This section discusses the uniform distribution of sequences modulo a subdivision of the interval \([0, \infty)\). The authors, P. Kiss and R. F. Tichy, define a sequence \((x_n)\) as uniformly distributed modulo a subdivision \(z\) if the sequence \((x_n)_z\) is uniformly distributed mod 1. They present several known results on the uniform distribution of sequences of the form \((n\theta)\) and generalize these results using an elementary method. The main theorem states that the sequence \((\theta n)\) is almost uniformly distributed modulo \(z\) if \(z_n / n \to \infty\) as \(n \to \infty\), and it is uniformly distributed if and only if \(\lim_{n \to \infty}(z_n / z_{n-1}) = 1\). The proof involves detailed analysis of the distribution properties of the sequence and the use of characteristic functions.This section discusses the uniform distribution of sequences modulo a subdivision of the interval \([0, \infty)\). The authors, P. Kiss and R. F. Tichy, define a sequence \((x_n)\) as uniformly distributed modulo a subdivision \(z\) if the sequence \((x_n)_z\) is uniformly distributed mod 1. They present several known results on the uniform distribution of sequences of the form \((n\theta)\) and generalize these results using an elementary method. The main theorem states that the sequence \((\theta n)\) is almost uniformly distributed modulo \(z\) if \(z_n / n \to \infty\) as \(n \to \infty\), and it is uniformly distributed if and only if \(\lim_{n \to \infty}(z_n / z_{n-1}) = 1\). The proof involves detailed analysis of the distribution properties of the sequence and the use of characteristic functions.