JavaScript / TypeScript API

`nerdamer/algebra`

Polynomial tools, factorization, simplification, rational expressions, and related algebra operations.

Direct npm import. The items on this page are JavaScript / TypeScript exports from nerdamer/algebra. For functions used inside nerdamer('...'), see Nerdamer Notation.

Functions

content(x: ExpressionInput | Polynomial): ExpressionFunction

Returns the exact rational content of polynomial expression input.

deg(x: ExpressionInput | Polynomial): ExpressionFunction

Returns the total degree of polynomial expression input.

factor(x: ExpressionInput): ExpressionFunction

Factors polynomial-like numerator and denominator components of an expression.

gcd(x: ExpressionInput, y: ExpressionInput): ExpressionFunction

Computes a symbolic greatest common divisor over rational polynomial structure.

groebner(expressionArray: ExpressionInput[], vars?: string[]): VectorFunction

Computes an expression-facing Groebner basis for polynomial generators.

lcm(x: ExpressionInput, y: ExpressionInput): ExpressionFunction

Returns the least common multiple of two expressions. Numeric inputs reuse exact `Rational` arithmetic. Polynomial expressions use the existing GCD normalization so shared symbolic factors are retained.

partfrac(x: ExpressionInput, variable?: ExpressionInput): ExpressionFunction

Decomposes a rational expression P(x)/Q(x) into partial fractions.

simplify(x: string | Expression, modifiers: { … }): ExpressionFunction

Applies Nerdamer's finite symbolic simplification strategy to an expression.

Classes

Polynomial: unknownClass

Represents a polynomial as ordered Term objects with symbolic coefficients.

Term: unknownClass

Represents one coefficient-monomial term in a Polynomial.

APIs

EvalInputType: number | bigint | RationalAPI

Exact values accepted when evaluating a polynomial.

Monomial ordering labels understood by Polynomial.order.

PolyType: string | Polynomial | ExpressionAPI

Inputs accepted by polynomial conversion helpers.

PowersObject: Record<string, number>API

Powers keyed by variable name. Missing variables have degree zero.

VariableFrequency: unknownAPI

API exported by Nerdamer.