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

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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. Sławomir
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 $\mathbb {T} =\mathbb {R} /\mathbb {Z}$. Sławomir
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)

Resolved