Cantor function

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Science and technology

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What Wikipedia says

In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in analysis, because it challenges naive intuitions about continuity, derivative, and measure.

Excerpt from the Wikipedia article “Cantor function”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: CantorEscalier.svg: Theon derivative work: Amirki, CC BY-SA 3.0, via Wikimedia Commons.