Comment on near zero

henfredemars@infosec.pub ⁨2⁩ ⁨years⁩ ago

• Gladaed@feddit.de ⁨2⁩ ⁨years⁩ ago

  Also in Math.

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  • marcos@lemmy.world ⁨2⁩ ⁨years⁩ ago

    Unknowingly from the GP, that’s where CE got it from.

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    • Gladaed@feddit.de ⁨2⁩ ⁨years⁩ ago

      What is gp/ce?

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      • marcos@lemmy.world ⁨2⁩ ⁨years⁩ ago

        Grand parent / computer engineering

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  • Leate_Wonceslace@lemmy.dbzer0.com ⁨2⁩ ⁨years⁩ ago

    What algebra uses negative 0?

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    • agamemnonymous@sh.itjust.works ⁨2⁩ ⁨years⁩ ago

      When taking about limits, you can approach 0 from the positive or negative direction, which can give very different results. For example, lim cotx, x->0+ = ∞ while lim cotx, x->0- = -∞

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      • Leate_Wonceslace@lemmy.dbzer0.com ⁨2⁩ ⁨years⁩ ago

        Speaking as a mathematician, it’s not really accurate to call that -0.

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    • barsoap@lemm.ee ⁨2⁩ ⁨years⁩ ago

      IEEE 754

      I mean it’s an algebra, isn’t it? And it definitely was mathematicians who came up with the thing. In the same way that artists didn’t come up with the CGI colour palette.

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      • Leate_Wonceslace@lemmy.dbzer0.com ⁨2⁩ ⁨years⁩ ago

        I’m not familiar with IEEE 754.

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    • Gladaed@feddit.de ⁨2⁩ ⁨years⁩ ago

      Math is more than just the set of all algebras.

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      • Leate_Wonceslace@lemmy.dbzer0.com ⁨2⁩ ⁨years⁩ ago

        I’m aware. Algebra is what I’m most interested in, and so when someone says “0” I think “additive identity of a ring” unless context makes the use obvious.

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• PlexSheep@infosec.pub ⁨2⁩ ⁨years⁩ ago

  What do you mean? In two’s complement, there is only one zero.

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  • yetAnotherUser@feddit.de ⁨2⁩ ⁨years⁩ ago

    IEEE 754 floating point numbers have a signed bit at the front, causing +0 and -0 to exist.

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  • henfredemars@infosec.pub ⁨2⁩ ⁨years⁩ ago

    Specifically I was referring to standard float representation which permits signed zeros. However, other comments provide some interesting examples also.

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  • hungrybread@hexbear.net ⁨2⁩ ⁨years⁩ ago

    en.m.wikipedia.org/wiki/Ones'_complement

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    • mexicancartel@lemmy.dbzer0.com ⁨2⁩ ⁨years⁩ ago

      Who use ones complement?

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      • hungrybread@hexbear.net ⁨2⁩ ⁨years⁩ ago

        I assume no one at this point

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  • sus@programming.dev ⁨2⁩ ⁨years⁩ ago

    floats

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  • Zerush@lemmy.ml ⁨2⁩ ⁨years⁩ ago

    1- 0,99999…

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    • PlexSheep@infosec.pub ⁨2⁩ ⁨years⁩ ago

      Floating point numbers are not possible in two’s complement, besides that, what is your point? 0,99999999… is probably the same as 1.

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      • Zerush@lemmy.ml ⁨2⁩ ⁨years⁩ ago

        Yes, mathematically it’s the same, but in physics there’s a guy named Heisenberg who denies that 0.99999… really gets to 1. There is always this difference, for a mathematician infinite is not a problem, but for a physicist it is, plus a very big one.

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• HexesofVexes@lemmy.world ⁨2⁩ ⁨years⁩ ago

  And, as a mathematician who has been coding a library to create scaled geometric graphics for his paper, I hate -0.0.

  Seriously, I run every number where sign determines action through a function I call “fix_zero” just because tiny tiny rounding errors pile up in floats, even is numpy.

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