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Joined 2 年前
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Cake day: 2023年8月21日

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  • Okay, so I had a personal project for a long time that addressed the potential for an algebra that allowed for the multipicitive inverse of the additive identity.

    In the context of the resulting non-associative algebra, 0/0=1, rather than 0.

    For anyone wondering, the foundation goes as such: Ω0=1, Ωx=ΩΩ=Ω, x+Ω=Ω, Ω-Ω=Ω+Ω=0.

    A fun consequence of this is the exponential function exp(x)=Σ((x^n)/n!) diverges at exp(Ω). Specifically you can reduce it to Σ(Ω), which when you try to evaluate it, you find that it evaluates to either 0 or Ω. This is particularly fitting, because e^x has a divergent limit at infinity. Specially, it approaches infinity when going towards the positive end and it approaches 0 when approaching the negative.

    There’s more cool things you can do with that, but I’ll leave it there for now.















  • Leate_Wonceslace@lemmy.dbzer0.comtoMicroblog Memes@lemmy.worldQuick thinking
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    10 个月前

    No, I care about meaning. The problem is there’s lots of people who argue about words and ignore the meaning.

    Like calling me a “liberal” wtf does that mean? You don’t know a damn thing about me. But I’m a “liberal”.

    The thing you said doesn’t mean anything. They’re empty words. “social democracy is a liberal doctrine” is an utterance empty of content.