1

I am reading an engineering paper and it references a "T" set in the same way that one would reference the set of complex numbers with $\mathbb{C}$, or the set of real numbers with $\mathbb{R}$". What is this set? I can't find it in any list of set symbols.

Asaf Karagila
  • 393,674
Spencer
  • 11

1 Answers1

1

$\mathbb{T}$ is sometimes used to denote the circle group, also known as $S^1, U(1)$, or $SO(2)$. This is the group of complex numbers of absolute value $1$ under multiplication.

Qiaochu Yuan
  • 419,620
  • 1
    That's the first thing that came to my mind. But without knowing what paper it is, I don't think it's possible to say anything with certainty. – Asaf Karagila Aug 25 '15 at 01:41
  • 1
    The paper is titled "Synchronization in Complex Networks of Phase Oscillators: A Survey" and was written by Florian Dorfler and Francesco Bullo. – Spencer Aug 25 '15 at 02:37
  • 1
    @Spencer Read the section "1.4 Preliminaries and Notation", subsection "Geometry on the $n$-torus", where the notation is defined. Short answer, Qiaochu Yuan is right. – Chris Culter Aug 25 '15 at 03:26