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1·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。

2·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。

3·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。

4·The criterion extreme value of binary function for first partial derivative is given by means of the mean value theorem. The two theorems are obtained.

以中值定理为工具，给出了利用一阶偏导数判定二元函数极值的方法。