Step function: Difference between revisions

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(or '''staircase function''') was deleted, since their definitions are not the same. See https://mathworld.wolfram.com/StaircaseFunction.html
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{{About|a piecewise constant function|the unit step function|Heaviside step function}}
 
In mathematics, a [[function (mathematics)|function]] on the [[real number]]s is called a '''step function''' (or '''staircase function''') if it can be written as a [[finite set|finite]] [[linear combination]] of [[indicator function]]s of [[interval (mathematics)|interval]]s. Informally speaking, a step function is a [[piecewise]] [[constant function]] having only finitely many pieces.
[[Image:StepFunctionExample.png|thumb|right|250px|Example of a step function (the red graph). This particular step function is [[Continuous function#Directional and semi-continuity|right-continuous]].]]