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This function is closely related to the cantor ternary set which is uncountable but has measure zero https://en.wikipedia.org/wiki/Cantor_set https://en.wikipe
by throwgeorge 6y ago
This function is closely related to the cantor ternary set which is uncountable but has measure zero
https://en.wikipedia.org/wiki/Cantor_set https://en.wikipedia.org/wiki/Cantor_set
This and other wacky analysis things is what inspired me to study pure math in undergrad.
- JadeNB 6y agoNot 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.