I'd call P = NP computer science rather than math, but perhaps it's reasonable to call it sufficiently on the theoretical side of CS that it really is math.
For what it's worth, it's not a problem with multiple kinds of multiplication (multiplication by a scalar can be viewed as multiplication by a specific kind of matrix), but with the idea that one can cancel in a multiplication. Since you can't cancel in matrix multiplication, you run into unexpected trouble when you try to do so, even if that's the only multiplication in sight. (In fact, you can't cancel in scalar multiplication either unless you've checked that you aren't multiplying by 0 …. Also, I'll note that surely no young mathematician has encountered the P = NP problem without thinking for a sophomoric moment that the solution is N = 1.)
I'd way rather read a translation in which the author themselves has played a part, and at least nominally signed off on it, than one done on the fly with even less than usual guarantee of its correctness.
(I agree that authors should be able to publish in their first language, but I also note that the historical practicality has been that publication in non-dominant languages has resulted more in silos than in broadening access.)
It seems to me like we're saying the same thing. I'm saying that there is a practical bias, as in, it's there in the real world whether we like it or not, that can prevent some papers from appearing just because of limitations on English-language fluency, not because of any lack of scientific content. One solution is to get rid of it, but that's a long-term project. If we have an immediate remedy that works, if the authors still take responsibility for the scientific content, and if the use of the tool that provides that remedy is responsibly disclosed, then it seems like a win all around, except perhaps that it makes the need for the longer-term solution less obvious.
Which part is a sin? Using LLMs to deal with a lack of English-language fluency? I am a scientist (actually a mathematician, if it matters), and, if that's the way to deal with the practical hegemony of English in the scientific literature, then I have no problem with it. Rather that than people with important ideas can't get them before the scientific community. As long as the authors personally check and stand behind the scientific content of their papers, what do I care how the exposition was produced, especially if the role of LLMs is properly disclosed?
Depending on your mathematical background, it may be easier to get a grasp on Tannaka duality, of which I assume, but don't know, this may usefully be viewed as a (possibly too) vast generalization.
The article mentions one reason for small numbers predominating:
> The first is listicles. “3 ways to do X”, “5 things I wish I’d known”, “10 tools I actually use”. The listicle is practically the native unit of the link post, and its count is almost always small and round. Nobody writes “17 things I wish I’d known” unless they genuinely have 17 things, which is rare, whereas “5 things” is a decision made in a title editor.
But doesn't the title mangler specifically try to strip out numbers that look like they're part of listicle titles?
That's only for individual usage, which, I assume, is small potatoes compared to institutional usage. No major research institution is going to use piracy as an institutional policy, and neither is it going to boycott Springer, since at least some researchers would put up a fuss—because you don't just need access to lots of papers, sometimes you need access to that specific paper.
I don't mean to pick on an irrelevant detail, but I genuinely don't know how to parse ">10x fewer deaths per capita." Does it mean "fewer than 1/10 as many deaths per capita," i.e., the ratio (heat related deaths in Nevada per capita)/(heat related deaths in Greece per capita) is less than 1/10?
> > Parquet is unfortunately very good just by virtue of being first, and so widely supported
> IMO that is not how technology works. It is great that Parquet is so good at a lot of things, but that does not mean just because it came first that it deserves to be the only analytic file format forever.
I think you and vouwfietsman (https://news.ycombinator.com/item?id=48649412) are actually saying the same thing in different words—I think their "unfortunately" means "it is unfortunate that, by virtue of coming first, this now has a support lead that will make it difficult for anyone else to catch up."
> In what sense? Emacs is a Lisp interpreter with a text editor embedded in it - one can fully emulate Neovim features in it, the opposite is hardly possible - you can bolt Lisp interpreter on top of Neovim, but it won't be the same.
Unless this is specifically what you want to do with Neovim, in which case you'll probably just use Emacs anyway, Neovim's inability to do this is probably not a strike against it. As royal__ says (https://news.ycombinator.com/item?id=48537120), they are just interested in a good text editor, not in raw computational power.
Certainly! I was intentionally hedging my bets with 'most' in "for most values of 'every other editor out there.'" I'd still argue that, for very large values of 'most,' most editors in widespread use today came after vi.
> I wouldn't dislike vim's modes so much if it just had one combination insert/append mode that worked like every other editor out there (including a couple other modal editors I've used), but even after adding various hacks to my vimrc to help unify the two modes, I still stumble over the behavior differences in other places.
To be fair, for most values of "every other editor out there," they came after vi (if not after vim), so it's not like vi was discarding existing wisdom.
Yes, I intentionally left out the next part of the quote about graduate school, since that seems more accurate. I was disputing only the part that I took to be pertaining to undergraduate education. The full quote is:
> This starts to break down in college when the professors often at best only slightly ahead. (they have more knowledge and experience - but in a slightly different area and so it isn't relevant to the depth of whatever is under consideration) Grad school is about advancing the state of the art - if you don't know more than your professor you are doing it wrong.
> This starts to break down in college when the professors often at best only slightly ahead. (they have more knowledge and experience - but in a slightly different area and so it isn't relevant to the depth of whatever is under consideration)
I can't speak to the humanities, but this estimation is just not true at most universities in the sciences. (EDIT: As cycomanic emphasizes below (https://news.ycombinator.com/item?id=48477683), the part of the original comment pertaining to graduate education is more reasonable. I am speaking here only of undergraduate education.)
From that perspective, the problems are lawlessness and petty crime, not the graffiti. I would not feel safer in a place just because it had reduced the symptoms of those things, unless it had also reduced those things themselves, in which case the latter is the accomplishment.
> Why? Do the riches cities have the poorest poor or is it generally the richest cities have the both the richest poor and the most support for them.
I don't know. Do you? If the latter answer is correct and it's backed up by quantitative evidence, then I guess that I have to accept at least some form of the corollary, although there are still games that one can play with measurement (for example, it's possible that being numerically richer in those richer settings can still result in poorer overall quality of life).
> Respect for property rights is highly correlated with prosperity and that includes prosperity for those without property.
I think that this sounds good and is a sensible hypothesis, but it's far from clear to me that the corollary of prosperity for those without property is true in practice.