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Dilaralkjhgl (talk | contribs) m The value 0 needs to be included in the indicator function description (check the definition of indicator function) |
m Fixed typo Tags: canned edit summary Mobile edit Mobile app edit iOS app edit |
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The Heaviside function may be defined as:
* a [[piecewise function]]: <math display="block">H(x) := \begin{cases} 1, & x \ge 0 \\ 0, & x < 0 \end{cases}</math>
* using the [[Iverson bracket]] notation: <math display="block">H(x) := [x
* an [[indicator function]]: <math display="block">H(x) := \mathbf{1}_{x \geq 0}=\mathbf 1_{\mathbb R_+}(x)</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>
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