3 ms·

They do over the domain 360*Z_719

• astrange 3y ago
  If it's supposed to be degrees, then since 360==0 doesn't that mean the range is [0,360) so 360 degrees is actually an out of range value for an angle? I've always wondered this but never enough to ask it.
  • opportune 3y ago
    Z_719 is the shorthand for integers in [0, 718], with Z_n typically connotating the algebraic group or ring of integers up to n. In this case 360(Z_719) is an ideal (https://en.wikipedia.org/wiki/Ideal_(ring_theory) https://en.wikipedia.org/wiki/Ideal_(ring_theory)) over that domain. While the ordered sequence of Z_719 is just {0, 1, 2... 718} then wrapping back around to 0, for the ideal 360(Z_719) you get {0, 360, 360*2 % 719 = 1, ...} which is the basis of my joke :)