mean value theorem [数] 中值定理 ; [数] 均值定理 ; [数] 平均值定理
differential mean value theorem 微分中值定理
Gauss Mean value theorem 高斯平均值定理
extended mean value theorem 广义均值定理
Lagrange mean value theorem 拉格朗日中值定理 ; lagrange中值定理
Cauchy mean value theorem 柯西中值定理 ; cauchy中值定理 ; 柯西均值定理
mean value theorem of integrals 积分中值定理
Mean value theorem of differential 微分中值定理
Lagrange's mean value theorem 拉格朗日中值定理
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This paper gives an extending of Cauchy's mean-value theorem on functions of several variables.
本文给出了一元函数Cauchy微分中值定理在多元函数中的推广。
This paper introduces the proof and application of Cauchy mean-value theorem from many angles in every aspect.
本文介绍了柯西中值定理的多种证明方法及其应用。
Finally, the condition and result of integral mean-value theorem are also improved combined with the Lagrange mean value theorem of differentials.
最后，结合拉格朗日微分中值定理改进了积分中值定理的条件和结论。
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