Detalhes do pacote

@stdlib/math-base-special-beta

stdlib-js160kApache-2.0 AND BSL-1.00.3.0

Beta function.

stdlib, stdmath, mathematics, math

readme (leia-me)

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beta

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

[Beta function][beta-function].

The [beta function][beta-function], also called the Euler integral, is defined as
Equation for the beta function.
--> The [beta function][beta-function] is related to the [Gamma function][gamma-function] via the following equation
## Installation bash npm install @stdlib/math-base-special-beta
## Usage javascript var beta = require( '@stdlib/math-base-special-beta' ); #### beta( x, y ) Evaluates the [beta function][beta-function]. javascript var val = beta( 0.0, 0.5 ); // returns Infinity val = beta( 1.0, 1.0 ); // returns 1.0 val = beta( -1.0, 2.0 ); // returns NaN val = beta( 5.0, 0.2 ); // returns ~3.382 val = beta( 4.0, 1.0 ); // returns 0.25
## Examples javascript var beta = require( '@stdlib/math-base-special-beta' ); var x; var y; for ( x = 0; x < 10; x++ ) { for ( y = 10; y > 0; y-- ) { console.log( 'x: %d, \t y: %d, \t f(x,y): %d', x, y, beta( x, y ) ); } }

## C APIs
### Usage c #include "stdlib/math/base/special/beta.h" #### stdlib_base_beta( a, b ) Evaluates the [beta function][beta-function]. c double out = stdlib_base_beta( 1.0, 1,0 ); // returns 1.0 out = stdlib_base_beta( 5.0, 0.2); // returns ~3.382 The function accepts the following arguments: - a: [in] double input value. - b: [in] double input value. c double stdlib_base_beta ( const double a, const double b );
### Examples c #include "stdlib/math/base/special/beta.h" #include <stdio.h> int main( void ) { const double x[] = { 1.0, 3.0, 5.0, 8.0, 10.0 }; const double y[] = { 2.0, 4.0, 7.0, 9.0, 10.0 }; double out; int i; int j; for ( i = 0; i < 5; i++ ) { for ( j = 0; j < 5; j++ ){ out = stdlib_base_beta( x[ i ], y[ j ] ); printf ( "x: %lf, y: %lf, out: %lf\n", x[ i ], y[ j ], out ); } } }

* ## See Also - [@stdlib/math-base/special/betainc][@stdlib/math/base/special/betainc]: incomplete beta function. - [@stdlib/math-base/special/betaincinv][@stdlib/math/base/special/betaincinv]: inverse incomplete beta function. - [@stdlib/math-base/special/betaln][@stdlib/math/base/special/betaln]: natural logarithm of the beta function.
* ## Notice This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more. For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib]. #### Community [![Chat][chat-image]][chat-url] --- ## Copyright Copyright © 2016-2024. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-beta.svg [npm-url]: https://npmjs.org/package/@stdlib/math-base-special-beta [test-image]: https://github.com/stdlib-js/math-base-special-beta/actions/workflows/test.yml/badge.svg?branch=v0.3.0 [test-url]: https://github.com/stdlib-js/math-base-special-beta/actions/workflows/test.yml?query=branch:v0.3.0 [coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-beta/main.svg [coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-beta?branch=main [chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg [chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im [stdlib]: https://github.com/stdlib-js/stdlib [stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors [umd]: https://github.com/umdjs/umd [es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules [deno-url]: https://github.com/stdlib-js/math-base-special-beta/tree/deno [deno-readme]: https://github.com/stdlib-js/math-base-special-beta/blob/deno/README.md [umd-url]: https://github.com/stdlib-js/math-base-special-beta/tree/umd [umd-readme]: https://github.com/stdlib-js/math-base-special-beta/blob/umd/README.md [esm-url]: https://github.com/stdlib-js/math-base-special-beta/tree/esm [esm-readme]: https://github.com/stdlib-js/math-base-special-beta/blob/esm/README.md [branches-url]: https://github.com/stdlib-js/math-base-special-beta/blob/main/branches.md [beta-function]: https://en.wikipedia.org/wiki/Beta_function [gamma-function]: https://en.wikipedia.org/wiki/Gamma_function [@stdlib/math/base/special/betainc]: https://www.npmjs.com/package/@stdlib/math-base-special-betainc [@stdlib/math/base/special/betaincinv]: https://www.npmjs.com/package/@stdlib/math-base-special-betaincinv [@stdlib/math/base/special/betaln]: https://www.npmjs.com/package/@stdlib/math-base-special-betaln