查询词典 simple algebra

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])。

Lattice implication algebra is an algebraic system combinating lattice with implication algebra.

格蕴涵代数是徐扬教授为研究格值逻辑把格与蕴涵代数相结合提出的一个代数系统。

Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

Lattice implication algebra is a kind of algebraic structure combined with lattice and implication algebra. It is an important method in the research of lattice-valued logic.

格蕴涵代数是将格与蕴涵代数结合起来的一种代数结构，是研究格值逻辑系统及其性质的一个重要途径。

It is shown that, any reprersentation finite special biserial algebra has a Groebner basis theory, and a finite-dimensional basic algebra over an algebraically closed field is representation finite if and only if every module over it has a right Groebner basis theory.

证明了表示有限特殊双列代数有Groebner基，从而扩大了Groebner基理论的应用范围；证明了一个代数封闭域上的有限维代数是表示有限特殊双列代数当且仅当其上每个右模都有右Groebner基理论，从而扩大了右Groebner基理论的应用范围。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。