1) double coset
重陪集
1.
HaK be known as double coset of G which includes H and K.
设G是群,H≤G,K≤G,a∈G,称HaK是G的关于H、K的重陪集;证明了重陪集Ha-1K恰由重陪集KaH中每个元素的逆元组成,给出了两个重陪集相等的条件,证明了重陪集HaK构成子群的7个等价命题。
2.
By using the theories in Basic Algebra about holomorph, normal subgroup and double coset, this article discusses the order of quotient group Hol (G)/G L briefly, and proves two related conclusions.
运用基础代数中有关正规子群、全形和重陪集等理论 ,对商群 Hol(G) / GL 的阶数进行了探讨 ,得到了 2个关于 G是有限群的结论 。
2) coset
[英]['kəuset] [美]['kosɛt]
陪集
1.
A Coset Searching Algorithm Based on Quantum Low-density-parity-check Codes;
一种基于量子低密度奇偶校验码的陪集搜索算法
2.
High-dimensional affine codes were constructed using weak block designs, where the s-dimensional coset of s-dimensional affine geometry G(m,p) over a finite field F_p was taken as an informational bit, and every s-dimensional coset family corresponding each element was regarded as a check line.
利用弱区组设计的方法,以Fp上的m维仿射几何G(m,p)的s维陪集为信息位,将每个元素对应的s维陪集族作为监督维线,构造了高维仿射码,并且分析了该码的码长、维数、极小码距和码率。
3.
With regard to the section of coset in algebraic structure, a series of well-mastered concepts including equivalent relationship and division are applied, and typical examples are cited to introduce the conception of equivalent relationship-coset relationship defined through subgroup.
对于其中代数结构部分的陪集一节,应用已经熟知的等价关系和划分的概念,通过引例导出由子群定义的等价关系———陪集关系,进而得到群的划分———陪集,再研究陪集的性质。
3) coset graph
陪集图
1.
The CI-property of coset graphs of groups with order qp;
qp阶群陪集图的CI性
2.
The Cayley graph and Sabidussi coset graph are the classical representativities of these graphs.
通常图的对称性的描述是通过图的全自同构群的某种传递性质,这类传递图的典型代表是Cayley图和Sabidussi陪集图,本文主要目的是研究4p阶及6p阶群的Cayley图及陪集图的CI性和正规性。
3.
The classical representations of these type graphs are Cayleygraphs and Sabidussi Coset graphs.
这类图的典型代表是Cayley图和Sabidussi陪集图。
4) relation of coset
陪集关系
5) coset head
陪集首
6) cyclotomic cosets
循环陪集
1.
The calculation formulae for period distribution of q-ary BCH codes with designed distance 7 were obtained based on the discussion of cyclotomic cosets and property of cyclotomic polynomials: the period distribution is q s power.
通过对循环陪集的研究及利用分圆多项式的一个性质,得到了设计距离为7的q元BCH码的周期分布计算公式:码的周期分布为q的幂,当码的周期不等于某些特殊值时,幂为码长与周期的最大公因数。
2.
In paper[1],The problem of finding the lower bounds on minimum distance for Goppa Codes and Alternant Codes was turned into the problem of finding the element M(r) which is first greater than the given r in the lead set of cyclotomic cosets A.
文献［１］将求Ｇｏｐｐａ码、Ａｌｔｅｒｎａｎｔ码最小距离下限归结为求循环陪集首集Ａ中最小的比ｒ大的元Ｍ（ｒ）的问题。
补充资料：春日陪颜使君真卿、皇甫曾西亭重会《韵海》
【诗文】：
为重南台客，朝朝会鲁儒。暄风众木变，清景片云无。
峰翠飘檐下，溪光照座隅。不将簪艾隔，知与道情俱。
【注释】：
【出处】：
全唐诗：卷817-52
为重南台客，朝朝会鲁儒。暄风众木变，清景片云无。
峰翠飘檐下，溪光照座隅。不将簪艾隔，知与道情俱。
【注释】：
【出处】：
全唐诗：卷817-52
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