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.
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Using an oracle always does
I feel like an obvious one is missing: oracle
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.
Is this meme mirrored?
Have you talked to othet climbers about whether this is an issue that sort of goes away after some experience? If it’s going to cause you significant physical harm, I’d say look for other activities. If it’s just discomfort or something that goes away with experience, I say keep going considering you love doing it.
For sports with a problem solving aspect, I’m not sure whether sweeping is the most physical intensive activity, but curling is basically a sport that comes with a fun physics/geometry problem attached. Just don’t become a skip if you want the exercise (they don’t sweep).
easily decades ago
Decades ago (in the early 2000s) it was considered settled science and taught in schools (in Canada at least). It was studied by scientists at oil companies decades before that. It’s been known for like 50 years now, almost an entire lifetime.
Ash Williams moves to the suburbs
Is your neighbour dual-wielding lawnmowers?
Maybe, but for Civ 6 specifically the launcher came out a few years into the game’s lifespan, so I’m not sure they were doing it for whatever marginal revenue benefit that would be. I’d imagine selling DLC without Steam or whatever storefront getting a cut might be a motivating factor.
Quanta magazine is actually excellent for math and physics.
Trans scientist inventing a gender that observes a different speed of light in different inertial reference frames.
Well in a way it does…