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1. The ergodic theorems provide a framework for understanding the behavior of systems in dynamical systems theory.
支配定理为动态系统理论中系统行为的理解提供了框架。
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2. In thermodynamics, ergodicity is a fundamental concept that describes how energy flows through a system.
在热力学中，ergodicity是一个基本概念，描述了能量如何通过系统流动。
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3. The ergodicity theorems have been extensively studied in the field of chaos theory.
混沌理论领域广泛研究了ergodicity定理。