以下为句子列表：
英文: Abstract: Through appropriately changing the water-inrush condition based on mechanical analysis, the potential energy function of water-inrush from coal floor could be derived, which conforms to the catastrophic model.
中文: 文摘:对建立在力学分析基础上的突水条件进行适当变换，得到煤层底板突水势函数，它符合尖点突变模型。
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英文: Although the transient energy function methods are only used as the auxiliary tool at present for the power system transient stability analysis, how to improve its reliability and apply it to the non-autonomous motion system is still an attractive topic t
中文: 尽管目前暂态能量函数法只作为电力系统暂态稳定分析的辅助工具，但如何提高它的可靠性并将其应用到非自治系统仍是有待深入研究的课题。
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英文: Based on the Lyapunov stability theory, this paper analyzes thetransient energy function methods for power system transient stability analysis, and considers the quantitative analysis and fast speed as their advantages, but the unreliability as their limi
中文: 基于李雅普诺夫稳定理论，对用于电力系统暂态稳定分析的暂态能量函数法进行了分析，认为可定量分析和快速性是其独特优势，不可靠性是其局限性。
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英文: Secondly, after extracting the initial contour of the object, the energy function of active Contour model was constructed.
中文: 在此基础上提取出活动轮廓模型的初始轮廓点，然后构造活动轮廓模型的能量函数。
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英文: The demands that transient energy function methods must meet for the non-autonomous motion system are also proposed, which include that the critical energy should be determined by the critical trajectory and the post-fault stable equilibrium point should
中文: 提出了暂态能量函数法用于非自治系统所必须满足的条件，包括用临界轨迹确定临界能量，以及用临界轨迹得到的切除时间确定故障清除后的稳定平衡点等。
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