# Step function

From Encyclopedia of Mathematics

The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

A real function which has finitely many points of discontinuity and is constant on the intervals between those points. The step functions are precisely the finite linear combinations of the characteristic functions of intervals.

**How to Cite This Entry:**

Step function.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Step_function&oldid=39788