Step function: Difference between revisions

Revision as of 20:02, 27 April 2021

Revision as of 18:33, 6 July 2021

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{{Short description|Linear combination of indicator functions of real intervals}}

{{About|a piecewise constant function|the unit step function|Heaviside step function}}

{{Use American English|date = March 2019}}

{{More footnotes|date=February 2019}}

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.