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===Variations in the definition===
Sometimes, the intervals are required to be right-open<ref>http://mathworld.wolfram.com/StepFunction.html</ref> or allowed to be singleton.<ref>http://mathonline.wikidot.com/step-functions</ref> The condition that the collection of intervals must be finite is often dropped, especially in school mathematics,<ref>https://www.mathwords.com/s/step_function.htm</ref><ref>https://study.com/academy/lesson/step-function-definition-equation-examples.html</ref><ref>https://www.varsitytutors.com/hotmath/hotmath_help/topics/step-function</ref> though it must still be [[Locally finite collection|locally finite]], resulting in the definition of piecewise constant functions.
==Examples==
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