19 ms·
Nice. I'm reminded of the Weierstrass function, which is continuous everywhere but differentiable nowhere. https://en.wikipedia.org/wiki/Weierstrass_function h
by MaxBarraclough 6y ago
Nice. I'm reminded of the Weierstrass function, which is continuous everywhere but differentiable nowhere.
https://en.wikipedia.org/wiki/Weierstrass_function https://en.wikipedia.org/wiki/Weierstrass_function
- memexy 6y agoYup. It's one of the first counter-examples I learned about in undergrad analysis class. What's amazing about these things is that many extremely smart mathematicians at the time thought this was impossible, i.e. that continuous functions had to be at least differentiable somewhere.