Heaviside step function: Difference between revisions

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Add plot of functions that converge to the step function
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The Heaviside function may be defined as:
* a [[piecewise function]]: <math display="block">H(x) := \begin{cases} 1, & x > 0 \\ 0, & x <\le 0 \end{cases}</math>
* an [[indicator function]]: <math display="block">H(x) := \mathbf{1}_{x > 0}</math>
* the derivative of the [[ramp function]]: <math display="block">H(x) := \frac{d}{dx} \max \{ x, 0 \}\quad \mbox{for } x \ne 0</math>