查询词典 algebra over k

As reduction cases, the (2+1)-dimensional multi-component AKNS hierarchy and KN hierarchy are worked out respectively; at last, a loop algebra with 3 dimensions is constructed by using of some properties of exterior algebra, which is devoted to establishing many isospectral problems.

最后利用外积的性质构造了一个3 维的loop代数，由此可设计出许多新的等谱问题，作为应用，本文得到了一个类似的多分量的Boite-Pempinelli-Tu族。

Thirdly, a new loop algebra x with 3 M dimensions is constructed by use of some properties of exterior algebra, which is devoted to establishing a new isospectral problem. As its application, a multi-component integrable system similar to the TC hierarchy is obtained, whose reduction case presents a multi-component KdV equation.

由此可设计出许多新的等谱问题，作为应用，本文得到了一个多分量的TC族，其可约化为多分量的KdV方程。

In this research,the ArcGIS is thought to perform data resampling before map algebra.IDL is used to realize the function of map algebra here.

研究认为ArcGIS进行地图代数计算效率比较低的主要原因在于它在计算时首先对数据进行重采样。

With proving the isomorph between the function matrix algebra systems and the Boolean algebra s disjunction-conjunction systems,a method of extending the function matrix is proposed,and the expanding theorem of the extended function matrix is proven.

提出了功能矩阵的概念，在证明功能矩阵的代数系统与布尔代数析取合取代数系统同构的基础上，对功能矩阵进行扩展，并证明了扩展功能矩阵的展开定理；利用扩展功能矩阵逐步展开与约简，实现了功能的求解算法。

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。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。