查询词典 classification theorem

In view of the disadvantages existing in the proof of the theorem of the classification, this dissertation analyzes the necessity and feasibility to give a second proof, and elaborates on the GLS Project according to the latest research information.9. The finish of the classification of finite simple groups has profound influence on mathematics and other fields.

挖掘了分类定理最初证明中存在的弊端，提炼并概括出对分类定理进行二代证明的必要性与可行性，通过查阅最新研究资料，详细介绍了目前正在进行的GLS计划。9。

In this paper, we prove that if Ф is parallel and A+G+μB=0 for some functions λ,μ, then Ф=0, which gives the classification of the hypersurfaces in S(superscript n+1) with parallel Mbius form and A+G+μB=0 from the classification theorem in paper of Li H.

本文证明了如果x的Mbius形式Ф平行，并且A+λG+μB=0，其中λ，μ分别是定义在M上的光滑函数，那么Φ=0，由此及李海中、王长平（2003年）文献中的分类定理给出了S(上标 n+1)中具有平行的Mbius形式及满足A＋λG+μB=0的超曲面的分类。

Chapter one has introduced the background and classification of minimax theorems; Chapter two summarizes several proof method of minimax theorems, which are illustrated with examples; Chapter three has explained the development general situation of minimax theorems for a function and for two functions with chapter four respectively, and according to the classification of the theorem, has illustrated some important conclusionses in quantitative minimax theorems, topological minimax theorems and quantitative-topological minimax theorems separately.

第一章介绍了极大极小定理的背景及其分类；第二章总结了极大极小定理的几种证明方法，并举出例子进行说明；第三章和第四章分别阐述了单函数的极大极小定理和两个函数的极大极小定理的发展概况，在第三章中，按照极大极小定理的分类，分别对数量极大极小定理，拓扑极大极小定理和数量拓扑极大极小定理的一些重要结论作了介绍。

It is concluded that, first, geochemical data of the surface soils can clearly distinguish two kind of soils, that is, juvenile soils, for example, purple soils, which inherits most geochemical characteristics of the parent rocks or materials, and anthropic soils, the geochemical characteristics of which have been greatly changed as the results of intensive impact from variety of agricultural uses. Second, different soils have typical indicator elements association respectively due to different parent rocks or materials and utilization, such as purple soils, yellow soils (low alkali and alkaline-earth metal contents and pH value), paddy soils (high organic element and heavy metal elements contents) and fluvo-aquic soils (high rock-forming accessory mineral elements contents) and so on. Consequently, it can be suggested that elements association is an important indicator for two key factors (parent materials and anthropic activities) of soil classification. Third, some differences exist between soil genesic classification and result of cluster analysis, because geochemical characteristics of surface soils can not completely represent the foundation applying to soil genesic classification, that is, condition and process of soil-forming, and soil property.

结果表明：浅层土壤的地球化学数据能较好地用来区分两类土壤，即紫色土一类的幼年土壤（在很大程度上继承了母岩、母质的地球化学特征）和受强烈人为活动水耕、早耕熟化的土壤（外来物质的不断加人显著地改变了浅层土壤原有的地球化学性质）；(2)各类土壤因母岩母质和利用方式不同，各具明显的标志性元素组合特征，如紫色土、黄壤（低碱和碱土金属元素和pH值）、水稻土（高有机元素、肥料元素和重金属元素）和潮土等，因此，这些元素组合是土壤分类两个要素的重要参照系；(3)浅层土壤的地球化学特征不可能完整地体现成土条件、成土过程和土壤属性这三个发生分类依据，因此，聚类分析结果与发生类型之间存在一定的差异。

A text classification system based on improved classification model presented in this paper was used to realize automatic text classification.

通过在同一数据集上进行对比实验﹐说明本文提出的改进分类模型的文本分类系统是正确可行的。

And on this base, constructing fuzzy support vector classification from three aspects (linearly classification problem and nonlinearly classification problem).

在此工作基础上，从两个方面构建模糊支持向量分类机。

After having reviewed, analyzed and discussed the history and advances of research on theories and methods of landscape classification between our country and others, based on the basic theories, principles and foundations, The paper combined the current situations and characteristics of the rural landscape of our country, put forward a kind of method of rural landscape classification named the method of functional and configurational classification which served rural landscape planning of small scale.

本文总结了国内外景观分类理论与方法的发展现状，分析了目前景观分类中的优缺点，结合我国乡村景观的现状和特点，运用乡村景观分类的基本理论，依据乡村景观分类的原则和依据，提出了一种基于小尺度的服务于乡村景观规划的乡村景观分类方法，即乡村景观功能形态分类法。

This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式，结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作，并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

To improve the classification precision,the paper proposes to use rule-based classification methods on top of statistics-based methods in hierarchical Web classification.

针对这一局限性，结合基于规则的自动分类技术的优点，提出一种基于统计-规则方法的网页层次分类技术。

Firstly,the classification of probability rule is analyzed on the base of classic rough set concepts and extended to the equal relation of set in the indefinite system,namely,the upper and lower approximation space of research set is expressed in the form of conditional probability;then,according to the measure of probability rule,the attributes reduction is carried out and the classification rule is extracted by using the related parameters of condition attributes' impend precision from the angle of conditional probability;Finally,the related simulation test result is given and the result shows the classification rules with probability measures is more rational.

首先在经典粗糙集概念的基础上分析概率规则的分类，并将其推广到不确定系统的集合等价关系中，即用条件概率的形式表示研究集合的上下近似空间；然后根据概率规则的测度从条件概率的角度利用条件属性的逼近精度的相关参数进行属性集的约简进而提取分类规则；最后给出了相关的仿真实验结果，结果表明带有概率测度的分类规则更合理。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。