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A comment on Cantor function, a.k.a. devil's staircase.

Re:Cantor function, a.k.a. devil's staircase by throwgeorge on Thursday June 11, 2020 @05:52PM (#23493672)
This function is closely related to the cantor ternary set which is uncountable but has measure zero

https://en.wikipedia.org/wiki/Cantor_set

This and other wacky analysis things is what inspired me to study pure math in undergrad.

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Re:Cantor function, a.k.a. devil's staircase by JadeNB on Thursday June 11, 2020 @06:15PM (#23493844)
Not just related—the staircase is built by, in essence, putting stairs on the ternary set. There's enough Cantor set to get from 0 to 1, but not enough to disturb the almost-everywhere vanishing of the derivative.
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