Dirac delta distribution: Difference between revisions
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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> | ||
Revision as of 15:38, 21 March 2007
The Dirac delta distribution (or generalized function) is written as . It is the derivative of the Heaviside step distribution,
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{d}{dx}[H(x)] = \delta(x)}
It has the property
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int_{- \infty}^{\infty} f(x) \delta (x-a) dx = f(a)}