ContinuedFraction

ContinuedFraction = object

Defined in: packages/math-analysis/src/continued-fraction-eval.ts:28

The coefficients of b₀ + a₁/(b₁ + a₂/(b₂ + a₃/(b₃ + ⋯))), supplied as functions of the term index so an unbounded fraction needs no array.

Example

  // Every coefficient is 1, for any depth.
  const goldenRatio: ContinuedFraction = {
    numerator: () => 1,
    denominator: () => 1,
  };
  ```;

## See

[Continued fractions](https://anthochamp.pages.grenadine.io/node-essentials/topics/math/calculus/series/)

## Properties

### denominator

> **denominator**: (`index`) => `number`

Defined in: packages/math-analysis/src/continued-fraction-eval.ts:36

The partial denominator `bⱼ`, called with `index ≥ 0`. `b₀` is the leading
term, outside the fraction proper.

#### Parameters

##### index

`number`

#### Returns

`number`

***

### numerator

> **numerator**: (`index`) => `number`

Defined in: packages/math-analysis/src/continued-fraction-eval.ts:30

The partial numerator `aⱼ`, called with `index ≥ 1`.

#### Parameters

##### index

`number`

#### Returns

`number`