算子代数

The derived relational algebra operators are widely used in the relational database query languages.

关系代数的派生算子在关系数据库查询语言中得到了广泛应用。

In the third chapter,we will discuss the properties of Haar measure,and then wewill prove the Ergodic theorem;at last,we follow Dale,Baaj and Skandalis to give twoexistence theorems of Haar measure,which we proved in different language.

在第三章我们讨论了Haar测度的性质，证明了〓双代数中的平均遍历定理，并且用算子的观点叙述证明了Dale和Baaj、Skandalis分别给出的两个Haar测度存在定理。

We characterize the left joint spectrum, generated C * algebra C * and Taylor essential joint spectrum of the n tuples of dominated operators in this paper.

给出了控制算子组T的联合左谱，生成的C 代数C以及Taylor本性谱的刻划

With the operator language introduced by Baaj and Skandalis, we shall discuss the existence of Haar measure. on a C*-algebra in this paper.

采用法国数学家 Baaj 和 Skandalis 引进的算子语言讨论了C*－双代数中的 Haar 测度的存在性。

Using this method,we discussed for generalized Burger equation with variable coefficients and linear danping,obtained its symmetry group,simliar reduced equations,infinitesimal generator and Lie algebras;In chapter 6,using the Exp-function method,the generalized solutions of combined KdV-mKdV equation with variable coefficients are discussed.

首先介绍了Lie群分析法的基本思想，其次用Lie群分析法得到了带线性阻尼项的变系数广义Burgers方程的无穷小变换、无穷小算子的李代数结构，并具体求出了带线性阻尼项的变系数广义Burger方程的群不变解和约化方程。

Process algebra, operator, fixed-point, compositional invariant property, constructive property, absolute security

进程代数，算子，不动点，复合不变性质，可构造性质，绝对安全性质

The M- radical of V is determined and a criterion for irreducibility of an admissble module for an arbitrary vertex operator superalgebra V is given.

设V是一个顶点算子超代数，M是一个可容许的V-模。刻划了V的M-根，并给出了一个可容许V-模不可约性的差别准则

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源：3282AB83C论文网www.abclunwen.com)，建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理，并在拓扑向量空间中定义了C_x-拟单调算子，引入了闭凸集K的inner点，给出了inner点与相对代数内点的关系，利用innK_c代替K的拓扑内部，建立了新的拟单调向量变分不等式。

Chapter 3 discusses the algebraic and spectral properties of dual Toeplitz operators on the orthogonal complement of the Bergman space, such as boundedness, compactness, spectral properties and so on.

第三章研究了多圆盘Bergman空间的正交补空间L_a~2(D~n~⊥上对偶Toeplitz算子的代数性质，比如：有界性、紧性和谱性质等。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。