4 ms·
If you zoom in far enough every curve looks linear.
by adamsmith143 5y ago
If you zoom in far enough every curve looks linear.
- mathieutd 5y agoNot quite! https://en.wikipedia.org/wiki/Weierstrass_function https://en.wikipedia.org/wiki/Weierstrass_function
- apolloartemis 5y agoWow that’s super cool, didn’t know about this
- foobarian 5y agoHeh. Reminds me of how gamers manage to find exploits to cheese speed runs while developers react in dismay.
- wardedVibe 5y agoNot a bad description of the history of analysis. Turns out function spaces are absolutely full of gross things that don't quite fit nicely into your theory.
- AlchemistCamp 5y agoThank you :)
- bee_rider 5y ago> Henri Poincaré famously described them as "monsters" and called Weierstrass' work "an outrage against common sense", while Charles Hermite wrote that they were a "lamentable scourge". I wonder if there is a really long compound German word for "an achievement whose greatness is best measured by the degree to which it disgusts experts in the field."