Cantor Function

In mathematics, the Cantor function is an example of a function that is continuous but not absolutely continuous. It is a well-known counterexample in analysis: although it is continuous everywhere and has a derivative of zero almost everywhere, its value still rises from 0 to 1 as its argument goes from 0 to 1, so despite appearing constant it in fact grows monotonically. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/