查询词典 algebra

In this paper, we first solved the characterization of Lie ideal in aσ-weakly closed triangular subalgebra A of an AF vN algebra B with cartan subalgebra D.

本文首先描述了AF von Neumann代数B中对角为Cartan子代数D的σ-弱闭的三角子代数A的σ-弱闭Lie理想。

Secondly,we firstly study the properties of functions with values in a uni-versal Clifford algebra 〓,and we obtain the following very important basictheorems in universal Clifford analysis:Cauchy's integral formula,Cauchy's inte-gral theorem,the mean value theorem,the three versions of the maximum mod-ulus theorem,the Taylor's expansion,the Laurent's expansion and the residuetheorem etc..All of these results generalized the classical results.

第二，本文所讨论的各种函数性质以及所得的结果都在泛Clifford代数〓上所做的工作，它一方面包含了从前在泛Clifford代数〓上所做的工作，所得到的结果更广泛、更漂亮、更自然，另一方面，本文也是迄今为止第一次建立起来了在泛Clifford分析中与经典函数论相对照处基础地位的LR正则函数在特异边界上的Cauchy积分公式、Cauchy积分定理、平均值定理、极大模原理的三种表达形式、Taylor展式、Laurent展式留数定理等深刻的结果。

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"。

Shop assistant: Please check at the door.

店员：请您到门口柜台交费。

In the end, transportation of PAHs in the environmental matrix was preliminarily investigated and discussed according to PAHs data of soils and sediments from a certain region in Shanghai. The result indicated that there are two or more pathways on PAHs transportation in the environmental matrix.

最后，对上海特定地区内PAHs在环境介质中的迁移径途进行了分析讨论，结果表明上海市土壤和沉积物等环境介质中PAHs的迁移存在多种途径。