mzMath Documentation

Main

Typescript Usage Browser Usage Node.js Usage

Vectors

Vectors Vectors Sum Vectors Subtraction Multiply by Scalar Divide by Scalar Vector Length Normalized (Unit) Vector Dot Product Cross Product Distance Between Vectors Vector Initialization Vectors Equality Get Normal

Matrix

Matrix Matrix Sum Matrix Subtraction Multiply By Scalar Divide By Scalar Matrix Transposition Matrix Multiplication Multiply Matrix By Vector Matrix Determinant Inverse Matrix Matrix Singularity Adjugate Matrix Get Matrix Minor

Matrix Manipulation

Matrix Initialization Matrix Equality Matrix Deep Copy Append Or Prepend Row Append Or Prepend Column Remove Row Or Column Get Column Reset Matrix

Transformation Matrices

Translation Matrix Rotation Matrix Rotate Around Point Scale And Stretch Matrix Scale Around Point Reflection Matrix Shearing Matrix Matrix To Css Transform

Angles

Vector Angle Angle Between Vectors Degrees And Radians Angles Distance Is Angle Between Is Clockwise Percent To Angle

Random

Get Random Number In Range Get Random Integer Get Random Boolean Get Random Item From Array Random Id Or Guid

Bezier Curve

Get Point On Quadratic Bezier Curve Get Point On Cubic Bezier Curve Tangent Normal Extrema Bounding Box

Equations

Linear Equation System Of Linear Equations Quadratic Equation Get Linear Equation By 2 Points

Path Movement

Circle Movement Ellipse Movement Sine Wave Movement Lissajous Curve

Color

Color Random Color Convert Colors Shift Colors Similar Colors

Linear Interpolation

Lerp General Case

Derivatives

Polynomial Trigonometric Functions Bezier Curves

Collision Detection

Rectangles Collision Circles Collision Convex Polygons Collision

Animation

Animation Get Animation Data

Circle And Ellipse

Circumference Is Angle In Circle Arc

Sequence

Natural Numbers Sequence Sum Arithmetic Sequence Sum

Combinatorics

Factorial Combinatorics

Other

Set Decimal Places Convert String To Number Square In Circle Modulo Convert Range Check If Ranges Overlap Check If Value Is Number Polar To Cartesian Temperature Conversion Series Greatest Common Divisor

Arithmetic Sequence Sum

import { naturalNumbersSequenceSum } from 'mz-math';

// n = the number of terms to be added
const n = 4;

// a = the first term in the sequence
const a = 2;

// d = the constant value between terms
const d = 2;

// 2 + 4 + 6 + 8
const sum = naturalNumbersSequenceSum(n, a, d); // 20

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Natural Numbers Sequence Sum

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