Browse formulae organized by mathematical discipline.
Everyday number sense: fractions, percentages, ratios and averages
Equations, polynomials, identities and algebraic laws
Areas, volumes, angles and trigonometric identities
Trigonometric ratios, identities, laws and angle formulae
Derivatives, integrals, limits and series
Averages, spread, distributions and probability
Counting, permutations, combinations, and core probability laws.
Machine learning metrics, loss functions, and statistical learning formulae.
Vectors, matrices, determinants and transformations
Mechanics, energy, waves, electricity and light
Named laws, principles and theorems that govern the physical universe
Heat, temperature, gas laws and the laws of thermodynamics
Light, lenses, mirrors, sound and wave behaviour
Electric fields, magnetic forces and electromagnetic induction
Pressure, buoyancy, flow and the behaviour of fluids
Relativity, quantum mechanics and nuclear physics
Circuit analysis, components, signals and digital logic formulae
Reactions, solutions, gases and thermodynamics
Genetics, ecology, physiology and cellular biology formulae
Body metrics, nutrition, exercise and wellness formulae
Calories, macros, diet, cooking ratios and culinary maths
Orbits, gravity, stars and cosmology
Stress, fluids, circuits and structures
Structural, construction, and materials-engineering formulae.
Aerodynamics, flight performance, navigation and atmospheric formulas used in aviation
Interest, loans, investments and valuation
Core accounting identities, financial-statement measures and ratios used to read a company’s books
Pricing, sales, inventory and growth metrics used to run and scale a commercial business
Macro and micro relationships: national output, inflation, elasticity and the theory of money
Exchange-rate conversion, cross rates, spreads, pips and purchasing-power measures used in foreign exchange
Practical formulae for daily life: shopping, cooking, travel, and home projects.
Calendar rules, weekday and date algorithms, clock and astronomical timekeeping.
Distances, maps, coordinates and the planet
Sustainability, energy, ecology, and earth-science formulae.
Convert temperature, length, area, volume, mass and more
Primes, divisibility, modular arithmetic
Algorithms, information theory and discrete math