查询词典 locally analytic function

In chapter 4 , with S-KKM mapping , a new Ky Fan\'s minimax inequality is proved , the locally convex H-space with uniform structure is introduced , s-HKKM mapping is defined as the generalization of KKM mapping, with the H-convexity of Hausdorff locally convex H-space , a new fixed point theorem for the compact andclosed mapping belonging to the class s-HKKM is established ;with local intersection property of muti-function ,K-H-quasi-convexity of mapping , connectedness of set and condensing correspondences, some new vector quasi-variational inequalities are established , respectively .

第四章利用S-KKM映射，建立了新的Ky Fan极小极大不等式；定义了带有一致结构的局部凸H-空间，利用Hausdorff局部凸H-空间的H-凸性，对于属于s-HKKM中紧的闭映射建立了新的不动点定理，利用对应的局部交性质、映射的K-拟-凸性、集合的连通性以及φ-condensing对应分别建立了相应的拟向量变分不等式。

The analytic studies of the MITA procedure based on dynamics and the function of thermo-diffuse and thermo-conduction combine these three physic field systematically. Compared with situation function with thermo-balance method, the analytic studies based on dynamics have less parameters approximation, and more precision. Meanwhile, the discipline of the microwave energy absorbed by tissue is should studied also.

基于动力学和热扩散、传导方程的微波热致超声波机制解析解的分析，将上述三类物理场有机地结合在了一起，与基于热平衡的状态解析分析相比，这一方法更少地对三物理场所涉及的参数进行近似，能更准确地反映微波热致超声波机制。

Analytic functions of complex variable function is the main object of study, and the five equivalent conditions of analytic functions penetrate the whole process of learning of complex function.

解析函数是复变函数论主要的研究对象，而解析函数的五个等价条件又贯穿了我们对复变函数论学习的全过程。

Because traditional finance subject utmostly canonize the rational selected mode and methodology which keep the form of the financial interest need of the enterprise and its stockholders and the network of their financial relationship out of its analytic area, so liking the mainstream economics, traditional finance subject can not offer trustworthy explains to many financial affairs and can not prescribe the right policy prescription to the important financial problems, either. As a result of the logistic and realistic errors in the traditional mode, it will have an important and practical meaning to bring the new system principle into the analytic area of the financial subject and to develop the financial theory. The main points of this dissertation are as follows: The financial affairs of an enterprise are not the inner actions of the individual firm, but the function of the financial network of stockholders, so we should use the limit of the affairs not the inner property or inner driving force to interpret the financial affairs of an enterprise, we should use the method of circuital analysis not of individual analysis to investigate the financial affairs of an enterprise; The financial affairs of an enterprise is a social behavior, it is involved in the social structure and is restricted by the social structure, so we should care for the social characters, social responsibilities and social effects of the financial affairs of an enterprise; The financial network of stockholders is composed of five phases as follows: the finance of external stockholders, the finance of the operator, the finance of function, the finance of subsection and the finance of the stuff, in which the finance of the operator is dominant; The operational intensity and efficiency of the financial network of stockholders are influenced by technical factor as well as institutional factor, in which institutional factor is the fundamental character of financial affairs. Ultimately the substance of the financial affairs is the arrangement and operation for the financial system by stockholders; The relationship between enterprise and its stockholders is cooperative and conflicting. The important mechanism to solve the financial conflict between stockholders is the construction of the financial system, including the formal and informal system construction. Information and faith are the important mechanism to coordinate the financial conflict between stockholders, so we should pay much attention to the research of formal and informal system.

本文的主要观点是：企业财务行为不是企业个体内部的行为，而是利益相关者财务网络行为，因此应当用对行为的结构限制而不是企业个体的内在属性或内在驱力来解释企业的财务行为，用网络分析的方法而不是个体分析的方法研究企业财务行为；企业财务行为是一种社会行为，它嵌入于社会结构之中，受企业财务所处的社会结构的限定，因此应当关注企业财务行为的社会性质、社会责任和社会后果；利益相关者财务网络内含外部利益相关者财务、经营者财务、职能财务、分部财务和员工财务五个层次，其中经营者财务在其中占据主导地位；利益相关者财务网络的运作强度与运作效率既受技术性因素的影响，又受制度性因素的影响，其中制度性是财务的根本属性，企业财务的实质说到底还是面向利益相关者的一种财务制度性的安排与运作；企业与利益相关者之间以及利益相关者相互之间的财务关系具有合作性与冲突性，化解利益相关者财务冲突的重要机制是财务性的制度建设，包括正式制度建设与非正式制度建设，信息和信任是协调利益相关者财务冲突的重要机制，因此应当高度关注财务的正式和非正式制度的研究。

We establish some connections between geometric properties, properties in analysis and analytic properties of the inducing map ψ and operatortheoretic properties of composition operator C〓: f〓fοψ on various analytic function spaces mentioned above, include the boundedness, compactness, weak compactness, collective compactness and the Schatten class operator ideal, etc. Our results extend some previous results, for instance, the Shapiro's Nevanlinna counting function condition and the MacCluer's Carleson measure condition for the compactness of C〓 on Hardy space.

本文建立了D上解析自映射φ：D→D的几何性质、分析性质和解析性质与复合算子C〓：f→foφ在上述各种解析函数空间上的限制的算子性质之间的联系，涉及到复合算子C〓的有界性、紧性、弱紧性、总体紧性及Schatten类算子理想等算子特征，推广了前人的一系列结果，如Shapiro关于C〓的紧性的Nevanlinna计数函数条件，MacCluer关于C〓的紧性的Carleson测度条件等。

Starting from the concept of conjugate analytic function,this paper expounds on the necessary and sufficient conditions of conjugate analytic of differentiable complex function represented in exponent form.

在共轭解析函数定义基础上，讨论指数形式表示的函数共轭解析的充要条件

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。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

The linear function applicable scope is broad, when the reservoir turnover water volume and the time, the student leaves the staircase mouth population and the time and the time and the motion communication speech spends the comparison and so on the relational question has the important application;The study linear function, may deepen in the life the linear question understanding and the understanding, is helpful in solves some simple function problem; The linear function some problem solving method has the universality in mathematics, the linear function related theory may use for to solve some other mathematics problem, For instance the dual linear equation group, a Yuan inequality, a Yuan quadratic equation most value question and some complex mathematics question, the light is studies the linear function the theory is insufficient, the key is can utilize actual the linear function goes is our final goal.

一次函数的适用范围广，在蓄水池的进出水量与时间、学生出楼梯口人数与时间与时间和移动通讯的话费比较等的关系问题时均有重要的应用；学习一次函数，可以加深生活中线性问题的认识与理解，有助于解决一些简单的函数问题；一次函数的一些解题方法在数学中具有普遍性，一次函数的有关理论可以用来解决一些其它的数学问题，比如二元一次方程组、一元一次不等式、一元二次方程的最值问题及一些复杂的数学问题，光是学习一次函数的理论是不够的，关键是能把一次函数运用到实际中去才是我们最终的目的。

You think you're a big shot.

你认为你是一个大人物？

All states are equal, and none can receive special treatment from the federal government.

所有的州都是平等的，任何州都不能获得联邦政府的特别待遇。