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https://twitter.com/Conscrit_Neuneu/status/1371470990086184963

https://twitter.com/Conscrit_Neuneu/status/1371487594530418691

https://twitter.com/BayesReality/status/1371483426990211073

https://twitter.com/gauvain_georges/status/1371506475571556354

https://twitter.com/babils/status/1371509307385262080

More from @gro_tsen

Gro-Tsen

@gro_tsen

May 30

Probably one of the most monumental achievements of human mathematics is the Classification of Finite Simple Groups (“CFSG”), a proof whose current incarnation is about 15 000 pages long spread across many articles by different authors. What is this all about? 🧵⤵️ •1/92

So, I'm not going to define what a “group” is formally (see for an attempt at an explanation), but I like to describe it informally as “a form of abstract symmetry” that an object (mathematical or otherwise) can have. •2/92

Most people are at least aware of geometrical symmetries: “in what ways can you rotate a cube by keeping its overall position fixed?” (e.g., rotate by 90° around a face, or 120° around a diagonal) is an example of a (finite) group (here with 24 elements or “order 24”), … •3/92

Read 92 tweets

Gro-Tsen

@gro_tsen

Jan 10

Twitter is, of course, a closed and centralized system. Both Mastodon/Fediverse and Bluesky/ATmosphere attempt to replicate (some of) its key features in such a way as to move (some) power away from the center. How do they differ? It's Complicated™. Ongoing thoughts: 🧵⤵️ •1/

‣ The Fediverse is easier to understand, because its model is very similar to email. You sign up to a server, which creates an identity for you, and you can use it to exchange messages. Except that messages are (usually) public, it works very much like email: … •2/

… your server stores your messages for you, receives replies from other servers and keeps a copy of them. Every server is a fiefdom unto itself: the user has no right, or even any real existence in the protocol, servers are responsible for everything, … •3/

Read 34 tweets

Gro-Tsen

@gro_tsen

Oct 26, 2024

❀ A little problem in math + voting theory. ❀

Two countries, both having N citizens, are having an election in a few weeks. In both cases, there are exactly two candidates, which we'll call “red” and “blue”. But the electoral system is different! … •1/5

In the country of Popularvotistan, it's very simple: the candidate with the more votes is elected. In the neighboring country of Electoralcollegistan, it's more complicated: the country is divided into 3 provinces, each divided into 3 regions, each divided into 3, etc. … •2/5

… down to the individual citizen level (so N = 3^k for some k); to elect the leader, the country picks the candidate who got the most provinces, and in each province it's the same (the province picks the candidate who got the most regions), and so on. •3/5

Read 5 tweets

Gro-Tsen

@gro_tsen

Jul 20, 2024

https://twitter.com/gro_tsen/status/1814386322657947726

OK, this 🔽 blew up (and I'll need to mute the thread). I can't respond to every reply individually, but there are a few common ones that deserve specific attention. So here are a few followup points. 🧵⤵️ •1/15

https://twitter.com/gro_tsen/status/1814386322657947726

First, there are number of things that I forgot to mention. Like how many homeless people were forcibly removed from Paris ahead of the games, or students being told to vacate their residence because they would be used as lodging for the games. •2/15

Or how the price of metro tickets has been suddenly doubled(!) for the games. Admittedly this is more of a tourist tax, because locals typically have monthly cards or could buy their tickets well in advance, but this is still crazy from a supposed public service. •3/15

Read 15 tweets

Gro-Tsen

@gro_tsen

Jul 19, 2024

I think non-French and non-French-speaking readers should be told about how utterly insane things are now in and around Paris because of the Olympics are. The opening ceremony is one week away and they've already barred any access to the Seine! 🧵⤵️ •1/19

The different levels of security perimeters are incomprehensible, but basically all areas within ~100m of the Seine are now completely off-limits. You can only go there, even by foot, if you live there or work there, and you need to get a special permit in advance. •2/19

Getting the permit is no sure thing: apparently some people have had their application denied (no explanations given), so they're not allowed to go where they work, or even where they live. Nobody knows what's supposed to happen to them. •3/19

Read 28 tweets

Gro-Tsen

@gro_tsen

Jun 24, 2024

En tant que Français et Canadien, je pense qu'il est nécessaire que je dise un mot au sujet du fait que les binationaux sont soudainement considérés comme suspects en France, presque des ennemis de l'intérieur. 🧵⤵️ •1/22

Je suis né en France d'une mère française, et j'ai vécu quasi toute ma vie en France, je parle français depuis que je sais parler, j'ai fait mes études en France, mes amis vivent en France, je m'intéresse à l'histoire de France, au droit français, à la langue française… •2/22

Bref, je suis non seulement légalement français, mais, que ça me plaise ou non, je suis aussi culturellement français, et, je n'ai aucune honte à le dire, j'aime profondément ce pays, au moins autant que Monsieur Bardella. Même si en ce moment j'ai du mal à en être fier. •3/22

Read 22 tweets

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