Kronecker Delta

Evaluate the Kronecker delta.

The Kronecker delta is defined as

Installation

npm install @stdlib/math-base-special-kronecker-delta

Usage

var kroneckerDelta = require( '@stdlib/math-base-special-kronecker-delta' );

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

var linspace = require( '@stdlib/array-base-linspace' );
var kroneckerDelta = require( '@stdlib/math-base-special-kronecker-delta' );

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 ) );
}

C APIs

Usage

#include "stdlib/math/base/special/kronecker_delta.h

stdlib_base_kronecker_delta( i, j )

Evaluates the Kronecker delta.

double v = stdlib_base_kronecker_delta( 3.0, 3.0 );
// returns 1.0

The function accepts the following arguments:

• i: [in] double input value.
• j: [in] double input value.

double stdlib_base_kronecker_delta( const double i, const double j );

Examples

#include "stdlib/math/base/special/kronecker_delta.h"
#include <stdio.h>

int main( void ) {
    const double x[] = { 3.0, 4.0, 5.0, 5.0 };

    double y;
    int i;
    for ( i = 0; i < 4; i += 2 ) {
        y = stdlib_base_kronecker_delta( x[ i ], x[ i+1 ] );
        printf( "kronecker_delta(%lf, %lf) = %lf\n", x[ i ], x[ i+1 ], y );
    }
}

See Also

• @stdlib/math-base/special/dirac-delta: evaluate the Dirac delta function.

Notice

This package is part of 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, see the main project repository.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.