以下为句子列表：
英文: A necessary condition of Devaney's chaos for cellular automata (CA) is found, then an algorithm is presented to verify which CA satisfy this condition.
中文: 摘要提出了元胞自动机混沌的一个必要条件，给出了判断初等元胞自动机是否满足这一条件的算法。
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英文: A preliminary simulation of Chushui stream debris flow hazard in Nantou county, Taiwan, by cellular automata methodology was presented for revealing the capacity of cellular automata on simulation of complex natural phenomena.
中文: 并藉由南投县信义乡出水溪土石流灾害复杂现象的介绍与细胞自动机的灾害境况模拟，显示细胞自动机可延伸应用的领域。
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英文: An introduction of cellular automata for its developing history, theory, and applicability fields were presented in the paper.
中文: 摘要本文介绍细胞自动机的发展历史、基本组成单元与理论架构及其种类，及其目前发展应用中的研究範畴。
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英文: Automata theory allows practice with formal definitions of computation as it introduces concepts relevant to other nontheoretical areas of computer science.
中文: 自动控制理论允许执行正式的计算定义，因为它引用了相关的计算机科学的其他非理论方面的概念。
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英文: Based on multiple patterns match algorithm-deterministic finite state automata (DFSA), a DFA has been designed, which can identify multiple kind numbers.
中文: 摘要基于有限自动机的多模式匹配算法（DFSA算法），设计出同时识别多种数的有限自动机。
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