Dirac delta distribution: Difference between revisions

Revision as of 15:38, 21 March 2007

The Dirac delta distribution (or generalized function) is written as $\delta (x)$ . It is the derivative of the Heaviside step distribution,

{\frac {d}{dx}}[H(x)]=\delta (x)

It has the property

\int _{-\infty }^{\infty }f(x)\delta (x-a)dx=f(a)

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	The Dirac delta distribution (or generalized function) is written as <math>\delta(x)</math>. It is the derivative of the [[Heaviside step distribution]],		The '''Dirac delta distribution''' (or generalized function) is written as <math>\delta(x)</math>. It is the derivative of the [[Heaviside step distribution]],

	:<math>\frac{d}{dx}[H(x)] = \delta(x)</math>		:<math>\frac{d}{dx}[H(x)] = \delta(x)</math>