Dirac delta distribution: Difference between revisions

Revision as of 18:06, 25 May 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)

Revision as of 16:38, 21 March 2007 (edit) Carl McBride (talk \| contribs) No edit summary ← Older edit		Revision as of 18:06, 25 May 2007 (edit) (undo) Nice and Tidy (talk \| contribs) mNo edit summary Newer edit →
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	:<math>\int_{- \infty}^{\infty} f(x) \delta (x-a) dx = f(a)</math>		:<math>\int_{- \infty}^{\infty} f(x) \delta (x-a) dx = f(a)</math>
			[[category: mathematics]]