Comment on $1$

rumba@lemmy.zip ⁨2⁩ ⁨weeks⁩ ago

• bort@sopuli.xyz ⁨2⁩ ⁨weeks⁩ ago

  And that -1/12 bs is why I cannot math.

  it’s not actually math. It’s people coming up with alternative definitions and then feeling smug when their alternative definitions give weird results.

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  • PM_ME_VINTAGE_30S@anarchist.nexus ⁨2⁩ ⁨weeks⁩ ago

    it’s not actually math.

    It literally is math tho

    It’s people coming up with alternative definitions and then feeling smug when their alternative definitions give weird results.

    Yeah because these weird definitions might be useful in some other context.

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    • baltakatei@sopuli.xyz ⁨2⁩ ⁨weeks⁩ ago

      Like robbing a bartender. Or your 401(k).

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    • tdawg@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

      Ostensibly is used a lot in quantum physics

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  • marcos@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

    That’s all that math is about.

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    • Asetru@feddit.org ⁨2⁩ ⁨weeks⁩ ago

      It’s really not.

      Also, here’s a video on why that -1/12 stuff is pretty much nonsense:

      m.youtube.com/watch?v=YuIIjLr6vUA

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• Maturin@hexbear.net ⁨2⁩ ⁨weeks⁩ ago

  1+2+3… absolutely diverges to infinity. In order to get the -1/12 result you have to explicitly suspend the normal rules governing math in very specific ways. Some YouTubers for clickbait effect pretend that you are not suspending the rules to get that result. However, suspending the rules in the ways that allow for -1/12 demonstrates all these patterns that are also cool if you are a big enough nerd to think number manipulation like that is cool.

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  • rumba@lemmy.zip ⁨2⁩ ⁨weeks⁩ ago

    i stop at 0.999… == 1 thanks :)

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• TwilightKiddy@programming.dev ⁨2⁩ ⁨weeks⁩ ago

  Hello, I play with numbers:

  1+2+3+...=S
  S-S=1+2+3+4+...
       -1-2-3-...=
  1+1+1+1+...=S-S=0
  

  Moral of the story: ones together are nothing.

  Thank you for your attention.

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  • rumba@lemmy.zip ⁨2⁩ ⁨weeks⁩ ago

    let me hand you a tissue, looks like you got some ‘stuff’ in your text box

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    • TwilightKiddy@programming.dev ⁨2⁩ ⁨weeks⁩ ago

      Much appreciated. 🤧

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  • jaybone@lemmy.zip ⁨2⁩ ⁨weeks⁩ ago

    lol 1-1, 2-2 etc.

    How do you get 1 + 2-1?

    You need to distribute that minus sign to all numbers in the sequence. You can’t leave off the first one.

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    • prime_number_314159@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

      He has a plus one, and a minus one, a plus two, and a minus two, and so on. This is analogous to how conditionally convergent series can be modified to give any finite (or infinite) sum merely by changing the order of the terms.

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    • TwilightKiddy@programming.dev ⁨2⁩ ⁨weeks⁩ ago

      It’s an infinite series, love, I just moved it, there are still enough elements in them because, well, they are infinite. If you are so sad about it, write the second one as 0-S, changes nothing but now you have a donut to pair with one in the first series.

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