The middle value theorem consists of Roue. Lagrang and Cauchy theorem.
中值定理包括罗尔定理、拉格朗日定理和哥西定理。
The paper makes an analysis and inquiry about the differences among the Roue Theorem. Lagrange Thoorem and Cauchy Theorem.
本文就罗尔定理、拉格朗日定理和柯西定理三者的区别与联系作了分析与探讨。
A discussion on some characterized mapping conclusions similar to Cauchy integral theorem.
讨论具有某种特征映射的类似柯西积分定理的结论。
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。
On the basis of these theories, Rolle mean value theorem, Lagrange mean value theorem and Cauchy mean value theorem are proved by constructing nested interval.
在此基础上通过构造区间套依次证明了罗尔中值定理、拉格朗日中值定理和柯西中值定理。
This paper gives the new method to prove the cauchy mean value theorem which also may be deduced from the Lagrange mean value theorem.
给出柯西中值定理的一个新的证法，说明柯西中值定理也可由拉格朗日中值定理导出。
We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.
通过巧妙地构造辅助数列，应用致密性定理、柯西收敛准则来证明闭区间上连续函数的介值性定理。
This paper deals with the forms of higher order of Cauchy′s mean value theorem, from which the author draws an inference of the forms of higher order of Lagrange′s mean value theorem.
本文论述柯西中值定理的高阶形式，并由此推出拉格朗日中值定理的高阶形式。
This paper gives the new method to prove the Cauchy Mean Value Theorem, which also may be deduced from the Lagrange Mean Value Theorem.
给出柯西中值定理的一个新的证法，说明柯西中值定理也可由拉格朗日中值定理导出。
Cauchy inequalities, Liouville's Theorem.
柯西不等式、刘维尔定理。
Cauchy inequalities, Liouville's Theorem.
柯西不等式、刘维尔定理。
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