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第32行： − 尽管混沌边缘的概念十分抽象且不直观，但它确实在生态学、商业管理、心理学、政治科学、社会科学等领域具有诸多应用。物理学家发现几乎所有具有反馈的系统都会对混沌边缘产生适应行为。+ 第44行：
第44行： − 混沌边缘一词由数学家'''Doyne Farmer'''提出，用于描述计算机科学家'''克里斯托弗·兰顿Christopher Langton'''发现的过渡现象。混沌边缘最初指的是变量λ范围内的区域，在该区域内观察'''元胞自动机（CA）'''的行为发生变化。随着λ变化，元胞自动机的行为发生了相变。兰顿发现了一个有利于生产具有通用计算能力的元胞自动机的小区域。大约在同一时间，物理学家'''詹姆士·克劳奇菲尔德James P. Crutchfield'''和其他人开始使用混沌边缘（onset of chaos）来描述这一大致相同的概念。+
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Even though the idea of the edge of chaos is abstract and unintuitive, it has many applications in such fields as ecology, business management, psychology, political science, and other domains of the social science. Physicists have shown that adaptation to the edge of chaos occurs in almost all systems with feedback.
Even though the idea of the edge of chaos is abstract and unintuitive, it has many applications in such fields as ecology, business management, psychology, political science, and other domains of the social science. Physicists have shown that adaptation to the edge of chaos occurs in almost all systems with feedback.
尽管混沌边缘的概念十分抽象且不直观，但它确实在生态学、商业管理、心理学、政治科学、社会科学等领域具有诸多应用。物理学家发现几乎所有具有反馈的系统都会适应混沌边缘。
The phrase edge of chaos was coined by mathematician Doyne Farmer to describe the transition phenomenon discovered by computer scientist Christopher Langton. The phrase originally refers to an area in the range of a variable, λ (lambda), which was varied while examining the behavior of a cellular automaton (CA). As λ varied, the behavior of the CA went through a phase transition of behaviors. Langton found a small area conducive to produce CAs capable of universal computation. At around the same time physicist James P. Crutchfield and others used the phrase onset of chaos to describe more or less the same concept.
The phrase edge of chaos was coined by mathematician Doyne Farmer to describe the transition phenomenon discovered by computer scientist Christopher Langton. The phrase originally refers to an area in the range of a variable, λ (lambda), which was varied while examining the behavior of a cellular automaton (CA). As λ varied, the behavior of the CA went through a phase transition of behaviors. Langton found a small area conducive to produce CAs capable of universal computation. At around the same time physicist James P. Crutchfield and others used the phrase onset of chaos to describe more or less the same concept.
混沌边缘一词是由数学家'''Doyne Farmer'''提出，用于描述计算机科学家'''克里斯托弗·兰顿Christopher Langton'''发现的过渡现象。混沌边缘最初是指变量λ的区间，在该区间内观察'''元胞自动机（CA）'''的行为发生变化。随着λ变化，元胞自动机的行为发生了相变。兰顿发现了一个有利于产生具有通用计算能力的元胞自动机的小区域。大约在同一时间，物理学家'''詹姆士·克劳奇菲尔德James P. Crutchfield'''和其他人开始使用混沌边缘（onset of chaos）来描述这一大致相同的概念。