群论

最后用例子说明，群论中的基本事实不是都可平移到Fuzzy子群。

Finally we show by two examples that not all basic facts in group theory can carry over to fuzzy groups .

群论中Lagrange定理的推论

Corollary of the Lagrange Theorem of Group Theory

Fuzzy商群是Fuzzy群论的一个重要概念。

Fuzzy quotient group is an important concept theory of Fuzzy group .

用群论方法分析了RNA单链和DNA双链的构象振动；

The conformation vibrations of RNA and DNA molecules are analysed in detail .

ML8型配合物空间构型的群论处理

Treating the space configuration of ML 8 complex with the group theory

C（60）分子振动谱计算中群论方法的应用

The Application of the Group Theory Method to the Calculation of the Vibrational Spectrum of C_ ( 60 ) Molecule

本文对新型有机光学非线性晶体LAP的晶格振动进行了群论分析。

A group-theory analysis of single crystal LAP has been made .

本文用群论方法推出多原子分子正则振动模式的可约表示特征标公式，在IBM微机上实现程序化，使红外光谱振动模式分解更加简便、实用。

The character of reducible representation for normal models of multi-atomic molecular system is formulated by group theoretical approach .

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 .

应用群论方法处理NH3分子的振动模式

Applying Group Theory to Analyze the Vibration Modes of NH_3 Molecule

推广Wilson定理的群论证明

The Proof of Generalized wilson 's Theorem by Using the Method of Group Theory

COS分子红外谱的群论计算

Group theoretic calculation for infrared spectral of the triatomic molecule cos

本文对新型紫外倍频晶体偏硼酸钡（β-BaB2O4）的晶格振动进行了群论分析。

Lattice vibrations of barium metaborate (β - BaB2O4 ) crystal are analysed with the aid of group theory .

特别地，我们证明了对于正规理想，类似于有限群论中的Lagrange定理成立。

In particular , we have proved the Lagrange theorm of finite BCI-algebras similar to that of finite groups .

用群论方法给出H2O分子的三种简正振动模式的数学表达式，并对有关计算作进一步分析讨论和补充修正。

Mathematical representation of three types of vibration modes for the water molecule is given .

利用有限群Zn的性质，讨论群论，数论，多项式理论，经典信息论及量子信息论中的有关问题。

This paper discussing problems in Group theory , Number theory , Polynomial theory , Classical information theory and Quantum information theory by properties of Z_n .

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 .

D（4h）~9空间群Γ点的相变群论分析

Analysis of group theory of phase transitions at γ point of space group d_4h ~ 9

以群论的观点考察货郎担问题（TSP）的等价解.算子半群生成元的等价豫解特征

In this paper the equivalent solutions of TSP was analyzed by using group theory . EQUIVALENT CHARACTERS OF GENERATORS OF OPERATOR SEMIGROUPS

进而，应用不涉及群论的CK直接方法得到了非线性弦振动方程的更为一般的相似约化。

The more general similarity reductions are obtained by the CK direct method , this method does not require the Lie group theoretic techniques .

将群论原理用于C（60）分子振动谱的计算，彻底解决了动力学矩阵的降阶问题，并提出了一种非线性拟合的有效方法。

Group theory principles are applied to the calculation of the vibrational spectrum of C_ ( 60 ) molecule . The reduction problem of the dynamical matrix is completely solved . In addition , an effective method of the nonlinear fitting is proposed .

本文用群论的方法研究了所有理想变压器和所有回转器构成的集合GIT（2）。

The set GIT ( 2 ) of all gyrators and ideal transformers is studied by the method of group theory in this paper .

本用群论研究了双口网络集合，双口理想变换器与器件的集合，2n端口理想变换器和器件的集合。

Group theory is applied to study two-port network set , two-port ideal coverter and devices set , 2n-port ideal converter and devices set .

本文提出一种新的方法，它把群论算法与双协调子结构法组合起来去分析回转对称CN结构。

In this paper , a new technique is proposed to combine the group theory algorithm and double compatible substructure method for analyzing rotationally symmetric ( C n ) structures .

运用群论及原子分子反应静力学方法，推导了XY（H，Li，Na）分子基态的电子态及相应的离解极限。

In this paper , the electronic states of the ground state and dissociation limit of XY ( H , Li , Na ) are correctly determined based on group theory and atomic and molecular reaction statics .

本文根据畴结构的群论原理，对有序绿辉石的空间群归属问题（P2还是P2/n）进行了讨论。

Based on the group theory of domain structure , the problem that the type of space group of ordered omphacite is P2 or P2 / n has been discussed .

本文给出了一种不利用李群论，而仅凭微分流形和矩阵论的一些基本知识便能算出dim（O（n；R））的方法。

This paper gives a method by which we can calculate the dim ( O ( n ; R )) . The method is obtained only by using basic knowledge of differential manifold and matrix theory , but without using Lie group Theory .

根据晶畴结构的群论原理，对Ca2SiO4的α′H→α′L相变所导致的畴结构类型进行了推导。

Based on the group theory of domain structure , the type of the domain structure resulting from transformation of α _H ' - Ca_2SiO_4 into α _L ' - CaSiO_4 are determined .

首先利用群论，将Td点群中以五个d轨道为基函数的五维可约表示向不可约表示约化，得到d轨道在正四面体场中的能级分裂；

First of all , when the five-dimension reduction representation with the five d orbits wave-functions as the base functions is converted to an un-reduction representation , the energy splitting in tetrahedron crystal field can be obtained .

对于恒温条件下的独立谐振子体系，本文给出一种分解算子exp（-β）的群论方法来计算体系的配分函数ZN（β）。

In this paper , for a system of independent harmonic oscillators in the condition of constant temperature , we give a method of resolving the operator exp ( - β) by group theory to calculate the partition function Z_N (β) of the system .