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A real function which has finitely many [[Discontinuity point|points of discontinuity]] and is constant on the intervals between those points.  The step functions are precisely the finite linear combinations of the [[Characteristic function of a set|characteristic function]]s of [[Interval and segment|interval]]s.

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How to Cite This Entry:
Step function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Step_function&oldid=39788

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