查询词典 intersection theorems

Existence theorems for optimal elements are proved with the aid of Zorn's lemma and the scalarization theory.

借助于 Zorn 引理和标量化定理证明了最优元的存在性定理。

In this paper, by Zorn lemma and cone theory, the existence of the random fixed points for discontinuous increasing operators was discussed and the existence theorems of random fixed point were obtained.

本文利用Zorn引理和锥理论，研究了不连续随机算子的随机不动点的存在性问题，得到了几个有关不连续随机增算子的随机不动点定理。

This paper using Zorn Lemma, we get new fixed point theorems for noncom-pact and non monotone operators on Fully regular cones, all the results we get are new.

本文运用Zorn引理，得出了全正则锥上的非紧非单调算子的不动点的存在性结果，这些结论是全新的。

The process of our study links some of the most basic questions about C〓 with beautiful classical results from analyticfunction theory. For instance, it is essential Littlewood subordination theorem that assures that composition operators act boundedly on many analytic function spaces. And there are close connections between the compactness of C〓 and the existence of angular derivatives of ψ at points of 〓D. It involves the classical Julia-Careatheodory theorem, Denjoy-Wolff theorem and Nevanlinna counting functions and so on. It makes many old theorems in analytic-function theory getting some new meanings, and bestows upon functional analysis an interesting class of linear operators. This thesis consists of six chapters as follows: Chapter 1 is a preparatory in nature.

从而建立了C〓的算子性质与解析函数论中许多漂亮的经典结果之间的联系，如许多解析函数空间上复合算子的有界性本质上往往是著名的Littlewood从属原理，复合算子的紧性与其诱导映射在边界〓D上的角导数之间有着紧密的联系等等，这样自然而然地涉及到经典函数论中的Julia-Caratheodory定理，Denjoy-Wolff定理及Nevanlinna计数函数等等一些结果，并以此赋予函数论中许多古老问题以新意，同时也为泛函分析提供了一类十分具体的线性算子。

Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems.

第7章与谎话代数，有规律的要素和conjugacy 定理的卡坦subalgebras的交易。

Here in our department, the Geometric-Optics is a 3-credit, 3-hour per week, one-semester course. There are three consecutives parts in the one-semester lecture:The 1st part :the nature of light,the related theorems about reflection and refraction, image formation.

本系之几何光学是一学期、三学分、每周三小时的课程，教学内容大致包含以下三部份：一、介绍光的性质、在介面上反射、折射之有关定理、成像的原因及应用。

Some of definitions on weak attractiveness and relevant decidable theorems are obtained in the paper by extending the definition of attractiveness of equation solutions and concrete example is also given.

通过放宽方程解的吸引性定义，得出了几个关于弱吸引性的定义和相关的判定定理，并给出具体实例。

We investigate the continuity and fuzzy continuity of fuzzycomplex functions on 〓,prove depictive theorems of the continuityand fuzzy continuity.

在模糊复数度量空间〓上研究了模糊复函数的连续性和模糊连续性，证明了模糊复函数的连续性刻划定理和模糊连续性刻划定理。

By using truncation methods of random variables and Doob martingale convergence theorem,the properties of sequence of arbitrary random variables are studied,a class of strong limit theorems for sequences of arbitrary random variables is obtained under moment conditions, and some conclusions corresponded to these are generalized.

利用随机变量的截尾方法和Doob鞅收敛定理，研究了任意随机变量序列的性质，得到了一类矩条件下任意随机变量序列的强极限定理，推广了与此相应的一些结果

The Double-base Teaching is one of traditional features in the mathematics" education in our country, which focuses on how to cultivate the students" inquiry ability in the daily teaching. First of all, from the beginning of the double-base teaching, we pay attention to the original knowledge during the teaching of concepts, definitions, theorems and formulas. In the case of exercising lessons, we conclude, summarize and train the student"s emanative ideations. In the review lessons, we care about the interconnections of various knowledge. Next, because theopen subjects have the better functions to be researched, we create them in the daily teaching. It is also a very important approach to cultivate the students" inquiry ability.

重视双基教学是我国中学数学教学的传统特色，在日常教学中培养学生的探究能力，应首先从双基教学开始：在概念、定义、定理、公式的教学中注重知识的起源；在例习题教学中，注重归纳、小结及训练学生的发散思维能力；在复习课的教学中注重各知识的相互联系；其次，由于数学开放题具有良好的探究功能，因此，在日常教学中适当创设数学开放题，也是培养学生探究能力的一个重要途径。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。