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InitialsDiceBearhttps://github.com/dicebear/dicebearhttps://creativecommons.org/publicdomain/zero/1.0/„Initials” (https://github.com/dicebear/dicebear) by „DiceBear”, licensed under „CC0 1.0” (https://creativecommons.org/publicdomain/zero/1.0/)LS
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2 yr. ago

  • no, there aren't enough integers to map onto the interval (0,1).

    probably the most famous proof for this is Cantor's diagonalisation argument. though as it usually shows how the cardinality of the naturals is small than this interval, you'll also need to prove that the cardinality of the integers is the same as that of the naturals too (which is usually seen when you go about constructing the set of integers to begin with)

  • actually you can for each real number you can exhaustively map a uninque number from the interval (0,1) onto it. (there are many such examples, you can find one way by playing around with the function tanx)

    this means these two sets are of the same size by the mathematical definition of cardinality :)

  • that's just a fancy way of saying:

    imagine you have two children and live in a system of gavelkind succession. now consider the share of one of the children. then forget the children and make that share the new bank balance

  • I'm sure you do :)

    That being said, by choosing not to break gender norms, are you not helping reinforce what an idea of female is?

    (OK, maybe I'm going round in circles here)

    Anyway, you have a lovely day :)

  • Explain Like I'm Five @lemmy.world

    Why are CAs important if anyone can get their certificate signed for free?

    Explain Like I'm Five @lemmy.world

    Why do SSDs have a more limited number of times data can be written to them, but RAM memory can handle loads of re-writes?