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Cake day: June 5th, 2023

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  • I’ve dabbled with Lutris and Heroic. But Lutris only showed me the Windows patches during its update (which obviously don’t work).

    Heroic on the other hand doesn’t work as well as I’d hoped. All operations take a really long time and some of my GOG games don’t show at all (in Lutris they’re appearing). I’m using the current version 2.13.0.

    And even if it works, I’d be interested how Heroic implements its update mechanism for Linux native games since it should have the same issue regarding available data :)




  • Jenztsch@feddit.detoScience Memes@mander.xyzMagic π
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    10 months ago

    Take a look at 0.101001000100001… This number is also non-repeating, but obviously doesn’t contain all numbers with finite digits.

    The property you’re looking for is called to be a normal number. Pi is assumed to be one, but it hasn’t yet been proven.

    However, in a sense this is an unremarkable property as almost all real numbers are normal. :)


  • Your fact is correct, but the mind-blowing thing about infinite sets is that they go against intuition.

    Even if one might think that the number of odd numbers is strictly less than the number of all natural numbers, these two sets are in fact of the same size. With the mapping n |-> 2*n - 1 you can map each natural number to a different odd number and you get every odd number with this (such a function is called a bijection), so the sets are per definition of the same size.

    To get really different “infinities”, compare the natural numbers to the real numbers. Here you can’t create a map which gets you all real numbers, so there are “more of them”.