Comment on topology
NeatNit@discuss.tchncs.de 7 months ago
I will need some context for this, I’m afraid.
fossilesque@mander.xyz 7 months ago
Leate_Wonceslace@lemmy.dbzer0.com 7 months 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.
PotatoesFall@discuss.tchncs.de 7 months ago
same… 3² is 9, 1 mod 4 is… 1?
mathemachristian@hexbear.net 7 months ago
3^2^ (mod 4) = 9 (mod 4) = 1 (mod 4)
is whats meant I presume
NeatNit@discuss.tchncs.de 7 months ago
The big domino is the question.
silent_water@hexbear.net 7 months 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.
Leate_Wonceslace@lemmy.dbzer0.com 7 months 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.