Well in a way it does...
hexaflexagonbear
joined 4 years ago
Pythagorean theorem has over 100 proofs, they are just geometric one, this is the first trigonometric one. The reason it is impressive is that the pythagorean theorem is foundational to trigonometry, so any attempt at a trigonometric often calls on the pythagorean theorem implicitly.
it's just something we didn't think was possible being proven possible.
The theorem was proven thousands of years ago, I think it's the particular method didn't seem possible to be used to prove the theorem. Specifically much of trigonometry uses the pythagorean theorem as a foundation, so the fact the proof was constructed without needing anything that depended on the pythagorean theorem is what was difficult. Definitely a cool start for a math career, it's generally how mathematicians approach math research, i.e. the proof being the the focus even if a theorem is established. I doubt it'll be revolutionary by any means, and it's annoying for media to sell stuff like this, it is extremely impressive to do this, and especially as a high schooler, even if there isn't some quantifiable impact.
With the help of AI changes to basic knowledge could get more frequent.
Fight Club (1999)
I'd say same map but some parts of Europe are being cool. Like, fucking France??
Yeah but some people find them boring to look at so we have to keep building prisons instead.
Feel weird correcting a meme, but that should be f(x)-L where x is between x_0 - delta and x_0 + delta. As written it looks like a definition that would only work for monotone functions.
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Think the person who posted that is Daniel Litt, math prof at UofT. Good follow on twitter, lots of little math related humour, and he posts some fun probability problems sometimes.