Dirac Delta

Evaluate the Dirac delta function.

The Dirac delta function may be loosely defined as

and is constrained to satisfy the identity

Note that the Dirac delta function is not a function in the traditional sense, as any real-valued function which is zero everywhere except at a single point, must have an integral equal to 0.

Usage

var diracDelta = require( '@stdlib/math/base/special/dirac-delta' );

diracDelta( x )

Evaluates the Dirac delta function.

var v = diracDelta( 0.0 );
// returns Infinity

v = diracDelta( 3.14 );
// returns 0.0

v = diracDelta( NaN );
// returns NaN

Examples

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

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

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