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1)  double coset decomposition
双陪集分解
1.
Cauchy s theorem and Sylow s theorems for finite groups are proved by means of the double coset decompositions and some basic enumeration techniques.
从Cauchy定理的证明出发,用双陪集分解以及初等的计数技巧归纳地证明了Sylow定理及其Frobenius型推广。
2)  solution coset
解陪集
1.
This paper mainly researches the relationship among the solution coset of linear equations form the angle of the coset of invariant subgroup,in the course of which the base and the dimension of quotient space have been found out.
从不变子群的陪集的角度研究线性方程组的解陪集之间的关系,并找到了商空间的基与维数。
3)  two-sided coset
双侧陪集
1.
The concepts of one-sided coset and two-sided coset were given,some of properties of two-sided coset were discussed,and it was pointed out that two-sided coset b~(-1)Ha~(-1) is just consist of inverse elements of each element existing in two-sided coset aHb,and that aHb≤ Gb~(-1)Ha~(-1)≤G.
给出了单侧陪集、双侧陪集的概念,讨论了双侧陪集的若干性质,并指出双侧陪集b-1Ha-1恰由双侧陪集aHb中每个元素的逆元组成,且aHb≤G b-1Ha-1≤G。
4)  cyclotomic coset
分圆陪集
1.
For givenτ andη ,a method which decidesλ to satisfy trinomial is proposed, the acquisition of all trinomials of a m-sequence only depends on the reciprocal polynomial of the primitive polynomial which produces the m-sequence and the cyclotomic cosets mod pn-1.
无需给出 m序列,只需通过产生 m序列的本原多项式的互反多项式以及关于模 pn-1的分圆陪集就可以获得全部序列三项式。
5)  cyclotomic cosets
分圆陪集
1.
Applicable qualification of calculating the correlation function of m sequence based on cyclotomic cosets;
基于分圆陪集法求解m序列相关特性的适用条件
2.
This paper presents the new formula for computing the number of the leader-set of cyclotomic cosets.
本文给出了求分圆陪集首集中元素个数新的计算公式,确定了长度为k的分圆陪集的个数。
3.
The details are given as follow: (1) The calculating formulas of cyclotomic cosets are studied and extended.
具体内容如下: (1)研究F_(2~m)上分圆陪集的计数公式并进行了推广,给出了(s,n)=1和(s,n)=s情况下C_s的计数公式; (2)根据BCH码的特点,利用M(?)bius反转公式,给出了论文所设计的BCH码族及其对偶码族的周期分布; (3)引入函数△(n)=(?)u(r)2~(n/r),通过M(?)bius反转公式给出了论文所设计的BCH码族的非循环等价类计数公式; (4)设计实现了参数为[31,11,d]_2(d≥11)的BCH码的B-M迭代译码算法。
6)  coset partition
陪集分割
1.
The algorithm aims at Gaussian sources,implements with LDPC,and is based on the coset partition principle.
该算法针对高斯信源,基于陪集分割原理,采用LDPC实现。
补充资料:冬至日陪裴端公使君清水堂集
【诗文】:
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【出处】:
全唐诗:卷817-36
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