Step function: Difference between revisions

Revision as of 13:59, 17 February 2019

Revision as of 16:56, 17 February 2019

Line 1:

{{More footnotes|date=December 2009}}{{About|a piecewise constant function|the unit step function|Heaviside step function}}

{{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.{{Clarify|reason=|date=February 2019}}

[[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]].]]