Comment on Hope you like math

Entitle9294@lemmy.world ⁨2⁩ ⁨days⁩ ago

• Opisek@lemmy.world ⁨2⁩ ⁨days⁩ ago

  In means you can map every element bijectively to one from the complex field AND addition and multiplication can be performed in either field without leading to contractions, i.e. a+b=c <=> f(a)+f(b)=f(a+b)=f© and equivalent for multiplication. This is the part that the meme fails to consider, because nowhere is addition or multiplication for this novel field defined.

  source

  • mfed1122@discuss.tchncs.de ⁨2⁩ ⁨days⁩ ago

    “i do not give a single fuck” implies an additive identity fuck, and “I don’t give two fucks” implies a multiplicative identity fuck. That’s a start at least!

    source
  • Entitle9294@lemmy.world ⁨2⁩ ⁨days⁩ ago

    I’ll give this some attention when time permits because this does not make things clearer, lol.

    I’ll start with what a field is and a complex field 🤞

    source

    • DisguisedJoker@lemmy.world ⁨2⁩ ⁨days⁩ ago

      ELI5: it means that for every number there’s a matching fuck and vice versa.

      source

      • Eq0@literature.cafe ⁨2⁩ ⁨days⁩ ago

        Not only for any number of fucks there is a corresponding complex number, but the basic operations (+, -, x, /) work in the same way for fucks and complex numbers

        Overall, if two things are isomorphic you can consider them «  the same »

        source
    • Opisek@lemmy.world ⁨2⁩ ⁨days⁩ ago

      Good luck!

      source
  • Atlas_@lemmy.world ⁨2⁩ ⁨days⁩ ago

    Hmmm. But what if fucks aren’t fungible?

    source