查询词典 reduction theorem

In this thesis, we mainly study problems on global geometry and geometricanalysis of Riemannian submanifolds, including vanishing theorem for homologygroups, topological sphere theorem, L~2 harmonic 1-forms, finiteness of end andthe spectrum of the Laplacian. In 1973, by using the Federer-Fleming existence theorem and the techniquesfrom the calculus of variations in the geometric measure theory, H.

本文着重研究黎曼子流形上整体几何与几何分析的若干问题，主要内容包括子流形的同调群消没定理、拓扑球面定理、L~2调和1-形式、端的有限性和Laplace算子谱等问题。

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。

Introduced in the third chapter with 区间套 theprinciple, the true principle, the fluxionary calculus proved threemethods have carried on the proof to a zero theorem; Then introduces azero theorem the promotion; Finally introduced the zero theorem twoapplications.

在第三章中介绍了用区间套原理、确界原理、微积分证明三种方法对零点定理进行了证明；接着介绍零点定理的推广；最后介绍了零点定理的两个应用。

Also: the renewal theorem, conditional probability and expectation, regular conditional distributions, stationary sequences aud the bergodic theorem, martingales, and the optimal stopping theorem.

更新理论，条件概率和期望，规则的条件分布，平稳序列和 bergodic 定理，鞅，最优停步理论。泊松过程，布朗运动，强马尔可夫性和不变原则。

Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础，利用反证法的分析方法和比较定理，结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论，特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究，给出了一些有用的结论。

To overcome the disadvantage of ordered reduction which is based on the discernibility matrix as the time complexity is increscent exponential along with the size of decision tables,the judgment theorem with respect to distribution reduction is obtained,and a heuristic algorithm is proposed.

在不一致决策表中，以知识的包含度为基础，将一致和不一致对象分开，定义了一种新的属性重要性；为克服区分矩阵法时间复杂度随系统大小增加而指数增长的缺陷，给出分布约简的数学判定定理，提出了一种求分布约简的启发式方法。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

These advantages include quality improvement, cost reduction, waste reduction, maintainance expense reduction, viscosity less than 10,000 centipoise of the paint, heating for curing the coating being no longer necessary etc..

以减少大气污染为唯一目的的超临界CO2涂料技术，随着其在技术上的不断成熟，它所具有的其它优点也为人们所认识。

It is demonstrated that the chiral quaternary ammonium salts catalysts exhibit promising catalytic properties for the substrate. Part III: The synthesis and the characterizing of the macroporous aminomethyl resin-supported cinchona alkaloid complexes and the study on its catalytic properties The part consists of two subsections. the macroporous aminomethyl resin -supported cinchona alkaloid complexes were synthesized by the stuff (cinchonine, quinine and macroporous aminomethyl resin). Their structures were characterized by means of elemental analysis, XPS, TG/DTA; the chiral polymer-supported complexes were first used as catalysts for the reduction of ketones. Their catalytic properties for the reduction processes were investigated. The comparison of the products e.e., the conversion of the substrate among different reduction processes was employed with determined by HPLC. The effects of the time, the temperature, the ratio of catalyst to substrate, reaction solvent as well as the recycle times were also discussed.

第三章聚-4-氨甲基苯乙烯负载金鸡纳碱金属络合物的合成与表征及其不对称催化性能研究本章分为两节，以辛可宁和奎宁及聚-4-氨甲基苯乙烯为原料，合成了4种聚-4-氨甲基苯乙烯负载金鸡纳碱络合物催化剂，并对它们的结构用元素分析、X-射线光电子能谱、TG/DTA等几种测试手段进行了表征；首次将所合成的手性高分子负载的金属络合物用于催化芳香酮不对称还原反应，详细研究了所得的手性高分子负载的金属络合物对不同底物的催化性能，用HPLC等分析手段定量检测了还原过程的底物转化率及其产物对映异构体选择性，并考察了反应时间、反应温度、催化剂和底物投料比、反应溶剂和循环次数对催化性能的影响。

Through testing the effects of temperature, time and so on, better parameters of roasting reduction method can be shown as follows: excess coefficient of carbon 0.8-0.9, reduction temperature 1 150℃, reduction time 50 min.

通过考察温度、时间等工艺因数的影响，得到了焙烧还原法合理工艺条件：碳过量系数为0.8-0.9、还原温度1150℃、还原时间50min。

Mr. Putin said there were signs of genocide against the Ossetian people.

普京说，有迹象表明对南奥塞梯人进行了种族清洗。

What I'm trying to say, Tristan is...

特瑞斯坦。我想说的是。