Dirac delta distribution: Difference between revisions
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Carl McBride (talk | contribs) (New page: The Dirac delta distribution <math>\delta(x)</math>, is the derivative of the Heaviside step distribution, :<math>\frac{d}{dx}[H(x)] = \delta(x)</math> It has the property :<math>\...) |
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The Dirac delta distribution <math>\delta(x)</math> | 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 16:33, 21 March 2007
The Dirac delta distribution (or generalized function) is written as . It is the derivative of the Heaviside step distribution,
![{\displaystyle {\frac {d}{dx}}[H(x)]=\delta (x)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f2c48a895b8b4a9377436f7331790b8f5fc356aa)
It has the property
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int _{-\infty }^{\infty }f(x)\delta (x-a)dx=f(a)}