• hydroptic@sopuli.xyz
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    10 months ago

    And mathematicians divide by multiplying!

    In formal definitions of arithmetics, division can be defined via multiplication: as a simplified example with real numbers, because a ÷ 2 is the same as a × 0.5, this means that if your axioms support multiplication you’ll get division out of them for free (and this’ll work for integers too, the definition is just a bit more involved.)

    Mathematicians also subtract by adding, with the same logic as with division.

    • bort@feddit.de
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      10 months ago

      if your axioms support multiplication you’ll get division out of them for free

      this is true… except when it isn’t.

      In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist

      https://en.wikipedia.org/wiki/Ring_(mathematics)

      • hydroptic@sopuli.xyz
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        10 months ago

        Yeah I should maybe just have written

        if your axioms support multiplication you’ll get division out of them for free*

        *certain terms and conditions may apply. Limited availability in some structures, North Korea, and Iran. Known to the state of California to cause cancer or reproductive toxicity

    • meowMix2525@lemm.ee
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      10 months ago

      Right. The cells are dividing in half, which would be represented in math form by 1/0.5 = 2. Dividing by one half is the same thing as multiplying by 2, and division in general is really just a visually simplified way to multiply by a fraction of 1.

      Any time you divide by some fraction of 1, you will necessarily end up with a larger number because you’re doubling that division which reverses it back into multiplication, much in the same way as a negative x negative = positive. If that makes sense.

      A mathematician would not be bothered by this. A high schooler taking algebra I might be though, if you phrased it the same way this post did.

  • Omega_Haxors@lemmy.ml
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    10 months ago

    Computers multiply by adding, subtract by adding, i’m not sure how division goes but i’m sure that’s addition too.

        • icydefiance@lemm.ee
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          10 months ago

          The other replies are simplifying too much. Just adding or subtracting in a loop would be far too slow.

          A multiplier will find the partial products by using AND gates, and then sum them, which is very similar to long multiplication as they teach you in school. This article explains it pretty well.

          Division is more complicated. It’s sort of done like long division, but apparently that is slow and there’s some magic with two’s complements that can make it faster. Honestly I don’t fully understand it yet.

          • SturgiesYrFase@lemmy.ml
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            10 months ago

            That article was really good. I feel like if someone explained it to me at a pub or party I could somewhat talk about it without sounding like a total ludite.

        • Omega_Haxors@lemmy.ml
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          10 months ago

          It recursively subtracts until the number goes at or below zero. The iterations is the output and the reminder is how much it went below zero.

  • Cap@kbin.social
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    10 months ago

    Clever and I get the joke and it made me smile. If I recall my biology from 20 years ago I think the cell makes duplicates of its chromosomes then splits apart. So you have two cells inside one membrane that separates, 2 / 1 = 2. The way I first thought about it was one cell splitting in half, so half goes to one cell, the other half with the other, 1 / .5 = 2.

    In short, I think the math works out fine, but the language you use to describe it can lead to comedy gold. You could say cells reproduce by division? I don’t know, I’m not a biologist or mathematician. I’m a toilet poster.

  • faintwhenfree@lemmus.org
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    10 months ago

    No comments about Amitabh Bachchan’s use for meme. Well it should have been a long time coming, I’m glad that it’s now here.

    • Rascabin@lemmy.ml
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      10 months ago

      Bollywood itself is a meme 🤭. Just watch their version of The Matrix. Dude starts singing with “Trinity”, like wtf!??

  • OpenStars@startrek.website
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    10 months ago

    That’s the problem whenever math meets physics: the former wins in the theory, but in the real world physics always triumphs:-).