---
tag: 0AJXYH4DDQ
kind: concept
name: Step function
msc: [26A42]
sources:
  - url: https://en.wikipedia.org/wiki/Step_function
    locator: lead section
same_as:
  wikidata: Q917657
  wikipedia: Step function
---

## Summary

A step function is a function that is constant on each piece of a partition of an interval into finitely many pieces. Its integral is a finite sum of areas of rectangles. The node [[step function|0M9XEDF1HJ]] gives the precise definition.