Wikipedia:Reference desk/Archives/Mathematics/2015 August 14

= August 14 =

What set of numbers is T?
I know R,  Z,  N, and  Q, but what is  T? Bubba73 You talkin' to me? 17:41, 14 August 2015 (UTC)
 * Context? --JBL (talk) 18:53, 14 August 2015 (UTC)
 * That will be "numbers". The OP lists real, integer, natural and rational. I have no idea what T is. -- SGBailey (talk) 21:49, 14 August 2015 (UTC)
 * T as in $$\mathbb T$$ is a frequent notation for the circle group, which is sometimes identified with the set of complex numbers of modulus 1. The T here is meant to signify "torus", and so one often sees this in situations where other algebraic tori are considered, such as $$\mathbb T^2,\mathbb T^3$$ and so forth.  S ławomir  Biały  23:11, 14 August 2015 (UTC)


 * Some context " ...does not merely yield some form of quasi-periodicity but actually seems to give rise to a nontrivial measure on T. ... (and some mention of Q) ... " ... the egrodicity of irrationals on T implies that the distribution function ... ". So I don't really understand it.  Bubba73 You talkin' to me? 06:16, 15 August 2015 (UTC)


 * This is in reference to the equidistribution theorem on the circle group $$\mathbb T=\mathbb R/\mathbb Z$$.    S ławomir  Biały  12:31, 15 August 2015 (UTC)


 * OK, I think that makes sense in the context of the paper. Thank you.  Bubba73 You talkin' to me? 15:32, 15 August 2015 (UTC)