查询词典 theorem

Rolle's theorem is a special case of the mean value theorem.

罗尔定理是中值定理的一种特殊形式。

In this paper, applying local mean value theorem ,we prove some theorem of complex analysis.

运用局部复中值定理，我们重新证明了复分析中的几个定理。

This mean value theorem of the introduction and in the example on the other the application of proven methods to illustrate the mean value theorem to prove some of the infinitive is very simple.

本文将通过对中值定理的介绍和在例题上的与其他证明方法的比较应用，来说明中值定理对一些不定式的证明是相当简单的。

Based on the existence of the " mean point s"in Differential mean value Theorem,This paper futher studies the problem of the number of the " mean point s" in Differential mean value Theorem.

在微分中值定理"中值点"存在的基础上，进一步研究微分中值定理"中值点"的个数问题。

This paper, by means of Rolle theorem, introduces constant method to demonstrate mean value theorem for differential calculus and attains the corresponding supplementary function of the demonstrating method.

借助于Rolle定理，用待定常数法证明了微分中值定理，得到了该证明方法的辅助函数簇，这种证明方法对解决同类问题有很好的推广应用价值。

In the dissertation, we do a further study in value distribution theorem and normal families theorem of meromorphic function and get some results by using the Nevanlinna's value distribution and the Ahlfors value distribution.

中文摘要：本论文主要运用Nevanlinna值分布理论以及Ahlfors值分布理论在亚纯函数值分布理论和亚纯函数正规族理论两个领域内做了进一步研究，并且相应的得到了几个结果。

The first systematic and fundamental research is did by Modigliani and Miler, they bring out with the famous MM theorem in 1958.Which says capital structure doesn't affect enterprise market value and average capital cost in a condition of perfect market. After that, several economists including Modigliani and Miler themselves put this theory forward with the MM theorem with the consideration of tax, the trade-off theory, the pecking order theory,market for corporate control, these analyses throw lights on the problem from different aspect.

对此做出系统性和开创性研究的是Modigliani和Miler，在1958年提出了资本成本与资本结构无关的MM定理，在此基础上，包括Modigliani和Miller在内的许多经济学家对此进行了探索，他们先后提出了考虑税收的MM定理、权衡理论、优序融资理论、控制权理论，从不同的角度分析了资本结构的优化问题。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utility function are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utilityfunction are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector space s, are given.

给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。指出这3个形式不同的结果与Tychonov不动点定理是相互蕴含的。并且用截口定理直接证明了多值映射的一个重合定理

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。