mean ergodic semigroup

例句：

1. 1.In mathematics, a mean ergodic semigroup is a class of dynamical systems that exhibits the properties of both periodicity and mixing.
   在数学中，一个有界半群是一类具有周期性和混合性质的动力系统。
2. 2. The study of mean ergodic semigroups has led to important insights into the behavior of complex systems.
   研究有界半群的研究为复杂系统的行为提供了重要的洞见。
3. 3. In applications, mean ergodic semigroups are used in modeling the dynamics of chemical reactions and biologicalprocesses.
   在应用中，有界半群被用于模拟化学反应和生物过程的动态。