查询词典 representation theory

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。

Based on the new theories developed in biology,the basic theoreticalproblems of the genetic algorithm,which are the representation scheme,co-nvergence and convergence rates of the genetic algorithms,etc.,are discussedwith Boolean algebra,group theory,martingale theory and axiomatic method inthe framework of the Markov chain.

本文以生物学发展的新理论为背景，在遗传算法的Markov链框架下运用Boole代数、群、鞅及公理化方法研究遗传算法的表示、收敛性与收敛速度等基本理论问题。

Based on the methods and techniques of covering theory, the structure of module category of tame concealed algebra, one-point extension, vector space category, finite enlargement, degeneration theory, stable equivalence and combinatorial method, we will classify all of the three-point algebras with Gabriel quiver the system quiver Q according to representation type. We get the classification theorem: Let A=kQ/I be a three-point algebra given by the system quiver Q.

本文综合利用覆盖理论，tame concealed代数模范畴的结构，单点扩张，向量空间范畴，有限enlargement，退化理论，稳定等价以及组合的方法等多种方法和技巧，将所有由系统箭图Q给出的三点代数按表示型进行分类，得到如下分类定理：Q是系统箭图，I是kQ的一个admissible理想。

Providing new insights into classical results and opening avenues for further applications, the book then uses representation-theoretic techniques-especially induction theory-to examine equivariant higher algebraic K-theory, their relative generalizations, and equivariant homology theories for discrete group actions.

提供更进一步的应用的新对古典结果和开的大街了解，书然后使用代表理论技术特别是就职理论检查equivariant高代数学K 理论，他们有关概括，和equivariant 相同理论适合分离的组行动。

Concept lattice theory and rough set theory,two different methods for knowledge representation and knowl- edge discovery,are successfully applied to many fields.

概念格理论和粗糙集理论是两种不同的知识表示与知识发现的工具，都已被成功应用于许多领域。

This direction of research associates the graph in graph theory with the matrix in algebra by the matrix representation of a graph, then studies the algebraic property of graphs with the methods in graph theory and algebra.

该研究方向是通过图的矩阵表示将图论中的图与代数中的矩阵联系起来，再利用图论和代数方面的一些方法来研究图的代数性质。

In the third part, the author analyzes the representation and substance of "the Yellow Peril" and refutes its inclement intention, regarding that its both the bandit theory of colonialist and the white paramount theory of racialist.

第三部分着重分析"黄祸论"的表现及其实质，批驳"黄祸论"的险恶用心，指出它既是殖民主义者的强盗理论，也是白人至上种族主义者的理论。

Theory of representation for tensor functions is introduced concisely in this paper , and a new strength criteria in the plain woven composites is derivated by this theory.

简单的介绍了张量函数表示理论，在该理论的基础上提出了一种新的适用于平面正交机织复合材料的强度准则。

Firstly based on the theory of Semantic Element and the characteristics of phrases and sentences with prepositions,the Semantic Pattern Bases of English prepositions(special Semantic Element Representation Bases for prepositions) were presented.Then the translation process of prepositions was in two steps.One was getting English complete semantic pattern by semantic analysis based on Semantic Pattern Base,the other was deploying into Chinese complete semantic pattern and Chinese representation.

介词的翻译由两步来实现：第一步基于语义模式库对英语含介词的短语和句子进行语义分析得到英语完整语义模式；第二步基于语义模式库将英语完整语义模式代入展开成为汉语完整语义模式和汉语译文。

Fractal is a subdiscipline of nonlinear area, researches on fractal characteristics of the deoxyribonucleic acid sequence may reveal some secret hidden in the DNA sequence during the process of biological evolution. Chaos Game Representation was proposed as a scale-independent representation for genomic sequences by Jeffrey in 1990. This technique, based on iteration function system, represents the word distribution statistics in DNA sequence as the fractal graphic. Therefore, we can get the distribution of sequence through analysis of fractal theory.

分形是非线性领域的一门分支学科，关于脱氧核糖核酸序列分形特征的研究，可以揭示生物在进化过程中隐藏在DNA序列中的某些秘密。1990年Jeffrey提出了基因组序列的与尺度无关的混沌游戏表示法，这是基于迭代函数系统的一种方法，它将DNA序列中一定长度字的分布规律表现为图形的分形特征，进而通过分形分析就可获取序列的分布规律，从而也成为DNA序列分析的一种统计方法。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。