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ChromeGames (talk | contribs) m Changing short description from "Function whose value is zero for negative numbers and one for positive numbers" to "Indicator function of positive numbers" (Shortdesc helper) |
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{{Short description|Indicator function of positive numbers}}
{{refimprove|date=December 2012}}
{{Infobox mathematical function
[[Image:Dirac distribution CDF.svg|325px|thumb|The Heaviside step function, using the half-maximum convention]]▼
| name = Heaviside step
| image = Dirac distribution CDF.svg
| imagesize = 325px
▲
| general_definition = <math display="block">H(x) := \begin{cases} 1, & x > 0 \\ 0, & x \le 0 \end{cases}</math>
| fields_of_application = Operational calculus
}}
The '''Heaviside step function''', or the '''unit step function''', usually denoted by {{mvar|H}} or {{mvar|θ}} (but sometimes {{mvar|u}}, {{math|'''1'''}} or {{math|{{not a typo|𝟙}}}}), is a [[step function]], named after [[Oliver Heaviside]] (1850–1925), the value of which is [[0 (number)|zero]] for negative arguments and [[1 (number)|one]] for positive arguments. It is an example of the general class of [[step function]]s, all of which can be represented as [[Linear combination|linear combinations]] of translations of this one.
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