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- The group theory was invading almost every domain of mathematics. 群论几乎渗入数学的各个领域。
- Here the term maximal subgroup differs from its standard use in group theory. 这里的术语极大子群不同于它在群论中的标准用法。
- We study partial differential equations (PDEs) by using symmetry group theory. 本文运用对称群的理论来研究几何中的偏微分方程。
- Stone Representation Theorem is just as important to Boolean Algebra as Cayley theorem is to abstract group theory. Stone Representation Theorem之于 Boolean Algebra就象 Cayley Theorem之于 Abstract GroupTheory一样重要 .
- Tensor analysis and differential geometry, Group theory, Green's functions, Variation. 张量分析及微分几何、群论、格林函数或变分法。
- The paper analyzed the critical failure action and brittle rock with a penetration and reestablishment group theory. 利用逾渗和重整化群理论初步分析了脆性岩石的临界损伤破坏行为,指示性地得出了岩石的临界破坏概率。
- Base on the group theory, a new method to calculate affinity and two novel crossover operators was proposed. 依据群论的观点，提出一种新方法计算亲和度，并提出两种新的交叉算子。
- In this paper the equivalent solutions of TSP was analyzed by using group theory. 摘要以群论的观点考察货郎担问题(TSP)的等价解。
- In group theory they are the so-called irreducible representations of the point group considered, a name that some authors prefer. 在群论中,它们是所谓的点群的不可约表象,这是一些文献作者喜欢使用的名词。
- The present thesis essentially aims at generalizing one theorem about the complete group in the finite group theory up to the infinite abelian group. 本文中心,是将有限群论中关于完全群的一个定理推广到无限Abel群。
- The main work includes:The kinematic properties of this transmission mechanism are researched deeply usingthe method of the Assur Group theory. 主要工作：
- The possibility was suggested that the plane constitute in art was designed using the plane group theory in crystallography. 探讨了将晶体学中的平面群理论运用于艺术领域中平面构成设计的可能性。
- MNDO calculations and group theory were carried out on tetraphenyl porphyrine(TPP) to obtain its optimum molecular geometry. 运用MNDO计算和群论，优化得到了较满意的中位取代四苯基卟啉(H2TPP)的分子构型。
- In this thesis, we concentrate on two subjects relating to group theory: tetravalent half-arc-transitive graphs and integer flows in graphs. 本文的主要内容分为两部分，前半部分是对4度半弧传递图的研究，后半部分是对整数流的研究。
- Using the Lie group theory and method, we presented a necessary condition for the existence of generalized symmetry of ordinary differential equations. 摘要利用李群理论和方法给出了自治常微分方程存在某类特殊广义对称的必要条件。
- A possible mechanism of APVE is discussed from the point of view of ion group theory (IGT) , Finally its applications are prospected. 从离子基团理论出发;指出了产生反常光伏效应的一种可能的途径;并简述了其应用前景.
- In this artical,we will expound only the application of group theory,particularly the Liegroup and Lie algebra,and topology to partical physics. 本文仅就纯粹数学中的群论,特别是李群和李代数以及拓扑学这两个分支在粒子物理学中的应用加以研究,以揭示数学在现代物理学中的重要作用。
- He reported on the whole event to the minister. 他把整个事件向部长做了汇报。
- Group theory is one of the great simplifying and unifying ideas in modern mathematics, and it has important applications in many scientific fields. 我们知道群论是数学的一个重要分支，它在很多学科都有重要的应用，例如在物理中的应用，群论是量子力学的基础。
- In this paper,by using method of group theory, we proved that connected disdirected color graph G(F,S) of finite exchanged - group is Hamiltonian graph. 本文应用群论方法，证明了有限交换群的连通无向色图G（F，S）是Hamilton图。
