This is true but usenet and mailing lists were a way to scale your professor's office hours. Which is to say that they were good at telling you to solve the precise thing you are struggling with, while simultaneously asking "what don't you get about this?!"https://twitter.com/katzmandu/status/982262800956383233 …
-
Show this thread
-
Some great thinker once said that after a cataclysm books would be what remains to rebuild humanity. Actual books: "Here is one of the world's most important theorems." Also Actual books: "The proof is left to the reader."
5 replies 4 retweets 35 likesShow this thread -
Sometimes I think about Évariste Galois, who effectively invented a form of algebra that was decades ahead of its time, all by the young age of 20. He also did this while desperately in love, and subsequently died in a duel because of those feelings. I will never be that smart.
5 replies 2 retweets 30 likesShow this thread -
Seriously though, I cannot stress enough how ahead of its time Galois theory was. It took decades to fully explore its impact. It turned a problem that had been standing for 350 years on its head. It is, today, the topic of advanced graduate courses.
1 reply 0 retweets 14 likesShow this thread -
Galois' proof of the non-solvability by radicals of the general quintic is so brilliant that it almost makes me want to shift to become an algebraist. It's what Erdős may have called a "proof from The Book."
1 reply 0 retweets 13 likesShow this thread -
(I should actually look up if he said that) Galois' proof came chronologically after the results by Abel and Ruffini, so we still call the proof the Abel-Ruffini Theorem today. But their solution was a sledgehammer and Galois' was artful.
2 replies 0 retweets 14 likesShow this thread -
It's interesting that the Abel-Ruffini Theorem implicitly comes up in data science all the time and we don't ever realize it. A consequence of the result is that the eigenvalues of a general matrix of degree 5 or greater cannot be computed non-iteratively.
2 replies 2 retweets 23 likesShow this thread -
Replying to @EmilyGorcenski
...you know, I never realized that despite so much linalg background even tho it's obvious once you realize the characteristic polynomial is, well, a polynomial.
2 replies 0 retweets 4 likes
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.