Theorem 1 if is differentiable at, and is a local extreme value of, then.

定理1设函数在处可导，且在处取得极值，那么。

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Carnot's Theorem discusses the extreme value of the efficiency of heat engines' cycles.

根据卡诺定理给出了热机的循环效率极大值问题。

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Based on the minimum curvature radius definition and mid value theorem, the pape gives the method of determining the limit load of pile foundation through extreme value analysis.

文章根据最小曲率半径定义和中值定理，通过极值分析方法来确定桩基极限荷载。

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