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Cantor function, a.k.a. devil's staircase

Cantor function, a.k.a. devil's staircase

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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. Although it is continuous…

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Cantor function, a.k.a. devil's staircase
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▲ 96💬 52

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. Although it is continuous…

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