1) subgroup
[英]['sʌbɡru:p] [美]['sʌb'grup]
子群
1.
Directed subgroup graph for studying the subgroup properties of finite groups;
利用有向子群图研究有限群的子群性质
2.
Relation between direct sum group and subgroup of direct sum group;
直和群及其子群之间的关系
3.
Study on structure of subgroup of direct sum group;
直和群的子群结构的研究
2) subgroups
子群
1.
The Existence of Nilpotent Hall π Subgroups;
幂零Hall π-子群的存在性
2.
Because the inverse of Lagrange theorem of finite group is not hold,it is difficult to determine all the subgroups of A_n,to determive whether An has the same order subgroups for any positive factor of the absolute value of |An|.
由于有限群的L agrange定理的逆不成立,当n较大时,要确定n次交代群An的所有子群,以及对于An的任一正因数,要确定A n是否有这个阶数的子群都要较困难的,文章通过计算5-循环置换各次方幂,再把各次方幂中的第4个数字去掉,得到4个2×2置换的乘积,从而构造出A 5的6个10阶子集,并证明了每个子集是A5的子群。
3.
Using Lagrange s theorem and the concept of n-letters symmetric group,we have Proved the only existence 30 certainly subgroups of the 4-letters symmetric group S4, getting rid of 2 normal subgroups, it has 9 2-order cyclic subgroups , 4 3-order cyclic subgroups,3 4-order cyclic subgroups, 4 Klein 4-elements groups 4 S4 (at the time of isomorphic meaning), 3 8-elements groups and 1 A4.
使用Lagrange定理及n次对称群的基本概念证明了4次对称群存在且只存在30个子群,并给出了每个子 群。
3) subpopulation
[英]['sʌb,pɔpju'leiʃən] [美][,sʌbpɑpjə'leʃən]
子群
1.
New Two-subpopulation Particle Swarm Optimization Algorithm
一种新的双子群PSO算法
2.
Particle Swarm Optimizer (PSO) with the idea of SSMPSO (shuffled subpopulations and mutation PSO) was improved.
提出一种子群混合与变异的微粒群算法(SSMPSO),按适应值大小将微粒均匀分为两个子群分别进行目标优化,当子群在一定进化代数内未满足收敛条件时重新混合为一个种群。
4) sub-cluster
群子
1.
Studies on the Relationship of Mechanical Properties and Micro-morphology and Sub-cluster Parameters of High Toughened and Strengthened PPO/PA6 Alloy;
高强高韧PPO/PA6合金的力学性能—亚微相态—群子参数之间关系的研究
2.
Studies on the Relationship of Combustibility and Mechanism of Combustion and Sub-cluster Parameters of Flame Retarded PET and Its Fibers;
阻燃PET及其纤维的燃烧性能—燃烧机理—群子参数之间关系的研究
3.
In order to describe all types of viscosity-composition curves of polymer blends wihh mathematical model, sub-cluster equations were derived on the basis of "sub-cluster theory".
为用统一的数学模型对高分子合金的粘度-组成曲线进行描述,运用群子理论的基本概念,推导出了不同形式的“群子方程”。
5) multipopulation PSO
多子群粒子群
6) quantization of subgroup
子群量子化
补充资料：子群
设<g,·>是一个群，h是g的子集，若h在运算·下也是群，则称h是g的子群。
作为二元关系，子群关系具有传递性。即若h是g的子群而k是h的子群，则k也是g的子群。
关于群的子群的判别问题，有下列命题：
1.设h是群<g,·>的非空子集，则h是g的子群当且仅当h满足下列两条件之一：
（1）对任意a,b∈h，a·b∈h 且a^(-1)∈h；
（2）对任意a,b∈h, a·b^(-1)∈h。
任何群<g,·>有两个平凡的子群：g和，其中e是g的幺元。
相关词条：
陪集，正规子群，中心
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条