MathFlow

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Built-ins ​

MathFlow comes with a rich set of built-in constants and functions for mathematical computation. These are available in every context by default.

Constants ​

  • pi : Ratio of a circle's circumference to its diameter (3.14159...)
  • e : Euler's number, the base of natural logarithms (2.71828...)

Functions ​

Arithmetic & Numbers ​

  • add(x, y, ...) : Sum of arguments
  • sub(x, y) : Subtraction
  • mul(x, y, ...) : Product of arguments
  • div(x, y) : Division
  • abs(x) : Absolute value
  • ceil(x) : Ceiling
  • floor(x) : Floor
  • sqrt(x) : Square root
  • pow(x, y) : x to the power y
  • cbrt(x) : Cube root
  • root(x, y) : y-th root of x
  • trunc(x) : Truncate to integer

Logarithms & Exponentials ​

  • exp(x) : e^x
  • ln(x) : Natural logarithm
  • log(x, y) : Logarithm of x base y
  • log10(x) : Base-10 logarithm
  • log2(x) : Base-2 logarithm

Trigonometry ​

Angle mode can be degrees or radians - See Preferences for details.

  • sin(x), cos(x), tan(x) : Sine, cosine, tangent
  • asin(x), acos(x), atan(x) : Inverse trigonometric functions
  • csc(x), sec(x), cot(x) : Cosecant, secant, cotangent
  • sinh(x), cosh(x), tanh(x) : Hyperbolic functions
  • asinh(x), acosh(x), atanh(x) : Inverse hyperbolic functions
  • deg(x) : Convert radians to degrees
  • rad(x) : Convert degrees to radians
  • hypot(x, y) : sqrt(x² + y²)
  • versin(x) : 1 - cos(x)
  • coversin(x) : (1 - cos(x)) / 2

Examples ​

js
import { createContext } from '@mathflowjs/mathflow';

const ctx = createContext();

ctx.solve('log(100, 10)');  // 2
ctx.solve('sin(90)');       // 1 (if angles = 'deg')
ctx.solve('sqrt(16)');      // 4
ctx.solve('hypot(3, 4)');   // 5

See also: Preferences for angle mode and precision settings.