Not completely accurate. See Wierstrass function. Continuous everywhere, differentiable nowhere.

…umption that the group product is only continuous, but we find that we get “ooodles more for free”: continuity not only implies differentiability, but differentiability of any order AND that Taylor Series for the group product are everywhere val…
Sailing on the Vast Seas of Lie Groups
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Selena Routley
gravity well (Rob Tomlin)
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Aug 10, 2024
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Not completely accurate. See Wierstrass function. Continuous everywhere, differentiable nowhere.
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Written by gravity well (Rob Tomlin)2.2K Followers
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