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@[email protected] to Science [email protected]English • 2 years ago

hahaha -1/12

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hahaha -1/12

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@[email protected] to Science [email protected]English • 2 years ago
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  • @[email protected]
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    20•2 years ago

    buffer overflow in reality

  • Setarkus.LW
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    70•2 years ago

    Explanation for mathematical illiterates?

    • magic_lobster_party
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      2 years ago

      https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_⋯

      TL;DR: in some interpretations, 1 + 2 + 3 + … equals to -1/12. This interpretation has actually found some uses in physics. In general, this is not widely accepted as it depends on a specialized meaning of the equals sign. It shouldn’t be used unless you really know what you’re doing.

      • @[email protected]
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        4•2 years ago

        I don’t like the Ramanujan explanation at all because c - 4c doesn’t equal the divergent series, since 4c is only supposed to subtract from every other number, so it has more terms at every single limit of n, and thus more terms at infinity. So c - 4c is just -3c, not a divergent series.

        • @[email protected]
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          7•2 years ago

          That’s not how infinity works

          • @[email protected]
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            4•2 years ago

            Except it is. Infinities can have different sizes, and the size of an infinity needs to be taken into account when working with them.

            Rama subtracted one infinity that is twice the size of another from it, so he subtracted twice as many numbers as his equation implies.

            • @[email protected]
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              16•2 years ago

              Infinities do have different sizes, yes. But not on that scale. Both of these are countably infinite sets.

              Think about this: there are infinitely many primes. Obviously, not every number is prime. But you can still map primes 1:1 with the natural numbers. They’re both the same size of infinity.

              • @[email protected]
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                2•2 years ago

                Not when you’re adding them together.

                c - 4c = -3 - 6 - 9 - 12…

                In order to make c the same as the divergent series you have to subtract the series:

                f = 0 + 4 + 0 + 8 …

                Which is not the same series as 4c.

                • @[email protected]
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                  6•2 years ago

                  Why not? How does that change the value?

      • @[email protected]
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        34•2 years ago

        Fr I didn’t know what I was doing and tried it … broke both of my legs and gave me a concussion.

        Don’t mess around with -1/12!

        • @[email protected]
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          1•2 years ago

          Consequences!

      • ReCursing
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        46•2 years ago

        I read that and am now more confused. Thanks!

        • @[email protected]
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          14•2 years ago

          One of those cases where “first you learn the rules. Then you can learn how to break them.”

      • @[email protected]
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        3•2 years ago

        This is how you make a black hole isn’t it?

    • @[email protected]
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      115•2 years ago

      A very wrong proof once showed that the sum of all positive integers (1 + 2 + 3 + 4…) was -1/12. In reality, the infinite sum has no solution, so this proof became something of a meme.

      • @[email protected]
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        2•2 years ago

        https://en.m.wikipedia.org/wiki/Riemann_zeta_function

      • Natanael
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        25•2 years ago

        Technically technically, in some number fields (not the natural numbers) it is correct, but since it doesn’t apply to all number systems it’s incorrect to say it’s the answer without also specifying you’re using a nonstandard number system.

        As someone else said, it’s used in quantum physics where a lot of fancy math is used in complex number fields.

      • magic_lobster_party
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        20•2 years ago

        Ramanujan was a God tier memester

      • Very_Bad_Janet
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        5•2 years ago

        Thank you!

    • @[email protected]
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      7•2 years ago

      I’m not smart enough to explain it but it’s a reference to Ramanujan Summation if you want to read about it yourself.

    • Dharma Curious
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      3•2 years ago

      If you get one, will you ping me? Lol

      • Setarkus.LW
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        2•2 years ago

        Completely forgot about this for a few days and now I’m kinda drowning in explanations :))

      • @[email protected]
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        6•2 years ago

        Ping.

        • Dharma Curious
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          6•2 years ago

          You’re a good person. Thank you.

    • @[email protected]
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      14•2 years ago

      Basically there’s this meme that 1+2+3…= -1/12, which isn’t true, but is related to something that is true.

    • blargerer
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      6•2 years ago

      https://www.youtube.com/watch?v=w-I6XTVZXww

      • Master Yora
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        9•2 years ago

        And here a presentation of why the above is wrong: https://www.youtube.com/watch?v=YuIIjLr6vUA

        It’s covered in the first 9 minutes of the video, followed by other fun math stuff related to it.

        • blargerer
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          5•2 years ago

          For context, I knew it was wrong and was more providing a source of what made the meme blow up. Your follow up video is a great one.

        • @[email protected]
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          2•2 years ago

          I love how excited this guy is. He can barely hold back and keeps giggling. It’s so endearing I had to watch the whole thing. Very interesting.

  • @[email protected]
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    3•2 years ago

    Epic

    • @[email protected]
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      4•2 years ago

      Explain please

      • @[email protected]
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        2•2 years ago

        See the posts above

      • ripcord
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        20•2 years ago

        Please is a word used in polite requests.

        • @[email protected]
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          4•2 years ago

          Thank you

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