zcdfhn Messages 23 Reaction score 0 Thread starter Apr 22, 2009 #1 I was wondering what Q/Z, or the rational numbers modulo the integers. I am struggling to visualize what the cosets may be. Thank you for your time.
I was wondering what Q/Z, or the rational numbers modulo the integers. I am struggling to visualize what the cosets may be. Thank you for your time.
Hurkyl Staff Emeritus Science Advisor Gold Member Messages 14,922 Reaction score 28 Apr 22, 2009 #2 If we represent an element of Q/Z by a rational number, only the fractional part is significant. i.e. -3/4, 1/4, and 5/4 all name the same element of Q/Z.
If we represent an element of Q/Z by a rational number, only the fractional part is significant. i.e. -3/4, 1/4, and 5/4 all name the same element of Q/Z.
zcdfhn Messages 23 Reaction score 0 Apr 22, 2009 #3 Oh ok i think I get it, so rational numbers that are the same signed fractional distance from an integer are in the same coset of Q/Z?
Oh ok i think I get it, so rational numbers that are the same signed fractional distance from an integer are in the same coset of Q/Z?