As someone who has met a lot of math majors and a lot of CS majors, I am skeptical of your supposition that CS majors are better at finding and applying novel abstractions than math majors who know how to code.
I didn't watch it myself, but there was a recent Netflix documentary on the subject where Magnus claims he was misled by chess.com into believing that they had more concrete evidence than they did.
Why does its use in production matter? Perhaps the syntax itself is obscure, but we're not discussing syntax but general awareness. Anyway, the most common "real" use of brainfuck is to prove Turing completeness of other things by finding a way to compile them into brainfuck.
What? Brainfuck is the single least obscure esoteric programming language. It's the most famous example of a simple Turing complete language and its provocative name gets it a fair amount of media coverage outside its niche.
This is true, but the crushing response to this scandal is clearly disproportionate. Millions of views on videos making crude sexual jokes about a 19 year old is already an incredibly unfortunate situation, and his career got completely halted for years due to (what are now clearly) false accusations.
I have no idea why this continues to be a popular opinion among laypeople. Even at the time actual cheating experts using computer analysis determined it to be likely fair play. His accuracy was rather pedestrian, Magnus just had on off day and played terribly. There is no proposed mechanism for how he could even HAVE cheated. He has continued to perform at a similar level under much tighter security enforcement. The primary accusation seems to be that he's poor at explaining the reasoning behind his moves, but anyone who's ever watched a Hans stream can tell you that the man simply cannot speak.
Regarding general knowledge, it's a pretty well known phenomena within the community. Here's a video with the three players who spent the longest time at #2 in the world (see [0]) behind Magnus Carlsen answering basic trivia questions[1].
A lot of players actually do go to college, although likely a minority. I know that Maxime Vachier-Lagrave in particular has a math degree. Ding Liren has a law degree. Daniel Naroditsky himself, while not quite a top grandmaster by the typical definition, had a bachelors in history.
Slight mistake in equation (1) (or maybe it's supposed to be a narrative decision?), the inner product of Av_i with itself should end up being s_i^2 and not 1. The vectors u_i are orthonormal, but Av_i = s_i u_i, not just u_i.
> Same transformation. Same map on every actual vector. But now it looks like an arbitrary tangle of scaling, shearing, and sign flips — you’d never guess it was just “stretch x by 3.”
I have a very hard time imagining a human writing this if they weren't intentionally attempting to sound like an LLM.
Exceedingly unlikely. This was one of the more discussed Erdos problems, and multiple experts have attested to the technique's novelty. If you're referring to the lack of comments on the erdosproblems website, that doesn't really mean much. From its own blog[0], the site was only started in 2023 and only really gained momentum as a place to discuss AI solving attempts, you aren't going to see serious mathematicians discussing the problems there even if there have been significant efforts to solve it.
The reason plants capture energy from this range is because that's where most of sunlight's energy is concentrated, which is going to drop this quite a bit further. Glancing at a solar radiation spectrum curve makes it look a lot closer to ~1.5x. Combine that with inefficiencies of both the panel and the LEDs and it really doesn't look that good.
This preprint was written by a researcher at an accredited university with a PhD in physics. I'm sure they know what a vector valued function is.
The point of this paper is not to revolutionize how a scientific calculator functions overnight, its to establish a single binary operation that can reproduce the rest of the typical continuous elementary operations via repeated application, analogous to how a NAND or NOR gate creates all of the discrete logic gates. Hence, "continuous mathematics" as opposed to discrete mathematics. It seems to me you're being overly negative without solid reasoning.
This is an incredibly ironic comment. "Freestyle" chess was an attempt to do exactly this with Magnus's support, and it failed to secure funding after its initial run. This event is them running back to FIDE in shambles to salvage their tour. Kasparov attempted something similar in the 90s, making his own world championship title, and similarly failed horribly.
The stability of a 100+ year old international organization that's led by serious politicians with connections in every major country is hard to contend with. FIDE's current president was Russia's Deputy Prime Minister for 6 years.
> Also his current rating is higher than either Karpov’s or Kasparov’s were when they first won the title. His rating when he first won was about the same as Fischer’s when Fischer first won.
This doesn't really mean anything. Rating is a purely relative system, as in the other thing that matters when performing Elo calculations is the difference in Elo between the two players. The absolute value of an Elo rating carries no real meaning and drifts over time based on the volume, skill level, and initial rating of lower level players. Since these change frequently, it's pretty much useless to compare ratings separated in time by more than a decade or so, maybe less. 50+ years is certainly far too long.