查询词典 unique factorization theorem

This thesis consists of five chapters. At first, We introduce the study history as well as present situation on KKM theory. Secondly, We discuss the invariability of transfer open valued multimap under the restriction of upper and lower semicontinuity on generalized convex spaces. Then, We obtain new KKM type theorems from the classical KKM theorem by applying upper and lower semicontinuity. We also obtain intersection theorems by applying the KKM type theorems for a multimap from a topological space to another topological space. Further, We obtain Ky-Fan type coincidence theorem by applying known variational results on the KKM type theorems. Finally, We give an application to new theorems.

本文共分五章，首先回顾了KKM理论的研究历史和现状，其次讨论了在一般化凸空间上转移开值映射在上、下半连续映射下的不变性，然后在上、下半连续映射下，以古典的KKM定理为基础得到新的KKM型定理，并利用从一个拓扑空间到另一个拓扑空间的集值映射及KKM型定理得到相交定理，进一步利用已知的KKM型定理的变形结论得到Ky-Fan型重叠定理，最后给出新定理的一个应用。

The conservation theorem and its inverse theorem for the Poincar - Chetaev' s equations were established.

建立了Poincare-Chetaev方程的守恒定理及其逆定理，并举例说明结果的应用。

For the theorem 4 on DEA efficiency (C~2R) in reference ,this paper gives its inverse theorem under a condition in order to be easy to discriminate DEA efficiency (C~2R).

对文[1]中有关DEA有效(C2R)的定理4，本文给出了在某种条件下的逆定理，以便简化DEA有效性(C2R)的判断。

We also present iterated function systems 、local iterated function systems、Barnsley's collage theorem and Markov's theorem.

我们也介绍了迭代函数系统、局部迭代函数系统、Barnsley的拼贴定理和Markov定理。

Lagrange value theorem is an important one of the Mean Value Theorem.

拉格朗日中值定理是重要的微分中值定理之一。

In Chapter 4, by some important summation formulas, we prove some results of number theory, such as Jacobi two square numbers theorem and Lagrange four square numbers theorem.

第四章：应用第二章介绍的几个重要求和公式，证明了数论中的若干结果。

Then using Hahn-Banach separation theorem, we obtain Lagrange multiplier theorem.

再利用Hahn-Banach分离定理，得到Benson真有效解的Lagrange乘数定理。

The differential theorem of mean is called "the Lagrange theorem of mean" generally, is in the differential calculus one of most important conclusions.

微分中值定理一般称为"Lagrange中值定理"，是微分学中最重要的结论之一。

This article is divided into several categories of questions, focus on a typical example of the Lagrange Mean Value Theorem to prove the application of the inequality summarized in the hope that readers can better grasp the Lagrange mean value theorem in the inequality in the application of skills .

本文将题型分成几类，集中典型例题，对拉格朗日中值定理在不等式证明的应用中进行归纳总结，希望读者能够更好的掌握拉格朗日中值定理在不等式中的应用技巧。

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。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。