查询词典 involutory algebra

I am a professor of the Department of Applied Mathematics at Xiamen University, a doctoral supervisor, and also the mentor of Mr. Ben Niu in the course Linear Algebra and the course Abstract Algebra. Therefore I have good knowledge of his academic capabilities and potential, so to speak...

我是厦门大学数学系教授、博士生导师，也是牛犇线性代数和抽象代数的授课老师，可以说我对他的学习能力和发展潜力是比较了解的，听说他正申请攻读贵校的硕士研究生课程，我当然全力支持。。。

This dissertation is changed into two parts. The first part, the theory and application about Wu-Ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc.

本文共分两部分，第一部分讨论微分特征列法的理论和应用问题，涉及到微分方程，抽象代数，计算机代数等重要学科。

Higher algebra is an abstract and theoretical subject.In the teaching,it is hard to join the examples with the real life.This gives people the impression that learning algebra is not useful.

高等代数是一门抽象性和理论性较强的学科，在教学中所涉及的例子较少能与实际生活密切相连，让人感觉到学习的内容与生产实践脱节，体现不了数学的应用价值。

We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition , substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

Keywords: Hecke algebra; quantum affine algebra; Fock space

中文关键词：黑克代数；量子仿射代数； Fock空间

Based on White event algebra, the formal framework is extended for event algebra, considering semantic definition of events in more concise temporal relationships of events to enhance the expressiveness of event query language while taking into consideration event selection and consumption policy-the context consumption policy to improve the performance of event detection.

基于White事件代数，扩展了事件代数的形式化框架，在形式化框架中考虑复合事件在更精细的时间关系下的语义定义，以增强事件代数的表达能力，同时考虑与应用相关的事件选择和消费策略-上下文策略，以提高事件检测的性能。

MV-algebra is a kind of logic algebra, which has been introduced by the international famous model expert C.

MV-代数是一种逻辑代数，它是国际著名模型论专家C.C。

Tai Chi has algebra contains the contents of the dialectic, and Tai Chi is dialectical logic of algebra and math.

太极代数里包含有辩证的内客，而太极代数是辩证逻辑的数学化。

In nearly half a century, the scholars of various countries have already made the rich achievement to the studying of MV- algebra and a lot of algebra systems with logic background.

近半个世纪以来，各国学者对MV-代数以及许多具有逻辑背景的代数系统的研究已取得了丰硕的成果([1]，[3-14])。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。