\section{Equidistribution theorem}

\[ \lim_{n \to \infty} \frac{|\{ x_{k} \in X : x_k \in (c,d) \land k \in \mathbb{Z}\cap[1,n] \}|}{n} = \frac{c-d}{b-a}\]


$x_n = [n \gamma]$ is equidistributed over $\mathbb{R} / \mathbb{Z}$