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About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

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Kronecker Delta

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Evaluate the Kronecker delta.

The Kronecker delta is defined as

$$\delta_{ij} = \begin{cases} 1 & \textrm{if}\ i = j \\ 0 & \textrm{if}\ i \neq j\end{cases}$$

Usage

import kroneckerDelta from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-kronecker-delta@deno/mod.js';

kroneckerDelta( i, j )

Evaluates the Kronecker delta.

var v = kroneckerDelta( 3.14, 3.14 );
// returns 1.0

v = kroneckerDelta( 3.14, 0.0 );
// returns 0.0

v = kroneckerDelta( NaN, 3.14 );
// returns NaN

v = kroneckerDelta( 3.14, NaN );
// returns NaN

v = kroneckerDelta( NaN, NaN );
// returns NaN

Examples

import linspace from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-base-linspace@deno/mod.js';
import kroneckerDelta from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-kronecker-delta@deno/mod.js';

var x = linspace( -1.0, 1.0, 101 );

var i;
for ( i = 0; i < x.length; i++ ) {
    console.log( 'kronecker(%d,%d) = %d', x[ i ], 0.0, kroneckerDelta( x[ i ], 0.0 ) );
}

See Also


Notice

This package is part of stdlib, a standard library 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, see the main project repository.

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Copyright © 2016-2024. The Stdlib Authors.