Heaviside step function: Difference between revisions
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imported>Paul Wormer (New page: In mathematics, physics, and engineering the '''Heaviside step function''' is the following function, :<math> H(x) = \begin{cases} 1 &\quad\hbox{if}\quad x > 0\\ \frac{1}{2} &\...) |
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Revision as of 07:55, 23 December 2008
In mathematics, physics, and engineering the Heaviside step function is the following function,
Note that a block function BΔ of width Δ and height 1/Δ can be given in terms of step functions (for positive Δ), namely
The derivative of the step function is
where δ(x) is the Dirac delta function, which may be defined as the block function in the limit of zero width, see this article.