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The convention does not match the following definitions. |
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The function was originally developed in [[operational calculus]] for the solution of [[differential equation]]s, where it represents a signal that switches on at a specified time and stays switched on indefinitely. [[Oliver Heaviside]], who developed the operational calculus as a tool in the analysis of telegraphic communications, represented the function as {{math|'''1'''}}.
Taking the convention that {{math|''H''(0) {{=}}
* a [[piecewise function]]: <math display="block">H(x) := \begin{cases} 1, & x \geq 0 \\ 0, & x < 0 \end{cases}</math>
* using the [[Iverson bracket]] notation: <math display="block">H(x) := [x \geq 0]</math>
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