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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。

On the basis of analyzing the classification principle of Bayesian classification model and a variant of Bayes theorem, a new classification model based on Bayes theorem, DLBAN (double-level Bayesian network augmented naive Bayes), which adds the dependence among attributes by selecting the key attributes, is proposed.

通过分析贝叶斯分类模型的分类原则以及贝叶斯定理的变异形式,提出了一种基于贝叶斯定理的新的分类模型DLBAN(double-level Bayesian network augmented naive Bayes)。该模型通过选择关键属性建立属性之间的依赖关系。

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。

Based on the methods and techniques of covering theory, the structure of module category of tame concealed algebra, one-point extension, vector space category, finite enlargement, degeneration theory, stable equivalence and combinatorial method, we will classify all of the three-point algebras with Gabriel quiver the system quiver Q according to representation type. We get the classification theorem: Let A=kQ/I be a three-point algebra given by the system quiver Q.

本文综合利用覆盖理论,tame concealed代数模范畴的结构,单点扩张,向量空间范畴,有限enlargement,退化理论,稳定等价以及组合的方法等多种方法和技巧,将所有由系统箭图Q给出的三点代数按表示型进行分类,得到如下分类定理:Q是系统箭图,I是kQ的一个admissible理想。

At last, we also give the classifying theorem of ideal semi-parallel immersiohs in an Euclidean space with flat normal bundles.

最后对于欧氏空间中法丛平坦的理想半平行浸入,我们也得到了完全的分类定理

At last, we also give the classifying theorem of ideal semi-parallel immersions in an Euclidean space with flat normal bundles.

最后对于欧氏空间中法丛平坦的理想半平行浸入,我们也得到了完全的分类定理

Among which theorem 1 and theorem 2 are similar to the controlled convergence theorem and Lukin theorem in Lebesgue integral Theory.

定义μ=|G|/|Irr|。得到了定理1 若G是非交换有限群2。首先得到具有这种性质的非Abel有限单群的完全分类定理

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中,给出了孤立奇点的定义和分类、函数零点与极点的关系,从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用,包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

Then, the first and second fundamental forms, Gaussian curvature and mean curvature of the surfaces are directly calculated according to the principles of differential geometry.

首先,根据微分几何中的基本知识,得到了该种度量形式下的平移曲面的第一、第二基本形式以及高斯曲率和平均曲率;然后,主要利用高斯曲率和平均曲率之间的线性关系和平方关系,得到了这类平移曲面的分类定理

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