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@ davidagain @lemmy.world

Posts
5
Comments
985
Joined
3 yr. ago

  • Well, the corporations have freedom.

  • Apart from lemmy, so far.

  • Elm, which is the loveliest language ever.

    But I'm not sure if compiles to javascript counts as compiled, in which case haskell, which is considerably less lovely but still good.

    Roc isn't finished, but it might turn out lovely, I don't know.

  • In the nineties it produced the cleanest .rtf output of all the editors. Word makes toxic .rtf that unnecessarily turns formatting off and on at every line break and elsewhere too.

    If it weren't for wordpad I wouldn't have learned how to output .rtf from my code.

    RIP WordPad.

  • Now I had a mischievous long chuckle on the bus and the old ladies near me are a bit worried about me!

  • I don't think people are upset because he broke the law, that's a separate ref flag, they're upset because he did whatever he could to reduce wages for ordinary Americans and boost profits for himself. It's shitty and he's saying it out loud.

  • Imagine

  • You're very right.

  • 2D: If you draw a perhaps wobbly circle shape (loop) on the ground, it has an inside that you can colour in. If your loop is elastic, it can contract to be all in a tiny heap. Topologists call this "simply connected".

    3D: The water on your bath is also simply connected. Your elastic loop, whatever its shape, can shrink back down to tiny.

    2D: The surface of your tennis ball is simply connected because any elastic loop on its surface can shrink to nothing, but the surface of your ring donut isn't, because you could cut your elastic and wrap it arround the donut and it couldn't shrink because the donut would stop it. Ants living on the surface of the donut might not immediately realise it wasn't simply connected because they'd never drawn a big enough loop to find out that it couldn't be shrunk.

    3D: The solid donut is also not simply connected, because the ring could contain an elastic band that goes all the way around the ring and back to the start, and it couldn't shrink to nothing because it would have to leave the donut.

    2-Manifolds: a 2-manifold is some kind of surface that doesn't have an edge and when you look up close it looks like it's flat-ish. You could make it by sticking lots of tiny sheets of rubber flat to each other but there's not allowed to be an edge. The simplest 2-manifolds are an infinite plane, the surface of a ball and the surface of a donut. The small ones are called closed. The technical reason for that is to do with not having any edges but still being finite, but you can think of closed to mean finite.

    Manifolds may not be as the srrm: If you live in a 2-manifold you might not immediately realise that it's ball surface and you might not realise it's a donut surface. If you have a computer game from yesteryear where when you go off the top of the screen you come back on at the same angle and position on the bottom of the screen, and the same for left and right, that's actually got the same layout as the surface of a donut. To help you see that, imagine your screen was triple widescreen and made of rubber. Roll it up to glue the top to the bottom and then glue the two ends of the tube to each other. You haven't changed the game play at all but now you can see it's the surface of a donut shape.

    3-manifolds: anything that looks like 3D space up close is a 3-manifold. The simplest 3-manifolds are an ordinary infinite 3D space, a 3-sphere, which is like the 3D version of the surface of a ball, but it's hard to imagine the 4D ball it's wrapped around, and the 3D version of the computer game.

    The universe: It looks simply connected, but we can't see that directly, because maybe there's a very long loop we haven't gone on yet that gets back where you started without being shrinkable. This is hard to imagine, but it could be like being in the 3D version of the computer game where there's a long loop that can't shrink because it goes through one side of the screen and comes out the other before coming back. It can't be shrink at all, especially not to nothing. The universe is a 3-manifold.

    The Poincare conjecture says that every simply connected "closed" (finite) 3-manifold is essentially the same as the 3-sphere. If ALL your loops shrink, no matter how big, and the universe is finite and has no end wall, then it's the 3 sphere.

    Mathematicians have been trying to prove that it's true for a long long time, and there was a 1M USD prize for proving it that this guy turned down. The prize was largely unnecessary because lots of mathematicians were trying to prove it anyway because it's so famous and enticing.

  • And 3 to 25 bunches is between 30 and 250 apples gone bad, so that A few bad apples could spoill half of the apples, and there you have the problem with the police force, especially of the USA where officially it's not a crime to drive a car whilst having dark skin tone but you can definitely still be summarily executed for it.

  • Stop!

    Jump
  • This is the kindest thing. Thank you so much.

  • Stop!

    Jump
  • <3

  • That's path connectedness. Convex shapes are ones in which any two points can be joined by a straight line internal to the shape.

  • A crescent isn't a convex shape though, and ironically you left out the word 'straight' in your rule about convex.

  • Republicans think misgendering people is all fun and games until it happens to them.

    Republicans think denying women healthcare if they miscarry it's a good plan until it happens to their loved ones.

    Republicans think that having an abortion is a decision full of hate and evil until their daughter wants one.

    Republicans think that having active shooters in schools is a mildly unfortunate consequence of important gun freedoms until it happens in their children's schools.

    But also republicans are surprised and hurt that their good republican friends aren't supportive when they are the victim of republican behaviour and politics.

    "It's not a problem unless it's happened to me" is why people are right wing. It's being self absorbed turned into a political movement for the advancement of shareholder profits.

  • Thank you for this.

  • It's everything to do with it. Read some of the other replies.

  • It's still going! That's fantastic.