Comment on topology

NeatNit@discuss.tchncs.de ⁨3⁩ ⁨weeks⁩ ago

• PotatoesFall@discuss.tchncs.de ⁨3⁩ ⁨weeks⁩ ago

  same… 3² is 9, 1 mod 4 is… 1?

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  • mathemachristian@hexbear.net ⁨3⁩ ⁨weeks⁩ ago

    3^2^ (mod 4) = 9 (mod 4) = 1 (mod 4)

    is whats meant I presume

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  • NeatNit@discuss.tchncs.de ⁨3⁩ ⁨weeks⁩ ago

    The big domino is the question.

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    • silent_water@hexbear.net ⁨3⁩ ⁨weeks⁩ ago

      there are exactly 4 division algebras (over the field of real numbers): the real numbers, the complex numbers, the quaternions, and the octonians. you can’t add any more complex parts because you lost associativity with the octonians. I’m not entirely sure how the first domino leads to the last, though.

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  • Leate_Wonceslace@lemmy.dbzer0.com ⁨2⁩ ⁨weeks⁩ ago

    Modulo arithmetic is basically numbers that go in circles instead of in a straight line. 4 is equivalent to 1 in mod 3 because there’s some integer n such that 3n+1= 4.

    In general: in modulo base b, x mod b= y iff there exists an integer n such that bn+y=x.

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• fossilesque@mander.xyz ⁨3⁩ ⁨weeks⁩ ago

  oop

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• Leate_Wonceslace@lemmy.dbzer0.com ⁨2⁩ ⁨weeks⁩ ago

  Modulo arithmetic is basically numbers that go in circles instead of in a straight line. 4 is equivalent to 1 in mod 3 because there’s some integer n such that 3n+1= 4.

  In general: in modulo base b, x mod b= y iff there exists an integer n such that bn+y=x.

  source