Mathematical Formulas

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

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

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

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

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

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

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

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

Academic grade point average calculations with weighted and unweighted systems

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

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

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

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

Body Mass Index formulas with health categorization and international standards

Metric and imperial length unit conversions with precise mathematical relationships

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

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

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

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

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

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

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

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

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

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

Frequency unit conversions from hertz to gigahertz with electromagnetic spectrum applications

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

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

Electrical current conversions with Ohms law applications and power calculations

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

VAR calculations and power factor correction with reactive power management formulas

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

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

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

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

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

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

Comprehensive unit conversion reference with dimensional analysis and conversion factors