Mathematical Formulas

Explore our comprehensive collection of mathematical formulas with detailed explanations, examples, and step-by-step derivations. Perfect for students, educators, and professionals.

๐Ÿ“‹Available Formula Collections (38)

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Percentage Formulas

Math Tools

Complete collection of percentage calculation formulas including basic percentages, percentage change, and compound percentages

Basic MathPercentagesFinance
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Prime Number Formulas

Number Theory

Mathematical formulas and algorithms for prime numbers, primality testing, and number theory concepts with detailed explanations

Number TheoryAlgorithmsCryptography
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Prime Factorization Formulas

Number Theory

Algorithms and techniques for finding prime factors, with optimization methods and mathematical proofs

Number TheoryFactorizationAlgorithms
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Greatest Common Divisor Formulas

Math Tools

Euclidean algorithm and mathematical methods for finding GCD with step-by-step calculations

Number TheoryAlgorithmsGCD
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Least Common Multiple Formulas

Math Tools

Mathematical formulas for calculating LCM using GCD relationship and prime factorization methods

Number TheoryLCMAlgorithms
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โฌœ

Matrix Operations Formulas

Linear Algebra

Comprehensive matrix formulas including multiplication, determinants, inverse, and system solutions

Linear AlgebraMatricesDeterminants
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โ‰ก

Linear Equations Formulas

Linear Algebra

System solving methods including Cramers rule, Gaussian elimination, and matrix inversion techniques

Linear AlgebraSystemsEquations
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๐Ÿ’ป

Number Systems Formulas

Computer Science

Binary, octal, decimal, and hexadecimal conversion formulas with base arithmetic operations

BinaryConversionsComputer Science
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๐ŸŽ“

GPA Calculation Formulas

Education

Academic grade point average calculations with weighted and unweighted systems

EducationGPAAcademic
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Simple Interest Formulas

Finance

Simple interest calculations for loans, investments, and financial planning with practical examples

FinanceInterestLoans
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Compound Interest Formulas

Finance

Compound interest formulas for investments, savings, and loan calculations with compounding periods

FinanceInvestmentsCompound Interest
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Loan Calculation Formulas

Finance

Mortgage, loan payment, and amortization formulas with payment schedules and total cost calculations

FinanceLoansMortgages
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โฐ

Age Calculation Formulas

Life Tools

Precise age calculations considering leap years, time zones, and various date formats

AgeDateTime
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BMI Calculation Formulas

Health

Body Mass Index formulas with health categorization and international standards

HealthBMIMedical
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Length Conversion Formulas

Unit Conversion

Metric and imperial length unit conversions with precise mathematical relationships

UnitsLengthConversion
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โฌœ

Area Conversion Formulas

Unit Conversion

Area unit conversions between square meters, acres, hectares, and other area measurements

UnitsAreaConversion
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Volume Conversion Formulas

Unit Conversion

Liquid and dry volume conversions including liters, gallons, cubic measurements, and cooking units

UnitsVolumeConversion
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Mass Conversion Formulas

Unit Conversion

Weight and mass unit conversions between metric, imperial, and specialized measurement systems

UnitsMassWeight
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๐ŸŒก๏ธ

Temperature Conversion Formulas

Unit Conversion

Celsius, Fahrenheit, Kelvin, and Rankine temperature conversion formulas with scientific applications

UnitsTemperatureScience
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โฑ๏ธ

Time Conversion Formulas

Unit Conversion

Time unit conversions from microseconds to years with calendar and duration calculations

UnitsTimeDuration
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Speed Conversion Formulas

Unit Conversion

Velocity and speed unit conversions including mph, km/h, m/s, and specialized transportation units

UnitsSpeedVelocity
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โšก

Energy Conversion Formulas

Unit Conversion

Energy unit conversions between joules, calories, BTU, kWh, and other energy measurements

UnitsEnergyPhysics
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Power Conversion Formulas

Unit Conversion

Power unit conversions including watts, horsepower, BTU/hr, and electrical power calculations

UnitsPowerElectrical
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Pressure Conversion Formulas

Unit Conversion

Pressure unit conversions between psi, bar, pascal, atmosphere, and specialized pressure measurements

UnitsPressureEngineering
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๐Ÿ“

Angle Conversion Formulas

Unit Conversion

Angular measurement conversions between degrees, radians, gradians, and turns with trigonometric applications

UnitsAnglesTrigonometry
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๐Ÿ“ก

Frequency Conversion Formulas

Unit Conversion

Frequency unit conversions from hertz to gigahertz with electromagnetic spectrum applications

UnitsFrequencyElectronics
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๐Ÿ’พ

Digital Storage Conversion Formulas

Unit Conversion

Binary and decimal digital storage conversions between bytes, KB, MB, GB, TB with computing applications

UnitsDigitalComputer Storage
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โšก

Voltage Conversion Formulas

Electrical

Electrical voltage conversions and calculations with RMS, peak values, and power system applications

ElectricalVoltageEngineering
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๐Ÿ”Œ

Current Conversion Formulas

Electrical

Electrical current conversions with Ohms law applications and power calculations

ElectricalCurrentOhms Law
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โšก

Apparent Power Conversion Formulas

Electrical

AC power calculations with VA, kVA, MVA conversions and power triangle relationships

ElectricalPowerAC Circuits
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Reactive Power Conversion Formulas

Electrical

VAR calculations and power factor correction with reactive power management formulas

ElectricalVARPower Factor
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๐Ÿ”‹

Reactive Energy Conversion Formulas

Electrical

VARh measurements and time-based reactive energy calculations for utility applications

ElectricalEnergyUtilities
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๐Ÿ’ง

Volume Flow Rate Conversion Formulas

Engineering

Fluid flow rate conversions for HVAC, plumbing, and industrial applications

EngineeringFlow RateFluids
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๐Ÿ’ก

Illuminance Conversion Formulas

Engineering

Light measurement conversions between lux and foot-candles with lighting design applications

EngineeringLightingOptics
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๐Ÿƒ

Pace Conversion Formulas

Sports

Running and athletic pace conversions with training zone calculations and race planning

SportsRunningTraining
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๐Ÿ”ข

Quantity Conversion Formulas

Commerce

Commercial quantity conversions between each, dozen, gross, score, and bulk counting systems

CommerceQuantitiesCounting
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๐Ÿ”ฌ

Parts Per Conversion Formulas

Chemistry

Concentration calculations with PPM, PPB, PPT conversions for environmental and analytical chemistry

ChemistryConcentrationAnalysis
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General Unit Conversion Formulas

Unit Conversion

Comprehensive unit conversion reference with dimensional analysis and conversion factors

UnitsConversionGeneral
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๐Ÿ—‚๏ธFormula Categories

โˆ‘

Math Tools

Essential mathematical formulas for calculations

๐Ÿ’ฐ

Finance

Financial calculation formulas

๐Ÿ”„

Unit Conversion

Unit conversion formulas and relationships

๐Ÿ”ข

Number Theory

Prime numbers, factorization, and number properties

โฌœ

Linear Algebra

Matrix operations and linear systems

โšก

Electrical

Electrical engineering formulas

โš™๏ธ

Engineering

Engineering and technical formulas

โš–๏ธ

Health

Health and medical calculations

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