本文用群论的方法研究了三阶非线性弹性的轴转动对称性。
In this thesis, the axis rotation symmetry of third-order nonlinear elasticity was researched with the help of group theoretical methods.
在不借助群论的条件下，给出了转动矩阵的三种直接计算方法。
Under the circumstances that do not have the aid of group theory, we give three direct ways to calculate the rotation matrix.
利用群论的方法及定域键的观点可以把轨道对称守恒原理表述为键对称守恒规律。
The conservation principle of orbital symmetry may be represented as conservation law of bond symmetry, by means of group theory and the point of view of the localized bonds.
用群论的方法，较简练地推断出量子跃迁的宇称选择定则，自旋选择定则，与对称类型有关的选择定则等。
The paper describes a brief deduction to have the parity selection Rules of Quanta Transition, Spin Selection Rules and other Selection Rules about Symmetric kinds by the method of Group Theory.
不群论在哪个年龄组，这两项判断都是密切相关的——更有魅力的面孔一般会被评定为更值得信任。
Acrosss age groups, the two judgments were closely linked - the more attractive faces, in general, were also considered more trustworthy.
李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。
Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.
用群论方法处理多原子分子的振动问题，是群论在化学中的一个重要应用。
To solve the problem of molecular vibration on group theory is an important application of it in chemistry.
考虑群的数量关系对有限群结构的影响是有限群论中一个重要课题。
It is an important subject to study the influence on the structure of finite groups by their quantitative relationship.
本文书传统的群论图形生成加以推广，得到了典型分形曲线的一种快速生成方法。
The traditional curve generating method of group theory is extended to give a quick method of typical fractals curve generating.
以优势资源利用为核心的产业集群论。
Theory of group industry based on the advantage of resources.
本文利用群论方法，给出了处理对称与反对称结构电磁散射问题的统一方法和理论依据。
An unified approach based on the group theory was presented to deal with the EM scattering from symmetric and anti-symmetric structures.
与此同时，实现了一些数学(群论)定理的机器证明，命题的逻辑推演等。
At the same time implemented machine proof of some mathematical theorems (Group theory) and logical Inference of statements.
介绍群论在光子晶体带隙平面波展开法计算中的应用，推导了改进后的算法公式。
Group theory is introduced into the calculation of photonic band gap with the plane wave expansion method, and improved calculation formulae are derived.
MSN社群论坛、QQ社群论坛、猫扑大杂烩是三大在中国最受欢迎的BBS论坛平台了。
MSN community forums, QQ forums, and Mop. com are three of the most popular BBS platforms in China.
对静电学中用电象法求解两无穷大接地金属板间楔形区域内的电场的题目，利用群论方法加以讨论，给出了可求解的条件及一般的象电荷分布。
A sort of electrostatics problem that using electric image method to solve the electric field in the wedge area between two infinite earthing metal boards are discussed using group theory.
并运用群论和原子分子静力学方法，推导了SH (SD)自由基分子基态的合理离解极限。
The dissociation limit of SH (SD) radical is correctly determined based on group theory and atomic and molecular statics.
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。
But the group theory is in the algebra is most ancient one of richest branches, is the modern algebra foundation.
运用对称群知识进行空间推理，产生了关于物体之间的可能关联位置集合的群论结构，得到两个物体能否装配的必要条件，并举例说明其应用。
Making use of the concept of symmetry group, spatial reasoning is implemented and the construction in group theory for sets of possible relative locations among bodies can be developed.
本文想法的直接背景是群论中的算子群理论。
The most direct ideas of this paper is the operator group theory in group-theory.
用群论方法给出了一种具有特殊本征对称性的四阶张量在各点群晶体中的形式，并将其应用于声光散射转动效应的研究，获得了有意义的结果。
The form of a four-rank tensor with the particular intrinsic symmetry for a variety of crystal symmetry is given by the use of the group theory method.
本文利用群论建立起一套分析对称结构系统的有力的计算方法。
In the paper using group theory a systematic and powerful computational methods are established to analyse symmetric structures.
当G的特征标表中零点个数很少时，可以期望G的群论结构有很大限制。
If there are very little zero points in the character table of G, then the structure of G can be restricted.
计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。
Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.
文中涉及的主要理论有群论，伽罗华域，模代数和线性代数。
The main means used in the paper are group theory, Galois field, module algebra and linear algebra.
群论在化学中的应用是建立在对称性基础之上的。
群的基本同态定理是群论研究中最常见、最有价值的结论之一。
The fundamental homomorphism theorem is very important consequence in group theory, by using it we can resolve many problems.
群论研究的一个重要问题是对有限群的p—幂零性对有限群结构的影响。
Burnside asserts, if any sylow p-subgroup P of a finite G lies in the center of its normalizer, then G isp-nilpotent.
用群论方法导出具有轴转动群so(2)对称性的三阶非线性弹性系数张量的一般形式。
The general form of the third-order nonlinear elastic coefficient tensor having the symmetry of the group so (2) was derived with the help of group theoretical methods.
对于有限群的幂零性的研究已受到很多群论专家的关注。
One of the important problems in the theory of finite groups is to study the effect of nilpotency on the finite groups.
这些新方法和独特的机构化的计画允许显著的对群论解决办法易受感动的颂歌的数量的增加。
These new methods and the unique organizational scheme allow a significant increase in the number of ODEs amenable to group-theory solution.
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