以下为句子列表：
英文: Abstract: In all kinds of materials, the existence of a stress singularity was studied widely by engineers.
中文: 文摘:在各种材料中，出现的应力奇异性已为工程技术人员的科学研究提供了丰富的素材。
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英文: Abstract: In the paper, bifurcation phenomena of one kind of reaction-diffusion equations are investigated. Used singularity theory based on the method of L-S(Liapunov-Schmidt), satisfactory results are obtained.
中文: 文摘:文章讨论了一类反应扩散方程的分歧(分岔)现象.运用所谓基于L-S(李雅普诺夫-施密特)约化的奇异理论方法,得到了满意的结果.
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英文: According to theory, the event horizon of a black hole that is not spinning is spherical, and its singularity is (informally speaking) a single point.
中文: 依照理论，不旋转的黑洞活动视界是球形的，而且它的奇异点是(非正式说法)是单一点。
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英文: And what of the arrival of the Singularity itself?
中文: 那么当奇点真正到达时又是怎样的情形？
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英文: By means of constructional iterative equation, this paper presents a way to give out the existence and singularity of a type of equational root with gradual approach method.
中文: 摘要本文通过构造迭代函数，利用逐次逼近的方法给出了一类方程根的存在性与唯一性的判断的一种解决方案。
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