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The thesis consists of the followingmain results:the Cauchy's integral formula on certain distinguished boundaryfor LR regular functions with values in a universal Clifford algebra 〓,theCauchy's integral theorem,the mean value theorem,the maximum modulus the-orem.the Taylor's expansion,the Laurent's expansion and the residue theoremetc..

第一章叙述了泛Clifford代数基本理论，其中，我们首先准确而又富有创造性地给出了在泛Clifford代数〓上的一个对合运算表示，由此，我们给出了在泛Clifford代数〓上的一个内积，然后，我们借此给出了在泛Clifford代数〓上的相应的两个等价的范数，并证明了若在〓上赋予其中的一个范数，则〓是一个Banach代数。

Therefore,the complicated problem is simplified into asolving procedure of a group of infinite dimensional algebra equations.In thefact,not only is a general solution of the problem obtained,but also a method tocompute the dynamic thermal stress distribution at the surface of the cavity afterthe definition of the coefficient of the dynamic thermal stress distribution isgiven.

事实上，不但得到了单连通区域或复连通区域型二维孔洞表面的动态热应力分布问题的一个一般的解析解，而且，在定义了非耦合和耦合无量纲化动态热应力分布系数后，推导出计算单连通区域或复连通区域型二维孔洞表面的动态热应力分布的方法。

In our paper,we mainly discuss two problems in algebra graph theory:thenormality of Cayley digraphs of degre...

本文主要讨论代数图论中的两个问题-2度Cayley有向图的正规性和紧图。

Linear space and linear transformation, as well as the associated matrix theory, linear algebra is a central element.

线性空间与线性变换，以及与此相联系的矩阵理论，是线性代数的中心内容。

Therefore, for every perfect Lie algebra L(E_1,E_2,E_3) with v = 2, its uniersal central extension has the vertex operator represention.

于是，对于每一个perfect李代数L(E_1，E_2，E_3)，当v=2时它的泛中心扩张都存在顶点算子表示。

Simliar to isomorphism and derivation, centralizer is an important transformation on algebra or ring.

像同构和导子一样，中心化子是代数或环上的一类重要的变换。

Firstly, based on the algebra case of Wus method we give a modified algorithm of differential characteristic set for differential polynomial system - algorithm′.

算法′是在代数情形吴方法的算法的基础上推广而来。

He is leading a research group 'Algebra and Coalgebra: the mathematical environments of modal logic'.

他当前正主持研究项目"代数和余代数：模态代数的数学环境"。

Chapter 1 is the introduction of this paper, which introduces the weak hopf algebra, hopf π coalgebra, and some properties of them.

另外，探讨了弱Hopf群弱余代数的一些基本性质和结论，为以后的章节奠定了一些理论基础。

The algebraic and coalgebraic methods in computer science is investigated in general, including its basic ideas, the categorical properties of algebras and coalgebras, initial algebra and final coalgebra, bisimulation and behavior equivalence, coalgebraic specifications, and coalgebraic logics.

对代数方法与共代数方法的基本概念、代数与共代数范畴的性质、初始代数与终结共代数、双模拟与行为等价、共代数规范以及共代数逻辑进行了比较全面和深入的研究。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。