The symmetries of braided geometric structure can be described with symmetry group .

编织几何结构的对称 性可以用 对称 群加以描述。

Systematic check of symmetry group tables

对称 群表的系统校验

In this paper the construction of commutative algebras for a matrix is established according to its Jordan canonical matrix . From this the symmetry algebra of a bilinear system is derived and a way of finding the symmetry group for a nonlinear system is presented .

本文根据矩阵的Jordan标准形建立矩阵的交换代数的构造方法，在此基础上导出双线性系统的对称代数，并给出寻找一般非线性系统的 对称 群的一种途径。

Boson Realization of the Fermion Dynamical Symmetry Group

费米子动力学 对称 群的玻色子实现

On the Symmetry Group and the Closure of the 3j and 6j Symbols

3j符号和6j符号的 对称 群及其封闭性

The symmetry group and harmonic potentials of

静磁广义多极系统的 对称 性 群及谐波势

Lie symmetry group reduction of the systems preserving n-form and Its Applications

保持n-形式系统的Lie 对称 群约化及应用

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 .

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。

Derivation of subgroup network of three-dimensional crystallographic symmetry group

三维空间 子群网的推导

The etch pits of dislocations and symmetry group in bi_ ( 12 ) geo_ ( 20 ) crystal

Bi（12）GeO（20）晶体的位错蚀斑与 对称 群

The PL spectra for y 0 and a phases are analyzed using the symmetry group theory .

利用 群 对称理论，分析了γ，θ和α相结构对应的光致发光谱。

The Experimental Research of Teaching of Selecting Subjects on Symmetry and Group

选修专题 对称 与 群的教学实验研究

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。

The subgroup network of the three-dimensional crystallographic symmetry group has been derived based on the two maximal finite groups corresponding to two geometrically inequivalent classes .

在严格的 群论基础上对三维空间的两个几何不等价的极大有限群的子群网进行了详细推导。

An axial vector R is selected as the order parameter to reflect the change of symmetry in anti-ferroelectric phase transition . According to Curie principle the satisfying results are obtained relative to the change of symmetry group in the phase transition .

用轴矢量R作为序参量来描述反铁电相便是对称性的变化，对于已得到的晶体相变前后的 对称点 群，应用居里原理，得到了理想结果。

Symmetry group S_4 And their standard subgroup A_4 K_4 Some characters

对称 群S4及其正规子群A4、K4的若干性质

Symmetry group analysis and similarity solutions of variant Boussinesq equation

形变Boussinesq方程的 对称 群及其行波解

Systematic check of symmetry group tables ( continued ) & proof on the error of the general formula B of the space group p42 / nnm

对称 群表的系统校验（续）&论证P42/nnm总公式B的错误

Further theoretical analysis indicates that there is a conversation law only when unitary transformation symmetry group exist .

进一步的理论分析表明，只有存在一个幺正变换 对称 群时，才有一个守恒定律。

The theorem says : in the theory of ac machine winding pole-changing the sufficient and necessary conditions of the slot number in the minimum symmetry group being one are that p1 and p2 are non-triples .

定理的内容是：在交流电机绕组变极理论中，最小 对称 组槽数等于1的充分必要条件是p1和p2均非3倍数。

The method of symmetry group is very useful to the complete classification of the sys-tems integrable by IST .

对称 群方法对可用IST方法求解的可积系统的完全分类是一种很有效的方法。

Firstly we studyed the theories and methods of the symmetry group and reductions including classical Lie group method nonclassical Lie group method CK direct method and the modified CK method .

首先我们学习和研究了 对称 群和约化的理论和方法，其中包括：经典李群方法、非经典李群方法、CK直接约化法及改进的CK方法。

Using ergodic theory we show that the Lebesgue measure of the tile is a rational number where the denominator equals to the order of the associate symmetry group .

利用遍历理论，我们可以得到该基本tile的勒贝格测度是一个有理数，该有理数的分母等于定义tile所用到的 对称 群的阶。

The general symmetry group and the related finite transformations in nonlinear equations with variable coefficients can be obtained by the general symmetry group method .

对于变系数的非线性演化方程，使用推广的对称群理论求方程的 推广 对称 群，从而得到方程之间的有限变换。

Characters of symmetry group of C_ ( 60 ) and Eigenvalue of CSCO-I of I_h group

C（60） 对称 群Ih的特征标和Ih群CSCO&I的本征值谱

There are a few varieties of 3D braided structural composites the theory of braided geometric structures and systematic classification method of 3D braided structural composites should be approached deeply . Such problems have been solved by the theory of symmetry group in this paper .

三维编织复合材料的品种还比较少，用于描述编织几何结构的理论和系统的分类方法有待于深入研究，本文用 对称 群理论解决了这些问题。

Symmetry Group in Mechanical Assembling

机械装配中的 对称 群方法

Symmetry group as a feature for bodies in assembling is defined .

定义了装配物体特征的 对称 群。

Study on the slot number of the minimum symmetry group in AC machine winding pole-changing theory

绕组理论中p1和p2均非3倍数时最小 对称 组槽数的研究

A method that finds nonstarshaped domain is obtained by computing the symmetry group and is illustrated by an example .

通过计算变分 对称 群得到了寻找非星形区域方法并举例进行了说明。