• @Leate_Wonceslace@lemmy.dbzer0.com
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    102 months ago

    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.

  • CH3DD4R_G0B-L1N
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    82 months ago

    Bit stupid we’re still calling video gaming having “no life” when it’s substantially more fulfilling than pretending to have a life you don’t for fake internet points from fake internet friends on fake internet communities. I’ve met plenty of interesting people and developed lasting relationships gaming. And it’s stimulating mentally depending on the genre. Meanwhile, I go out to social settings and see half the people sitting alone, posing with food and drinks and doing nothing but staring at their phones. Some life.