#TIL that there's a 22-mile long race in Wales called “Man v Horse” that, as its name suggests, has both humans and equine participants (well, with riders). And sometimes, albeit rarely, a (non-rider) human wins, like this year. bbc.com/news/uk-wales-…
Me, I'm waiting for the “Man v Sloth” race so I can finally have a chance to compete with like mammals.
I have to say, though, the “Man v. Horse ” race is a bit unfair on the horses, because they're supposed to carry a human on their back, whereas nobody is asking the humans to carry a horse on their shoulders. #LetsMakeTheRaceFair
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One question in philosophy(?) of mathematics which I keep asking myself about is this:
‣ Why are there pseudorandom generators but not pseudogeneric generators? And what would a pseudogeneric generator even look like?
Let me explain a bit more. •1/22
There are lots of parallels between the two concepts of “random” (sequence, real number, etc.) and “generic” (ditto). They are not the same; in fact, they are incompatible (a random sequence is NOT generic, and vice versa), but are similar in many ways. What are they? •2/22
What “random” and “generic” mean exactly depends on the context: they don't have the same sense in set theory and computability (the set-theoretical notions of randomness and genericity are much stronger than the computability-theoretical ones), but there's a common theme. •3/22
I ran my sequence of 19 prompts for AI image generators (being tried for the third time now) on “DALL·E mini” at huggingface.co/spaces/dalle-m… and here are the results. ⤵️
(Note: “DALL·E mini” returns a set of 9 images: I always took the one top left for fairness — in order not to add human selection to the generation. It should be said that sometimes there were some way better images in the set. Also, the images are very small, 256×256.)
This is a good question: given p≤q rational numbers, how to algorithmically find the smallest positive integer k such that there is a rational number n/k with denominator k and lying between them, p ≤ n/k ≤ q (that is, [k⋅p,k⋅q] ∩ ℤ ≠ ∅)? mathoverflow.net/q/424495/17064
As noted in the comments, it's probably doable with a continued fraction algorithm, but I'm not sure how to make it precise.
Bon, puisqu'on fait semblant de croire que le tweet sous-cité se veut pédagogique et que je suis incapable d'expliquer quelque chose clairement, voici une tentative de raconter les bases fondamentales de la thermodynamique à tout le monde, en un fil pas hyper long: 🧵⤵️ •1/24
‣ Le PREMIER principe de la thermodynamique affirme qu'il y a un concept appelé «énergie», qu'on ne peut ni créer, ni détruire, mais seulement déplacer et transformer. L'énergie se conserve, donc: s'il y en a qui apparaît qq part, c'est forcément qu'elle vient d'ailleurs. •2/24
Un moteur, par exemple, transforme de l'énergie électrique en énergie mécanique. Une pile, de l'énergie chimique (stockée dans la pile) en énergie électrique. Mais par exemple si on freine une voiture, où part l'énergie? Elle se transforme en chaleur dans les freins. •3/24
Some conspiracy theories which still have to catch on (non-exhaustive list):
‣ There is not, and has never been, such a science as mathematics; numbers don't exist and make no sense. It's all a drunken hoax started in 545BCE by Pythagoras, and which got out of hand.
‣ Computers don't work, never have, and never will. If they sometimes appear to, it's because little gnomes inside play a trick on us.
‣ America doesn't exist. It's all just a terrible misunderstanding based on a bet between Amerigo Vespucci and Martin Waldseemüller. To all the people living in this nonexistent continent, we're very sorry and won't do it again.
La phrase «la nature est parfaite dans son fonctionnement» est un exemple magnifique de ce qu'on peut appeler la naturolâtrie (souvent à tendance sectaire). [Tweet id: 1530989490101174285]
Je ne sais plus qui prenait l'exemple du ver de Guinée ou peut-être Loa loa: si on pense que «la nature est parfaite», il faut sans doute condamner les efforts de Jimmy Carter pour éradiquer le premier, ou expliquer aux gens qui deviennent aveugles à cause du second …
… que la parfaite nature dans son parfait fonctionnement a voulu que ce parfait ver se développe dans leur parfait œil, et qu'ils n'ont pas à se plaindre. Que je trouve cette attitude répugnante est peu dire.