishing","description":"Calculate damage reduction with diminishing 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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":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.118Z"},"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 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\"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":"2026-05-19T03:36:31.118Z"},"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":"$7,209.69"},{"text":"interest pct = round((total interest paid / total debt) * 100 * 10) / 10 // % @label(Interest as % of Debt)","label":"Interest as % of Debt","prefix":null,"suffix":"%","section":"Cost Summary","hidden":false,"hero":false,"slider":null,"value":48.1,"display":"48.1"}]},{"id":"debt-service-coverage-ratio","title":"Debt Service Coverage Ratio","description":"Measure the ability of a property to cover its mortgage payments.","category":"real-estate","icon":"shield-check","tags":["debt","coverage"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.118Z"},"rows":[{"text":"netOperatingIncome = 60000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":60000,"display":"60,000"},{"text":"annualDebtService = 45000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":45000,"display":"45,000"},{"text":"dscr = netOperatingIncome / 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50","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":50},"value":1800,"display":"$1,800.00"},{"text":"$monthly car payments = 400 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":400,"display":"$400.00"},{"text":"$monthly credit card minimums = 150 // 0..2k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":2000,"step":25},"value":150,"display":"$150.00"},{"text":"$other monthly debt payments = 200 // 0..5k by 25","label":null,"prefix":"$","suffix":null,"section":"Monthly Income and Debt","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":25},"value":200,"display":"$200.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_total_monthly_debt = monthly mortgage or rent + monthly car payments + monthly credit card minimums + other monthly debt payments","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":2550,"display":"$2,550.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"debt to income ratio = (total_monthly_debt / gross monthly income) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":42.5,"display":"42.5"},{"text":"$remaining monthly income = gross monthly income - total_monthly_debt","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":3450,"display":"$3,450.00"},{"text":"health = if(debt to income ratio < 36, \"Healthy\", if(debt to income ratio < 43, \"Moderate\", \"High\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Moderate","display":"Moderate"}]},{"id":"debuff-resistance-probability","title":"Debuff Resistance Probability","description":"Calculate probability to resist a debuff.","category":"math","icon":"shield-off","tags":["gaming","combat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.118Z"},"rows":[{"text":"total_work_hours = 8 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"deep_work_hours = 3 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"@hero deep_work_ratio_percent = (deep_work_hours / total_work_hours) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":37.5,"display":"37.5"}]},{"id":"definite-integral","title":"Definite Integral — Power Rule","description":"Evaluate ∫ₐᵇ c·xⁿ dx = c·(b^(n+1) − a^(n+1))/(n+1).","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.118Z"},"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":"2026-05-19T03:36:31.119Z"},"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":"2026-05-19T03:36:31.119Z"},"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":"2026-05-19T03:36:31.119Z"},"rows":[{"text":"# Sample","label":null,"prefix":null,"suffix":null,"section":"Sample","hero":false,"slider":null,"value":null,"display":null},{"text":"mass kg = 6000000000000 // kg 0.001..1e20","label":null,"prefix":null,"suffix":"kg","section":"Sample","hidden":false,"hero":false,"slider":{"min":0.001,"max":100000000000000000000,"step":1000000000000000000},"value":6000000000000,"display":"6,000,000,000,000"},{"text":"volume ml = 5 // mL 0.001..100k","label":null,"prefix":null,"suffix":"mL","section":"Sample","hidden":false,"hero":false,"slider":{"min":0.001,"max":100000,"step":1000},"value":5,"display":"5"},{"text":"# Density","label":null,"prefix":null,"suffix":null,"section":"Density","hero":false,"slider":null,"value":null,"display":null},{"text":"_volume_m3 = volume ml / 1000000 // m³","label":null,"prefix":null,"suffix":"m³","section":"Density","hidden":true,"hero":false,"slider":null,"value":0.000005,"display":"0.000005"},{"text":"density kg per m3 = mass kg / volume_m3 // kg/m³ @label(Density (kg/m³))","label":"Density (kg/m³)","prefix":null,"suffix":"kg/m³","section":"Density","hidden":false,"hero":false,"slider":null,"value":1200000000000000000,"display":"1.2e18"},{"text":"density g per cc = density kg per m3 / 1000 // g/cm³ @label(Density (g/cm³))","label":"Density (g/cm³)","prefix":null,"suffix":"g/cm³","section":"Density","hidden":false,"hero":false,"slider":null,"value":1200000000000000,"display":"1,200,000,000,000,000"},{"text":"# Mass per Teaspoon (5 mL)","label":null,"prefix":null,"suffix":null,"section":"Mass per Teaspoon (5 mL)","hero":false,"slider":null,"value":null,"display":null},{"text":"mass per tsp kg = density kg per m3 * 5 / 1000000 // @label(Mass per teaspoon)","label":"Mass per teaspoon","prefix":null,"suffix":null,"section":"Mass per Teaspoon (5 mL)","hidden":false,"hero":false,"slider":null,"value":6000000000000,"display":"6,000,000,000,000"},{"text":"mass per tsp tons = mass per tsp kg / 1000 // tons @hero @label(Mass per teaspoon (metric tons))","label":"Mass per teaspoon (metric tons)","prefix":null,"suffix":"tons","section":"Mass per Teaspoon (5 mL)","hidden":false,"hero":true,"slider":null,"value":6000000000,"display":"6,000,000,000"},{"text":"# 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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":"2026-05-19T03:36:31.119Z"},"rows":[{"text":"# Values","label":null,"prefix":null,"suffix":null,"section":"Values","hero":false,"slider":null,"value":null,"display":null},{"text":"fprime_at_g = 4 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":4,"display":"4"},{"text":"gprime_at_x = 7 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Values","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":7,"display":"7"},{"text":"# Chain rule","label":null,"prefix":null,"suffix":null,"section":"Chain rule","hero":false,"slider":null,"value":null,"display":null},{"text":"derivative = fprime_at_g * gprime_at_x // @label((f∘g)'(x))","label":"(f∘g)'(x)","prefix":null,"suffix":null,"section":"Chain rule","hidden":false,"hero":true,"slider":null,"value":28,"display":"28"}]},{"id":"derivative-power-rule","title":"Derivative — Power Rule","description":"Evaluate d/dx [a·xⁿ] = a·n·x^(n−1) at a given point.","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.119Z"},"rows":[{"text":"# Function: f(x) = a · x^n","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"n = 4 // -10..10","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":1},"value":4,"display":"4"},{"text":"x = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"# Original and derivative at x","label":null,"prefix":null,"suffix":null,"section":"Original and derivative at x","hero":false,"slider":null,"value":null,"display":null},{"text":"f_x = a * x^n // @label(f(x))","label":"f(x)","prefix":null,"suffix":null,"section":"Original and derivative at x","hidden":false,"hero":false,"slider":null,"value":48,"display":"48"},{"text":"fprime_x = a * n * x^(n - 1) // @label(f'(x))","label":"f'(x)","prefix":null,"suffix":null,"section":"Original and derivative at x","hidden":false,"hero":true,"slider":null,"value":96,"display":"96"}]},{"id":"derivative-product-rule","title":"Derivative — Product Rule","description":"Evaluate (f·g)' = f'·g + f·g' at a given x using user-supplied f, g, f', g'.","category":"formulas","icon":"sigma","tags":["calculus"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.119Z"},"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":"2026-05-19T03:36:31.119Z"},"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":"2026-05-19T03:36:31.119Z"},"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":"$","suffix":null,"section":"Original 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Tax","hero":false,"slider":null,"value":null,"display":null},{"text":"sales tax rate = 8.25 // % 0..15 by 0.25","label":null,"prefix":null,"suffix":"%","section":"After Sales Tax","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.25},"value":8.25,"display":"8.25"},{"text":"$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":"2026-05-19T03:36:31.119Z"},"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":"2026-05-19T03:36:31.119Z"},"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 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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":"2026-05-19T03:36:31.120Z"},"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 = 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receivingTime + inspectionTime + putAwayTime","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":65,"display":"65"}]},{"id":"document-review-productivity","title":"Doc Review Productivity","description":"Measure documents reviewed per hour in legal discovery.","category":"other","icon":"file-text","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.120Z"},"rows":[{"text":"totalDocumentsReviewed = 5000 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"totalHoursSpent = 100 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"reviewRate = totalDocumentsReviewed / 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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":"2026-05-19T03:36:31.120Z"},"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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Materials","label":null,"prefix":null,"suffix":null,"section":"Materials","hero":false,"slider":null,"value":null,"display":null},{"text":"waste factor percent = 15 // 5..30","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":{"min":5,"max":30,"step":1},"value":15,"display":"15"},{"text":"total panels with waste = roundup(panels needed * (1 + waste factor percent / 100))","label":null,"prefix":null,"suffix":null,"section":"Materials","hidden":false,"hero":false,"slider":null,"value":29,"display":"29"},{"text":"# Accessories","label":null,"prefix":null,"suffix":null,"section":"Accessories","hero":false,"slider":null,"value":null,"display":null},{"text":"# Rule of thumb: 1 gallon of joint compound per 100 sq ft","label":null,"prefix":null,"suffix":null,"section":"Rule of thumb: 1 gallon of joint compound per 100 sq ft","hero":false,"slider":null,"value":null,"display":null},{"text":"joint compound gallons = round(total area / 100, 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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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@hero","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":true,"slider":null,"value":32.6784544740555,"display":"32.6785"},{"text":"horizon distance = distance to horizon // miles","label":null,"prefix":null,"suffix":"miles","section":"Result","hidden":false,"hero":false,"slider":null,"value":2.999621188204816,"display":"2.9996"},{"text":"total drop = (distance to object^2) / (2 * earth radius miles) * 5280 // feet","label":null,"prefix":null,"suffix":"feet","section":"Result","hidden":false,"hero":false,"slider":null,"value":66.68350593584239,"display":"66.6835"}]},{"id":"ebay-profit-calculator","title":"Ebay Profit Calculator","description":"Calculate net profit on an eBay sale after item cost, shipping, and fees.","category":"finance","icon":"dollar-sign","tags":["profit","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.121Z"},"rows":[{"text":"selling_price = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"shipping_charged = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"item_cost = 40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"shipping_cost = 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"ebay_fee_percentage = 0.1325","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.1325,"display":"0.1325"},{"text":"ebay_per_order_fee = 0.30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"total_revenue = selling_price + 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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":"$670,000.00"},{"text":"ebitda margin = (ebitda / (net income * 4)) * 100 // % (assumes revenue is 4x net income for context)","label":null,"prefix":null,"suffix":"% (assumes revenue is 4x net income for context)","section":"Result","hidden":false,"hero":false,"slider":null,"value":38.5,"display":"38.5"}]},{"id":"eco-label-product-premium","title":"Eco Label Product Premium","description":"Compare costs of eco-labeled vs standard products.","category":"finance","icon":"tag","tags":["finance","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.121Z"},"rows":[{"text":"standard_product_price = 10 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"eco_label_premium_percent = 15 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"@hero eco_product_price = standard_product_price * (1 + eco_label_premium_percent / 100) // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11.5,"display":"11.5"},{"text":"annual_extra_cost_if_buying_weekly = (eco_product_price - standard_product_price) * 52 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":78,"display":"78"}]},{"id":"economic-order-quantity","title":"Economic Order Quantity","description":"Find the optimal order size to minimize total inventory costs.","category":"business","icon":"shopping-cart","tags":["order"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.121Z"},"rows":[{"text":"annualDemand = 10000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"orderCost = 50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"holdingCostPerUnit = 2.50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":2.5,"display":"2.5"},{"text":"eoq = sqrt((2 * annualDemand * orderCost) / holdingCostPerUnit)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":632.4555320336759,"display":"632.4555"}]},{"id":"effective-annual-rate","title":"Effective Annual Rate","description":"Effective annual rate from a nominal rate compounded n times per year: EAR = (1 + r/n)ⁿ − 1.","category":"formulas","icon":"percent","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.121Z"},"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":"2026-05-19T03:36:31.121Z"},"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":"2026-05-19T03:36:31.121Z"},"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 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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":"2026-05-19T03:36:31.121Z"},"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":"2026-05-19T03:36:31.121Z"},"rows":[{"text":"power_input = 1000 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"power_output = 850 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":850,"display":"850"},{"text":"@hero efficiency_percentage = (power_output / power_input) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":85,"display":"85"},{"text":"@hero power_loss = power_input - power_output // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":true,"slider":null,"value":150,"display":"150"}]},{"id":"electrical-wire","title":"Wire Gauge","description":"Calculate minimum wire gauge for an electrical circuit.","category":"engineering","icon":"zap","tags":["electrical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.121Z"},"rows":[{"text":"# Circuit Requirements","label":null,"prefix":null,"suffix":null,"section":"Circuit Requirements","hero":false,"slider":null,"value":null,"display":null},{"text":"amps = 20 // 1..200","label":null,"prefix":null,"suffix":null,"section":"Circuit Requirements","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":20,"display":"20"},{"text":"distance ft = 100 // 10..1k","label":null,"prefix":null,"suffix":null,"section":"Circuit Requirements","hidden":false,"hero":false,"slider":{"min":10,"max":1000,"step":1},"value":100,"display":"100"},{"text":"voltage = 120 // V 12..480 by 12","label":null,"prefix":null,"suffix":"V","section":"Circuit Requirements","hidden":false,"hero":false,"slider":{"min":12,"max":480,"step":12},"value":120,"display":"120"},{"text":"# Wire Sizing (copper, NEC)","label":null,"prefix":null,"suffix":null,"section":"Wire Sizing (copper, NEC)","hero":false,"slider":null,"value":null,"display":null},{"text":"max voltage drop pct = 3 // % 1..5 by 0.5","label":null,"prefix":null,"suffix":"%","section":"Wire Sizing (copper, NEC)","hidden":false,"hero":false,"slider":{"min":1,"max":5,"step":0.5},"value":3,"display":"3"},{"text":"_resistivity = 10.4 // ohm-cmil/ft (copper at 75°C)","label":null,"prefix":null,"suffix":"ohm-cmil/ft (copper at 75°C)","section":"Wire Sizing (copper, NEC)","hidden":true,"hero":false,"slider":null,"value":10.4,"display":"10.4"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"total wire length = distance ft * 2 // @label(Round-trip wire length) @suffix(ft)","label":"Round-trip wire length","prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"min wire area cmil = round((2 * resistivity * distance ft * amps) / (voltage * max voltage drop pct / 100)) // @hero @label(Min wire area (circular mils))","label":"Min wire area (circular mils)","prefix":null,"suffix":null,"section":"Calculations","hidden":false,"hero":true,"slider":null,"value":11556,"display":"11,556"},{"text":"# Voltage Drop","label":null,"prefix":null,"suffix":null,"section":"Voltage Drop","hero":false,"slider":null,"value":null,"display":null},{"text":"voltage drop = round((2 * resistivity * distance ft * amps) / min wire area cmil * 100) / 100 // V","label":null,"prefix":null,"suffix":"V","section":"Voltage Drop","hidden":false,"hero":false,"slider":null,"value":3.6,"display":"3.6"},{"text":"voltage drop pct = round((voltage drop / voltage) * 100 * 100) / 100 // % @label(Voltage drop %)","label":"Voltage drop %","prefix":null,"suffix":"%","section":"Voltage Drop","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"power loss watts = round(voltage drop * amps * 10) / 10 // W @label(Power lost in wire)","label":"Power lost in wire","prefix":null,"suffix":"W","section":"Voltage Drop","hidden":false,"hero":false,"slider":null,"value":72,"display":"72"}]},{"id":"electricity-bill","title":"Electricity Bill","description":"Estimate your monthly electricity bill from appliance usage.","category":"everyday","icon":"zap","tags":["everyday"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.121Z"},"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":"2026-05-19T03:36:31.122Z"},"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":"2026-05-19T03:36:31.122Z"},"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":"2026-05-19T03:36:31.122Z"},"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":"2026-05-19T03:36:31.122Z"},"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":"2026-05-19T03:36:31.122Z"},"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":"$8,000.00"},{"text":"months currently covered = current_emergency_savings / monthly_essential_expenses","label":null,"prefix":null,"suffix":null,"section":"Current 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taxes = round(annual salary * payroll tax rate / 100 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"True Cost","hidden":false,"hero":false,"slider":null,"value":5737.5,"display":"$5,737.50"},{"text":"$total overhead = equipment and software + office and facilities + training and development","label":null,"prefix":"$","suffix":null,"section":"True Cost","hidden":false,"hero":false,"slider":null,"value":11000,"display":"$11,000.00"},{"text":"$total annual cost = round((annual salary + benefits cost + payroll taxes + total overhead) * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"True Cost","hidden":false,"hero":true,"slider":null,"value":110487.5,"display":"$110,487.50"},{"text":"cost multiplier = round(total annual cost / annual salary * 100) / 100 // @label(Cost multiplier over salary)","label":"Cost multiplier over salary","prefix":null,"suffix":null,"section":"True 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10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero population_after_years = carrying_capacity / (1 + ((carrying_capacity - initial_population) / initial_population) * exp(- (annual_growth_rate_percent / 100) * years))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":709.3224887848869,"display":"709.3225"}]},{"id":"energy-conversion","title":"Gas vs EV Energy","description":"Useful work from a gas tank versus an EV battery after efficiency losses.","category":"everyday","icon":"battery-charging","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.122Z"},"rows":[{"text":"# Gasoline Side","label":null,"prefix":null,"suffix":null,"section":"Gasoline Side","hero":false,"slider":null,"value":null,"display":null},{"text":"gallons = 8 // 0.1..50 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Gasoline Side","hidden":false,"hero":false,"slider":{"min":0.1,"max":50,"step":0.1},"value":8,"display":"8"},{"text":"_kwh_per_gallon = 33.7 // kWh","label":null,"prefix":null,"suffix":"kWh","section":"Gasoline Side","hidden":true,"hero":false,"slider":null,"value":33.7,"display":"33.7"},{"text":"ice efficiency = 25 // % 5..50","label":null,"prefix":null,"suffix":"%","section":"Gasoline Side","hidden":false,"hero":false,"slider":{"min":5,"max":50,"step":1},"value":25,"display":"25"},{"text":"total gas kwh = gallons * kwh_per_gallon // kWh @label(Gas chemical energy)","label":"Gas chemical energy","prefix":null,"suffix":"kWh","section":"Gasoline Side","hidden":false,"hero":false,"slider":null,"value":269.6,"display":"269.6"},{"text":"useful gas kwh = total gas kwh * ice efficiency / 100 // kWh @label(Useful work from gas)","label":"Useful work from gas","prefix":null,"suffix":"kWh","section":"Gasoline 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Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"ev equivalent gallons = round(useful ev kwh / (kwh_per_gallon * ice efficiency / 100), 1) // gal @label(EV battery in \"useful\" gallons)","label":"EV battery in \"useful\" gallons","prefix":null,"suffix":"gal","section":"Comparison","hidden":false,"hero":false,"slider":null,"value":7.6,"display":"7.6"},{"text":"ratio = round(useful ev kwh / useful gas kwh, 2) // @label(EV useful ÷ Gas useful)","label":"EV useful ÷ Gas useful","prefix":null,"suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":0.95,"display":"0.95"}]},{"id":"energy-cost-bitcoin-mining","title":"Energy Cost Bitcoin Mining","description":"Calculate daily electricity cost to run a Bitcoin mining rig at a given 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(radius_centimeters ^ 2) * stroke_centimeters","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":499.55721421792737,"display":"499.5572"},{"text":"total displacement cubic centimeters = displacement_per_cylinder * cylinder count","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1998.2288568717095,"display":"1,998.2289"}]},{"id":"environmental-compliance-audit-score","title":"Environmental Audit Score","description":"Measure your facility's environmental compliance performance.","category":"other","icon":"leaf","tags":["compliance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.122Z"},"rows":[{"text":"auditPointsEarned = 85 // points","label":null,"prefix":null,"suffix":"points","section":null,"hidden":false,"hero":false,"slider":null,"value":85,"display":"85"},{"text":"totalPossiblePoints = 100 // 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= 12","label":null,"prefix":null,"suffix":null,"section":"Game Stats","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"# Progress","label":null,"prefix":null,"suffix":null,"section":"Progress","hero":false,"slider":null,"value":null,"display":null},{"text":"puzzles solved = 4","label":null,"prefix":null,"suffix":null,"section":"Progress","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"time elapsed = 25 // minutes","label":null,"prefix":null,"suffix":"minutes","section":"Progress","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_time_per_puzzle_goal = total time minutes / number of puzzles","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"_puzzles_remaining = number of 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6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"escape_velocity_meters_per_second = sqrt(2 * gravitational_constant * planetary_mass_kilograms / planetary_radius_meters)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11183.853306979057,"display":"11,183.8533"}]},{"id":"espresso-brew-ratio","title":"Espresso Brew Ratio","description":"Calculate espresso brew ratio from dose and yield in grams.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.123Z"},"rows":[{"text":"dose_grams = 18","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"yield_grams = 36","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":36,"display":"36"},{"text":"@hero brew_ratio = yield_grams / dose_grams","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2,"display":"2"}]},{"id":"estate-tax-calculator","title":"Estate Tax Calculator","description":"Estimate federal estate tax owed and the amount passing to heirs.","category":"finance","icon":"dollar-sign","tags":["estate","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.123Z"},"rows":[{"text":"# Estate Details","label":null,"prefix":null,"suffix":null,"section":"Estate Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$total estate value = 15000000 // 1M..50M by 100k","label":null,"prefix":"$","suffix":null,"section":"Estate 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%","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":3.7066666666666666,"display":"3.7067"}]},{"id":"ethereum-staking-reward-estimate","title":"Ethereum Staking Reward Estimate","description":"Estimate monthly ETH staking rewards from staked amount and APY.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.123Z"},"rows":[{"text":"amount_staked_ethereum = 32","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"annual_percentage_yield = 0.04","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"},{"text":"estimated_annual_staking_reward = amount_staked_ethereum * annual_percentage_yield","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.28,"display":"1.28"},{"text":"estimated_monthly_reward = estimated_annual_staking_reward / 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.10666666666666667,"display":"0.1067"}]},{"id":"etsy-fee-breakdown","title":"Etsy Fee Breakdown","description":"Calculate total Etsy fees on a sale from listing, transaction, and processing fees.","category":"other","icon":"calculator","tags":["fee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.123Z"},"rows":[{"text":"item_price = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"shipping_charged = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"listing_fee = 0.20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"transaction_fee_percentage = 0.065","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.065,"display":"0.065"},{"text":"payment_processing_percentage = 0.03","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.03,"display":"0.03"},{"text":"payment_processing_fixed = 0.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"total_price = item_price + shipping_charged","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"transaction_fee = total_price * transaction_fee_percentage","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.95,"display":"1.95"},{"text":"processing_fee = (total_price * payment_processing_percentage) + payment_processing_fixed","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.15,"display":"1.15"},{"text":"total_fees = listing_fee + transaction_fee + processing_fee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.3,"display":"3.3"}]},{"id":"ev-charging-time-calculator","title":"EV Charging Time Calculator","description":"Calculate EV charging 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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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= 0.3 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.3,"display":"0.3"},{"text":"x3 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"p3 = 0.15 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":0,"max":1,"step":0.01},"value":0.15,"display":"0.15"},{"text":"x4 = 10 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their probabilities","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":10,"display":"10"},{"text":"p4 = 0.05 // 0..1","label":null,"prefix":null,"suffix":null,"section":"Outcomes and their 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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":"2026-05-19T03:36:31.123Z"},"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":"2026-05-19T03:36:31.123Z"},"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":"2026-05-19T03:36:31.124Z"},"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":"2026-05-19T03:36:31.124Z"},"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":"2026-05-19T03:36:31.124Z"},"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":"2026-05-19T03:36:31.124Z"},"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":"2026-05-19T03:36:31.124Z"},"rows":[{"text":"number = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"result = 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dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":0.3,"display":"0.3"},{"text":"@hero total_fair_trade_organic_price = coffee_price_per_lb + fair_trade_social_premium_per_lb + organic_premium_per_lb // @prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":15.5,"display":"15.5"},{"text":"percentage_premium = (fair_trade_social_premium_per_lb + organic_premium_per_lb) / coffee_price_per_lb * 100 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":3.333333333333334,"display":"3.3333"}]},{"id":"fan-laws-performance-scaling","title":"Fan Laws Performance Scaling","description":"Predict fan performance changes with RPM 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10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"nitrogen_weight = fertilizer_weight_pounds * (nitrogen_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"phosphorus_weight = fertilizer_weight_pounds * (phosphorus_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.5,"display":"7.5"},{"text":"potassium_weight = fertilizer_weight_pounds * (potassium_percentage / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"}]},{"id":"fibonacci-nth-term","title":"Fibonacci nth Term","description":"Find the nth Fibonacci number (F₁=1, F₂=1, 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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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30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"chimney_flow_rate_cubic_feet_per_minute = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"temperature_difference = room_temperature_fahrenheit - outside_temperature_fahrenheit","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"heat_loss_btu_per_hour = chimney_flow_rate_cubic_feet_per_minute * 60 * 0.018 * temperature_difference","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8640,"display":"8,640"}]},{"id":"firewood-cord-volume","title":"Firewood Cord Volume","description":"Calculate how many standard cords a stacked firewood pile 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em","label":null,"prefix":null,"suffix":"em","section":null,"hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"parent_pixel_size = 16 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"@hero calculated_pixel_size = em_value * parent_pixel_size // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":24,"display":"24"}]},{"id":"food-water-footprint","title":"Food Water Footprint","description":"Calculate the water required to produce common food items.","category":"science","icon":"droplets","tags":["eco","water","food"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.126Z"},"rows":[{"text":"beef_grams = 100 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"chicken_grams 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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":"2026-05-19T03:36:31.127Z"},"rows":[{"text":"# Reference Note","label":null,"prefix":null,"suffix":null,"section":"Reference Note","hero":false,"slider":null,"value":null,"display":null},{"text":"base frequency = 440 // Hz 20..20k","label":null,"prefix":null,"suffix":"Hz","section":"Reference Note","hidden":false,"hero":false,"slider":{"min":20,"max":20000,"step":200},"value":440,"display":"440"},{"text":"semitones from base = 12 // -48..48","label":null,"prefix":null,"suffix":null,"section":"Reference Note","hidden":false,"hero":false,"slider":{"min":-48,"max":48,"step":1},"value":12,"display":"12"},{"text":"# Equal Temperament","label":null,"prefix":null,"suffix":null,"section":"Equal Temperament","hero":false,"slider":null,"value":null,"display":null},{"text":"frequency = base frequency * 2^(semitones from base / 12) // Hz @hero @label(Frequency) @suffix(Hz)","label":"Frequency","prefix":null,"suffix":"Hz","section":"Equal Temperament","hidden":false,"hero":true,"slider":null,"value":880,"display":"880"},{"text":"# Octave + Cents Breakdown","label":null,"prefix":null,"suffix":null,"section":"Octave + Cents Breakdown","hero":false,"slider":null,"value":null,"display":null},{"text":"octaves up = semitones from base / 12 // @label(Octaves from base)","label":"Octaves from 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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 @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":0.25,"display":"0.25"},{"text":"# Common Values","label":null,"prefix":null,"suffix":null,"section":"Common Values","hero":false,"slider":null,"value":null,"display":null},{"text":"ice on ice = 0.1","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.1,"display":"0.1"},{"text":"rubber on concrete = 0.7","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.7,"display":"0.7"},{"text":"wood on wood = 0.4","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.4,"display":"0.4"},{"text":"steel on steel = 0.6","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"teflon on steel = 0.04","label":null,"prefix":null,"suffix":null,"section":"Common Values","hidden":false,"hero":false,"slider":null,"value":0.04,"display":"0.04"}]},{"id":"frictional-force-coefficient-static","title":"Frictional Force Coefficient Static","description":"Calculate maximum static friction force from normal force and friction 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investment.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.127Z"},"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":"2026-05-19T03:36:31.127Z"},"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":"2026-05-19T03:36:31.127Z"},"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":"2026-05-19T03:36:31.127Z"},"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":"2026-05-19T03:36:31.127Z"},"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":"2026-05-19T03:36:31.127Z"},"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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Power","hidden":false,"hero":false,"slider":null,"value":400,"display":"400"},{"text":"cylinder count = 8","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"brake specific fuel consumption = 0.5","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"max duty cycle = 0.8","label":null,"prefix":null,"suffix":null,"section":"Engine Power","hidden":false,"hero":false,"slider":null,"value":0.8,"display":"0.8"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_fuel_flow = target horsepower * brake specific fuel consumption","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"flow per injector = (total_fuel_flow / cylinder count) / max duty cycle","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":31.25,"display":"31.25"}]},{"id":"fuel-surcharge-calculation","title":"Fuel Surcharge","description":"Calculate freight fuel surcharges based on current market prices.","category":"business","icon":"fuel","tags":["fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.127Z"},"rows":[{"text":"baseFuelPrice = 3.50 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"currentFuelPrice = 4.25 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":4.25,"display":"4.25"},{"text":"fuelEfficiency = 6.5 // miles per gallon","label":null,"prefix":null,"suffix":"miles per gallon","section":null,"hidden":false,"hero":false,"slider":null,"value":6.5,"display":"6.5"},{"text":"distanceDriven = 500 // miles","label":null,"prefix":null,"suffix":"miles","section":null,"hidden":false,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"_priceDifference = currentFuelPrice - baseFuelPrice","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.75,"display":"0.75"},{"text":"totalFuelSurcharge = (distanceDriven / fuelEfficiency) * priceDifference","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":57.692307692307686,"display":"57.6923"}]},{"id":"future-value","title":"Future Value","description":"Future value of a present amount: FV = PV · (1 + r)ⁿ.","category":"formulas","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.127Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"$present_value = 5000 // 1..10M","label":null,"prefix":"$","suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":10000000,"step":100000},"value":5000,"display":"$5,000.00"},{"text":"growth_rate = 7 // % 0..50 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":50,"step":0.1},"value":7,"display":"7"},{"text":"$years = 10 // 1..100","label":null,"prefix":"$","suffix":null,"section":"Inputs","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"$10.00"},{"text":"# Future value","label":null,"prefix":null,"suffix":null,"section":"Future value","hero":false,"slider":null,"value":null,"display":null},{"text":"$future_value = present_value * (1 + growth_rate / 100)^years","label":null,"prefix":"$","suffix":null,"section":"Future value","hidden":false,"hero":true,"slider":null,"value":9835.756786447831,"display":"$9,835.76"}]},{"id":"gacha-multi-pull-probability","title":"Gacha Multi Pull Probability","description":"Calculate the probability of at least one success in multiple gacha pulls.","category":"math","icon":"dice","tags":["gaming","gacha","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.127Z"},"rows":[{"text":"# Gacha Settings","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"total pulls = 10","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"success rate percent = 0.6 // %","label":null,"prefix":null,"suffix":"%","section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_success_rate = success rate percent / 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.006,"display":"0.006"},{"text":"_failure_rate = 1 - success_rate","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.994,"display":"0.994"},{"text":"_probability_of_no_success = failure_rate ^ total pulls","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.9415943502102122,"display":"0.9416"},{"text":"at least one success probability = (1 - probability_of_no_success) * 100 // percent","label":null,"prefix":null,"suffix":"percent","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5.84056497897878,"display":"5.8406"}]},{"id":"gacha-pity-counter-probability","title":"Gacha Pity Counter Probability","description":"Calculate the probability of success as you approach a gacha pity limit.","category":"math","icon":"dice","tags":["gaming","gacha","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.127Z"},"rows":[{"text":"# Pity Settings","label":null,"prefix":null,"suffix":null,"section":"Pity Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current pulls = 75","label":null,"prefix":null,"suffix":null,"section":"Pity Settings","hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"pity threshold = 90","label":null,"prefix":null,"suffix":null,"section":"Pity Settings","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"base success rate percent = 0.6 // %","label":null,"prefix":null,"suffix":"%","section":"Pity Settings","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_pulls_remaining = pity threshold - current pulls","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"_pity_factor = (current pulls / pity threshold) * 10","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":8.333333333333334,"display":"8.3333"},{"text":"adjusted success rate percent = base success rate percent + pity_factor","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":8.933333333333334,"display":"8.9333"}]},{"id":"gacha-single-pull-probability","title":"Gacha Single Pull Probability","description":"Calculate the probability of success in a single gacha pull.","category":"math","icon":"dice","tags":["gaming","gacha","probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.127Z"},"rows":[{"text":"# Gacha Settings","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"pulls = 1","label":null,"prefix":null,"suffix":null,"section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"success rate percent = 0.6 // %","label":null,"prefix":null,"suffix":"%","section":"Gacha Settings","hidden":false,"hero":false,"slider":null,"value":0.6,"display":"0.6"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_success_rate = success rate percent / 100","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.006,"display":"0.006"},{"text":"probability = success_rate * pulls","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":0.006,"display":"0.006"}]},{"id":"galactic-rotation-speed","title":"Galactic Rotation Speed","description":"Calculate galactic rotation velocity from distance from center and enclosed mass.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.127Z"},"rows":[{"text":"distance_from_center_lightyears = 26000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":26000,"display":"26,000"},{"text":"mass_inside_solar_masses = 1e11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100000000000,"display":"100,000,000,000"},{"text":"gravitational_constant = 4.302e-3 // pc * (km/s)^2 / M_sun","label":null,"prefix":null,"suffix":"pc * (km/s)^2 / M_sun","section":null,"hidden":false,"hero":false,"slider":null,"value":0.004302,"display":"0.004302"},{"text":"velocity_km_s = sqrt(gravitational_constant * mass_inside_solar_masses / (distance_from_center_lightyears / 3.26))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":232.25085906937252,"display":"232.2509"}]},{"id":"garden-path-paver-count","title":"Garden Path Paver Count","description":"Calculate pavers needed for a path, including joint 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mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"effective_paver_length_m = (paver_length_cm + joint_width_mm / 10) / 100 // m","label":null,"prefix":null,"suffix":"m","section":null,"hidden":false,"hero":false,"slider":null,"value":0.305,"display":"0.305"},{"text":"effective_paver_width_m = (paver_width_cm + joint_width_mm / 10) / 100 // m","label":null,"prefix":null,"suffix":"m","section":null,"hidden":false,"hero":false,"slider":null,"value":0.305,"display":"0.305"},{"text":"@hero total_pavers_needed = ceil((path_length_meters / effective_paver_length_m) * (path_width_meters / effective_paver_width_m))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":146,"display":"146"}]},{"id":"gas-cost","title":"Gas Cost","description":"Calculate fuel cost for a road trip.","category":"everyday","icon":"fuel","tags":["gas","fuel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.128Z"},"rows":[{"text":"# Trip Details","label":null,"prefix":null,"suffix":null,"section":"Trip Details","hero":false,"slider":null,"value":null,"display":null},{"text":"trip distance = 350 // miles 10..5k by 10","label":null,"prefix":null,"suffix":"miles","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":10},"value":350,"display":"350"},{"text":"fuel economy = 28 // mpg 10..60","label":null,"prefix":null,"suffix":"mpg","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":10,"max":60,"step":1},"value":28,"display":"28"},{"text":"gas price = $3.89 // /gal 1..8","label":null,"prefix":"$","suffix":"/gal","section":"Trip Details","hidden":false,"hero":false,"slider":{"min":1,"max":8,"step":0.1},"value":3.89,"display":"$3.89"},{"text":"# Fuel Needed","label":null,"prefix":null,"suffix":null,"section":"Fuel Needed","hero":false,"slider":null,"value":null,"display":null},{"text":"gallons needed = round(trip distance / fuel economy * 10) / 10","label":null,"prefix":null,"suffix":null,"section":"Fuel Needed","hidden":false,"hero":false,"slider":null,"value":12.5,"display":"12.5"},{"text":"$total gas cost = round(gallons needed * gas price * 100) / 100 // @hero","label":null,"prefix":"$","suffix":null,"section":"Fuel Needed","hidden":false,"hero":true,"slider":null,"value":48.63,"display":"$48.63"},{"text":"$cost per mile = round(gas price / fuel economy * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Fuel Needed","hidden":false,"hero":false,"slider":null,"value":0.14,"display":"$0.14"},{"text":"# Round Trip","label":null,"prefix":null,"suffix":null,"section":"Round Trip","hero":false,"slider":null,"value":null,"display":null},{"text":"round trip distance = trip distance * 2 // miles","label":null,"prefix":null,"suffix":"miles","section":"Round Trip","hidden":false,"hero":false,"slider":null,"value":700,"display":"700"},{"text":"round trip gallons = round(round trip distance / fuel economy * 10) / 10","label":null,"prefix":null,"suffix":null,"section":"Round Trip","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"$round trip cost = round(round trip gallons * gas price * 100) / 100 // @label(Round Trip Gas Cost)","label":"Round Trip Gas Cost","prefix":"$","suffix":null,"section":"Round Trip","hidden":false,"hero":false,"slider":null,"value":97.25,"display":"$97.25"}]},{"id":"gas-pressure-altitude-correction","title":"Gas Pressure Altitude Correction","description":"Calculate atmospheric pressure at altitude using the barometric formula.","category":"education","icon":"book-open","tags":["gas","altitude"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.128Z"},"rows":[{"text":"pressure_sea_level = 1013.25 // hPa","label":null,"prefix":null,"suffix":"hPa","section":null,"hidden":false,"hero":false,"slider":null,"value":1013.25,"display":"1,013.25"},{"text":"altitude = 1000 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"_scale_height = 8500 // meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":true,"hero":false,"slider":null,"value":8500,"display":"8,500"},{"text":"@hero pressure_at_altitude = pressure_sea_level * exp(-altitude / scale_height) // hPa","label":null,"prefix":null,"suffix":"hPa","section":null,"hidden":false,"hero":true,"slider":null,"value":900.7891447943624,"display":"900.7891"}]},{"id":"gay-lussacs-law-pressure-temperature","title":"Gay Lussacs Law Pressure Temperature","description":"Calculate final gas pressure after a temperature change at constant volume.","category":"education","icon":"book-open","tags":["temperature"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.128Z"},"rows":[{"text":"pressure_initial = 100 // kPa","label":null,"prefix":null,"suffix":"kPa","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"temperature_initial_celsius = 20 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"temperature_final_celsius = 80 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"_t1_kelvin = temperature_initial_celsius + 273.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":293.15,"display":"293.15"},{"text":"_t2_kelvin = temperature_final_celsius + 273.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":353.15,"display":"353.15"},{"text":"@hero pressure_final = pressure_initial * (t2_kelvin / t1_kelvin) // kPa","label":null,"prefix":null,"suffix":"kPa","section":null,"hidden":false,"hero":true,"slider":null,"value":120.46733754050827,"display":"120.4673"}]},{"id":"gcd-greatest-common-divisor","title":"GCD (Greatest Common Divisor)","description":"Find the greatest common divisor of two integers.","category":"formulas","icon":"sigma","tags":["number-theory"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.128Z"},"rows":[{"text":"# Two integers","label":null,"prefix":null,"suffix":null,"section":"Two integers","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 48 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Two integers","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":48,"display":"48"},{"text":"b = 18 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Two integers","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":18,"display":"18"},{"text":"# GCD","label":null,"prefix":null,"suffix":null,"section":"GCD","hero":false,"slider":null,"value":null,"display":null},{"text":"result = gcd(a, b) // @label(GCD)","label":"GCD","prefix":null,"suffix":null,"section":"GCD","hidden":false,"hero":true,"slider":null,"value":6,"display":"6"}]},{"id":"gdpr-data-breach-fine-estimator","title":"GDPR Fine Estimator","description":"Estimate hypothetical GDPR fines based on company revenue.","category":"other","icon":"shield-alert","tags":["breach"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.128Z"},"rows":[{"text":"annualRevenue = 100000000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":100000000,"display":"100,000,000"},{"text":"severityFactor = 2 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"estimatedFine = annualRevenue * (severityFactor / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2000000,"display":"2,000,000"}]},{"id":"gear-ratio-speed-rpm","title":"Gear Ratio Speed RPM","description":"Calculate vehicle speed from RPM and gear ratios.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.128Z"},"rows":[{"text":"# Transmission Stats","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"engine rpm = 3000","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":3000,"display":"3,000"},{"text":"gear ratio = 1.5","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":1.5,"display":"1.5"},{"text":"final drive ratio = 3.73","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":3.73,"display":"3.73"},{"text":"tire diameter inches = 26","label":null,"prefix":null,"suffix":null,"section":"Transmission Stats","hidden":false,"hero":false,"slider":null,"value":26,"display":"26"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_total_gear_reduction = gear ratio * final drive 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63360","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":41.47443384583162,"display":"41.4744"}]},{"id":"gear-ratio","title":"Gear Ratio","description":"Compute gear ratios, output speed, torque multiplication, and power transfer.","category":"engineering","icon":"cog","tags":["mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.128Z"},"rows":[{"text":"# Gear Setup","label":null,"prefix":null,"suffix":null,"section":"Gear Setup","hero":false,"slider":null,"value":null,"display":null},{"text":"driving gear teeth = 20 // 8..100","label":null,"prefix":null,"suffix":null,"section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":8,"max":100,"step":1},"value":20,"display":"20"},{"text":"driven gear teeth = 60 // 8..200","label":null,"prefix":null,"suffix":null,"section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":8,"max":200,"step":1},"value":60,"display":"60"},{"text":"input speed = 1800 // RPM 100..10k","label":null,"prefix":null,"suffix":"RPM","section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":100,"max":10000,"step":100},"value":1800,"display":"1,800"},{"text":"input torque = 50 // Nm 1..500","label":null,"prefix":null,"suffix":"Nm","section":"Gear Setup","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":50,"display":"50"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"gear ratio = driven_gear_teeth / driving_gear_teeth // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":3,"display":"3"},{"text":"output speed = input_speed / gear_ratio // RPM","label":null,"prefix":null,"suffix":"RPM","section":"Results","hidden":false,"hero":false,"slider":null,"value":600,"display":"600"},{"text":"mechanical advantage = gear_ratio","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"# Power","label":null,"prefix":null,"suffix":null,"section":"Power","hero":false,"slider":null,"value":null,"display":null},{"text":"efficiency = 95 // % 50..100","label":null,"prefix":null,"suffix":"%","section":"Power","hidden":false,"hero":false,"slider":{"min":50,"max":100,"step":1},"value":95,"display":"95"},{"text":"output torque = input_torque * gear_ratio * efficiency / 100 // Nm","label":null,"prefix":null,"suffix":"Nm","section":"Power","hidden":false,"hero":false,"slider":null,"value":142.5,"display":"142.5"},{"text":"input power = input_torque * input_speed * 2 * PI / 60 // 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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":"2026-05-19T03:36:31.128Z"},"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":"2026-05-19T03:36:31.129Z"},"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":"2026-05-19T03:36:31.129Z"},"rows":[{"text":"resources_available_percent = 80 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"time_allocated_percent = 70 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"complexity_penalty_percent = 30 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero success_probability = (resources_available_percent * 0.4 + time_allocated_percent * 0.4 - complexity_penalty_percent * 0.2) // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":54,"display":"54"}]},{"id":"goat-milk-yield-estimate","title":"Goat Milk Yield Estimate","description":"Estimate total goat milk yield in gallons over a lactation period.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.129Z"},"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":"2026-05-19T03:36:31.129Z"},"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":"2026-05-19T03:36:31.129Z"},"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 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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":"2026-05-19T03:36:31.129Z"},"rows":[{"text":"# The Number","label":null,"prefix":null,"suffix":null,"section":"The 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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":"2026-05-19T03:36:31.129Z"},"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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Data","hidden":false,"hero":false,"slider":null,"value":85,"display":"85"},{"text":"course rating = 71.2","label":null,"prefix":null,"suffix":null,"section":"Round Data","hidden":false,"hero":false,"slider":null,"value":71.2,"display":"71.2"},{"text":"course slope = 113","label":null,"prefix":null,"suffix":null,"section":"Round Data","hidden":false,"hero":false,"slider":null,"value":113,"display":"113"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"score differential = (your score - course rating) * (113 / course slope)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":13.8,"display":"13.8"},{"text":"# Note: Real handicap uses average of best 8 of 20 differentials","label":null,"prefix":null,"suffix":null,"section":"Note: Real handicap uses average of best 8 of 20 differentials","hero":false,"slider":null,"value":null,"display":null}]},{"id":"gpa-calculator","title":"GPA Calculator","description":"Calculate your GPA from individual course grades and credits.","category":"education","icon":"graduation-cap","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.129Z"},"rows":[{"text":"# Course 1","label":null,"prefix":null,"suffix":null,"section":"Course 1","hero":false,"slider":null,"value":null,"display":null},{"text":"course1_credits = 3 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 1","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":3,"display":"3"},{"text":"course1_grade = 3.7 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 1","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":3.7,"display":"3.7"},{"text":"# Course 2","label":null,"prefix":null,"suffix":null,"section":"Course 2","hero":false,"slider":null,"value":null,"display":null},{"text":"course2_credits = 4 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 2","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":4,"display":"4"},{"text":"course2_grade = 3.3 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 2","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":3.3,"display":"3.3"},{"text":"# Course 3","label":null,"prefix":null,"suffix":null,"section":"Course 3","hero":false,"slider":null,"value":null,"display":null},{"text":"course3_credits = 3 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 3","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":3,"display":"3"},{"text":"course3_grade = 4.0 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 3","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":4,"display":"4"},{"text":"# Course 4","label":null,"prefix":null,"suffix":null,"section":"Course 4","hero":false,"slider":null,"value":null,"display":null},{"text":"course4_credits = 3 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Course 4","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":3,"display":"3"},{"text":"course4_grade = 2.7 // 0..4 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Course 4","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.1},"value":2.7,"display":"2.7"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"total_credits = course1_credits + course2_credits + course3_credits + course4_credits","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":13,"display":"13"},{"text":"total_grade_points = course1_credits * course1_grade + course2_credits * course2_grade + course3_credits * course3_grade + course4_credits * course4_grade","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":44.4,"display":"44.4"},{"text":"gpa = round(total_grade_points / total_credits * 100) / 100","label":null,"prefix":null,"suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":3.42,"display":"3.42"}]},{"id":"grade-calculator","title":"Grade Calculator","description":"Find what score you need on the final to hit your target grade.","category":"education","icon":"target","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.129Z"},"rows":[{"text":"# Current Standing","label":null,"prefix":null,"suffix":null,"section":"Current Standing","hero":false,"slider":null,"value":null,"display":null},{"text":"current_grade = 85 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Current 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100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":59.5,"display":"59.5"},{"text":"needed_from_final = target_grade - coursework_contribution","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":30.5,"display":"30.5"},{"text":"needed_final_score = round(needed_from_final / (final_weight / 100) * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":101.7,"display":"101.7"}]},{"id":"grass-seed-coverage","title":"Grass Seed Coverage","description":"Calculate weight of grass seed needed for your lawn area.","category":"everyday","icon":"sprout","tags":["garden","seed"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.129Z"},"rows":[{"text":"area_square_meters = 250 // square meters","label":null,"prefix":null,"suffix":"square meters","section":null,"hidden":false,"hero":false,"slider":null,"value":250,"display":"250"},{"text":"seed_rate_grams_per_square_meter = 35 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"@hero total_seed_needed_kg = (area_square_meters * seed_rate_grams_per_square_meter) / 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":8.75,"display":"8.75"}]},{"id":"gravel-weight-calculator","title":"Gravel Weight Calculator","description":"Calculate gravel weight in tons and truck loads from cubic yards.","category":"health","icon":"activity","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.129Z"},"rows":[{"text":"# Gravel Volume","label":null,"prefix":null,"suffix":null,"section":"Gravel Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"volume cubic yards = 5 // 0.5..100 by 0.5","label":null,"prefix":null,"suffix":null,"section":"Gravel Volume","hidden":false,"hero":false,"slider":{"min":0.5,"max":100,"step":0.5},"value":5,"display":"5"},{"text":"# Weight Calculations","label":null,"prefix":null,"suffix":null,"section":"Weight Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"# Average density is approx 2800 lbs per cubic yard","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hero":false,"slider":null,"value":null,"display":null},{"text":"pounds per cubic yard = 2800 // 2.4k..3.2k","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hidden":false,"hero":false,"slider":{"min":2400,"max":3200,"step":1},"value":2800,"display":"2,800"},{"text":"_total_weight_pounds = volume cubic yards * pounds per cubic yard","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hidden":true,"hero":false,"slider":null,"value":14000,"display":"14,000"},{"text":"total weight tons = round(total_weight_pounds / 2000, 2) // @hero","label":null,"prefix":null,"suffix":null,"section":"Average density is approx 2800 lbs per cubic yard","hidden":false,"hero":true,"slider":null,"value":7,"display":"7"},{"text":"# Delivery","label":null,"prefix":null,"suffix":null,"section":"Delivery","hero":false,"slider":null,"value":null,"display":null},{"text":"# Typical small dump truck capacity is 5 tons","label":null,"prefix":null,"suffix":null,"section":"Typical small dump truck capacity is 5 tons","hero":false,"slider":null,"value":null,"display":null},{"text":"truck loads = roundup(total weight tons / 5)","label":null,"prefix":null,"suffix":null,"section":"Typical small dump truck capacity is 5 tons","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"}]},{"id":"gravitational-potential-energy-orbital","title":"Gravitational Potential Energy Orbital","description":"Calculate gravitational potential energy of an object in orbit.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.130Z"},"rows":[{"text":"mass_object = 100 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"mass_planet = 5.972e24 // kg (Earth)","label":null,"prefix":null,"suffix":"kg (Earth)","section":null,"hidden":false,"hero":false,"slider":null,"value":5.972e+24,"display":"5.972e24"},{"text":"radius_orbit = 6771000 // meters (LEO)","label":null,"prefix":null,"suffix":"meters (LEO)","section":null,"hidden":false,"hero":false,"slider":null,"value":6771000,"display":"6,771,000"},{"text":"_G = 6.674e-11","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"@hero potential_energy = -G * mass_planet * mass_object / radius_orbit // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":-5886446315.167628,"display":"-5,886,446,315.1676"}]},{"id":"great-circle-distance-advanced","title":"Great Circle Distance Advanced","description":"Calculate great-circle distance between two coordinates using the haversine formula.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.130Z"},"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":"2026-05-19T03:36:31.130Z"},"rows":[{"text":"lat1 = 40.7128","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":40.7128,"display":"40.7128"},{"text":"lon1 = -74.0060","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-74.006,"display":"-74.006"},{"text":"lat2 = 34.0522","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":34.0522,"display":"34.0522"},{"text":"lon2 = -118.2437","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-118.2437,"display":"-118.2437"},{"text":"r = 6371","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371,"display":"6,371"},{"text":"dlat = (lat2 - lat1) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.1162494001583343,"display":"-0.1162"},{"text":"dlon = (lon2 - lon1) * pi / 180","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":-0.7720935185094956,"display":"-0.7721"},{"text":"a = sin(dlat / 2)**2 + cos(lat1 * pi / 180) * cos(lat2 * pi / 180) * sin(dlon / 2)**2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0000464202974291111,"display":"0.00004642"},{"text":"c = 2 * atan2(a**0.5, (1 - a)**0.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.7807463229670337,"display":"0.7807"},{"text":"distance = r * c","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4974.134823622971,"display":"4,974.1348"}]},{"id":"greenhouse-ventilation-requirement","title":"Greenhouse Ventilation","description":"Calculate required airflow for greenhouse cooling.","category":"engineering","icon":"fan","tags":["engineering","garden"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.130Z"},"rows":[{"text":"greenhouse_volume_cubic_meters = 100 // m3","label":null,"prefix":null,"suffix":"m3","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"target_air_changes_per_hour = 60 // 1 per minute during summer","label":null,"prefix":null,"suffix":"1 per minute during summer","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"@hero required_airflow_cubic_meters_per_minute = greenhouse_volume_cubic_meters * target_air_changes_per_hour / 60 // m3/min","label":null,"prefix":null,"suffix":"m3/min","section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"greywater-recycling-potential","title":"Greywater Recycling Potential","description":"Calculate how much greywater you can reuse daily.","category":"everyday","icon":"droplet","tags":["eco","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.130Z"},"rows":[{"text":"daily_shower_liters = 60 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"daily_laundry_liters = 20 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"recyclable_fraction = 70 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"@hero daily_greywater_available_liters = (daily_shower_liters + daily_laundry_liters) * (recyclable_fraction / 100) // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":56,"display":"56"}]},{"id":"grid-calculator","title":"Grid Calculator","description":"Calculate CSS grid column widths from container and gap.","category":"design","icon":"grid","tags":["layout"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.130Z"},"rows":[{"text":"# Container","label":null,"prefix":null,"suffix":null,"section":"Container","hero":false,"slider":null,"value":null,"display":null},{"text":"container width = 1200 // px 320..2560 by 10","label":null,"prefix":null,"suffix":"px","section":"Container","hidden":false,"hero":false,"slider":{"min":320,"max":2560,"step":10},"value":1200,"display":"1,200"},{"text":"columns = 12 // 1..24","label":null,"prefix":null,"suffix":null,"section":"Container","hidden":false,"hero":false,"slider":{"min":1,"max":24,"step":1},"value":12,"display":"12"},{"text":"gap = 24 // px 0..80 by 2","label":null,"prefix":null,"suffix":"px","section":"Container","hidden":false,"hero":false,"slider":{"min":0,"max":80,"step":2},"value":24,"display":"24"},{"text":"# Grid Calculations","label":null,"prefix":null,"suffix":null,"section":"Grid Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"total gap space = gap * (columns - 1) // px","label":null,"prefix":null,"suffix":"px","section":"Grid Calculations","hidden":false,"hero":false,"slider":null,"value":264,"display":"264"},{"text":"column width = round((container width - total gap space) / columns * 100) / 100 // px @hero","label":null,"prefix":null,"suffix":"px","section":"Grid Calculations","hidden":false,"hero":true,"slider":null,"value":78,"display":"78"},{"text":"# Span Widths","label":null,"prefix":null,"suffix":null,"section":"Span Widths","hero":false,"slider":null,"value":null,"display":null},{"text":"span 2 = round((column width * 2 + gap * 1) * 100) / 100 // px @label(2-column span)","label":"2-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"span 3 = round((column width * 3 + gap * 2) * 100) / 100 // px @label(3-column span)","label":"3-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":282,"display":"282"},{"text":"span 4 = round((column width * 4 + gap * 3) * 100) / 100 // px @label(4-column span)","label":"4-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":384,"display":"384"},{"text":"span 6 = round((column width * 6 + gap * 5) * 100) / 100 // px @label(6-column span)","label":"6-column span","prefix":null,"suffix":"px","section":"Span Widths","hidden":false,"hero":false,"slider":null,"value":588,"display":"588"},{"text":"# Percentages","label":null,"prefix":null,"suffix":null,"section":"Percentages","hero":false,"slider":null,"value":null,"display":null},{"text":"col width pct = round((column width / container width) * 100 * 100) / 100 // % @label(Column width %)","label":"Column width %","prefix":null,"suffix":"%","section":"Percentages","hidden":false,"hero":false,"slider":null,"value":6.5,"display":"6.5"},{"text":"gap pct = round((total gap space / container width) * 100 * 100) / 100 // % @label(Total gap %)","label":"Total gap %","prefix":null,"suffix":"%","section":"Percentages","hidden":false,"hero":false,"slider":null,"value":22,"display":"22"}]},{"id":"grit-score-estimator","title":"Grit Score Estimator","description":"Estimate a grit score from perseverance and passion ratings.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.130Z"},"rows":[{"text":"perseverance_score = 4.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"passion_score = 4.0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"grit_score = (perseverance_score + passion_score) / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.25,"display":"4.25"}]},{"id":"gross-rent-multiplier","title":"Gross Rent Multiplier","description":"Quick valuation tool for comparing rental properties in an area.","category":"real-estate","icon":"ratio","tags":["rent"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.130Z"},"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":"2026-05-19T03:36:31.130Z"},"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 * 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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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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":"2026-05-19T03:36:31.131Z"},"rows":[{"text":"# Hash Parameters","label":null,"prefix":null,"suffix":null,"section":"Hash 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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":"2026-05-19T03:36:31.131Z"},"rows":[{"text":"# Your Info","label":null,"prefix":null,"suffix":null,"section":"Your Info","hero":false,"slider":null,"value":null,"display":null},{"text":"age = 30 // years 15..85","label":null,"prefix":null,"suffix":"years","section":"Your Info","hidden":false,"hero":false,"slider":{"min":15,"max":85,"step":1},"value":30,"display":"30"},{"text":"resting heart rate = 65 // bpm 40..100","label":null,"prefix":null,"suffix":"bpm","section":"Your Info","hidden":false,"hero":false,"slider":{"min":40,"max":100,"step":1},"value":65,"display":"65"},{"text":"# Max Heart Rate","label":null,"prefix":null,"suffix":null,"section":"Max Heart Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"estimated max heart rate = 220 - age // bpm @hero","label":null,"prefix":null,"suffix":"bpm","section":"Max Heart Rate","hidden":false,"hero":true,"slider":null,"value":190,"display":"190"},{"text":"heart rate reserve = estimated_max_heart_rate - resting_heart_rate // bpm","label":null,"prefix":null,"suffix":"bpm","section":"Max Heart Rate","hidden":false,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"# Training Zones (Karvonen Method)","label":null,"prefix":null,"suffix":null,"section":"Training Zones (Karvonen Method)","hero":false,"slider":null,"value":null,"display":null},{"text":"zone 1 recovery low = resting_heart_rate + heart_rate_reserve * 0.50 // bpm @label(Zone 1: Recovery (50%))","label":"Zone 1: Recovery (50%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":127.5,"display":"127.5"},{"text":"zone 1 recovery high = resting_heart_rate + heart_rate_reserve * 0.60 // bpm @label(Zone 1: Recovery (60%))","label":"Zone 1: Recovery (60%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":140,"display":"140"},{"text":"zone 2 aerobic low = resting_heart_rate + heart_rate_reserve * 0.60 // bpm @label(Zone 2: Aerobic (60%))","label":"Zone 2: Aerobic (60%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":140,"display":"140"},{"text":"zone 2 aerobic high = resting_heart_rate + heart_rate_reserve * 0.70 // bpm @label(Zone 2: Aerobic (70%))","label":"Zone 2: Aerobic (70%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":152.5,"display":"152.5"},{"text":"zone 3 tempo low = resting_heart_rate + heart_rate_reserve * 0.70 // bpm @label(Zone 3: Tempo (70%))","label":"Zone 3: Tempo (70%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":152.5,"display":"152.5"},{"text":"zone 3 tempo high = resting_heart_rate + heart_rate_reserve * 0.80 // bpm @label(Zone 3: Tempo (80%))","label":"Zone 3: Tempo (80%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":165,"display":"165"},{"text":"zone 4 threshold low = resting_heart_rate + heart_rate_reserve * 0.80 // bpm @label(Zone 4: Threshold (80%))","label":"Zone 4: Threshold (80%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":165,"display":"165"},{"text":"zone 4 threshold high = resting_heart_rate + heart_rate_reserve * 0.90 // bpm @label(Zone 4: Threshold (90%))","label":"Zone 4: Threshold (90%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":177.5,"display":"177.5"},{"text":"zone 5 max low = resting_heart_rate + heart_rate_reserve * 0.90 // bpm @label(Zone 5: Max (90%))","label":"Zone 5: Max (90%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":177.5,"display":"177.5"},{"text":"zone 5 max high = estimated_max_heart_rate // bpm @label(Zone 5: Max (100%))","label":"Zone 5: Max (100%)","prefix":null,"suffix":"bpm","section":"Training Zones (Karvonen Method)","hidden":false,"hero":false,"slider":null,"value":190,"display":"190"}]},{"id":"heart-rate","title":"Heart Beats","description":"Beats per day, year, and lifetime from a resting heart rate.","category":"health","icon":"heart","tags":["biology","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.131Z"},"rows":[{"text":"# Heart Rate","label":null,"prefix":null,"suffix":null,"section":"Heart Rate","hero":false,"slider":null,"value":null,"display":null},{"text":"resting bpm = 70 // bpm 30..150","label":null,"prefix":null,"suffix":"bpm","section":"Heart Rate","hidden":false,"hero":false,"slider":{"min":30,"max":150,"step":1},"value":70,"display":"70"},{"text":"age years = 35 // years 0..120","label":null,"prefix":null,"suffix":"years","section":"Heart Rate","hidden":false,"hero":false,"slider":{"min":0,"max":120,"step":1},"value":35,"display":"35"},{"text":"# Daily","label":null,"prefix":null,"suffix":null,"section":"Daily","hero":false,"slider":null,"value":null,"display":null},{"text":"beats per hour = resting bpm * 60","label":null,"prefix":null,"suffix":null,"section":"Daily","hidden":false,"hero":false,"slider":null,"value":4200,"display":"4,200"},{"text":"beats per day = resting bpm * 60 * 24 // @hero","label":null,"prefix":null,"suffix":null,"section":"Daily","hidden":false,"hero":true,"slider":null,"value":100800,"display":"100,800"},{"text":"# Longer","label":null,"prefix":null,"suffix":null,"section":"Longer","hero":false,"slider":null,"value":null,"display":null},{"text":"beats per year = beats per day * 365","label":null,"prefix":null,"suffix":null,"section":"Longer","hidden":false,"hero":false,"slider":null,"value":36792000,"display":"36,792,000"},{"text":"lifetime years = 80 // years 1..120","label":null,"prefix":null,"suffix":"years","section":"Longer","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":80,"display":"80"},{"text":"lifetime beats = beats per year * lifetime years","label":null,"prefix":null,"suffix":null,"section":"Longer","hidden":false,"hero":false,"slider":null,"value":2943360000,"display":"2,943,360,000"},{"text":"# Beats So Far","label":null,"prefix":null,"suffix":null,"section":"Beats So Far","hero":false,"slider":null,"value":null,"display":null},{"text":"beats so far = round(beats per year * age years) // @label(Beats so far in your life)","label":"Beats so far in your life","prefix":null,"suffix":null,"section":"Beats So Far","hidden":false,"hero":false,"slider":null,"value":1287720000,"display":"1,287,720,000"}]},{"id":"heat-exchanger-log-mean-temp-difference","title":"Heat Exchanger LMTD","description":"Calculate Log Mean Temperature Difference.","category":"engineering","icon":"thermometer","tags":["engineering","fluids"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.131Z"},"rows":[{"text":"hot_inlet_temp_celsius = 80 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"hot_outlet_temp_celsius = 40 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"cold_inlet_temp_celsius = 20 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"cold_outlet_temp_celsius = 35 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":35,"display":"35"},{"text":"delta_t1 = hot_inlet_temp_celsius - cold_outlet_temp_celsius","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"delta_t2 = hot_outlet_temp_celsius - cold_inlet_temp_celsius","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero lmtd_celsius = (delta_t1 - delta_t2) / log(delta_t1 / delta_t2) // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":true,"slider":null,"value":70.98591984084466,"display":"70.9859"}]},{"id":"heat-index","title":"Heat Index","description":"Apparent temperature from heat and humidity (NOAA Rothfusz formula).","category":"everyday","icon":"thermometer","tags":["temperature","humidity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.131Z"},"rows":[{"text":"# Conditions","label":null,"prefix":null,"suffix":null,"section":"Conditions","hero":false,"slider":null,"value":null,"display":null},{"text":"temperature f = 90 // °F 70..120","label":null,"prefix":null,"suffix":"°F","section":"Conditions","hidden":false,"hero":false,"slider":{"min":70,"max":120,"step":1},"value":90,"display":"90"},{"text":"relative humidity = 80 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Conditions","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":80,"display":"80"},{"text":"# Rothfusz Heat Index (NOAA full formula, valid above 80°F)","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hero":false,"slider":null,"value":null,"display":null},{"text":"_t = temperature f","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hidden":true,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"_r = relative humidity","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hidden":true,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"_hi_raw = -42.379 + 2.04901523 * t + 10.14333127 * r - 0.22475541 * t * r - 0.00683783 * t^2 - 0.05481717 * r^2 + 0.00122874 * t^2 * r + 0.00085282 * t * r^2 - 0.00000199 * t^2 * r^2","label":null,"prefix":null,"suffix":null,"section":"Rothfusz Heat Index (NOAA full formula, valid above 80°F)","hidden":true,"hero":false,"slider":null,"value":113.3298493,"display":"113.3298"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"feels like f = round(hi_raw, 0) // °F @hero @label(Feels like) @suffix(°F)","label":"Feels like","prefix":null,"suffix":"°F","section":"Result","hidden":false,"hero":true,"slider":null,"value":113,"display":"113"},{"text":"feels like c = round((feels like f - 32) * 5 / 9, 1) // °C @label(Feels like) @suffix(°C)","label":"Feels like","prefix":null,"suffix":"°C","section":"Result","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"# Difference","label":null,"prefix":null,"suffix":null,"section":"Difference","hero":false,"slider":null,"value":null,"display":null},{"text":"extra degrees = round(feels like f - temperature f, 0) // °F @label(Heat index above real temp)","label":"Heat index above real temp","prefix":null,"suffix":"°F","section":"Difference","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"}]},{"id":"heat-sink-thermal-resistance","title":"Heat Sink Thermal Resistance","description":"Calculate required thermal resistance for cooling.","category":"engineering","icon":"thermometer-snowflake","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.131Z"},"rows":[{"text":"power_dissipation_watts = 10 // Watts","label":null,"prefix":null,"suffix":"Watts","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"max_junction_temp_celsius = 125 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":125,"display":"125"},{"text":"ambient_temp_celsius = 25 // C","label":null,"prefix":null,"suffix":"C","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"total_thermal_resistance = (max_junction_temp_celsius - ambient_temp_celsius) / power_dissipation_watts // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"case_to_sink_resistance = 0.5 // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"junction_to_case_resistance = 1.2 // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"@hero required_sink_to_ambient_resistance = total_thermal_resistance - junction_to_case_resistance - case_to_sink_resistance // C/W","label":null,"prefix":null,"suffix":"C/W","section":null,"hidden":false,"hero":true,"slider":null,"value":8.3,"display":"8.3"}]},{"id":"heat-transfer","title":"Heat Transfer","description":"Calculate heat flow through walls using Fourier's Law with R-value and energy costs.","category":"engineering","icon":"thermometer","tags":["heat","insulation"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.131Z"},"rows":[{"text":"# Surface Properties","label":null,"prefix":null,"suffix":null,"section":"Surface Properties","hero":false,"slider":null,"value":null,"display":null},{"text":"surface area = 10 // m² 1..100","label":null,"prefix":null,"suffix":"m²","section":"Surface Properties","hidden":false,"hero":false,"slider":{"min":1,"max":100,"step":1},"value":10,"display":"10"},{"text":"wall thickness = 0.05 // m 0.01..0.5 by 0.01","label":null,"prefix":null,"suffix":"m","section":"Surface Properties","hidden":false,"hero":false,"slider":{"min":0.01,"max":0.5,"step":0.01},"value":0.05,"display":"0.05"},{"text":"thermal conductivity = 0.04 // W/m·K 0.01..2 by 0.01","label":null,"prefix":null,"suffix":"W/m·K","section":"Surface Properties","hidden":false,"hero":false,"slider":{"min":0.01,"max":2,"step":0.01},"value":0.04,"display":"0.04"},{"text":"# Temperatures","label":null,"prefix":null,"suffix":null,"section":"Temperatures","hero":false,"slider":null,"value":null,"display":null},{"text":"hot side temperature = 25 // °C -20..60","label":null,"prefix":null,"suffix":"°C","section":"Temperatures","hidden":false,"hero":false,"slider":{"min":-20,"max":60,"step":1},"value":25,"display":"25"},{"text":"cold side temperature = -5 // °C -40..40","label":null,"prefix":null,"suffix":"°C","section":"Temperatures","hidden":false,"hero":false,"slider":{"min":-40,"max":40,"step":1},"value":-5,"display":"-5"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"temperature difference = hot_side_temperature - cold_side_temperature // °C","label":null,"prefix":null,"suffix":"°C","section":"Results","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"heat transfer rate = thermal_conductivity * surface_area * temperature_difference / wall_thickness // W @hero @label(Heat Transfer Rate (Fourier's Law))","label":"Heat Transfer Rate (Fourier's Law)","prefix":null,"suffix":"W","section":"Results","hidden":false,"hero":true,"slider":null,"value":240,"display":"240"},{"text":"R value = wall_thickness / thermal_conductivity // m²·K/W @label(R-Value (Thermal Resistance))","label":"R-Value (Thermal 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Info","hero":false,"slider":null,"value":null,"display":null},{"text":"length = 15 // feet","label":null,"prefix":null,"suffix":"feet","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"width = 12 // feet","label":null,"prefix":null,"suffix":"feet","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"insulation quality = 1.0 // 0.8 (great) to 1.5 (poor)","label":null,"prefix":null,"suffix":"0.8 (great) to 1.5 (poor)","section":"Room Info","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Wattage Calculations","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_area = length * width","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hidden":true,"hero":false,"slider":null,"value":180,"display":"180"},{"text":"_base_watts = area * 10","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hidden":true,"hero":false,"slider":null,"value":1800,"display":"1,800"},{"text":"total watts needed = roundup(base_watts * insulation quality) // @hero","label":null,"prefix":null,"suffix":null,"section":"Wattage Calculations","hidden":false,"hero":true,"slider":null,"value":1800,"display":"1,800"},{"text":"# BTU Conversion","label":null,"prefix":null,"suffix":null,"section":"BTU Conversion","hero":false,"slider":null,"value":null,"display":null},{"text":"# 1 Watt = 3.41 BTU/hr","label":null,"prefix":null,"suffix":null,"section":"1 Watt = 3.41 BTU/hr","hero":false,"slider":null,"value":null,"display":null},{"text":"total btu per hour = round(total watts needed * 3.41)","label":null,"prefix":null,"suffix":null,"section":"1 Watt = 3.41 BTU/hr","hidden":false,"hero":false,"slider":null,"value":6138,"display":"6,138"}]},{"id":"heloc-interest-calculator","title":"HELOC Interest","description":"Estimate monthly 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Only: 1, Principal and Interest: 2})","label":null,"prefix":null,"suffix":null,"section":"HELOC Terms","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_monthly_interest_payment = heloc balance * (interest rate / 100 / 12)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":354.16666666666663,"display":"$354.17"},{"text":"$_monthly_principal_and_interest = heloc balance * (interest rate/1200 * (1+interest rate/1200)^240) / ((1+interest rate/1200)^240 - 1) // assumes 20yr","label":null,"prefix":"$","suffix":"assumes 20yr","section":"Calculations","hidden":true,"hero":false,"slider":null,"value":433.91161668276703,"display":"$433.91"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated monthly payment = if(payment type == 1, monthly_interest_payment, monthly_principal_and_interest) // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":354.16666666666663,"display":"$354.17"},{"text":"$annual cost = estimated monthly payment * 12 + annual fee","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":4300,"display":"$4,300.00"},{"text":"effective daily interest = (interest rate / 365) // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":0.023287671232876714,"display":"0.0233"}]},{"id":"hero-ascension-material-cost","title":"Hero Ascension Material Cost","description":"Calculate total materials needed for hero 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Input","label":null,"prefix":null,"suffix":null,"section":"Input","hero":false,"slider":null,"value":null,"display":null},{"text":"decimal number = 255 // 0..65535","label":null,"prefix":null,"suffix":null,"section":"Input","hidden":false,"hero":false,"slider":{"min":0,"max":65535,"step":1000},"value":255,"display":"255"},{"text":"# Conversions","label":null,"prefix":null,"suffix":null,"section":"Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"hexadecimal = decimal_number as hex // @hero","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":true,"slider":null,"value":255,"display":"0x00ff"},{"text":"binary = decimal_number as bin","label":null,"prefix":null,"suffix":null,"section":"Conversions","hidden":false,"hero":false,"slider":null,"value":255,"display":"0b11111111"},{"text":"# Reverse: Hex Input","label":null,"prefix":null,"suffix":null,"section":"Reverse: Hex 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amount","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":150000,"display":"$150,000.00"},{"text":"new total loan to value = (current mortgage balance + requested loan amount) / estimated home value * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":70,"display":"70"},{"text":"status = if(requested loan amount <= max_equity_loan_available, \"Approved\", \"Exceeds LTV limit\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Approved","display":"Approved"}]},{"id":"home-inspection-cost-estimate","title":"Home Inspection Cost","description":"Estimate the cost of a professional home inspection by size.","category":"real-estate","icon":"search","tags":["home"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.132Z"},"rows":[{"text":"squareFootage = 2000 // square feet","label":null,"prefix":null,"suffix":"square feet","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"baseFee = 300 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"feePerSquareFoot = 0.05 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"estimatedInspectionCost = baseFee + (squareFootage * feePerSquareFoot)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":400,"display":"400"}]},{"id":"home-insulation-roi","title":"Home Insulation ROI","description":"Calculate savings and break-even point for home 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dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"}]},{"id":"homebrew-og-fg-abv","title":"Homebrew Og Fg Abv","description":"Calculate beer ABV, attenuation, and calories from original and final gravity.","category":"everyday","icon":"home","tags":["abv","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.132Z"},"rows":[{"text":"# Brewing Stats","label":null,"prefix":null,"suffix":null,"section":"Brewing Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"original gravity = 1.050 // 1..1.12","label":null,"prefix":null,"suffix":null,"section":"Brewing Stats","hidden":false,"hero":false,"slider":{"min":1,"max":1.12,"step":0.002},"value":1.05,"display":"1.05"},{"text":"final gravity = 1.010 // 1..1.04","label":null,"prefix":null,"suffix":null,"section":"Brewing Stats","hidden":false,"hero":false,"slider":{"min":1,"max":1.04,"step":0.0005},"value":1.01,"display":"1.01"},{"text":"# ABV Formula","label":null,"prefix":null,"suffix":null,"section":"ABV Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"abv = (original gravity - final gravity) * 131.25","label":null,"prefix":null,"suffix":null,"section":"ABV Formula","hidden":false,"hero":false,"slider":null,"value":5.25,"display":"5.25"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"alcohol by volume = abv // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":5.25,"display":"5.25"},{"text":"# Details","label":null,"prefix":null,"suffix":null,"section":"Details","hero":false,"slider":null,"value":null,"display":null},{"text":"apparent attenuation = (original gravity - final gravity) / (original gravity - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Details","hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"calories per twelve oz = (6.9 * abv) + 355 * (original gravity - 1) * (0.1808 * original gravity + 0.8192) // kcal","label":null,"prefix":null,"suffix":"kcal","section":"Details","hidden":false,"hero":false,"slider":null,"value":54.13546,"display":"54.1355"},{"text":"total calories = round(calories per twelve oz)","label":null,"prefix":null,"suffix":null,"section":"Details","hidden":false,"hero":false,"slider":null,"value":54,"display":"54"}]},{"id":"honey-bee-colony-growth","title":"Honey Bee Colony Growth","description":"Estimate honey bee colony growth from queen laying rate and worker lifespan.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.132Z"},"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":"2026-05-19T03:36:31.132Z"},"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":"2026-05-19T03:36:31.132Z"},"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":"2026-05-19T03:36:31.132Z"},"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) + 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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":"2026-05-19T03:36:31.132Z"},"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 // 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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":"2026-05-19T03:36:31.133Z"},"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":"2026-05-19T03:36:31.133Z"},"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":"2026-05-19T03:36:31.133Z"},"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":"2026-05-19T03:36:31.133Z"},"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":"2026-05-19T03:36:31.133Z"},"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":"2026-05-19T03:36:31.133Z"},"rows":[{"text":"items_processed_per_hour = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"cognitive_limit_per_hour = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"@hero capacity_utilization_percent = (items_processed_per_hour / cognitive_limit_per_hour) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"information-ratio-investment","title":"Information Ratio Investment","description":"Calculate the information ratio for a portfolio from excess return and tracking error.","category":"math","icon":"ratio","tags":["investment","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.133Z"},"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":"2026-05-19T03:36:31.134Z"},"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":"2026-05-19T03:36:31.134Z"},"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":"2026-05-19T03:36:31.134Z"},"rows":[{"text":"# Function: f(x) = a · x^n","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 3 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":3,"display":"3"},{"text":"n = 4 // -10..10","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-10,"max":10,"step":1},"value":4,"display":"4"},{"text":"x = 2 // -100..100","label":null,"prefix":null,"suffix":null,"section":"Function: f(x) = a · x^n","hidden":false,"hero":false,"slider":{"min":-100,"max":100,"step":1},"value":2,"display":"2"},{"text":"# 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":"2026-05-19T03:36:31.134Z"},"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 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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":"2026-05-19T03:36:31.134Z"},"rows":[{"text":"# Investment Return (CAGR Proxy for IRR)","label":null,"prefix":null,"suffix":null,"section":"Investment Return (CAGR Proxy for IRR)","hero":false,"slider":null,"value":null,"display":null},{"text":"$initial investment = 10000 // 100..1M","label":null,"prefix":"$","suffix":null,"section":"Investment Return (CAGR Proxy for IRR)","hidden":false,"hero":false,"slider":{"min":100,"max":1000000,"step":10000},"value":10000,"display":"$10,000.00"},{"text":"$final value = 15000 // 100..2M","label":null,"prefix":"$","suffix":null,"section":"Investment Return (CAGR Proxy for IRR)","hidden":false,"hero":false,"slider":{"min":100,"max":2000000,"step":20000},"value":15000,"display":"$15,000.00"},{"text":"years held = 3 // years 1..30","label":null,"prefix":null,"suffix":"years","section":"Investment Return (CAGR Proxy for IRR)","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":3,"display":"3"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"internal rate of return = ((final value / initial investment)^(1 / years held) - 1) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":14.471424255333181,"display":"14.4714"},{"text":"$total profit = final value - initial investment","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":5000,"display":"$5,000.00"},{"text":"total return percentage = (final value / initial investment - 1) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"doubling time = 72 / internal rate of return // years (approx)","label":null,"prefix":null,"suffix":"years (approx)","section":"Result","hidden":false,"hero":false,"slider":null,"value":4.975322313107205,"display":"4.9753"}]},{"id":"intrinsic-motivation-ratio","title":"Intrinsic Motivation Ratio","description":"Calculate the intrinsic-to-total motivation ratio from internal and external rewards.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.134Z"},"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":"2026-05-19T03:36:31.134Z"},"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":"2026-05-19T03:36:31.134Z"},"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":"2026-05-19T03:36:31.134Z"},"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 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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":"2026-05-19T03:36:31.134Z"},"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":"2026-05-19T03:36:31.134Z"},"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 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75","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":75,"display":"75"},{"text":"bike_time_minutes = 360","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":360,"display":"360"},{"text":"run_time_minutes = 270","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":270,"display":"270"},{"text":"transition_time_minutes = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero total_finish_time_hours = (swim_time_minutes + bike_time_minutes + run_time_minutes + transition_time_minutes) / 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12.083333333333334,"display":"12.0833"}]},{"id":"irrigation-run-time","title":"Irrigation Run Time","description":"Calculate how many minutes to run 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liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":2500,"display":"2,500"},{"text":"@hero run_time_minutes = total_liters_needed / sprinkler_output_liters_per_minute // minutes","label":null,"prefix":null,"suffix":"minutes","section":null,"hidden":false,"hero":true,"slider":null,"value":250,"display":"250"}]},{"id":"item-enhancement-success-rate","title":"Item Enhancement Success Rate","description":"Calculate success rate for item enhancement levels.","category":"math","icon":"zap","tags":["gaming"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.135Z"},"rows":[{"text":"# Enhancement Settings","label":null,"prefix":null,"suffix":null,"section":"Enhancement Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current enhancement level = 7","label":null,"prefix":null,"suffix":null,"section":"Enhancement Settings","hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"base success rate percent = 100","label":null,"prefix":null,"suffix":null,"section":"Enhancement Settings","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"decay rate per level = 10 // %","label":null,"prefix":null,"suffix":"%","section":"Enhancement Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"final success rate percent = base success rate percent - (current enhancement level * decay rate per level)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"iv-drip-rate","title":"Iv Drip Rate","description":"Calculate IV drip rate in drops per minute from volume, time, and drop 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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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earth_weight_pounds * jupiter_gravity_ratio","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":379.2,"display":"379.2"}]},{"id":"kerning-spacing-pixel-multiplier","title":"Kerning Spacing Pixel Multiplier","description":"Calculate character kerning spacing in pixels from font size and multiplier.","category":"design","icon":"palette","tags":["pixel"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.135Z"},"rows":[{"text":"font_size = 24 // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"kerning_multiplier = 0.05 // relative to font size","label":null,"prefix":null,"suffix":"relative to font size","section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"@hero character_spacing_pixels = font_size * kerning_multiplier // pixels","label":null,"prefix":null,"suffix":"pixels","section":null,"hidden":false,"hero":true,"slider":null,"value":1.2,"display":"1.2"}]},{"id":"kinetic-energy-relativistic","title":"Kinetic Energy Relativistic","description":"Calculate relativistic kinetic energy of an object near the speed of light.","category":"education","icon":"book-open","tags":["relativistic"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.135Z"},"rows":[{"text":"mass = 1 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"velocity = 0.5 // fraction of light speed (c)","label":null,"prefix":null,"suffix":"fraction of light speed (c)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"_c = 299792458 // m/s","label":null,"prefix":null,"suffix":"m/s","section":null,"hidden":true,"hero":false,"slider":null,"value":299792458,"display":"299,792,458"},{"text":"_v = velocity * c","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":149896229,"display":"149,896,229"},{"text":"_gamma = 1 / sqrt(1 - (v/c)^2)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":1.1547005383792517,"display":"1.1547"},{"text":"@hero relativistic_kinetic_energy = (gamma - 1) * mass * c^2 // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":13903791002172618,"display":"13,903,791,002,172,618"}]},{"id":"kinetic-energy","title":"Kinetic Energy","description":"KE = ½ · m · v² — kinetic energy of a moving 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Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"kitchen-converter","title":"Kitchen Converter","description":"Convert between cups, tablespoons, milliliters, ounces, grams, and temperatures.","category":"cooking","icon":"chef-hat","tags":["temperature"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.135Z"},"rows":[{"text":"# Volume Conversions","label":null,"prefix":null,"suffix":null,"section":"Volume Conversions","hero":false,"slider":null,"value":null,"display":null},{"text":"cups = 2 // cups 0.25..20 by 0.25","label":null,"prefix":null,"suffix":"cups","section":"Volume Conversions","hidden":false,"hero":false,"slider":{"min":0.25,"max":20,"step":0.25},"value":2,"display":"2"},{"text":"tablespoons = cups * 16 // tbsp","label":null,"prefix":null,"suffix":"tbsp","section":"Volume 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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":"2026-05-19T03:36:31.136Z"},"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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Measurements","label":null,"prefix":null,"suffix":null,"section":"Measurements","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 100..400","label":null,"prefix":null,"suffix":"lbs","section":"Measurements","hidden":false,"hero":false,"slider":{"min":100,"max":400,"step":1},"value":180,"display":"180"},{"text":"height = 70 // inches 48..84","label":null,"prefix":null,"suffix":"inches","section":"Measurements","hidden":false,"hero":false,"slider":{"min":48,"max":84,"step":1},"value":70,"display":"70"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Measurements","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Boer Formula","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"height cm = height * 2.54","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":177.8,"display":"177.8"},{"text":"lean body mass male = 0.407 * weight kg + 0.267 * height cm - 19.2","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":61.50274992,"display":"61.5027"},{"text":"lean body mass female = 0.252 * weight kg + 0.473 * height cm - 48.3","label":null,"prefix":null,"suffix":null,"section":"Boer Formula","hidden":false,"hero":false,"slider":null,"value":56.37433312,"display":"56.3743"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"lean body mass kg = is male * lean body mass male + (1 - is male) * lean body mass 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Buyback","hidden":false,"hero":false,"slider":{"min":5000,"max":100000,"step":500},"value":22000,"display":"$22,000.00"},{"text":"$estimated market value = 26000 // 5k..120k by 500","label":null,"prefix":"$","suffix":null,"section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":5000,"max":120000,"step":500},"value":26000,"display":"$26,000.00"},{"text":"$purchase fees and taxes = 1800 // 0..10k","label":null,"prefix":"$","suffix":null,"section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":1800,"display":"$1,800.00"},{"text":"loan interest rate = 6.0 // % 0..15 by 0.1","label":null,"prefix":null,"suffix":"%","section":"Lease Buyback","hidden":false,"hero":false,"slider":{"min":0,"max":15,"step":0.1},"value":6,"display":"6"},{"text":"loan term = 48 // months 12..84","label":null,"prefix":null,"suffix":"months","section":"Lease 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1)","label":null,"prefix":"$","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":"2026-05-19T03:36:31.136Z"},"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 // 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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":"2026-05-19T03:36:31.136Z"},"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 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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":"2026-05-19T03:36:31.136Z"},"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 = 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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 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-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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.137Z"},"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":"2026-05-19T03:36:31.138Z"},"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":"2026-05-19T03:36:31.138Z"},"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":"2026-05-19T03:36:31.138Z"},"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":"2026-05-19T03:36:31.138Z"},"rows":[{"text":"# Loan and Value","label":null,"prefix":null,"suffix":null,"section":"Loan and Value","hero":false,"slider":null,"value":null,"display":null},{"text":"$loan amount = 320000 // 10k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Loan and Value","hidden":false,"hero":false,"slider":{"min":10000,"max":1000000,"step":5000},"value":320000,"display":"$320,000.00"},{"text":"$appraised property value = 400000 // 10k..1M by 5k","label":null,"prefix":"$","suffix":null,"section":"Loan and Value","hidden":false,"hero":false,"slider":{"min":10000,"max":1000000,"step":5000},"value":400000,"display":"$400,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"loan to value ratio = (loan amount / appraised property value) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":80,"display":"80"},{"text":"$equity in property = appraised property value - loan amount","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":80000,"display":"$80,000.00"},{"text":"status = if(loan to value ratio > 80, \"PMI likely required\", \"Standard loan\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Standard loan","display":"Standard loan"}]},{"id":"lumber-estimator","title":"Lumber Estimator","description":"Calculate board feet and lumber costs for your woodworking project.","category":"construction","icon":"hammer","tags":["woodworking"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.138Z"},"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":"2026-05-19T03:36:31.138Z"},"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":"2026-05-19T03:36:31.138Z"},"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":"2026-05-19T03:36:31.138Z"},"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":"2026-05-19T03:36:31.138Z"},"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 // % 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Compound Interest","label":null,"prefix":null,"suffix":null,"section":"Compound Interest","hero":false,"slider":null,"value":null,"display":null},{"text":"principal = 1000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":"Compound Interest","hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"annual_rate = 0.07","label":null,"prefix":null,"suffix":null,"section":"Compound Interest","hidden":false,"hero":false,"slider":null,"value":0.07,"display":"0.07"},{"text":"compounds_per_year = 12","label":null,"prefix":null,"suffix":null,"section":"Compound Interest","hidden":false,"hero":false,"slider":null,"value":12,"display":"12"},{"text":"years = 10","label":null,"prefix":null,"suffix":null,"section":"Compound Interest","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"final_amount = principal * (1 + annual_rate / compounds_per_year)^(compounds_per_year * 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@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":"2026-05-19T03:36:31.139Z"},"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 // 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-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":"2026-05-19T03:36:31.139Z"},"rows":[{"text":"smoke_time_hours = 6","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"smoker_type_offset = 1 // dropdown({Offset: 1, Pellet: 0.5, Electric: 0.2})","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"pounds_per_hour = 2 * smoker_type_offset","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero total_wood_pounds = smoke_time_hours * pounds_per_hour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":12,"display":"12"}]},{"id":"mechanical-torque-lever-arm","title":"Mechanical Torque Lever Arm","description":"Calculate mechanical torque from force, lever arm length, and angle.","category":"education","icon":"book-open","tags":["mechanical"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.139Z"},"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. 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-1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":1,"display":"1"},{"text":"x5 = 5 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Data points (any order)","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":5,"display":"5"},{"text":"# For n=5 the median is the 3rd-largest value: take max-of-every 3-element min.","label":null,"prefix":null,"suffix":null,"section":"For n=5 the median is the 3rd-largest value: take max-of-every 3-element min.","hero":false,"slider":null,"value":null,"display":null},{"text":"median = max(min(x1, x2, x3), min(x1, x2, x4), min(x1, x2, x5), min(x1, x3, x4), min(x1, x3, x5), min(x1, x4, x5), min(x2, x3, x4), min(x2, x3, x5), min(x2, x4, x5), min(x3, x4, x5))","label":null,"prefix":null,"suffix":null,"section":"For n=5 the median is the 3rd-largest value: take max-of-every 3-element min.","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"medication-dosage-by-weight","title":"Medication Dosage By Weight","description":"Calculate total medication dose in mg and ml from weight-based dosage rate.","category":"health","icon":"activity","tags":["dosage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.140Z"},"rows":[{"text":"# Prescription Info","label":null,"prefix":null,"suffix":null,"section":"Prescription Info","hero":false,"slider":null,"value":null,"display":null},{"text":"dosage per kg = 15 // mg/kg 0.1..500","label":null,"prefix":null,"suffix":"mg/kg","section":"Prescription Info","hidden":false,"hero":false,"slider":{"min":0.1,"max":500,"step":5},"value":15,"display":"15"},{"text":"patient weight = 165 // lbs 5..400","label":null,"prefix":null,"suffix":"lbs","section":"Prescription Info","hidden":false,"hero":false,"slider":{"min":5,"max":400,"step":1},"value":165,"display":"165"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = patient weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":74.84268,"display":"74.8427"},{"text":"total dosage = dosage per kg * weight kg // mg @hero","label":null,"prefix":null,"suffix":"mg","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":1122.6402,"display":"1,122.6402"},{"text":"# Liquid Form (Optional)","label":null,"prefix":null,"suffix":null,"section":"Liquid Form (Optional)","hero":false,"slider":null,"value":null,"display":null},{"text":"concentration = 100 // mg per 5ml","label":null,"prefix":null,"suffix":"mg per 5ml","section":"Liquid Form (Optional)","hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"volume needed = (total dosage / concentration) * 5 // ml","label":null,"prefix":null,"suffix":"ml","section":"Liquid Form (Optional)","hidden":false,"hero":false,"slider":null,"value":56.13201,"display":"56.132"},{"text":"total grams = total dosage / 1000","label":null,"prefix":null,"suffix":null,"section":"Liquid Form (Optional)","hidden":false,"hero":false,"slider":null,"value":1.1226402,"display":"1.1226"}]},{"id":"meeting-cost-person-hour-total","title":"Meeting Cost Person Hour Total","description":"Calculate the total dollar cost of a meeting from attendees, rate, and duration.","category":"productivity","icon":"clock","tags":["meeting"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.140Z"},"rows":[{"text":"number_of_attendees = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"average_hourly_rate = 75 // dollars per hour","label":null,"prefix":null,"suffix":"dollars per 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@prefix($)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1500,"display":"1,500"}]},{"id":"megapixels-to-print-dimensions","title":"Megapixels To Print Dimensions","description":"Calculate maximum print dimensions in inches from camera megapixels and DPI.","category":"design","icon":"palette","tags":["print"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.140Z"},"rows":[{"text":"megapixels = 24 // MP","label":null,"prefix":null,"suffix":"MP","section":null,"hidden":false,"hero":false,"slider":null,"value":24,"display":"24"},{"text":"aspect_ratio_width = 3","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"aspect_ratio_height = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"dpi = 300","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"_total_pixels = megapixels * 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":24000000,"display":"24,000,000"},{"text":"_pixel_width = sqrt(total_pixels * (aspect_ratio_width / aspect_ratio_height))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"_pixel_height = total_pixels / pixel_width","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"@hero print_width_inches = pixel_width / dpi // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"@hero print_height_inches = pixel_height / dpi // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":13.333333333333334,"display":"13.3333"}]},{"id":"memory-retention-forgetting-curve","title":"Memory Retention Forgetting Curve","description":"Calculate retention percentage after time elapsed using the forgetting curve.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.140Z"},"rows":[{"text":"time_days = 7","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"retention_base = 0.9","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.9,"display":"0.9"},{"text":"retention = retention_base * exp(-time_days / 10)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.44692677341226855,"display":"0.4469"}]},{"id":"mental-rotation-speed","title":"Mental Rotation Speed","description":"Calculate mental rotation speed in milliseconds per degree.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.140Z"},"rows":[{"text":"rotation_angle_degrees = 90","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"reaction_time_ms = 1500","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"ms_per_degree = reaction_time_ms / rotation_angle_degrees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16.666666666666668,"display":"16.6667"}]},{"id":"metabolic-heat","title":"Metabolic Heat","description":"Convert daily calorie burn to watts, then to room heating output.","category":"health","icon":"flame","tags":["calories","heat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.140Z"},"rows":[{"text":"# Person","label":null,"prefix":null,"suffix":null,"section":"Person","hero":false,"slider":null,"value":null,"display":null},{"text":"daily kcal = 2100 // kcal/day 800..6k by 50","label":null,"prefix":null,"suffix":"kcal/day","section":"Person","hidden":false,"hero":false,"slider":{"min":800,"max":6000,"step":50},"value":2100,"display":"2,100"},{"text":"activity factor = 1.0 // 1..5 by 0.1","label":null,"prefix":null,"suffix":null,"section":"Person","hidden":false,"hero":false,"slider":{"min":1,"max":5,"step":0.1},"value":1,"display":"1"},{"text":"# Conversion to Watts","label":null,"prefix":null,"suffix":null,"section":"Conversion to Watts","hero":false,"slider":null,"value":null,"display":null},{"text":"_joules_per_kcal = 4184","label":null,"prefix":null,"suffix":null,"section":"Conversion to Watts","hidden":true,"hero":false,"slider":null,"value":4184,"display":"4,184"},{"text":"_seconds_per_day = 86400","label":null,"prefix":null,"suffix":null,"section":"Conversion to Watts","hidden":true,"hero":false,"slider":null,"value":86400,"display":"86,400"},{"text":"watts at rest = round(daily kcal * joules_per_kcal / seconds_per_day, 1) // W @label(Heat output at rest)","label":"Heat output at rest","prefix":null,"suffix":"W","section":"Conversion to Watts","hidden":false,"hero":false,"slider":null,"value":101.7,"display":"101.7"},{"text":"watts active = round(watts at rest * activity factor, 1) // W @hero @label(Heat output now)","label":"Heat output now","prefix":null,"suffix":"W","section":"Conversion to Watts","hidden":false,"hero":true,"slider":null,"value":101.7,"display":"101.7"},{"text":"# Room Heating","label":null,"prefix":null,"suffix":null,"section":"Room Heating","hero":false,"slider":null,"value":null,"display":null},{"text":"people in room = 10 // 1..200","label":null,"prefix":null,"suffix":null,"section":"Room Heating","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":10,"display":"10"},{"text":"total watts = round(watts active * people in room, 0) // W @label(Total body heat in room)","label":"Total body heat in room","prefix":null,"suffix":"W","section":"Room Heating","hidden":false,"hero":false,"slider":null,"value":1017,"display":"1,017"},{"text":"btu per hour = round(total watts * 3.412, 0) // BTU/hr @label(Equivalent BTU/hr)","label":"Equivalent BTU/hr","prefix":null,"suffix":"BTU/hr","section":"Room 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kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":50,"display":"50"},{"text":"co2_equivalent_factor = 25 // methane is 25x stronger than CO2","label":null,"prefix":null,"suffix":"methane is 25x stronger than CO2","section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"total_co2_equivalent_kg = total_methane_emissions_kg * co2_equivalent_factor // kg CO2e","label":null,"prefix":null,"suffix":"kg CO2e","section":null,"hidden":false,"hero":false,"slider":null,"value":1250,"display":"1,250"}]},{"id":"microscope-resolution","title":"Microscope Resolution","description":"Calculate the Abbe diffraction limit of a microscope from wavelength and numerical aperture.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.140Z"},"rows":[{"text":"# Optics","label":null,"prefix":null,"suffix":null,"section":"Optics","hero":false,"slider":null,"value":null,"display":null},{"text":"light wavelength = 550 // nm (green light)","label":null,"prefix":null,"suffix":"nm (green light)","section":"Optics","hidden":false,"hero":false,"slider":null,"value":550,"display":"550"},{"text":"numerical aperture = 1.25 // 0.1..1.4","label":null,"prefix":null,"suffix":null,"section":"Optics","hidden":false,"hero":false,"slider":{"min":0.1,"max":1.4,"step":0.02},"value":1.25,"display":"1.25"},{"text":"# Abbe Resolution Limit: d = lambda / (2 * NA)","label":null,"prefix":null,"suffix":null,"section":"Abbe Resolution Limit: d = lambda / (2 * NA)","hero":false,"slider":null,"value":null,"display":null},{"text":"resolution limit = light wavelength / (2 * numerical aperture) // nm @hero","label":null,"prefix":null,"suffix":"nm","section":"Abbe Resolution Limit: d = lambda / (2 * 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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":"2026-05-19T03:36:31.141Z"},"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 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@suffix(kg·m/s)","label":"p","prefix":null,"suffix":null,"section":"Momentum","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"moon-phase-percent-illumination","title":"Moon Phase Percent Illumination","description":"Calculate moon illumination percentage from days since the last new moon.","category":"science","icon":"moon","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"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":"2026-05-19T03:36:31.141Z"},"rows":[{"text":"# Move Details","label":null,"prefix":null,"suffix":null,"section":"Move Details","hero":false,"slider":null,"value":null,"display":null},{"text":"distance = 500 // miles 10..3k by 10","label":null,"prefix":null,"suffix":"miles","section":"Move Details","hidden":false,"hero":false,"slider":{"min":10,"max":3000,"step":10},"value":500,"display":"500"},{"text":"bedrooms = 2 // 1..6","label":null,"prefix":null,"suffix":null,"section":"Move Details","hidden":false,"hero":false,"slider":{"min":1,"max":6,"step":0.05},"value":2,"display":"2"},{"text":"is professional = 1 // dropdown({Professional: 1, DIY: 0}) @label(Moving Method)","label":"Moving Method","prefix":null,"suffix":null,"section":"Move Details","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# DIY Costs","label":null,"prefix":null,"suffix":null,"section":"DIY Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$truck rental = 40 + distance * 0.70 + bedrooms * 50","label":null,"prefix":"$","suffix":null,"section":"DIY Costs","hidden":false,"hero":false,"slider":null,"value":490,"display":"$490.00"},{"text":"$fuel for truck = distance * 2 / 10 * 3.89 // @label(Fuel (truck ~10mpg))","label":"Fuel (truck ~10mpg)","prefix":"$","suffix":null,"section":"DIY Costs","hidden":false,"hero":false,"slider":null,"value":389,"display":"$389.00"},{"text":"$diy total = truck rental + fuel for truck","label":null,"prefix":"$","suffix":null,"section":"DIY Costs","hidden":false,"hero":false,"slider":null,"value":879,"display":"$879.00"},{"text":"# Professional Costs","label":null,"prefix":null,"suffix":null,"section":"Professional Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"$base labor = 800 + bedrooms * 400 // @label(Base Labor (crew + hours))","label":"Base Labor (crew + hours)","prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":1600,"display":"$1,600.00"},{"text":"$mileage charge = distance * 0.75 // @label(Long Distance Charge)","label":"Long Distance Charge","prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":375,"display":"$375.00"},{"text":"$packing materials = 100 + bedrooms * 75","label":null,"prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":250,"display":"$250.00"},{"text":"$pro total = base labor + mileage charge + packing materials","label":null,"prefix":"$","suffix":null,"section":"Professional Costs","hidden":false,"hero":false,"slider":null,"value":2225,"display":"$2,225.00"},{"text":"# Your Estimate","label":null,"prefix":null,"suffix":null,"section":"Your Estimate","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated cost = is professional * pro total + (1 - is professional) * diy total // @hero","label":null,"prefix":"$","suffix":null,"section":"Your Estimate","hidden":false,"hero":true,"slider":null,"value":2225,"display":"$2,225.00"},{"text":"$per bedroom = round(estimated cost / bedrooms) // @label(Cost Per Bedroom)","label":"Cost Per Bedroom","prefix":"$","suffix":null,"section":"Your Estimate","hidden":false,"hero":false,"slider":null,"value":1113,"display":"$1,113.00"}]},{"id":"mtu-overhead-overhead-percent","title":"Mtu Overhead Overhead Percent","description":"Calculate the network overhead percentage of headers within an MTU.","category":"other","icon":"percent","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.142Z"},"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":"2026-05-19T03:36:31.142Z"},"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 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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":"2026-05-19T03:36:31.142Z"},"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":"2026-05-19T03:36:31.142Z"},"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":"2026-05-19T03:36:31.142Z"},"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":"2026-05-19T03:36:31.142Z"},"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":"2026-05-19T03:36:31.142Z"},"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":"2026-05-19T03:36:31.142Z"},"rows":[{"text":"# Survey Results","label":null,"prefix":null,"suffix":null,"section":"Survey Results","hero":false,"slider":null,"value":null,"display":null},{"text":"total responses = 500 // 10..10k","label":null,"prefix":null,"suffix":null,"section":"Survey Results","hidden":false,"hero":false,"slider":{"min":10,"max":10000,"step":100},"value":500,"display":"500"},{"text":"number of promoters = 300 // 9-10 score 0..10000 by 1","label":null,"prefix":null,"suffix":"9-10 score","section":"Survey Results","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":1},"value":300,"display":"300"},{"text":"number of detractors = 50 // 0-6 score 0..10000 by 1","label":null,"prefix":null,"suffix":"0-6 score","section":"Survey Results","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":1},"value":50,"display":"50"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"_percent_promoters = (number of promoters / total responses) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"_percent_detractors = (number of detractors / total responses) * 100","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"_number_of_passives = total responses - number of promoters - number of detractors","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":150,"display":"150"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"net promoter score = percent_promoters - percent_detractors // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"},{"text":"rating = if(net promoter score > 70, \"World Class\", if(net promoter score > 30, \"Good\", \"Needs Improvement\"))","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Good","display":"Good"},{"text":"percent passives = (number_of_passives / total responses) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"}]},{"id":"net-worth-growth-projection","title":"Net Worth Growth Projection","description":"Project future net worth from current value, annual contributions, and growth rate.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.142Z"},"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 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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":"2026-05-19T03:36:31.142Z"},"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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average_monthly_revenue_per_subscriber * subscriber_lifetime_months","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":83333.33333333334,"display":"83,333.3333"}]},{"id":"newtons-second-law-acceleration","title":"Newtons Second Law Acceleration","description":"Calculate acceleration from force and mass using Newton's Second Law.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.142Z"},"rows":[{"text":"force = 100 // Newtons","label":null,"prefix":null,"suffix":"Newtons","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"mass = 20 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero acceleration = force / mass // meters per second squared","label":null,"prefix":null,"suffix":"meters per second 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Force","label":null,"prefix":null,"suffix":null,"section":"Force","hero":false,"slider":null,"value":null,"display":null},{"text":"force = mass * acceleration // @label(Force) @suffix(N)","label":"Force","prefix":null,"suffix":null,"section":"Force","hidden":false,"hero":true,"slider":null,"value":98,"display":"98"}]},{"id":"nitro-gas-mix-ppo2","title":"Nitro Gas Mix Ppo2","description":"Calculate partial pressure of oxygen (ppO2) for a nitrox mix at depth.","category":"everyday","icon":"home","tags":["gas","everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.142Z"},"rows":[{"text":"nitrox_oxygen_percent = 32","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":32,"display":"32"},{"text":"depth_feet = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"ata_pressure = (depth_feet / 33) + 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4.03030303030303,"display":"4.0303"},{"text":"@hero partial_pressure_oxygen = (nitrox_oxygen_percent / 100) * ata_pressure","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.2896969696969696,"display":"1.2897"}]},{"id":"noise-exposure-limit-osha","title":"Noise Exposure Limit Osha","description":"Calculate permissible OSHA noise exposure hours from decibel level.","category":"math","icon":"infinity","tags":["exposure","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.142Z"},"rows":[{"text":"noise_level_decibels = 95","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":95,"display":"95"},{"text":"@hero permissible_exposure_hours = 8 / (2^((noise_level_decibels - 90) / 5))","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4,"display":"4"}]},{"id":"normal-distribution-probability","title":"Normal Distribution Density","description":"Probability density of a normal distribution: f(x) = (1 / (σ√(2π))) · exp(−(x−μ)²/(2σ²)).","category":"formulas","icon":"sigma","tags":["statistics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.143Z"},"rows":[{"text":"# Distribution parameters","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"mean = 0 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":0,"display":"0"},{"text":"standard_deviation = 1 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":1,"display":"1"},{"text":"x = 0 // -1k..1k","label":null,"prefix":null,"suffix":null,"section":"Distribution parameters","hidden":false,"hero":false,"slider":{"min":-1000,"max":1000,"step":20},"value":0,"display":"0"},{"text":"# PDF value at x","label":null,"prefix":null,"suffix":null,"section":"PDF value at x","hero":false,"slider":null,"value":null,"display":null},{"text":"_exponent = -(((x - mean)^2)) / (2 * (standard_deviation^2))","label":null,"prefix":null,"suffix":null,"section":"PDF value at x","hidden":true,"hero":false,"slider":null,"value":0,"display":"-0"},{"text":"density = (1 / (standard_deviation * sqrt(2 * pi))) * exp(exponent) // @label(f(x))","label":"f(x)","prefix":null,"suffix":null,"section":"PDF value at x","hidden":false,"hero":true,"slider":null,"value":0.3989422804014327,"display":"0.3989"}]},{"id":"notary-public-fee-limit","title":"Notary Fee Limit","description":"Calculate the maximum legal fee for notary services.","category":"other","icon":"file-check","tags":["fee"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.143Z"},"rows":[{"text":"numberOfSignatures = 3 // count","label":null,"prefix":null,"suffix":"count","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"maxFeePerSignature = 10 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"totalMaxNotaryFee = numberOfSignatures * maxFeePerSignature","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"numerology-destiny-number","title":"Numerology Destiny Number","description":"Reduce a name's numeric sum to a single-digit numerology destiny number.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.143Z"},"rows":[{"text":"name_value_sum = 42","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":42,"display":"42"},{"text":"destiny_number = (name_value_sum - 1) % 9 + 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":null,"display":null}]},{"id":"nyquist-sampling-rate","title":"Nyquist Sampling Rate","description":"Calculate minimum sampling frequency to avoid aliasing.","category":"engineering","icon":"activity","tags":["engineering","electronics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.143Z"},"rows":[{"text":"max_signal_frequency_hz = 20000 // Hz (audio)","label":null,"prefix":null,"suffix":"Hz (audio)","section":null,"hidden":false,"hero":false,"slider":null,"value":20000,"display":"20,000"},{"text":"@hero minimum_sampling_rate_hz = 2 * max_signal_frequency_hz // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":true,"slider":null,"value":40000,"display":"40,000"},{"text":"standard_cd_quality_rate = 44100 // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":44100,"display":"44,100"}]},{"id":"ocean-acidification-ph-change","title":"Ocean Acidification pH Change","description":"Predict pH change based on atmospheric CO2 increases.","category":"science","icon":"droplet","tags":["science","ocean","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.143Z"},"rows":[{"text":"initial_ph = 8.1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8.1,"display":"8.1"},{"text":"carbon_dioxide_increase_percent 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384400","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":384400,"display":"384,400"},{"text":"moon_mass_kg = 7.34e22","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.34e+22,"display":"7.34e22"},{"text":"earth_radius_km = 6371","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":6371,"display":"6,371"},{"text":"tide_force_relative = (moon_mass_kg / moon_distance_km^3) * earth_radius_km","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8232913036.222099,"display":"8,232,913,036.2221"}]},{"id":"offshore-wind-farm-capacity","title":"Offshore Wind Farm Capacity","description":"Calculate energy generation and homes powered by offshore wind.","category":"engineering","icon":"fan","tags":["engineering","wind"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.143Z"},"rows":[{"text":"number_of_turbines = 50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"turbine_capacity_mw = 8 // MW","label":null,"prefix":null,"suffix":"MW","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"capacity_factor = 40 // percent (efficiency in real conditions)","label":null,"prefix":null,"suffix":"percent (efficiency in real conditions)","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"@hero total_annual_generation_gwh = number_of_turbines * turbine_capacity_mw * (capacity_factor / 100) * 8760 / 1000 // GWh","label":null,"prefix":null,"suffix":"GWh","section":null,"hidden":false,"hero":true,"slider":null,"value":1401.6,"display":"1,401.6"},{"text":"homes_powered = total_annual_generation_gwh * 1000000 / 3500 // 3500 kWh per home","label":null,"prefix":null,"suffix":"3500 kWh per home","section":null,"hidden":false,"hero":false,"slider":null,"value":400457.14285714284,"display":"400,457.1429"}]},{"id":"ohms-law","title":"Ohm's Law","description":"Calculate voltage, current, resistance, and power for electrical circuits.","category":"science","icon":"zap","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.143Z"},"rows":[{"text":"# Circuit Values","label":null,"prefix":null,"suffix":null,"section":"Circuit Values","hero":false,"slider":null,"value":null,"display":null},{"text":"voltage = 12 // V 0.1..240","label":null,"prefix":null,"suffix":"V","section":"Circuit 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= (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":"2026-05-19T03:36:31.144Z"},"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 - 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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":"2026-05-19T03:36:31.144Z"},"rows":[{"text":"# 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6.674e-11","label":null,"prefix":null,"suffix":null,"section":"Circular Orbit Math","hidden":true,"hero":false,"slider":null,"value":6.674e-11,"display":"6.674e-11"},{"text":"_orbit_radius_m = (body radius km + altitude km) * 1000 // m","label":null,"prefix":null,"suffix":"m","section":"Circular Orbit Math","hidden":true,"hero":false,"slider":null,"value":6779000,"display":"6,779,000"},{"text":"velocity m per s = sqrt(G * body mass kg / orbit_radius_m) // m/s @label(Orbital velocity) @suffix(m/s)","label":"Orbital velocity","prefix":null,"suffix":"m/s","section":"Circular Orbit Math","hidden":false,"hero":false,"slider":null,"value":7667.789532332016,"display":"7,667.7895"},{"text":"velocity km per s = velocity m per s / 1000 // km/s @hero @label(Orbital velocity (km/s))","label":"Orbital velocity (km/s)","prefix":null,"suffix":"km/s","section":"Circular Orbit Math","hidden":false,"hero":true,"slider":null,"value":7.667789532332016,"display":"7.6678"},{"text":"# Orbital 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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":"2026-05-19T03:36:31.144Z"},"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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Window","label":null,"prefix":null,"suffix":null,"section":"Fertility Window","hero":false,"slider":null,"value":null,"display":null},{"text":"fertile window start = ovulation day - 5","label":null,"prefix":null,"suffix":null,"section":"Fertility Window","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"fertile window end = ovulation day + 1","label":null,"prefix":null,"suffix":null,"section":"Fertility Window","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"}]},{"id":"ozone-layer-recovery-estimate","title":"Ozone Layer Recovery Estimate","description":"Predict years to ozone recovery based on chemical reduction.","category":"science","icon":"sun","tags":["science","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.144Z"},"rows":[{"text":"current_ozone_depleting_substances_ppb = 3.2 // parts per billion","label":null,"prefix":null,"suffix":"parts per 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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":"2026-05-19T03:36:31.144Z"},"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 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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":"2026-05-19T03:36:31.145Z"},"rows":[{"text":"wall_area_square_feet = 400 // square 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flight_speed_m_s","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"paper-recycling-water-saved","title":"Paper Recycling Water Saved","description":"Calculate water saved by recycling paper instead of using virgin pulp.","category":"science","icon":"file-text","tags":["eco","water"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.145Z"},"rows":[{"text":"paper_weight_kg = 50 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"water_saved_per_kg_recycled = 26 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":26,"display":"26"},{"text":"@hero total_water_saved_liters = paper_weight_kg * water_saved_per_kg_recycled // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":1300,"display":"1,300"}]},{"id":"parallelogram-area","title":"Parallelogram Area","description":"Find the area of a parallelogram: A = base × height.","category":"formulas","icon":"square","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.145Z"},"rows":[{"text":"# Base and height","label":null,"prefix":null,"suffix":null,"section":"Base and height","hero":false,"slider":null,"value":null,"display":null},{"text":"base = 10 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Base and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":10,"display":"10"},{"text":"height = 6 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Base and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":6,"display":"6"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = base * height","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":60,"display":"60"}]},{"id":"parsec-to-lightyear","title":"Parsec To Lightyear","description":"Convert parsecs to light years.","category":"science","icon":"globe","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.145Z"},"rows":[{"text":"parsecs = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"light_years = parsecs * 3.26156","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.26156,"display":"3.2616"}]},{"id":"password-entropy-bits","title":"Password Entropy Bits","description":"Calculate password entropy in bits from length and character set 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2000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"animal_daily_intake_pounds = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"grazing_days = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"total_forage_available = pasture_area_acres * forage_yield_pounds_per_acre","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20000,"display":"20,000"},{"text":"@hero grazing_capacity_animal_count = total_forage_available / (animal_daily_intake_pounds * grazing_days)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":22.22222222222222,"display":"22.2222"}]},{"id":"patent-expiration-timeline","title":"Patent 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0.0299","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.0299,"display":"0.0299"},{"text":"paypal_fixed_fee = 0.49","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.49,"display":"0.49"},{"text":"total_paypal_fees = (invoice_amount * paypal_standard_percentage_fee) + paypal_fixed_fee","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15.44,"display":"15.44"},{"text":"final_received_amount = invoice_amount - total_paypal_fees","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":484.56,"display":"484.56"}]},{"id":"payroll-tax","title":"Payroll Tax","description":"Calculate total employer and employee payroll taxes (FICA, FUTA, 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Status","label":null,"prefix":null,"suffix":null,"section":"Status","hero":false,"slider":null,"value":null,"display":null},{"text":"acidity = ph level","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"is acidic = ph level < 7","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":true,"display":"true"},{"text":"is neutral = ph level == 7","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"is basic = ph level > 7","label":null,"prefix":null,"suffix":null,"section":"Status","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"# Reference","label":null,"prefix":null,"suffix":null,"section":"Reference","hero":false,"slider":null,"value":null,"display":null},{"text":"poh = 14 - ph level","label":null,"prefix":null,"suffix":null,"section":"Reference","hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"hydroxide concentration = 10^-poh","label":null,"prefix":null,"suffix":null,"section":"Reference","hidden":false,"hero":false,"slider":null,"value":1e-9,"display":"1e-9"}]},{"id":"photography-exposure-value-ev","title":"Photography Exposure Value Ev","description":"Calculate photographic exposure value (EV) corrected for ISO.","category":"design","icon":"palette","tags":["exposure","ev"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.146Z"},"rows":[{"text":"aperture_f_stop = 2.8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.8,"display":"2.8"},{"text":"shutter_speed = 0.01 // seconds (1/100)","label":null,"prefix":null,"suffix":"seconds (1/100)","section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"iso = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero exposure_value_at_iso_100 = log2(aperture_f_stop^2 / shutter_speed)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.614709844115207,"display":"9.6147"},{"text":"@hero exposure_value_corrected = exposure_value_at_iso_100 + log2(iso / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9.614709844115207,"display":"9.6147"}]},{"id":"photography-print-resolution","title":"Photography Print Resolution","description":"Calculate maximum print dimensions and megapixels from image pixel dimensions.","category":"other","icon":"calculator","tags":["print"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.146Z"},"rows":[{"text":"# Image Stats","label":null,"prefix":null,"suffix":null,"section":"Image Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"width pixels = 6000","label":null,"prefix":null,"suffix":null,"section":"Image Stats","hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"height pixels = 4000","label":null,"prefix":null,"suffix":null,"section":"Image Stats","hidden":false,"hero":false,"slider":null,"value":4000,"display":"4,000"},{"text":"# Print settings","label":null,"prefix":null,"suffix":null,"section":"Print settings","hero":false,"slider":null,"value":null,"display":null},{"text":"desired dpi = 300 // dots per inch","label":null,"prefix":null,"suffix":"dots per inch","section":"Print settings","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"max print width = width pixels / desired dpi // inches @hero","label":null,"prefix":null,"suffix":"inches","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":20,"display":"20"},{"text":"max print height = height pixels / desired dpi // inches @hero","label":null,"prefix":null,"suffix":"inches","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":13.333333333333334,"display":"13.3333"},{"text":"megapixels = (width pixels * height pixels) / 1000000 // MP @hero","label":null,"prefix":null,"suffix":"MP","section":"Calculation","hidden":false,"hero":true,"slider":null,"value":24,"display":"24"}]},{"id":"picking-productivity-lines-per-hour","title":"Picking Productivity","description":"Measure how many order lines are picked per labor hour.","category":"business","icon":"list","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.146Z"},"rows":[{"text":"totalLinesPicked = 1200 // lines","label":null,"prefix":null,"suffix":"lines","section":null,"hidden":false,"hero":false,"slider":null,"value":1200,"display":"1,200"},{"text":"totalHoursWorked = 40 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"pickingProductivity = totalLinesPicked / totalHoursWorked","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":30,"display":"30"}]},{"id":"pickling-vinegar-ratio","title":"Pickling Vinegar Ratio","description":"Calculate final acidity percentage of a pickling brine from vinegar and water ratio.","category":"math","icon":"ratio","tags":["math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.146Z"},"rows":[{"text":"vinegar_volume_cups = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"water_volume_cups = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"vinegar_acidity_percent = 5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"total_volume_cups = vinegar_volume_cups + water_volume_cups","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"@hero final_acidity_percent = (vinegar_volume_cups * vinegar_acidity_percent) / total_volume_cups // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"picture-frame-mat-size","title":"Picture Frame Mat Size","description":"Calculate mat and frame dimensions for a photo.","category":"design","icon":"frame","tags":["design"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.146Z"},"rows":[{"text":"photo_width_inches = 8 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"photo_height_inches = 10 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"mat_border_inches = 2 // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"@hero frame_opening_width = photo_width_inches + (2 * mat_border_inches) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":true,"slider":null,"value":12,"display":"12"},{"text":"frame_opening_height = photo_height_inches + (2 * mat_border_inches) // inches","label":null,"prefix":null,"suffix":"inches","section":null,"hidden":false,"hero":false,"slider":null,"value":14,"display":"14"}]},{"id":"pilot-crosswind-component","title":"Pilot Crosswind Component","description":"Calculate crosswind component in knots from wind speed and angle to runway.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.146Z"},"rows":[{"text":"wind_speed_knots = 20","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"wind_angle_degrees = 45","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"@hero crosswind_component_knots = wind_speed_knots * sin(wind_angle_degrees * 3.14159 / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.274146860546511,"display":"0.2741"}]},{"id":"piotroski-f-score","title":"Piotroski F Score","description":"Calculate the Piotroski F-Score from nine financial-health checks.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.146Z"},"rows":[{"text":"net_income_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"operating_cash_flow_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"return_on_assets_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"accruals_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"leverage_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"liquidity_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"equity_issuance_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"gross_margin_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"asset_turnover_score = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"total_f_score = net_income_score + operating_cash_flow_score + return_on_assets_score + accruals_score + leverage_score + liquidity_score + equity_issuance_score + gross_margin_score + asset_turnover_score","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":9,"display":"9"}]},{"id":"pipe-flow","title":"Pipe Flow","description":"Calculate flow velocity, Reynolds number, and pressure drop through pipes.","category":"engineering","icon":"droplet","tags":["flow"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.147Z"},"rows":[{"text":"# Pipe Dimensions","label":null,"prefix":null,"suffix":null,"section":"Pipe Dimensions","hero":false,"slider":null,"value":null,"display":null},{"text":"pipe inner diameter = 4 // in 0.5..24","label":null,"prefix":null,"suffix":"in","section":"Pipe Dimensions","hidden":false,"hero":false,"slider":{"min":0.5,"max":24,"step":0.5},"value":4,"display":"4"},{"text":"pipe length = 100 // ft 10..5k by 10","label":null,"prefix":null,"suffix":"ft","section":"Pipe Dimensions","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":10},"value":100,"display":"100"},{"text":"surface roughness = 0.00015 // ft 0.00001..0.01","label":null,"prefix":null,"suffix":"ft","section":"Pipe Dimensions","hidden":false,"hero":false,"slider":{"min":0.00001,"max":0.01,"step":0.00009999999999999999},"value":0.00015,"display":"0.00015"},{"text":"# Flow","label":null,"prefix":null,"suffix":null,"section":"Flow","hero":false,"slider":null,"value":null,"display":null},{"text":"flow rate = 100 // GPM 1..2k","label":null,"prefix":null,"suffix":"GPM","section":"Flow","hidden":false,"hero":false,"slider":{"min":1,"max":2000,"step":20},"value":100,"display":"100"},{"text":"diameter ft = pipe_inner_diameter / 12","label":null,"prefix":null,"suffix":null,"section":"Flow","hidden":false,"hero":false,"slider":null,"value":0.3333333333333333,"display":"0.3333"},{"text":"cross section area = PI * (diameter_ft / 2)^2 // ft²","label":null,"prefix":null,"suffix":"ft²","section":"Flow","hidden":false,"hero":false,"slider":null,"value":0.08726646259971647,"display":"0.0873"},{"text":"flow cfs = flow_rate / 449","label":null,"prefix":null,"suffix":null,"section":"Flow","hidden":false,"hero":false,"slider":null,"value":0.22271714922049,"display":"0.2227"},{"text":"flow velocity = flow_cfs / cross_section_area // ft/s @hero","label":null,"prefix":null,"suffix":"ft/s","section":"Flow","hidden":false,"hero":true,"slider":null,"value":2.5521505351038902,"display":"2.5522"},{"text":"# Head Loss (Darcy-Weisbach approx)","label":null,"prefix":null,"suffix":null,"section":"Head Loss (Darcy-Weisbach approx)","hero":false,"slider":null,"value":null,"display":null},{"text":"reynolds number = flow_velocity * diameter_ft / 0.0000141","label":null,"prefix":null,"suffix":null,"section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":null,"value":60334.52801664043,"display":"60,334.528"},{"text":"friction factor approx = 0.025 // 0.005..0.1","label":null,"prefix":null,"suffix":null,"section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":{"min":0.005,"max":0.1,"step":0.001},"value":0.025,"display":"0.025"},{"text":"head loss = friction_factor_approx * (pipe_length / diameter_ft) * (flow_velocity^2) / (2 * 32.2) // ft","label":null,"prefix":null,"suffix":"ft","section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":null,"value":0.7585565629461652,"display":"0.7586"},{"text":"pressure drop = head_loss * 0.433 // psi","label":null,"prefix":null,"suffix":"psi","section":"Head Loss (Darcy-Weisbach approx)","hidden":false,"hero":false,"slider":null,"value":0.32845499175568954,"display":"0.3285"}]},{"id":"pipe-pressure-drop-hazen-williams","title":"Pipe Pressure Drop","description":"Calculate pressure loss in pipes using Hazen-Williams.","category":"engineering","icon":"droplet","tags":["engineering","plumbing","fluids"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.147Z"},"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":"2026-05-19T03:36:31.147Z"},"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":"2026-05-19T03:36:31.147Z"},"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":"2026-05-19T03:36:31.147Z"},"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":"2026-05-19T03:36:31.147Z"},"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":"2026-05-19T03:36:31.147Z"},"rows":[{"text":"# Planet (default: Venus)","label":null,"prefix":null,"suffix":null,"section":"Planet (default: Venus)","hero":false,"slider":null,"value":null,"display":null},{"text":"rotation days = 243 // Earth days 0.1..10k","label":null,"prefix":null,"suffix":"Earth days","section":"Planet (default: Venus)","hidden":false,"hero":false,"slider":{"min":0.1,"max":10000,"step":100},"value":243,"display":"243"},{"text":"orbital days = 224.7 // Earth days 0.1..100k","label":null,"prefix":null,"suffix":"Earth days","section":"Planet (default: Venus)","hidden":false,"hero":false,"slider":{"min":0.1,"max":100000,"step":1000},"value":224.7,"display":"224.7"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"day longer than year = rotation days - orbital days // days @hero @label(Day minus year (Earth days))","label":"Day minus year (Earth days)","prefix":null,"suffix":"days","section":"Comparison","hidden":false,"hero":true,"slider":null,"value":18.3,"display":"18.3"},{"text":"ratio day to year = round(rotation days / orbital days, 3) // @label(Rotation ÷ orbit)","label":"Rotation ÷ orbit","prefix":null,"suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":1.081,"display":"1.081"},{"text":"# How Many \"Years\" in One \"Day\"","label":null,"prefix":null,"suffix":null,"section":"How Many \"Years\" in One \"Day\"","hero":false,"slider":null,"value":null,"display":null},{"text":"years per day = round(rotation days / orbital days, 3) // @label(Years per rotation)","label":"Years per rotation","prefix":null,"suffix":null,"section":"How Many \"Years\" in One \"Day\"","hidden":false,"hero":false,"slider":null,"value":1.081,"display":"1.081"},{"text":"# Reference: Earth","label":null,"prefix":null,"suffix":null,"section":"Reference: Earth","hero":false,"slider":null,"value":null,"display":null},{"text":"earth rotation hours = 23.93 // hr @label(Earth sidereal day) @suffix(hr)","label":"Earth sidereal day","prefix":null,"suffix":"hr","section":"Reference: 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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":"2026-05-19T03:36:31.147Z"},"rows":[{"text":"field_width_meters = 20 // 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7.48","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16830,"display":"16,830"}]},{"id":"pool-volume-round","title":"Pool Volume Round","description":"Calculate round pool volume in gallons from diameter and depth.","category":"science","icon":"flask-conical","tags":["pool","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.148Z"},"rows":[{"text":"diameter_feet = 18","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":18,"display":"18"},{"text":"average_depth_feet = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"radius_feet = diameter_feet / 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":9,"display":"9"},{"text":"volume_cubic_feet = 3.14159 * radius_feet^2 * average_depth_feet","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1017.87516,"display":"1,017.8752"},{"text":"@hero volume_gallons = volume_cubic_feet * 7.48","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":7613.7061968,"display":"7,613.7062"}]},{"id":"popcorn-pop-rate","title":"Popcorn Pop Rate","description":"Calculate the average popping rate of popcorn kernels per second.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.148Z"},"rows":[{"text":"kernels = 200","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"pop_time_seconds = 120","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"avg_pops_per_second = kernels / pop_time_seconds","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":1.6666666666666667,"display":"1.6667"}]},{"id":"potential-energy","title":"Gravitational Potential Energy","description":"PE = m · g · h — gravitational potential energy near Earth's surface.","category":"formulas","icon":"zap","tags":["gravity","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.148Z"},"rows":[{"text":"# Inputs","label":null,"prefix":null,"suffix":null,"section":"Inputs","hero":false,"slider":null,"value":null,"display":null},{"text":"mass = 10 // kg 0.001..10k","label":null,"prefix":null,"suffix":"kg","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0.001,"max":10000,"step":100},"value":10,"display":"10"},{"text":"height = 5 // m 0..10k","label":null,"prefix":null,"suffix":"m","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":100},"value":5,"display":"5"},{"text":"gravity = 9.8 // m/s² 0..30 by 0.001","label":null,"prefix":null,"suffix":"m/s²","section":"Inputs","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":0.001},"value":9.8,"display":"9.8"},{"text":"# Potential energy","label":null,"prefix":null,"suffix":null,"section":"Potential energy","hero":false,"slider":null,"value":null,"display":null},{"text":"potential_energy = mass * gravity * height // @label(PE) @suffix(J)","label":"PE","prefix":null,"suffix":null,"section":"Potential energy","hidden":false,"hero":true,"slider":null,"value":490,"display":"490"}]},{"id":"potential-rental-income","title":"Potential Rental Income","description":"Calculate the total possible income if a property were 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0.5..24","label":null,"prefix":null,"suffix":"hrs","section":"Appliances","hidden":false,"hero":false,"slider":{"min":0.5,"max":24,"step":0.5},"value":8,"display":"8"},{"text":"number of appliances = 3 // 1..20","label":null,"prefix":null,"suffix":null,"section":"Appliances","hidden":false,"hero":false,"slider":{"min":1,"max":20,"step":0.2},"value":3,"display":"3"},{"text":"# Energy Use","label":null,"prefix":null,"suffix":null,"section":"Energy Use","hero":false,"slider":null,"value":null,"display":null},{"text":"daily energy use = appliance wattage * hours used per day * number of appliances / 1000 // kWh @hero","label":null,"prefix":null,"suffix":"kWh","section":"Energy Use","hidden":false,"hero":true,"slider":null,"value":36,"display":"36"},{"text":"monthly energy use = daily energy use * 30 // kWh","label":null,"prefix":null,"suffix":"kWh","section":"Energy Use","hidden":false,"hero":false,"slider":null,"value":1080,"display":"1,080"},{"text":"yearly energy use = daily energy use 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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":"2026-05-19T03:36:31.148Z"},"rows":[{"text":"# 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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 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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":"2026-05-19T03:36:31.148Z"},"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":"2026-05-19T03:36:31.149Z"},"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":"2026-05-19T03:36:31.149Z"},"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":"2026-05-19T03:36:31.149Z"},"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":"2026-05-19T03:36:31.149Z"},"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":"2026-05-19T03:36:31.149Z"},"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":"2026-05-19T03:36:31.149Z"},"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":"2026-05-19T03:36:31.149Z"},"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":"2026-05-19T03:36:31.149Z"},"rows":[{"text":"# Sales 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sold","label":null,"prefix":"$","suffix":null,"section":"Profit","hidden":false,"hero":false,"slider":null,"value":20000,"display":"$20,000.00"},{"text":"$operating profit = gross profit - operating expenses","label":null,"prefix":"$","suffix":null,"section":"Profit","hidden":false,"hero":false,"slider":null,"value":8000,"display":"$8,000.00"},{"text":"# Margins","label":null,"prefix":null,"suffix":null,"section":"Margins","hero":false,"slider":null,"value":null,"display":null},{"text":"gross margin = (gross profit / revenue) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Margins","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"},{"text":"operating margin = (operating profit / revenue) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Margins","hidden":false,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"markup on cost = (gross profit / cost of goods sold) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Margins","hidden":false,"hero":false,"slider":null,"value":66.66666666666666,"display":"66.6667"},{"text":"# Per Unit","label":null,"prefix":null,"suffix":null,"section":"Per Unit","hero":false,"slider":null,"value":null,"display":null},{"text":"units sold = 500 // 1..10k","label":null,"prefix":null,"suffix":null,"section":"Per Unit","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":500,"display":"500"},{"text":"$revenue per unit = revenue / units sold","label":null,"prefix":"$","suffix":null,"section":"Per Unit","hidden":false,"hero":false,"slider":null,"value":100,"display":"$100.00"},{"text":"$profit per unit = operating profit / units sold","label":null,"prefix":"$","suffix":null,"section":"Per Unit","hidden":false,"hero":false,"slider":null,"value":16,"display":"$16.00"}]},{"id":"project-buffer-time-contingency","title":"Project Buffer Time Contingency","description":"Calculate recommended buffer days for a project from uncertainty percentage.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.149Z"},"rows":[{"text":"estimated_project_duration_days = 30 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"uncertainty_percent = 20 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero recommended_buffer_days = estimated_project_duration_days * (uncertainty_percent / 100) // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":6,"display":"6"},{"text":"@hero total_buffered_duration = estimated_project_duration_days + recommended_buffer_days // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":36,"display":"36"}]},{"id":"project-deadline-probability-estimator","title":"Project Deadline Probability Estimator","description":"Estimate project duration using PERT three-point estimation.","category":"productivity","icon":"clock","tags":["probability"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.149Z"},"rows":[{"text":"optimistic_days = 10 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"most_likely_days = 15 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"pessimistic_days = 30 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero expected_duration_pert = (optimistic_days + 4 * most_likely_days + pessimistic_days) / 6 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":16.666666666666668,"display":"16.6667"},{"text":"@hero standard_deviation = (pessimistic_days - optimistic_days) / 6 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"projectile-motion-air-resistance","title":"Projectile Motion Air Resistance","description":"Calculate terminal velocity for projectile motion with air resistance.","category":"education","icon":"book-open","tags":["motion","air"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.149Z"},"rows":[{"text":"velocity = 50 // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"angle_degrees = 45 // degrees","label":null,"prefix":null,"suffix":"degrees","section":null,"hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"mass = 1 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"drag_coefficient = 0.47","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.47,"display":"0.47"},{"text":"air_density = 1.225 // kg/m^3","label":null,"prefix":null,"suffix":"kg/m^3","section":null,"hidden":false,"hero":false,"slider":null,"value":1.225,"display":"1.225"},{"text":"area = 0.01 // m^2","label":null,"prefix":null,"suffix":"m^2","section":null,"hidden":false,"hero":false,"slider":null,"value":0.01,"display":"0.01"},{"text":"_gravity = 9.81 // m/s^2","label":null,"prefix":null,"suffix":"m/s^2","section":null,"hidden":true,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"_v_x = velocity * cos(angle_degrees * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":49.99530249007753,"display":"49.9953"},{"text":"_v_y = velocity * sin(angle_degrees * pi / 180)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.6853677302353737,"display":"0.6854"},{"text":"@hero terminal_velocity = sqrt((2 * mass * gravity) / (air_density * area * drag_coefficient)) // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":true,"slider":null,"value":58.375757374670826,"display":"58.3758"}]},{"id":"projectile-motion","title":"Projectile Motion","description":"Calculate max height, range, and flight time for launched projectiles.","category":"science","icon":"target","tags":["motion","physics"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.149Z"},"rows":[{"text":"# Launch Parameters","label":null,"prefix":null,"suffix":null,"section":"Launch Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"initial velocity = 50 // m/s 1..200","label":null,"prefix":null,"suffix":"m/s","section":"Launch Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":200,"step":1},"value":50,"display":"50"},{"text":"launch angle = 45 // ° 1..89","label":null,"prefix":null,"suffix":"°","section":"Launch Parameters","hidden":false,"hero":false,"slider":{"min":1,"max":89,"step":1},"value":45,"display":"45"},{"text":"initial height = 0 // m 0..100","label":null,"prefix":null,"suffix":"m","section":"Launch Parameters","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":0,"display":"0"},{"text":"_g = 9.81 // m/s²","label":null,"prefix":null,"suffix":"m/s²","section":"Launch Parameters","hidden":true,"hero":false,"slider":null,"value":9.81,"display":"9.81"},{"text":"_horizontal_velocity = initial velocity * cos(launch angle) // m/s","label":null,"prefix":null,"suffix":"m/s","section":"Launch Parameters","hidden":true,"hero":false,"slider":null,"value":35.35533905932738,"display":"35.3553"},{"text":"_vertical_velocity = initial velocity * sin(launch angle) // m/s","label":null,"prefix":null,"suffix":"m/s","section":"Launch Parameters","hidden":true,"hero":false,"slider":null,"value":35.35533905932737,"display":"35.3553"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"maximum height = round(initial height + (vertical_velocity^2) / (2 * g), 1) // m @hero","label":null,"prefix":null,"suffix":"m","section":"Results","hidden":false,"hero":true,"slider":null,"value":63.7,"display":"63.7"},{"text":"time of flight = round((vertical_velocity + sqrt(vertical_velocity^2 + 2 * g * initial height)) / g, 2) // s","label":null,"prefix":null,"suffix":"s","section":"Results","hidden":false,"hero":false,"slider":null,"value":7.21,"display":"7.21"},{"text":"horizontal range = round(horizontal_velocity * time of flight, 1) // m","label":null,"prefix":null,"suffix":"m","section":"Results","hidden":false,"hero":false,"slider":null,"value":254.9,"display":"254.9"},{"text":"impact speed = round(sqrt(horizontal_velocity^2 + (vertical_velocity - g * time of flight)^2), 1) // m/s","label":null,"prefix":null,"suffix":"m/s","section":"Results","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"}]},{"id":"property-tax-estimator","title":"Property Tax Estimator","description":"Estimate annual property tax from market value, assessment ratio, and mill rate.","category":"finance","icon":"dollar-sign","tags":["property","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.149Z"},"rows":[{"text":"# Property Value","label":null,"prefix":null,"suffix":null,"section":"Property Value","hero":false,"slider":null,"value":null,"display":null},{"text":"$fair market value = 450000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Property Value","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":450000,"display":"$450,000.00"},{"text":"assessment ratio = 80 // % 10..100","label":null,"prefix":null,"suffix":"%","section":"Property Value","hidden":false,"hero":false,"slider":{"min":10,"max":100,"step":1},"value":80,"display":"80"},{"text":"tax rate per 1000 = 12.5 // mills 1..50 by 0.1","label":null,"prefix":null,"suffix":"mills","section":"Property Value","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":0.1},"value":12.5,"display":"12.5"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_assessed_value = fair market value * (assessment ratio / 100)","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":360000,"display":"$360,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated annual property tax = (assessed_value / 1000) * tax rate per 1000 // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":4500,"display":"$4,500.00"},{"text":"$monthly property tax = estimated annual property tax / 12","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":375,"display":"$375.00"},{"text":"effective tax rate = (estimated annual property tax / fair market value) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Result","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"}]},{"id":"protein-intake","title":"Protein Intake","description":"Calculate daily protein needs based on weight and fitness goals.","category":"health","icon":"dumbbell","tags":["protein"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.149Z"},"rows":[{"text":"# Your Stats","label":null,"prefix":null,"suffix":null,"section":"Your Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"body weight = 170 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Your Stats","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":170,"display":"170"},{"text":"goal factor = 0.8 // g/lb 0.5..1.2 by 0.1","label":null,"prefix":null,"suffix":"g/lb","section":"Your Stats","hidden":false,"hero":false,"slider":{"min":0.5,"max":1.2,"step":0.1},"value":0.8,"display":"0.8"},{"text":"# Daily Protein","label":null,"prefix":null,"suffix":null,"section":"Daily Protein","hero":false,"slider":null,"value":null,"display":null},{"text":"daily protein = round(body weight * goal factor) // g @hero","label":null,"prefix":null,"suffix":"g","section":"Daily Protein","hidden":false,"hero":true,"slider":null,"value":136,"display":"136"},{"text":"protein per 3 meals = round(daily protein / 3) // g @label(Per Meal (3 meals))","label":"Per Meal (3 meals)","prefix":null,"suffix":"g","section":"Daily Protein","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"protein per 4 meals = round(daily protein / 4) // g @label(Per Meal (4 meals))","label":"Per Meal (4 meals)","prefix":null,"suffix":"g","section":"Daily Protein","hidden":false,"hero":false,"slider":null,"value":34,"display":"34"},{"text":"# Calories From Protein","label":null,"prefix":null,"suffix":null,"section":"Calories From Protein","hero":false,"slider":null,"value":null,"display":null},{"text":"protein calories = daily protein * 4 // cal","label":null,"prefix":null,"suffix":"cal","section":"Calories From Protein","hidden":false,"hero":false,"slider":null,"value":544,"display":"544"}]},{"id":"purchasing-power-parity-index","title":"Purchasing Power Parity Index","description":"Calculate currency valuation difference using purchasing power parity.","category":"science","icon":"flask-conical","tags":["index","science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.150Z"},"rows":[{"text":"price_index_country_a = 120","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"price_index_country_b = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"exchange_rate = 1.25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.25,"display":"1.25"},{"text":"ppp_exchange_rate = price_index_country_a / price_index_country_b","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.2,"display":"1.2"},{"text":"valuation_difference = (exchange_rate / ppp_exchange_rate) - 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.0416666666666668,"display":"0.0417"}]},{"id":"put-away-productivity","title":"Put-away Productivity","description":"Calculate the rate at which received goods are put onto shelves.","category":"business","icon":"download","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.150Z"},"rows":[{"text":"totalUnitsPutAway = 5000 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"totalLaborHours = 50 // hours","label":null,"prefix":null,"suffix":"hours","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"putAwayProductivity = totalUnitsPutAway / totalLaborHours","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"}]},{"id":"pyramid-volume","title":"Pyramid Volume","description":"Find the volume of a pyramid: V = (1/3) × base_area × 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base_length^2","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":false,"slider":null,"value":64,"display":"64"},{"text":"volume = (1 / 3) * base_area * height","label":null,"prefix":null,"suffix":null,"section":"Volume","hidden":false,"hero":true,"slider":null,"value":213.33333333333331,"display":"213.3333"}]},{"id":"pythagorean-theorem","title":"Pythagorean Theorem","description":"Find the hypotenuse of a right triangle from its two legs: c² = a² + b².","category":"formulas","icon":"triangle","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T07:11:39.094Z"},"rows":[{"text":"# Pythagorean Theorem @formula","label":null,"prefix":null,"suffix":null,"section":"Pythagorean Theorem","hero":false,"slider":null,"value":null,"display":null},{"text":"# Legs of right triangle","label":null,"prefix":null,"suffix":null,"section":"Legs of right triangle","hero":false,"slider":null,"value":null,"display":null},{"text":"a = 3 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Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"quick ratio = (cash and equivalents + marketable securities + accounts receivable) / current liabilities // @hero @suffix()","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":1.75,"display":"1.75"},{"text":"$total quick assets = cash and equivalents + marketable securities + accounts receivable","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":105000,"display":"$105,000.00"},{"text":"liquidity status = if(quick ratio >= 1, \"Strong\", \"Potential liquidity risk\")","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":"Strong","display":"Strong"}]},{"id":"radiation-dose-background-equiv","title":"Radiation Dose Background Equiv","description":"Calculate how many days of background 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using carbon-14 dating.","category":"health","icon":"activity","tags":["radioactive","carbon","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.151Z"},"rows":[{"text":"# Dating Parameters","label":null,"prefix":null,"suffix":null,"section":"Dating Parameters","hero":false,"slider":null,"value":null,"display":null},{"text":"current carbon fourteen ratio = 0.5 // 0.0001..1","label":null,"prefix":null,"suffix":null,"section":"Dating Parameters","hidden":false,"hero":false,"slider":{"min":0.0001,"max":1,"step":0.01},"value":0.5,"display":"0.5"},{"text":"initial carbon fourteen ratio = 1.0 // usually 1.0 (100%)","label":null,"prefix":null,"suffix":"usually 1.0 (100%)","section":"Dating Parameters","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"half life carbon fourteen = 5730 // years","label":null,"prefix":null,"suffix":"years","section":"Dating 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%","label":null,"prefix":null,"suffix":"%","section":"Details","hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"decay constant = 0.693147 / half life carbon fourteen","label":null,"prefix":null,"suffix":null,"section":"Details","hidden":false,"hero":false,"slider":null,"value":0.00012096806282722514,"display":"0.000121"},{"text":"error margin = estimated age * 0.05 // rough 5% estimate","label":null,"prefix":null,"suffix":"rough 5% estimate","section":"Details","hidden":false,"hero":false,"slider":null,"value":286.5000746312461,"display":"286.5001"},{"text":"calendar year = 1950 - estimated age // approx relative to 1950 baseline","label":null,"prefix":null,"suffix":"approx relative to 1950 baseline","section":"Details","hidden":false,"hero":false,"slider":null,"value":-3780.001492624922,"display":"-3,780.0015"}]},{"id":"radioactive-decay-remaining-mass","title":"Radioactive Decay Remaining Mass","description":"Calculate remaining mass of a radioactive substance after time elapsed.","category":"education","icon":"book-open","tags":["radioactive","mass"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.151Z"},"rows":[{"text":"initial_mass = 100 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"half_life = 5730 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":5730,"display":"5,730"},{"text":"time_elapsed = 1000 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"_decay_constant = ln(2) / half_life","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0.00012096809433855938,"display":"0.000121"},{"text":"@hero remaining_mass = initial_mass * exp(-decay_constant * time_elapsed) // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":true,"slider":null,"value":88.60622295433987,"display":"88.6062"}]},{"id":"radioactive-decay","title":"Radioactive Decay","description":"Model exponential decay with half-life calculations and timeline projections.","category":"science","icon":"atom","tags":["radioactive","half-life"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.151Z"},"rows":[{"text":"# Isotope Info","label":null,"prefix":null,"suffix":null,"section":"Isotope Info","hero":false,"slider":null,"value":null,"display":null},{"text":"half life = 5730 // years 1..100k","label":null,"prefix":null,"suffix":"years","section":"Isotope Info","hidden":false,"hero":false,"slider":{"min":1,"max":100000,"step":1000},"value":5730,"display":"5,730"},{"text":"initial amount = 100 // g 1..10k","label":null,"prefix":null,"suffix":"g","section":"Isotope Info","hidden":false,"hero":false,"slider":{"min":1,"max":10000,"step":100},"value":100,"display":"100"},{"text":"time elapsed = 10000 // years 0..200k","label":null,"prefix":null,"suffix":"years","section":"Isotope Info","hidden":false,"hero":false,"slider":{"min":0,"max":200000,"step":2000},"value":10000,"display":"10,000"},{"text":"# Decay Calculation","label":null,"prefix":null,"suffix":null,"section":"Decay Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"decay constant = ln(2) / half life","label":null,"prefix":null,"suffix":null,"section":"Decay Calculation","hidden":false,"hero":false,"slider":null,"value":0.00012096809433855938,"display":"0.000121"},{"text":"amount remaining = initial amount * E^(-decay constant * time elapsed) // g @hero","label":null,"prefix":null,"suffix":"g","section":"Decay Calculation","hidden":false,"hero":true,"slider":null,"value":29.829243642371445,"display":"29.8292"},{"text":"amount decayed = initial amount - amount remaining // g","label":null,"prefix":null,"suffix":"g","section":"Decay Calculation","hidden":false,"hero":false,"slider":null,"value":70.17075635762856,"display":"70.1708"},{"text":"percentage remaining = (amount remaining / initial amount) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Decay Calculation","hidden":false,"hero":false,"slider":null,"value":29.829243642371445,"display":"29.8292"},{"text":"# Timeline","label":null,"prefix":null,"suffix":null,"section":"Timeline","hero":false,"slider":null,"value":null,"display":null},{"text":"number of half lives = time elapsed / half life","label":null,"prefix":null,"suffix":null,"section":"Timeline","hidden":false,"hero":false,"slider":null,"value":1.7452006980802792,"display":"1.7452"},{"text":"time until 1 pct remains = -ln(0.01) / decay constant // years","label":null,"prefix":null,"suffix":"years","section":"Timeline","hidden":false,"hero":false,"slider":null,"value":38069.29596740917,"display":"38,069.296"}]},{"id":"raid-rebuild-time-estimator","title":"Raid Rebuild Time Estimator","description":"Estimate RAID array rebuild time in hours from drive size and speed.","category":"productivity","icon":"clock","tags":["raid","productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.151Z"},"rows":[{"text":"drive_size_terabytes = 8","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8,"display":"8"},{"text":"rebuild_speed_megabytes_per_second = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"total_megabytes = drive_size_terabytes * 1000000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":8000000,"display":"8,000,000"},{"text":"@hero rebuild_time_hours = total_megabytes / (rebuild_speed_megabytes_per_second * 3600)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":22.22222222222222,"display":"22.2222"}]},{"id":"rain-drop-count-on-roof","title":"Rain Drop Count On Roof","description":"Estimate the number of raindrops falling on a roof during rainfall.","category":"everyday","icon":"smile","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.151Z"},"rows":[{"text":"roof_area_m2 = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"rainfall_mm = 10","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"drop_volume_ml = 0.05","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.05,"display":"0.05"},{"text":"total_water_ml = roof_area_m2 * rainfall_mm * 1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000000,"display":"1,000,000"},{"text":"number_of_drops = total_water_ml / drop_volume_ml","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":20000000,"display":"20,000,000"}]},{"id":"rainfall-harvesting-volume","title":"Rainfall Harvesting Volume","description":"Calculate harvested rainwater in gallons from roof area and rainfall.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.151Z"},"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 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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":"2026-05-19T03:36:31.152Z"},"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":"2026-05-19T03:36:31.152Z"},"rows":[{"text":"# Income","label":null,"prefix":null,"suffix":null,"section":"Income","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly take home pay = 5000 // 1k..30k by 100","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":{"min":1000,"max":30000,"step":100},"value":5000,"display":"$5,000.00"},{"text":"$other monthly income = 0 // 0..10k by 50","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":{"min":0,"max":10000,"step":50},"value":0,"display":"$0.00"},{"text":"$total monthly income = monthly take home pay + other monthly income","label":null,"prefix":"$","suffix":null,"section":"Income","hidden":false,"hero":false,"slider":null,"value":5000,"display":"$5,000.00"},{"text":"# Affordability Rules","label":null,"prefix":null,"suffix":null,"section":"Affordability Rules","hero":false,"slider":null,"value":null,"display":null},{"text":"$max rent 30 pct rule = total monthly income * 0.30 // @hero @label(Max Rent (30% Rule))","label":"Max Rent (30% Rule)","prefix":"$","suffix":null,"section":"Affordability Rules","hidden":false,"hero":true,"slider":null,"value":1500,"display":"$1,500.00"},{"text":"$conservative 25 pct rule = total monthly income * 0.25 // @label(Conservative (25% Rule))","label":"Conservative (25% Rule)","prefix":"$","suffix":null,"section":"Affordability Rules","hidden":false,"hero":false,"slider":null,"value":1250,"display":"$1,250.00"},{"text":"$nyc standard 40x rule = total monthly income * 12 / 40 // @label(NYC Standard (40x Rule))","label":"NYC Standard (40x Rule)","prefix":null,"suffix":null,"section":"Affordability Rules","hidden":false,"hero":false,"slider":null,"value":null,"display":null},{"text":"# With Expenses","label":null,"prefix":null,"suffix":null,"section":"With Expenses","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly debt payments = 300 // 0..5k by 25","label":null,"prefix":"$","suffix":null,"section":"With Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":25},"value":300,"display":"$300.00"},{"text":"$after debts = total monthly income - monthly debt payments","label":null,"prefix":"$","suffix":null,"section":"With Expenses","hidden":false,"hero":false,"slider":null,"value":4700,"display":"$4,700.00"},{"text":"$affordable rent after debts = after debts * 0.30 // @label(Affordable Rent (30% After Debts))","label":"Affordable Rent (30% After Debts)","prefix":"$","suffix":null,"section":"With Expenses","hidden":false,"hero":false,"slider":null,"value":1410,"display":"$1,410.00"},{"text":"# Annual Impact","label":null,"prefix":null,"suffix":null,"section":"Annual Impact","hero":false,"slider":null,"value":null,"display":null},{"text":"$rent you are considering = 1500 // 300..10k by 50","label":null,"prefix":"$","suffix":null,"section":"Annual Impact","hidden":false,"hero":false,"slider":{"min":300,"max":10000,"step":50},"value":1500,"display":"$1,500.00"},{"text":"rent as pct of income = (rent you are considering / total monthly income) * 100 // %","label":null,"prefix":null,"suffix":"%","section":"Annual Impact","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"$remaining after rent and debts = total monthly income - rent you are considering - monthly debt payments","label":null,"prefix":"$","suffix":null,"section":"Annual Impact","hidden":false,"hero":false,"slider":null,"value":3200,"display":"$3,200.00"}]},{"id":"rent-to-value-ratio","title":"Rent-to-Value Ratio","description":"Determine the relationship between monthly rent and property price.","category":"real-estate","icon":"percent","tags":["rent"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.153Z"},"rows":[{"text":"monthlyRent = 1500 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":1500,"display":"1,500"},{"text":"propertyValue = 200000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":200000,"display":"200,000"},{"text":"rentToValueRatio = (monthlyRent / propertyValue) * 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.75,"display":"0.75"}]},{"id":"rent-vs-buy","title":"Rent vs Buy","description":"Compare the monthly cost of renting versus buying a home.","category":"finance","icon":"home","tags":["rent","housing"],"featured":true,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.153Z"},"rows":[{"text":"# Renting","label":null,"prefix":null,"suffix":null,"section":"Renting","hero":false,"slider":null,"value":null,"display":null},{"text":"$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":"2026-05-19T03:36:31.153Z"},"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 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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":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.153Z"},"rows":[{"text":"# Property Details","label":null,"prefix":null,"suffix":null,"section":"Property Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$purchase price = 250000 // 50k..2M by 5k","label":null,"prefix":"$","suffix":null,"section":"Property Details","hidden":false,"hero":false,"slider":{"min":50000,"max":2000000,"step":5000},"value":250000,"display":"$250,000.00"},{"text":"$monthly rent = 1800 // 200..10k by 50","label":null,"prefix":"$","suffix":null,"section":"Property Details","hidden":false,"hero":false,"slider":{"min":200,"max":10000,"step":50},"value":1800,"display":"$1,800.00"},{"text":"# Expenses","label":null,"prefix":null,"suffix":null,"section":"Expenses","hero":false,"slider":null,"value":null,"display":null},{"text":"$monthly expenses = 400 // 0..3k by 25 @label(Monthly Expenses (maintenance, insurance, tax))","label":"Monthly Expenses (maintenance, insurance, tax)","prefix":"$","suffix":null,"section":"Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":3000,"step":25},"value":400,"display":"$400.00"},{"text":"vacancy rate = 8 // % 0..30","label":null,"prefix":null,"suffix":"%","section":"Expenses","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":8,"display":"8"},{"text":"# Annual Income","label":null,"prefix":null,"suffix":null,"section":"Annual Income","hero":false,"slider":null,"value":null,"display":null},{"text":"$gross annual rent = monthly rent * 12","label":null,"prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":21600,"display":"$21,600.00"},{"text":"$effective rent = gross annual rent * (1 - vacancy rate / 100) // @label(Effective Rent (after vacancy))","label":"Effective Rent (after vacancy)","prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":19872,"display":"$19,872.00"},{"text":"$annual expenses = monthly expenses * 12","label":null,"prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":4800,"display":"$4,800.00"},{"text":"$net operating income = effective rent - annual expenses","label":null,"prefix":"$","suffix":null,"section":"Annual Income","hidden":false,"hero":false,"slider":null,"value":15072,"display":"$15,072.00"},{"text":"# Returns","label":null,"prefix":null,"suffix":null,"section":"Returns","hero":false,"slider":null,"value":null,"display":null},{"text":"annual yield = round(net operating income / purchase price * 100 * 100) / 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Returns","hidden":false,"hero":true,"slider":null,"value":6.03,"display":"6.03"},{"text":"$monthly cash flow = round(net operating income / 12 * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Returns","hidden":false,"hero":false,"slider":null,"value":1256,"display":"$1,256.00"}]},{"id":"reorder-point","title":"Reorder Point","description":"Determine the inventory level at which a new order should be placed.","category":"business","icon":"alert-circle","tags":["business"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.153Z"},"rows":[{"text":"leadTimeInDays = 10 // days","label":null,"prefix":null,"suffix":"days","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"averageDailyUsage = 50 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"safetyStockLevel = 200 // units","label":null,"prefix":null,"suffix":"units","section":null,"hidden":false,"hero":false,"slider":null,"value":200,"display":"200"},{"text":"reorderPointValue = (leadTimeInDays * averageDailyUsage) + safetyStockLevel","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":700,"display":"700"}]},{"id":"resilience-quotient","title":"Resilience Quotient","description":"Calculate a resilience score from problem solving, social support, and self-efficacy.","category":"health","icon":"brain","tags":["health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.153Z"},"rows":[{"text":"# Your Day","label":null,"prefix":null,"suffix":null,"section":"Your Day","hero":false,"slider":null,"value":null,"display":null},{"text":"awake hours = 16 // hr 0..24","label":null,"prefix":null,"suffix":"hr","section":"Your Day","hidden":false,"hero":false,"slider":{"min":0,"max":24,"step":1},"value":16,"display":"16"},{"text":"sleep hours = 8 // hr 0..16 by 0.5","label":null,"prefix":null,"suffix":"hr","section":"Your Day","hidden":false,"hero":false,"slider":{"min":0,"max":16,"step":0.5},"value":8,"display":"8"},{"text":"# Breathing Rates","label":null,"prefix":null,"suffix":null,"section":"Breathing Rates","hero":false,"slider":null,"value":null,"display":null},{"text":"awake rate = 17 // breaths/min 6..40","label":null,"prefix":null,"suffix":"breaths/min","section":"Breathing Rates","hidden":false,"hero":false,"slider":{"min":6,"max":40,"step":1},"value":17,"display":"17"},{"text":"sleep rate = 12 // breaths/min 4..30","label":null,"prefix":null,"suffix":"breaths/min","section":"Breathing Rates","hidden":false,"hero":false,"slider":{"min":4,"max":30,"step":1},"value":12,"display":"12"},{"text":"# Daily Breaths","label":null,"prefix":null,"suffix":null,"section":"Daily Breaths","hero":false,"slider":null,"value":null,"display":null},{"text":"awake breaths = awake hours * 60 * awake rate","label":null,"prefix":null,"suffix":null,"section":"Daily Breaths","hidden":false,"hero":false,"slider":null,"value":16320,"display":"16,320"},{"text":"sleep breaths = sleep hours * 60 * sleep rate","label":null,"prefix":null,"suffix":null,"section":"Daily Breaths","hidden":false,"hero":false,"slider":null,"value":5760,"display":"5,760"},{"text":"total daily breaths = awake breaths + sleep breaths // @hero @label(Breaths per day)","label":"Breaths per day","prefix":null,"suffix":null,"section":"Daily Breaths","hidden":false,"hero":true,"slider":null,"value":22080,"display":"22,080"},{"text":"# Longer Spans","label":null,"prefix":null,"suffix":null,"section":"Longer Spans","hero":false,"slider":null,"value":null,"display":null},{"text":"yearly breaths = total daily breaths * 365 // @label(Breaths per year)","label":"Breaths per year","prefix":null,"suffix":null,"section":"Longer Spans","hidden":false,"hero":false,"slider":null,"value":8059200,"display":"8,059,200"},{"text":"lifetime years = 80 // years 1..120","label":null,"prefix":null,"suffix":"years","section":"Longer Spans","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":80,"display":"80"},{"text":"lifetime breaths = total daily breaths * 365 * lifetime years","label":null,"prefix":null,"suffix":null,"section":"Longer Spans","hidden":false,"hero":false,"slider":null,"value":644736000,"display":"644,736,000"},{"text":"# Air Volume","label":null,"prefix":null,"suffix":null,"section":"Air Volume","hero":false,"slider":null,"value":null,"display":null},{"text":"_tidal_volume_ml = 500 // mL","label":null,"prefix":null,"suffix":"mL","section":"Air Volume","hidden":true,"hero":false,"slider":null,"value":500,"display":"500"},{"text":"daily air liters = round(total daily breaths * tidal_volume_ml / 1000) // @label(Air moved per day)","label":"Air moved per day","prefix":null,"suffix":null,"section":"Air Volume","hidden":false,"hero":false,"slider":null,"value":11040,"display":"11,040"}]},{"id":"restricted-stock-unit-rsu-tax","title":"Restricted Stock Unit Rsu Tax","description":"Calculate net RSU value after tax withholding from shares and price.","category":"finance","icon":"dollar-sign","tags":["stock","unit","tax","finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.153Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"rows":[{"text":"red = 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":255,"display":"255"},{"text":"green = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"blue = 0","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_r_prime = red / 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"_g_prime = green / 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_b_prime = blue / 255","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"_k = 1 - max(r_prime, g_prime, b_prime)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":true,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"@hero cyan_percent = (1 - r_prime - k) / (1 - k) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"},{"text":"@hero magenta_percent = (1 - g_prime - k) / (1 - k) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"@hero yellow_percent = (1 - b_prime - k) / (1 - k) * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":100,"display":"100"},{"text":"@hero black_percent = k * 100 // @suffix(%)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0,"display":"0"}]},{"id":"rhombus-area","title":"Rhombus Area","description":"Find the area of a rhombus from its diagonals: A = ½ × d₁ × d₂.","category":"formulas","icon":"square","tags":["geometry"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"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":"2026-05-19T03:36:31.154Z"},"rows":[{"text":"# 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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 / 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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 - 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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":"2026-05-19T03:36:31.156Z"},"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 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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":"2026-05-19T03:36:31.156Z"},"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":"$","suffix":null,"section":"Self Employment 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100)","label":null,"prefix":"$","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 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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":"2026-05-19T03:36:31.157Z"},"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":"2026-05-19T03:36:31.157Z"},"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":"2026-05-19T03:36:31.157Z"},"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":"2026-05-19T03:36:31.157Z"},"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":"2026-05-19T03:36:31.157Z"},"rows":[{"text":"# Recipe Details","label":null,"prefix":null,"suffix":null,"section":"Recipe Details","hero":false,"slider":null,"value":null,"display":null},{"text":"servings = 6 // 1..24","label":null,"prefix":null,"suffix":null,"section":"Recipe Details","hidden":false,"hero":false,"slider":{"min":1,"max":24,"step":1},"value":6,"display":"6"},{"text":"# Ingredients & Costs","label":null,"prefix":null,"suffix":null,"section":"Ingredients & Costs","hero":false,"slider":null,"value":null,"display":null},{"text":"chicken = 2 // lbs 0..10 by 0.25","label":null,"prefix":null,"suffix":"lbs","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.25},"value":2,"display":"2"},{"text":"chicken price = $4.99 // /lb 1..15","label":null,"prefix":"$","suffix":"/lb","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":1,"max":15,"step":0.2},"value":4.99,"display":"$4.99"},{"text":"vegetables = 1.5 // lbs 0..10 by 0.25","label":null,"prefix":null,"suffix":"lbs","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.25},"value":1.5,"display":"1.5"},{"text":"vegetable price = $2.99 // /lb 0.5..10","label":null,"prefix":"$","suffix":"/lb","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0.5,"max":10,"step":0.1},"value":2.99,"display":"$2.99"},{"text":"rice = 1 // lbs 0..5 by 0.25","label":null,"prefix":null,"suffix":"lbs","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":5,"step":0.25},"value":1,"display":"1"},{"text":"rice price = $1.49 // /lb 0.5..10","label":null,"prefix":"$","suffix":"/lb","section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0.5,"max":10,"step":0.1},"value":1.49,"display":"$1.49"},{"text":"spices and other = $1.50 // 0..10 by 0.25","label":null,"prefix":"$","suffix":null,"section":"Ingredients & Costs","hidden":false,"hero":false,"slider":{"min":0,"max":10,"step":0.25},"value":1.5,"display":"$1.50"},{"text":"# Total Cost","label":null,"prefix":null,"suffix":null,"section":"Total Cost","hero":false,"slider":null,"value":null,"display":null},{"text":"chicken cost = $chicken * chicken_price","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":9.98,"display":"$9.98"},{"text":"vegetable cost = $vegetables * vegetable_price","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":4.485,"display":"$4.49"},{"text":"rice cost = $rice * rice_price","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":1.49,"display":"$1.49"},{"text":"total recipe cost = $chicken_cost + vegetable_cost + rice_cost + spices_and_other","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":false,"slider":null,"value":17.455,"display":"$17.46"},{"text":"cost per serving = $total_recipe_cost / servings","label":null,"prefix":"$","suffix":null,"section":"Total Cost","hidden":false,"hero":true,"slider":null,"value":2.9091666666666667,"display":"$2.91"}]},{"id":"settlement-value-multiplier","title":"Settlement Value Multiplier","description":"Estimate potential legal settlements using common multipliers.","category":"other","icon":"dollar-sign","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.157Z"},"rows":[{"text":"medicalExpenses = 15000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":15000,"display":"15,000"},{"text":"painAndSufferingMultiplier = 3 // multiplier","label":null,"prefix":null,"suffix":"multiplier","section":null,"hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"estimatedSettlement = medicalExpenses * painAndSufferingMultiplier","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":45000,"display":"45,000"}]},{"id":"severance-pay-calculator","title":"Severance Pay Calculator","description":"Calculate severance package from years of service, weeks per year, and salary.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.157Z"},"rows":[{"text":"# Severance Details","label":null,"prefix":null,"suffix":null,"section":"Severance Details","hero":false,"slider":null,"value":null,"display":null},{"text":"years of service = 8 // years 1..40","label":null,"prefix":null,"suffix":"years","section":"Severance Details","hidden":false,"hero":false,"slider":{"min":1,"max":40,"step":1},"value":8,"display":"8"},{"text":"weeks of pay per year = 2 // weeks 0..4 by 0.5","label":null,"prefix":null,"suffix":"weeks","section":"Severance Details","hidden":false,"hero":false,"slider":{"min":0,"max":4,"step":0.5},"value":2,"display":"2"},{"text":"$current annual salary = 85000 // 20k..500k by 1k","label":null,"prefix":"$","suffix":null,"section":"Severance Details","hidden":false,"hero":false,"slider":{"min":20000,"max":500000,"step":1000},"value":85000,"display":"$85,000.00"},{"text":"$unused vacation days = 10 // days 0..30","label":null,"prefix":"$","suffix":"days","section":"Severance Details","hidden":false,"hero":false,"slider":{"min":0,"max":30,"step":1},"value":10,"display":"$10.00"},{"text":"# Calculations","label":null,"prefix":null,"suffix":null,"section":"Calculations","hero":false,"slider":null,"value":null,"display":null},{"text":"$_weekly_salary = current annual salary / 52","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":1634.6153846153845,"display":"$1,634.62"},{"text":"$_daily_rate = current annual salary / 260","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":326.9230769230769,"display":"$326.92"},{"text":"_total_weeks_severance = years of service * weeks of pay per year","label":null,"prefix":null,"suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":16,"display":"16"},{"text":"$_severance_pay = weekly_salary * total_weeks_severance","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":26153.846153846152,"display":"$26,153.85"},{"text":"$_vacation_payout = daily_rate * unused vacation days","label":null,"prefix":"$","suffix":null,"section":"Calculations","hidden":true,"hero":false,"slider":null,"value":3269.2307692307686,"display":"$3,269.23"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$estimated total severance package = severance_pay + vacation_payout // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":29423.076923076922,"display":"$29,423.08"},{"text":"$net after 30 percent tax = estimated total severance package * 0.7","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":20596.153846153844,"display":"$20,596.15"},{"text":"equivalent months of pay = estimated total severance package / (current annual salary / 12)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":4.153846153846153,"display":"4.1538"}]},{"id":"sharpe-ratio-investment","title":"Sharpe Ratio Investment","description":"Calculate the Sharpe ratio from portfolio return, risk-free rate, and volatility.","category":"math","icon":"ratio","tags":["investment","math"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.157Z"},"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":"2026-05-19T03:36:31.157Z"},"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":"2026-05-19T03:36:31.157Z"},"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":"2026-05-19T03:36:31.157Z"},"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 * 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(pendulum_length_meters / gravitational_acceleration) ** 0.5","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2.006407597847613,"display":"2.0064"},{"text":"correction_factor = 1 + (1 / 16) * angle_radians ** 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1.0019038556574267,"display":"1.0019"},{"text":"actual_period_seconds = small_angle_period * correction_factor","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2.010227508303879,"display":"2.0102"}]},{"id":"simple-pension-payout-estimate","title":"Simple Pension Payout Estimate","description":"Calculate monthly pension payout from years of service, salary, and multiplier.","category":"finance","icon":"dollar-sign","tags":["finance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.158Z"},"rows":[{"text":"years_of_service = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"average_salary = 90000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90000,"display":"90,000"},{"text":"pension_multiplier = 0.02","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.02,"display":"0.02"},{"text":"annual_pension = years_of_service * average_salary * pension_multiplier","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":45000,"display":"45,000"},{"text":"monthly_pension = annual_pension / 12","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":3750,"display":"3,750"}]},{"id":"sin-cos-tan","title":"Sin Cos Tan","description":"Compute sin, cos, and tan of an angle in 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weight lifted = 250 // kg 50..600","label":null,"prefix":null,"suffix":"kg","section":"Lifter Stats","hidden":false,"hero":false,"slider":{"min":50,"max":600,"step":1},"value":250,"display":"250"},{"text":"is male = 1 // dropdown({Male: 1, Female: 0})","label":null,"prefix":null,"suffix":null,"section":"Lifter Stats","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# Sinclair Parameters (World Record Weights)","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record Weights)","hero":false,"slider":null,"value":null,"display":null},{"text":"world record male = 174.393","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record Weights)","hidden":false,"hero":false,"slider":null,"value":174.393,"display":"174.393"},{"text":"world record female = 153.655","label":null,"prefix":null,"suffix":null,"section":"Sinclair Parameters (World Record 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log10(body weight / world record female)","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hidden":false,"hero":false,"slider":null,"value":-0.2834567099602244,"display":"-0.2835"},{"text":"sinclair male = total weight lifted * (10^(coefficient a male * (log ratio male^2)))","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hidden":false,"hero":false,"slider":null,"value":304.8376066474854,"display":"304.8376"},{"text":"sinclair female = total weight lifted * (10^(coefficient a female * (log ratio female^2)))","label":null,"prefix":null,"suffix":null,"section":"Formula: 10^(A * (log10(x/M))^2)","hidden":false,"hero":false,"slider":null,"value":288.9962675973123,"display":"288.9963"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"sinclair score = is male * sinclair male + (1 - is male) * sinclair female // @hero 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Settings","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"source two reduction percent = 15 // %","label":null,"prefix":null,"suffix":"%","section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_multiplier_one = 1 - (source one reduction percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.9,"display":"0.9"},{"text":"_multiplier_two = 1 - (source two reduction percent / 100)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":0.85,"display":"0.85"},{"text":"final cooldown seconds = base cooldown seconds * multiplier_one * multiplier_two","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":45.9,"display":"45.9"}]},{"id":"skill-point-allocation-cost","title":"Skill Point Allocation Cost","description":"Calculate cost to allocate skill points.","category":"math","icon":"plus-circle","tags":["gaming","skill","points"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.158Z"},"rows":[{"text":"# Skill Settings","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"current skill level = 5","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"points to add = 3","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":3,"display":"3"},{"text":"base cost per point = 1","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"cost increase per level = 0.5","label":null,"prefix":null,"suffix":null,"section":"Skill Settings","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"_average_cost = base cost per point + (current skill level * cost increase per level)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":true,"hero":false,"slider":null,"value":3.5,"display":"3.5"},{"text":"total cost = points to add * average_cost","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":10.5,"display":"10.5"}]},{"id":"skydive-free-fall-distance","title":"Skydive Free Fall Distance","description":"Calculate total skydive free-fall distance in feet from time and average velocity.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.158Z"},"rows":[{"text":"fall_time_seconds = 60","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"average_velocity_feet_per_second = 176 // approx 120 mph","label":null,"prefix":null,"suffix":"approx 120 mph","section":null,"hidden":false,"hero":false,"slider":null,"value":176,"display":"176"},{"text":"@hero total_fall_distance_feet = fall_time_seconds * average_velocity_feet_per_second","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10560,"display":"10,560"}]},{"id":"sleep-calculator","title":"Sleep Calculator","description":"Find optimal bedtimes based on sleep cycles and wake-up 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@label(4 Cycles (6h) — bedtime in min past midnight)","label":"4 Cycles (6h) — bedtime in min past midnight","prefix":null,"suffix":"min","section":"Optimal Bedtimes","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"# Bedtime Hours","label":null,"prefix":null,"suffix":null,"section":"Bedtime Hours","hero":false,"slider":null,"value":null,"display":null},{"text":"bed hour 6 = floor(bedtime 6 cycles / 60) // hr @label(6 Cycles — Hour)","label":"6 Cycles — Hour","prefix":null,"suffix":"hr","section":"Bedtime Hours","hidden":false,"hero":false,"slider":null,"value":-3,"display":"-3"},{"text":"bed min 6 = bedtime 6 cycles - bed hour 6 * 60 // min @label(6 Cycles — Minute)","label":"6 Cycles — Minute","prefix":null,"suffix":"min","section":"Bedtime Hours","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"bed hour 5 = floor(bedtime 5 cycles / 60) // hr @label(5 Cycles — Hour)","label":"5 Cycles — 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meters","label":null,"prefix":null,"suffix":"meters","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"@hero new_sound_level_db = source_sound_level_db - 20 * log10(new_distance_meters / initial_distance_meters) // dB","label":null,"prefix":null,"suffix":"dB","section":null,"hidden":false,"hero":true,"slider":null,"value":80,"display":"80"}]},{"id":"sound-pressure-level","title":"Sound Pressure Level","description":"Calculate sound pressure level in decibels from measured pressure.","category":"science","icon":"flask-conical","tags":["science"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.160Z"},"rows":[{"text":"# Sound Stats","label":null,"prefix":null,"suffix":null,"section":"Sound Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"measured pressure = 0.5 // pascals 0.00002..200","label":null,"prefix":null,"suffix":"pascals","section":"Sound 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Benchmarks","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hero":false,"slider":null,"value":null,"display":null},{"text":"whisper = 30","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"normal conversation = 60","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":60,"display":"60"},{"text":"power lawn mower = 90","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"jet engine = 140","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":140,"display":"140"},{"text":"pain threshold = 130","label":null,"prefix":null,"suffix":null,"section":"Benchmarks","hidden":false,"hero":false,"slider":null,"value":130,"display":"130"}]},{"id":"sound-wave-interference-patterns","title":"Sound Wave Interference Patterns","description":"Calculate path difference for constructive interference of sound waves.","category":"education","icon":"book-open","tags":["education"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.160Z"},"rows":[{"text":"frequency = 440 // Hz","label":null,"prefix":null,"suffix":"Hz","section":null,"hidden":false,"hero":false,"slider":null,"value":440,"display":"440"},{"text":"speed_of_sound = 343 // meters per second","label":null,"prefix":null,"suffix":"meters per second","section":null,"hidden":false,"hero":false,"slider":null,"value":343,"display":"343"},{"text":"distance_between_sources = 2 // 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50","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"feeding_ratio_parts_flour = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"feeding_ratio_parts_water = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"flour_to_add_grams = existing_starter_grams * feeding_ratio_parts_flour","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"water_to_add_grams = existing_starter_grams * feeding_ratio_parts_water","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"total_starter_weight_after_feeding = existing_starter_grams + flour_to_add_grams + water_to_add_grams","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":150,"display":"150"}]},{"id":"sous-vide-pasteurization-time","title":"Sous Vide Pasteurization Time","description":"Estimate sous vide pasteurization time from meat thickness and type.","category":"productivity","icon":"clock","tags":["productivity"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.161Z"},"rows":[{"text":"meat_thickness_millimeters = 25","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"meat_type_beef = 1 // dropdown({Beef/Pork: 1, Poultry: 1.5})","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"@hero pasteurization_time_minutes = (meat_thickness_millimeters^2 / 10) * meat_type_beef","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":62.5,"display":"62.5"}]},{"id":"specific-heat-energy-transfer","title":"Specific Heat Energy Transfer","description":"Calculate heat energy transferred from mass, specific heat, and temperature change.","category":"education","icon":"book-open","tags":["heat"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.161Z"},"rows":[{"text":"mass = 0.5 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"specific_heat = 4186 // J/kg*C (water)","label":null,"prefix":null,"suffix":"J/kg*C (water)","section":null,"hidden":false,"hero":false,"slider":null,"value":4186,"display":"4,186"},{"text":"temperature_change = 20 // Celsius","label":null,"prefix":null,"suffix":"Celsius","section":null,"hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"@hero heat_energy_q = mass * specific_heat * temperature_change // Joules","label":null,"prefix":null,"suffix":"Joules","section":null,"hidden":false,"hero":true,"slider":null,"value":41860,"display":"41,860"}]},{"id":"speed-converter","title":"Speed Converter","description":"Convert mph to km/h, m/s, knots, and see Mach number comparisons.","category":"conversion","icon":"gauge","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.161Z"},"rows":[{"text":"# Input Speed","label":null,"prefix":null,"suffix":null,"section":"Input Speed","hero":false,"slider":null,"value":null,"display":null},{"text":"miles per hour = 60 // mph 1..500","label":null,"prefix":null,"suffix":"mph","section":"Input Speed","hidden":false,"hero":false,"slider":{"min":1,"max":500,"step":1},"value":60,"display":"60"},{"text":"# 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year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":2024,"display":"2,024"},{"text":"limitationYears = 4 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"deadlineYear = breachYear + limitationYears","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2028,"display":"2,028"}]},{"id":"statute-of-limitations-personal-injury","title":"Statute of Limitations (Injury)","description":"Estimate the legal deadline for filing a personal injury claim.","category":"other","icon":"clock","tags":["statute"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.162Z"},"rows":[{"text":"incidentYear = 2024 // year","label":null,"prefix":null,"suffix":"year","section":null,"hidden":false,"hero":false,"slider":null,"value":2024,"display":"2,024"},{"text":"limitationYears = 2 // years","label":null,"prefix":null,"suffix":"years","section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"deadlineYear = incidentYear + limitationYears","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":2026,"display":"2,026"}]},{"id":"step-count-to-miles","title":"Step Count To Miles","description":"Convert a daily step count to miles based on stride length.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.162Z"},"rows":[{"text":"step_count = 10000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":10000,"display":"10,000"},{"text":"stride_length_inches = 30","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"@hero distance_miles = (step_count * stride_length_inches) / (12 * 5280)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":4.734848484848484,"display":"4.7348"}]},{"id":"stock-return","title":"Stock Return","description":"Project investment growth with monthly contributions.","category":"finance","icon":"trending-up","tags":["stock","investment","compound"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.162Z"},"rows":[{"text":"# Investment Details","label":null,"prefix":null,"suffix":null,"section":"Investment Details","hero":false,"slider":null,"value":null,"display":null},{"text":"$initial investment = 10000 // 100..500k","label":null,"prefix":"$","suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":100,"max":500000,"step":5000},"value":10000,"display":"$10,000.00"},{"text":"annual return = 8 // % 1..30","label":null,"prefix":null,"suffix":"%","section":"Investment Details","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":8,"display":"8"},{"text":"years = 20 // 1..50","label":null,"prefix":null,"suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":1,"max":50,"step":1},"value":20,"display":"20"},{"text":"$monthly contribution = 500 // 0..5k","label":null,"prefix":"$","suffix":null,"section":"Investment Details","hidden":false,"hero":false,"slider":{"min":0,"max":5000,"step":50},"value":500,"display":"$500.00"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"monthly rate = annual return / 100 / 12","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":0.006666666666666667,"display":"0.006667"},{"text":"total months = years * 12","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"$growth of initial = round(initial investment * (1 + monthly rate)^total months * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":49268.03,"display":"$49,268.03"},{"text":"$growth of contributions = round(monthly contribution * ((1 + monthly rate)^total months - 1) / monthly rate * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Calculation","hidden":false,"hero":false,"slider":null,"value":294510.21,"display":"$294,510.21"},{"text":"# Results","label":null,"prefix":null,"suffix":null,"section":"Results","hero":false,"slider":null,"value":null,"display":null},{"text":"$future value = growth of initial + growth of contributions // @hero","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":true,"slider":null,"value":343778.24,"display":"$343,778.24"},{"text":"$total contributed = initial investment + monthly contribution * total months","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":130000,"display":"$130,000.00"},{"text":"$total earnings = round((future value - total contributed) * 100) / 100","label":null,"prefix":"$","suffix":null,"section":"Results","hidden":false,"hero":false,"slider":null,"value":213778.24,"display":"$213,778.24"}]},{"id":"storage-days-cctv-resolution","title":"Storage Days Cctv Resolution","description":"Estimate days of CCTV storage capacity from camera count, bitrate, and disk size.","category":"health","icon":"activity","tags":["storage","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.162Z"},"rows":[{"text":"number_of_cameras = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"bitrate_megabits_per_second = 4","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"storage_capacity_terabytes = 2","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"daily_storage_gb = (number_of_cameras * bitrate_megabits_per_second * 3600 * 24) / 8000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":172.8,"display":"172.8"},{"text":"@hero estimated_days_storage = (storage_capacity_terabytes * 1000) / daily_storage_gb","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":11.574074074074074,"display":"11.5741"}]},{"id":"storage-estimator","title":"Storage Estimator","description":"Estimate storage needs for photos, videos, and documents with cloud costs.","category":"programming","icon":"hard-drive","tags":["storage","disk","cloud"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.162Z"},"rows":[{"text":"# Data Sources","label":null,"prefix":null,"suffix":null,"section":"Data Sources","hero":false,"slider":null,"value":null,"display":null},{"text":"number of photos = 5000 // 100..100k","label":null,"prefix":null,"suffix":null,"section":"Data Sources","hidden":false,"hero":false,"slider":{"min":100,"max":100000,"step":1000},"value":5000,"display":"5,000"},{"text":"average photo size = 5 // MB 1..30","label":null,"prefix":null,"suffix":"MB","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":1,"max":30,"step":1},"value":5,"display":"5"},{"text":"hours of video = 10 // hours 0..500","label":null,"prefix":null,"suffix":"hours","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":0,"max":500,"step":1},"value":10,"display":"10"},{"text":"video bitrate = 20 // Mbps 5..100","label":null,"prefix":null,"suffix":"Mbps","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":5,"max":100,"step":1},"value":20,"display":"20"},{"text":"number of documents = 1000 // 10..50k","label":null,"prefix":null,"suffix":null,"section":"Data Sources","hidden":false,"hero":false,"slider":{"min":10,"max":50000,"step":500},"value":1000,"display":"1,000"},{"text":"average document size = 0.5 // MB 0.1..10","label":null,"prefix":null,"suffix":"MB","section":"Data Sources","hidden":false,"hero":false,"slider":{"min":0.1,"max":10,"step":0.1},"value":0.5,"display":"0.5"},{"text":"# Storage Needed","label":null,"prefix":null,"suffix":null,"section":"Storage Needed","hero":false,"slider":null,"value":null,"display":null},{"text":"photo storage = number_of_photos * average_photo_size / 1000 // GB","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":false,"slider":null,"value":25,"display":"25"},{"text":"video storage = hours_of_video * 3600 * video_bitrate / 8 / 1000 // GB","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"document storage = number_of_documents * average_document_size / 1000 // GB","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"total storage needed = photo_storage + video_storage + document_storage // GB @hero","label":null,"prefix":null,"suffix":"GB","section":"Storage Needed","hidden":false,"hero":true,"slider":null,"value":115.5,"display":"115.5"},{"text":"# Recommendations","label":null,"prefix":null,"suffix":null,"section":"Recommendations","hero":false,"slider":null,"value":null,"display":null},{"text":"with 1x backup = total_storage_needed * 2 // GB","label":null,"prefix":null,"suffix":"GB","section":"Recommendations","hidden":false,"hero":false,"slider":null,"value":231,"display":"231"},{"text":"cloud cost per month = $total_storage_needed * 0.023 // @label(Cloud Cost (S3 standard, $/mo))","label":"Cloud Cost (S3 standard, $/mo)","prefix":"$","suffix":null,"section":"Recommendations","hidden":false,"hero":false,"slider":null,"value":2.6565,"display":"$2.66"}]},{"id":"storm-drain-capacity","title":"Storm Drain Capacity","description":"Calculate storm drain flow capacity in cubic feet per second using Manning's equation.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.162Z"},"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":"2026-05-19T03:36:31.163Z"},"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":"2026-05-19T03:36:31.163Z"},"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":"2026-05-19T03:36:31.163Z"},"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":"2026-05-19T03:36:31.163Z"},"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":"2026-05-19T03:36:31.163Z"},"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":"2026-05-19T03:36:31.163Z"},"rows":[{"text":"# Sphere","label":null,"prefix":null,"suffix":null,"section":"Sphere","hero":false,"slider":null,"value":null,"display":null},{"text":"radius km = 6371 // km 1..100k","label":null,"prefix":null,"suffix":"km","section":"Sphere","hidden":false,"hero":false,"slider":{"min":1,"max":100000,"step":1000},"value":6371,"display":"6,371"},{"text":"# Total Surface","label":null,"prefix":null,"suffix":null,"section":"Total Surface","hero":false,"slider":null,"value":null,"display":null},{"text":"earth area km2 = 4 * pi * radius km^2 // km² @label(Total surface area)","label":"Total surface area","prefix":null,"suffix":"km²","section":"Total Surface","hidden":false,"hero":false,"slider":null,"value":510064471.9097882,"display":"510,064,471.9098"},{"text":"# Coverage Fractions","label":null,"prefix":null,"suffix":null,"section":"Coverage Fractions","hero":false,"slider":null,"value":null,"display":null},{"text":"ocean fraction = 71 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Coverage Fractions","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":71,"display":"71"},{"text":"pacific fraction of ocean = 46 // % 0..100","label":null,"prefix":null,"suffix":"%","section":"Coverage Fractions","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":1},"value":46,"display":"46"},{"text":"# Areas","label":null,"prefix":null,"suffix":null,"section":"Areas","hero":false,"slider":null,"value":null,"display":null},{"text":"ocean area km2 = earth area km2 * ocean fraction / 100 // km² @label(All oceans)","label":"All oceans","prefix":null,"suffix":"km²","section":"Areas","hidden":false,"hero":false,"slider":null,"value":362145775.0559497,"display":"362,145,775.0559"},{"text":"pacific area km2 = ocean area km2 * pacific fraction of ocean / 100 // km² @hero @label(Pacific Ocean area)","label":"Pacific Ocean area","prefix":null,"suffix":"km²","section":"Areas","hidden":false,"hero":true,"slider":null,"value":166587056.52573687,"display":"166,587,056.5257"},{"text":"land area km2 = earth area km2 * (100 - ocean fraction) / 100 // km² @label(All continents combined)","label":"All continents combined","prefix":null,"suffix":"km²","section":"Areas","hidden":false,"hero":false,"slider":null,"value":147918696.8538386,"display":"147,918,696.8538"},{"text":"# Comparison","label":null,"prefix":null,"suffix":null,"section":"Comparison","hero":false,"slider":null,"value":null,"display":null},{"text":"pacific exceeds land by km2 = pacific area km2 - land area km2 // km² @label(Pacific minus all land)","label":"Pacific minus all land","prefix":null,"suffix":"km²","section":"Comparison","hidden":false,"hero":false,"slider":null,"value":18668359.67189826,"display":"18,668,359.6719"},{"text":"ratio = round(pacific area km2 / land area km2, 2) // @label(Pacific ÷ all land)","label":"Pacific ÷ all land","prefix":null,"suffix":null,"section":"Comparison","hidden":false,"hero":false,"slider":null,"value":1.13,"display":"1.13"}]},{"id":"suspension-spring-rate","title":"Suspension Spring Rate","description":"Calculate suspension spring rate.","category":"engineering","icon":"settings","tags":["automotive"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.163Z"},"rows":[{"text":"# Spring Specs","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hero":false,"slider":null,"value":null,"display":null},{"text":"wire diameter inches = 0.5","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":0.5,"display":"0.5"},{"text":"coil diameter inches = 4","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":4,"display":"4"},{"text":"active coils = 10","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"shear modulus = 11500000","label":null,"prefix":null,"suffix":null,"section":"Spring Specs","hidden":false,"hero":false,"slider":null,"value":11500000,"display":"11,500,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"spring rate pounds per inch = (shear modulus * (wire diameter inches ^ 4)) / (8 * (coil diameter inches ^ 3) * active coils)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":140.380859375,"display":"140.3809"}]},{"id":"sustainable-fish-harvest-limit","title":"Sustainable Fish Harvest","description":"Calculate Maximum Sustainable Yield (MSY) for fish stocks.","category":"science","icon":"fish","tags":["science","eco","ocean"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.163Z"},"rows":[{"text":"estimated_fish_biomass_tonnes = 5000 // tonnes","label":null,"prefix":null,"suffix":"tonnes","section":null,"hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"intrinsic_growth_rate = 0.2 // 20% growth","label":null,"prefix":null,"suffix":"20% growth","section":null,"hidden":false,"hero":false,"slider":null,"value":0.2,"display":"0.2"},{"text":"@hero maximum_sustainable_yield_tonnes = (intrinsic_growth_rate * estimated_fish_biomass_tonnes) / 4 // standard model MSY = rK/4","label":null,"prefix":null,"suffix":"standard model MSY = rK/4","section":null,"hidden":false,"hero":true,"slider":null,"value":250,"display":"250"}]},{"id":"sustainable-growth-rate","title":"Sustainable Growth Rate","description":"Calculate a company's sustainable growth rate from ROE and payout ratio.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.163Z"},"rows":[{"text":"return_on_equity = 0.15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"payout_ratio = 0.40","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":0.4,"display":"0.4"},{"text":"sustainable_growth = return_on_equity * (1 - payout_ratio)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":0.09,"display":"0.09"}]},{"id":"svg-viewbox-aspect-ratio-scaler","title":"Svg Viewbox Aspect Ratio Scaler","description":"Scale SVG viewBox dimensions while preserving aspect ratio.","category":"design","icon":"palette","tags":["aspect"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.163Z"},"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":"2026-05-19T03:36:31.163Z"},"rows":[{"text":"# Workout Info","label":null,"prefix":null,"suffix":null,"section":"Workout Info","hero":false,"slider":null,"value":null,"display":null},{"text":"weight = 180 // lbs 80..400","label":null,"prefix":null,"suffix":"lbs","section":"Workout Info","hidden":false,"hero":false,"slider":{"min":80,"max":400,"step":1},"value":180,"display":"180"},{"text":"duration = 30 // minutes 1..120","label":null,"prefix":null,"suffix":"minutes","section":"Workout Info","hidden":false,"hero":false,"slider":{"min":1,"max":120,"step":1},"value":30,"display":"30"},{"text":"is vigorous = 1 // dropdown({Vigorous: 1, Moderate: 0})","label":null,"prefix":null,"suffix":null,"section":"Workout Info","hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"# MET Values (Swimming)","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hero":false,"slider":null,"value":null,"display":null},{"text":"met moderate = 6.0","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hidden":false,"hero":false,"slider":null,"value":6,"display":"6"},{"text":"met vigorous = 10.0","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"active met = is vigorous * met vigorous + (1 - is vigorous) * met moderate","label":null,"prefix":null,"suffix":null,"section":"MET Values (Swimming)","hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"# Formula: (MET * 3.5 * weight_kg / 200) * minutes","label":null,"prefix":null,"suffix":null,"section":"Formula: (MET * 3.5 * weight_kg / 200) * minutes","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Formula: (MET * 3.5 * weight_kg / 200) * minutes","hidden":false,"hero":false,"slider":null,"value":81.64656,"display":"81.6466"},{"text":"calories burned = (active met * 3.5 * weight kg / 200) * duration // @hero","label":null,"prefix":null,"suffix":null,"section":"Formula: (MET * 3.5 * weight_kg / 200) * minutes","hidden":false,"hero":true,"slider":null,"value":428.64444,"display":"428.6444"},{"text":"# Comparisons","label":null,"prefix":null,"suffix":null,"section":"Comparisons","hero":false,"slider":null,"value":null,"display":null},{"text":"equivalent walking miles = calories burned / 100","label":null,"prefix":null,"suffix":null,"section":"Comparisons","hidden":false,"hero":false,"slider":null,"value":4.2864444,"display":"4.2864"},{"text":"laps in 25m pool = duration * 20 // estimate","label":null,"prefix":null,"suffix":"estimate","section":"Comparisons","hidden":false,"hero":false,"slider":null,"value":600,"display":"600"}]},{"id":"swimming-pool-salt-to-chlorine","title":"Swimming Pool Salt Dosage","description":"Calculate amount of salt to add to reach target ppm.","category":"everyday","icon":"waves","tags":["everyday","pool","maintenance"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.163Z"},"rows":[{"text":"pool_volume_liters = 50000 // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":false,"slider":null,"value":50000,"display":"50,000"},{"text":"current_salt_ppm = 2000 // ppm","label":null,"prefix":null,"suffix":"ppm","section":null,"hidden":false,"hero":false,"slider":null,"value":2000,"display":"2,000"},{"text":"target_salt_ppm = 3200 // ppm","label":null,"prefix":null,"suffix":"ppm","section":null,"hidden":false,"hero":false,"slider":null,"value":3200,"display":"3,200"},{"text":"salt_needed_grams = (target_salt_ppm - current_salt_ppm) * pool_volume_liters / 1000 // grams","label":null,"prefix":null,"suffix":"grams","section":null,"hidden":false,"hero":false,"slider":null,"value":60000,"display":"60,000"},{"text":"@hero salt_needed_kg = salt_needed_grams / 1000 // kg","label":null,"prefix":null,"suffix":"kg","section":null,"hidden":false,"hero":true,"slider":null,"value":60,"display":"60"}]},{"id":"swimming-stroke-rate","title":"Swimming Stroke Rate","description":"Calculate swimming stroke rate.","category":"health","icon":"activity","tags":["sports"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.163Z"},"rows":[{"text":"# Stats","label":null,"prefix":null,"suffix":null,"section":"Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"total strokes = 40","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":40,"display":"40"},{"text":"time seconds = 45","label":null,"prefix":null,"suffix":null,"section":"Stats","hidden":false,"hero":false,"slider":null,"value":45,"display":"45"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"strokes per minute = (total strokes / time seconds) * 60","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":53.33333333333332,"display":"53.3333"}]},{"id":"system-of-equations-2x2","title":"System of Equations 2×2","description":"Solve a 2×2 linear system using Cramer's rule.","category":"formulas","icon":"sigma","tags":["algebra"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.163Z"},"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 = 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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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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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F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":120,"display":"120"},{"text":"black tea = 240 // 212 F","label":null,"prefix":null,"suffix":"212 F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":240,"display":"240"},{"text":"herbal tea = 300 // 212 F","label":null,"prefix":null,"suffix":"212 F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":300,"display":"300"},{"text":"white tea = 180 // 185 F","label":null,"prefix":null,"suffix":"185 F","section":"Guidelines","hidden":false,"hero":false,"slider":null,"value":180,"display":"180"}]},{"id":"tectonic-plate-motion","title":"Tectonic Plate Motion","description":"Calculate total tectonic plate displacement in kilometers over millions of years.","category":"science","icon":"globe","tags":["motion"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.164Z"},"rows":[{"text":"velocity_centimeters_per_year = 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1000","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1000,"display":"1,000"},{"text":"aperture_millimeters = 100","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"@hero f_number = focal_length_millimeters / aperture_millimeters","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":10,"display":"10"}]},{"id":"telescope-magnification","title":"Telescope Magnification","description":"Calculate telescope magnification, exit pupil, and useful max from focal lengths.","category":"everyday","icon":"home","tags":["everyday"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.164Z"},"rows":[{"text":"# Telescope Stats","label":null,"prefix":null,"suffix":null,"section":"Telescope Stats","hero":false,"slider":null,"value":null,"display":null},{"text":"telescope focal 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K","label":null,"prefix":null,"suffix":"K","section":"Temperature","hidden":false,"hero":false,"slider":null,"value":295.3722222222222,"display":"295.3722"},{"text":"# Common Benchmarks","label":null,"prefix":null,"suffix":null,"section":"Common Benchmarks","hero":false,"slider":null,"value":null,"display":null},{"text":"body temperature F = 98.6 // °F","label":null,"prefix":null,"suffix":"°F","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":98.6,"display":"98.6"},{"text":"body temperature C = (body_temperature_F - 32) * 5 / 9 // °C","label":null,"prefix":null,"suffix":"°C","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":37,"display":"37"},{"text":"water freezes C = 0 // °C","label":null,"prefix":null,"suffix":"°C","section":"Common Benchmarks","hidden":false,"hero":false,"slider":null,"value":0,"display":"0"},{"text":"water freezes F = water_freezes_C * 9 / 5 + 32 // 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24","label":null,"prefix":null,"suffix":null,"section":"Larger Units","hidden":false,"hero":false,"slider":null,"value":0.10416666666666667,"display":"0.1042"},{"text":"weeks = hours / 168","label":null,"prefix":null,"suffix":null,"section":"Larger Units","hidden":false,"hero":false,"slider":null,"value":0.01488095238095238,"display":"0.0149"},{"text":"months approx = hours / 730","label":null,"prefix":null,"suffix":null,"section":"Larger Units","hidden":false,"hero":false,"slider":null,"value":0.003424657534246575,"display":"0.003425"},{"text":"# Smaller Units","label":null,"prefix":null,"suffix":null,"section":"Smaller Units","hero":false,"slider":null,"value":null,"display":null},{"text":"minutes = hours * 60 // min @hero","label":null,"prefix":null,"suffix":"min","section":"Smaller Units","hidden":false,"hero":true,"slider":null,"value":150,"display":"150"},{"text":"seconds = hours * 3600 // sec","label":null,"prefix":null,"suffix":"sec","section":"Smaller 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6000","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":6000,"display":"6,000"},{"text":"trailer weight = 5000","label":null,"prefix":null,"suffix":null,"section":"Weight Stats","hidden":false,"hero":false,"slider":null,"value":5000,"display":"5,000"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"remaining capacity = gross combined weight rating - (vehicle weight + trailer weight)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":4000,"display":"4,000"}]},{"id":"tracking-error-fund","title":"Tracking Error Fund","description":"Calculate tracking error between a portfolio and its 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0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Parallel sides and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":8,"display":"8"},{"text":"b = 12 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Parallel sides and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":12,"display":"12"},{"text":"height = 5 // 0.1..1k","label":null,"prefix":null,"suffix":null,"section":"Parallel sides and height","hidden":false,"hero":false,"slider":{"min":0.1,"max":1000,"step":10},"value":5,"display":"5"},{"text":"# Area","label":null,"prefix":null,"suffix":null,"section":"Area","hero":false,"slider":null,"value":null,"display":null},{"text":"area = ((a + b) * height) / 2","label":null,"prefix":null,"suffix":null,"section":"Area","hidden":false,"hero":true,"slider":null,"value":50,"display":"50"}]},{"id":"travel-packing-weight-limit","title":"Travel Packing Weight Limit","description":"Calculate remaining airline baggage allowance and percent of weight limit used.","category":"health","icon":"activity","tags":["travel","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.166Z"},"rows":[{"text":"# Airline Limits","label":null,"prefix":null,"suffix":null,"section":"Airline Limits","hero":false,"slider":null,"value":null,"display":null},{"text":"max weight kilograms = 23 // kg","label":null,"prefix":null,"suffix":"kg","section":"Airline Limits","hidden":false,"hero":false,"slider":null,"value":23,"display":"23"},{"text":"# Current Weight","label":null,"prefix":null,"suffix":null,"section":"Current Weight","hero":false,"slider":null,"value":null,"display":null},{"text":"suitcase weight = 4.5 // kg","label":null,"prefix":null,"suffix":"kg","section":"Current Weight","hidden":false,"hero":false,"slider":null,"value":4.5,"display":"4.5"},{"text":"clothes weight = 8.0 // kg","label":null,"prefix":null,"suffix":"kg","section":"Current 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@hero","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"},{"text":"percent of limit = (current_total_weight / max weight kilograms) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":78.2608695652174,"display":"78.2609"}]},{"id":"treadmill-calories-incline","title":"Treadmill Calories Incline","description":"Calculate treadmill calories burned from weight, speed, incline, and duration.","category":"health","icon":"activity","tags":["calories","health"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.166Z"},"rows":[{"text":"user_weight_kilograms = 80","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"speed_miles_per_hour = 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mm","label":null,"prefix":null,"suffix":"mm","section":null,"hidden":false,"hero":false,"slider":null,"value":50,"display":"50"},{"text":"drip_line_area = 3.14159 * canopy_radius_meters * canopy_radius_meters // m2","label":null,"prefix":null,"suffix":"m2","section":null,"hidden":false,"hero":false,"slider":null,"value":28.27431,"display":"28.2743"},{"text":"@hero weekly_water_volume_liters = drip_line_area * weekly_water_depth_mm // liters","label":null,"prefix":null,"suffix":"liters","section":null,"hidden":false,"hero":true,"slider":null,"value":1413.7155,"display":"1,413.7155"}]},{"id":"tree-oxygen-production","title":"Tree Oxygen Production","description":"See how much oxygen a tree produces per year.","category":"science","icon":"tree-pine","tags":["eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.167Z"},"rows":[{"text":"number_of_trees = 1","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"average_oxygen_per_tree_year = 117 // kg per year","label":null,"prefix":null,"suffix":"kg per year","section":null,"hidden":false,"hero":false,"slider":null,"value":117,"display":"117"},{"text":"@hero total_oxygen_produced_year = number_of_trees * average_oxygen_per_tree_year // kg per year","label":null,"prefix":null,"suffix":"kg per year","section":null,"hidden":false,"hero":true,"slider":null,"value":117,"display":"117"},{"text":"people_supported = total_oxygen_produced_year / 740 // 740kg oxygen per person per year","label":null,"prefix":null,"suffix":"740kg oxygen per person per year","section":null,"hidden":false,"hero":false,"slider":null,"value":0.1581081081081081,"display":"0.1581"}]},{"id":"tree-ring-age","title":"Tree Ring Age","description":"Estimate tree age from trunk diameter and species growth 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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":"2026-05-19T03:36:31.167Z"},"rows":[{"text":"# Triangle 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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":"2026-05-19T03:36:31.167Z"},"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 // 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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 / 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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":"2026-05-19T03:36:31.168Z"},"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":"2026-05-19T03:36:31.168Z"},"rows":[{"text":"turkey_weight_pounds = 15","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":15,"display":"15"},{"text":"thaw_method_fridge = 1 // dropdown({Refrigerator: 1, Cold Water: 0})","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":1,"display":"1"},{"text":"fridge_hours = (turkey_weight_pounds / 4) * 24","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":90,"display":"90"},{"text":"cold_water_hours = (turkey_weight_pounds * 0.5)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":false,"slider":null,"value":7.5,"display":"7.5"},{"text":"@hero total_thaw_hours = thaw_method_fridge ? fridge_hours : cold_water_hours","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":90,"display":"90"}]},{"id":"twitch-subscription-earnings","title":"Twitch Subscription Earnings","description":"Calculate net Twitch subscription revenue across three subscription tiers.","category":"other","icon":"calculator","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.168Z"},"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 = 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weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":26,"display":"26"},{"text":"weeksUsed = 10 // weeks","label":null,"prefix":null,"suffix":"weeks","section":null,"hidden":false,"hero":false,"slider":null,"value":10,"display":"10"},{"text":"weeksRemaining = totalWeeksEligible - weeksUsed","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":16,"display":"16"}]},{"id":"unit-circle-coordinates","title":"Unit Circle Coordinates","description":"Find (x, y) on the unit circle at a given angle: x = cos θ, y = sin θ.","category":"formulas","icon":"circle","tags":[],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.168Z"},"rows":[{"text":"# Angle in degrees","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hero":false,"slider":null,"value":null,"display":null},{"text":"angle = 60 // 0..360","label":null,"prefix":null,"suffix":null,"section":"Angle in degrees","hidden":false,"hero":false,"slider":{"min":0,"max":360,"step":1},"value":60,"display":"60"},{"text":"# Coordinates on unit circle","label":null,"prefix":null,"suffix":null,"section":"Coordinates on unit circle","hero":false,"slider":null,"value":null,"display":null},{"text":"x = cos(angle deg) // @hero @label(x = cos θ)","label":"x = cos θ","prefix":null,"suffix":null,"section":"Coordinates on unit circle","hidden":false,"hero":true,"slider":null,"value":0.5000000000000001,"display":"0.5"},{"text":"y = sin(angle deg) // @hero @label(y = sin θ)","label":"y = sin θ","prefix":null,"suffix":null,"section":"Coordinates on unit circle","hidden":false,"hero":true,"slider":null,"value":0.8660254037844386,"display":"0.866"}]},{"id":"unit-economics","title":"Unit Economics","description":"Calculate LTV, CAC ratio, and payback period for 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10","label":null,"prefix":"$","suffix":null,"section":"Acquisition","hidden":false,"hero":false,"slider":{"min":10,"max":5000,"step":10},"value":200,"display":"$200.00"},{"text":"# Lifetime Value","label":null,"prefix":null,"suffix":null,"section":"Lifetime Value","hero":false,"slider":null,"value":null,"display":null},{"text":"avg customer lifespan months = round(1 / (monthly churn rate / 100) * 10) / 10 // @label(Avg lifespan (months))","label":"Avg lifespan (months)","prefix":null,"suffix":null,"section":"Lifetime Value","hidden":false,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"$lifetime value = round(monthly revenue per user * avg customer lifespan months * 100) / 100 // @hero @label(LTV)","label":"LTV","prefix":"$","suffix":null,"section":"Lifetime Value","hidden":false,"hero":true,"slider":null,"value":980,"display":"$980.00"},{"text":"# Ratios","label":null,"prefix":null,"suffix":null,"section":"Ratios","hero":false,"slider":null,"value":null,"display":null},{"text":"ltv cac ratio = round(lifetime value / customer acquisition cost * 10) / 10 // @label(LTV/CAC ratio)","label":"LTV/CAC ratio","prefix":null,"suffix":null,"section":"Ratios","hidden":false,"hero":false,"slider":null,"value":4.9,"display":"4.9"},{"text":"payback months = round(customer acquisition cost / monthly revenue per user * 10) / 10 // @label(Payback period (months))","label":"Payback period (months)","prefix":null,"suffix":null,"section":"Ratios","hidden":false,"hero":false,"slider":null,"value":4.1,"display":"4.1"},{"text":"# Annual","label":null,"prefix":null,"suffix":null,"section":"Annual","hero":false,"slider":null,"value":null,"display":null},{"text":"$annual revenue per user = monthly revenue per user * 12","label":null,"prefix":"$","suffix":null,"section":"Annual","hidden":false,"hero":false,"slider":null,"value":588,"display":"$588.00"},{"text":"annual churn rate = round((1 - (1 - monthly churn rate / 100)^12) * 100 * 10) / 10 // %","label":null,"prefix":null,"suffix":"%","section":"Annual","hidden":false,"hero":false,"slider":null,"value":46,"display":"46"}]},{"id":"unit-production-queue-capacity","title":"Unit Production Queue Capacity","description":"Calculate total time for a production queue.","category":"productivity","icon":"list","tags":["gaming","strategy"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.168Z"},"rows":[{"text":"# Queue Settings","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hero":false,"slider":null,"value":null,"display":null},{"text":"unit count = 5","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"time per unit minutes = 2","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"parallel production lines = 2","label":null,"prefix":null,"suffix":null,"section":"Queue Settings","hidden":false,"hero":false,"slider":null,"value":2,"display":"2"},{"text":"# Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"total time minutes = (unit count * time per unit minutes) / parallel production lines","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":5,"display":"5"}]},{"id":"unit-production-time-multiplier","title":"Unit Production Time Multiplier","description":"Calculate unit production time with efficiency 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multiplier","label":null,"prefix":null,"suffix":null,"section":"Calculation","hidden":false,"hero":true,"slider":null,"value":3.3333333333333335,"display":"3.3333"}]},{"id":"urban-heat-island-effect-delta","title":"Urban Heat Island Effect","description":"Calculate temperature difference due to urban albedo changes.","category":"science","icon":"building-2","tags":["science","eco"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.168Z"},"rows":[{"text":"urban_albedo = 0.15 // dark surfaces","label":null,"prefix":null,"suffix":"dark surfaces","section":null,"hidden":false,"hero":false,"slider":null,"value":0.15,"display":"0.15"},{"text":"rural_albedo = 0.25 // vegetation/soil","label":null,"prefix":null,"suffix":"vegetation/soil","section":null,"hidden":false,"hero":false,"slider":null,"value":0.25,"display":"0.25"},{"text":"solar_radiation_w_m2 = 800 // watts per m2","label":null,"prefix":null,"suffix":"watts per 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Calculation","label":null,"prefix":null,"suffix":null,"section":"Calculation","hero":false,"slider":null,"value":null,"display":null},{"text":"# Each special character takes 3 bytes instead of 1","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hero":false,"slider":null,"value":null,"display":null},{"text":"_special_count = string length * (percent special characters / 100)","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":true,"hero":false,"slider":null,"value":20,"display":"20"},{"text":"_normal_count = string length - special_count","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":true,"hero":false,"slider":null,"value":80,"display":"80"},{"text":"_original_size_bytes = string length","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":true,"hero":false,"slider":null,"value":100,"display":"100"},{"text":"encoded size bytes = normal_count + (special_count * 3) // @hero","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":false,"hero":true,"slider":null,"value":140,"display":"140"},{"text":"size increase percent = ((encoded size bytes / original_size_bytes) - 1) * 100 // @hero @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Each special character takes 3 bytes instead of 1","hidden":false,"hero":true,"slider":null,"value":40,"display":"40"}]},{"id":"utility-cost","title":"Utility Cost","description":"Estimate monthly utility costs for a home.","category":"real-estate","icon":"zap","tags":["electric","gas"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.169Z"},"rows":[{"text":"# Home Details","label":null,"prefix":null,"suffix":null,"section":"Home 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Estimates","hidden":false,"hero":false,"slider":null,"value":105,"display":"$105.00"},{"text":"$gas heating = round(square footage * 0.03 * climate factor * 100) / 100 // @label(Gas / Heating)","label":"Gas / Heating","prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":null,"value":45,"display":"$45.00"},{"text":"$water and sewer = 65 // 30..200 by 5","label":null,"prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":{"min":30,"max":200,"step":5},"value":65,"display":"$65.00"},{"text":"$trash = 35 // 0..100 by 5","label":null,"prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":{"min":0,"max":100,"step":5},"value":35,"display":"$35.00"},{"text":"$internet = 70 // 30..150 by 5","label":null,"prefix":"$","suffix":null,"section":"Monthly Utility Estimates","hidden":false,"hero":false,"slider":{"min":30,"max":150,"step":5},"value":70,"display":"$70.00"},{"text":"# Totals","label":null,"prefix":null,"suffix":null,"section":"Totals","hero":false,"slider":null,"value":null,"display":null},{"text":"$total monthly utilities = electric + gas heating + water and sewer + trash + internet // @hero","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":true,"slider":null,"value":320,"display":"$320.00"},{"text":"$annual utilities = total monthly utilities * 12","label":null,"prefix":"$","suffix":null,"section":"Totals","hidden":false,"hero":false,"slider":null,"value":3840,"display":"$3,840.00"},{"text":"cost per sqft = round(total monthly utilities / square footage * 100) / 100 // $/sqft/mo","label":null,"prefix":null,"suffix":"$/sqft/mo","section":"Totals","hidden":false,"hero":false,"slider":null,"value":0.21,"display":"0.21"}]},{"id":"vacancy-rate-impact","title":"Vacancy Rate Impact","description":"Estimate the annual revenue loss caused by empty units.","category":"real-estate","icon":"user-x","tags":["real-estate"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.169Z"},"rows":[{"text":"grossPotentialRent = 120000 // dollars","label":null,"prefix":null,"suffix":"dollars","section":null,"hidden":false,"hero":false,"slider":null,"value":120000,"display":"120,000"},{"text":"vacancyRatePercent = 7 // percent","label":null,"prefix":null,"suffix":"percent","section":null,"hidden":false,"hero":false,"slider":null,"value":7,"display":"7"},{"text":"annualVacancyLoss = grossPotentialRent * (vacancyRatePercent / 100)","label":null,"prefix":null,"suffix":null,"section":null,"hidden":false,"hero":true,"slider":null,"value":8400,"display":"8,400"}]},{"id":"valve-spring-pressure","title":"Valve Spring Pressure","description":"Calculate valve spring 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Time","label":null,"prefix":null,"suffix":null,"section":"Time","hero":false,"slider":null,"value":null,"display":null},{"text":"walking time = round(distance / pace * 60) // min @hero","label":null,"prefix":null,"suffix":"min","section":"Time","hidden":false,"hero":true,"slider":null,"value":60,"display":"60"},{"text":"# Calories Burned","label":null,"prefix":null,"suffix":null,"section":"Calories Burned","hero":false,"slider":null,"value":null,"display":null},{"text":"weight kg = body weight * 0.453592","label":null,"prefix":null,"suffix":null,"section":"Calories Burned","hidden":false,"hero":false,"slider":null,"value":72.57472,"display":"72.5747"},{"text":"met value = 2.0 + pace // approximate MET","label":null,"prefix":null,"suffix":"approximate MET","section":"Calories Burned","hidden":false,"hero":false,"slider":null,"value":5,"display":"5"},{"text":"calories burned = round(met value * weight kg * (walking time / 60)) // 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Polynomials","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hero":false,"slider":null,"value":null,"display":null},{"text":"weight squared = body weight^2","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":6400,"display":"6,400"},{"text":"weight cubed = body weight^3","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":512000,"display":"512,000"},{"text":"weight four = body weight^4","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":40960000,"display":"40,960,000"},{"text":"weight five = body weight^5","label":null,"prefix":null,"suffix":null,"section":"Polynomials","hidden":false,"hero":false,"slider":null,"value":3276800000,"display":"3,276,800,000"},{"text":"denominator male = am + (bm * body weight) + (cm * weight squared) + (dm * weight cubed) + (em * weight four) + (fm * 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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":"2026-05-19T03:36:31.173Z"},"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 < -15","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":false,"display":"false"},{"text":"minutes to frostbite = if(wind chill < -50, 5, if(wind chill < -35, 10, 30))","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":30,"display":"30"},{"text":"temperature in celsius = (air temperature - 32) * 5 / 9","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":-6.666666666666667,"display":"-6.6667"},{"text":"wind chill in celsius = (wind chill - 32) * 5 / 9","label":null,"prefix":null,"suffix":null,"section":"Frostbite Risk","hidden":false,"hero":false,"slider":null,"value":-14.322841518842296,"display":"-14.3228"}]},{"id":"wind-chill-geographic","title":"Wind Chill Geographic","description":"Calculate wind chill in Celsius from temperature and wind 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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 @suffix(%)","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":12.46875,"display":"12.4688"},{"text":"# Alternative Formula (More accurate for high ABV)","label":null,"prefix":null,"suffix":null,"section":"Alternative Formula (More accurate for high ABV)","hero":false,"slider":null,"value":null,"display":null},{"text":"abv high = (76.08 * (original gravity - final gravity) / (1.775 - original gravity)) * (final gravity / 0.794)","label":null,"prefix":null,"suffix":null,"section":"Alternative Formula (More accurate for high 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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 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displacement.","category":"education","icon":"book-open","tags":["work"],"featured":false,"provenance":{"status":"draft","updatedAt":"2026-05-19T03:36:31.173Z"},"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":"2026-05-19T03:36:31.173Z"},"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":"2026-05-19T03:36:31.173Z"},"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":"2026-05-19T03:36:31.173Z"},"rows":[{"text":"# Liquidity Data","label":null,"prefix":null,"suffix":null,"section":"Liquidity Data","hero":false,"slider":null,"value":null,"display":null},{"text":"$current assets = 250000 // 0..10M","label":null,"prefix":"$","suffix":null,"section":"Liquidity Data","hidden":false,"hero":false,"slider":{"min":0,"max":10000000,"step":100000},"value":250000,"display":"$250,000.00"},{"text":"$current liabilities = 150000 // 0..10M","label":null,"prefix":"$","suffix":null,"section":"Liquidity Data","hidden":false,"hero":false,"slider":{"min":0,"max":10000000,"step":100000},"value":150000,"display":"$150,000.00"},{"text":"# Result","label":null,"prefix":null,"suffix":null,"section":"Result","hero":false,"slider":null,"value":null,"display":null},{"text":"$working capital = current assets - current liabilities // @hero","label":null,"prefix":"$","suffix":null,"section":"Result","hidden":false,"hero":true,"slider":null,"value":100000,"display":"$100,000.00"},{"text":"current ratio = current assets / current liabilities","label":null,"prefix":null,"suffix":null,"section":"Result","hidden":false,"hero":false,"slider":null,"value":1.6666666666666667,"display":"1.6667"},{"text":"$available for operations = working capital * 0.8 // assuming 20% reserve","label":null,"prefix":"$","suffix":"assuming 20% reserve","section":"Result","hidden":false,"hero":false,"slider":null,"value":80000,"display":"$80,000.00"}]},{"id":"yeast-starter-cell-count","title":"Yeast Starter Cell 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