名词
中文翻译：双重自同构
同义词：
['dual automorphism', 'duality of automorphism例句：1. In the study of dynamical systems', 'dual automorphisms play a crucial role in understanding the behavior of complex systems.（在动态系统研究中，双重自同构在理解复杂系统行为中起着至关重要的作用。）2. The concept of dual automorphism is fundamental to the study of topological structures and their applications in engineering.（双自同构的概念是研究拓扑结构及其在工程应用中的基础。）']
例句：
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1. In the study of dynamical systems, dual automorphisms play a crucial role in understanding the behavior of complex systems.
在动态系统研究中，双重自同构在理解复杂系统行为中起着至关重要的作用。
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2. The concept of dual automorphism is fundamental to the study of topological structures and their applications in engineering.
双自同构的概念是研究拓扑结构及其在工程应用中的基础。
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3. The dual automorphism of a group is a key tool for studying its representation theory and its applications in cryptography.
群的双自同构是研究其表示理论及其在密码学应用中的关键工具。