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It includes the definition of two basic operations, logical functions expansion and matrix formulation in OR-Coincidence algebra system, and the introduction of map expression--dj map, the complete research of the relations among CRM expansion^ maxteim expansion and RM expansion, iiamely tie relations among dj map, K-map and bj map, also includes the minimization of CRM expansion in fixed and mixed polarities-Meanwhile this dissertation points out the form and properties of basic symmetric function, simple symmetric function and basic CRM symmetric function in OR-Coincidence algebra system, discusses the relations and transform methods among the coefficients of the three kinds of symmetric functions.

包括连和与加合两种基本运算的定义，逻辑函数在或、符合代数系统里的展开式及矩阵表示式，展开式图形表示--d_i图的引入，对CRM展开式和最大项展开式、RM展开式，d_i图和K图、b_i图之间的关系及转换方法进行了较为全面的研究，以及CRM展开式在固定极性和混合极性下的最小化问题。

The proof of fundamental theorem of algebra involves much algebra knowledge which is difficult to understand.

代数学基本定理的经典证明用到较多的代数知识，且难以理解，文章探讨用数学分析的方法予以证明。

The weighted Moore-Penrose inverse is a special generalized inverse which is an important basic tool in many branches of mathematics and has extensive applications in other fields such as economics, information processing, automatic control, etc. Recently, the study of generalized inverse of matrices associating with more general algebra such as ring, semiring and so on generalize the theory and methods of generalized inverse deeply and characterize the structure of algebra as well.

加权Moore-Penrose逆是一种特殊的广义逆，它不仅是许多数学分支的基本工具，而且在经济学、信息处理、自动控制等其他领域有着广泛的应用，近年来，结合环、半环等更一般的代数系统的矩阵广义逆的研究，不仅将广义逆的理论和方法作了更加深入的推广，而且也成了刻画代数结构的有力工具。

But the group theory is in the algebra is most ancient one of richest branches, is the modern algebra foundation.

而群论是代数学中最古老最丰富的分支之一，是近世代数的基础。

Develop the formulation of the the Lie group, Lie algebra and Riemannian manifolds and spatial operator algebra.

建立了Lie群和Lie代数、Riemannian流形与空间算子代数理论联系的模型。

This article continues to study the application of rough set theory rough and algebra system -group, rings to combine research. So that rough algebra system is built better perfectly.

本文继续将粗糙集理论与代数系统——群、环理论结合起来进行研究，以此建立比较完善的粗糙代(来源：0cbdAcbBC论文网www.abclunwen.com)数系统。

One points at a sequence of one sparse linear algebra system of equation ,utilizing frequent treatment sparse matrix data structure at present that is according to the competent store structure, design the law of conjugation gradient method which solves the equation group of the sparse linear algebra of asking analyses the complexity of calculating.

第一部分针对一类稀疏线性代数方程组，利用目前国际上使用比较频繁的处理稀疏矩阵的按行稀疏存储结构，设计了求解稀疏线性代数方程组的共轭梯度法，并分析计算复杂度。

Second, we give a detailed description of the structure of closed Lie ideals in a finite CSL algebra Alg of simple Groupoid C~*-algebra B.

其次刻画了单的Groupoid C~*-代数B中的有限CSL代数Alg的闭Lie理想。

In chapter 2, we study a kind of operator algebra acted on the Hilbert space H which is called the closed weakly reducible maximal triangular algebra, denoted by S.

第二章我们研究了一个作用在Hilbert空间Η上的闭弱可约极大三角代数S，证明了S的系数在Β中的任意阶完全有界Hochschild上同调群H_~nS，Β(Η(n≥1)是平凡的。

He has been working on the teaching of Higher Mathematics, Linear Algebra, Probability Statistics, Higher Algebra, Matrix Theory, Mathematical Statistics, and Stochastic Process, etc.

从事高等数学、线性代数、概率统计、高等代数、矩阵理论、数理统计、随机过程等课程。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。