循环群

Her Earthsea Cycle takes place in a world of uncharted sea that contains a huge archipelago of islands.

她的陆海循环发生在一个地图上未标明的海洋，这里包含了庞大的岛群。

A fast algorithm for calculating the inverse and Moore-Penrose inverse of the permutation factor circulant matrix is presented. Then, a fast algorithm for the product of the permutation factor circulant matrix is given. Finally, The least-square solutions of inverse problems and the optimal approximation problems for the permutation factor circulant matrix are discussed.

首先给出了一种求n阶置换因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法，然后给出了计算两n阶置换因子循环矩阵之乘积阵的一种快速算法，最后给出了其反问题的最小二乘解的存在性定理及它的一般表示，并证明了逼近矩阵的存在唯一性且给出它的具体表达式。

We present linear codes over finite fields with Mannheim weight and prove that those codes can correct one error taken from a cyclic subgroup of the multiplicative group of finite fields, which provide an algebraic approach in coding modulation.

最后讨论了有限域上的Mannheim线性纠错码，证明了当错误取值于有限域乘群的一个循环子群时，面向多维信号的线性分组码可以纠单个错并为码调制提供了一种代数渐进方法。

In this paper, new classes of linear block codes over finite fields of the algebraicinteger ring of quadratic number fields Qd~(1/2 modulo irreducible elements with norm p or p~2 are presented. These codes can correct one error which takes from the cyclic subgroup of the multiplicative group of the finite fields. The results presented in this paper extend the corresponding results of previous papers.

在处理适用于二维信号的线性分组码时，我们考虑类数为1的有理数域二次扩域Qd~(1/2的代数整数环，利用范数为p或p~2的不可约元构造有限域，给出剩余类域的一组完全陪集代表元系，从而构造出一类有限域上的线性分组码，当错误取值于有限域乘法群的一个循环子群时，所得到的适用于二维信号的线性分组码可以纠单个错，推广了文[14-16]的结果。

If each minmal subgroup or cyclic subgroup of order 4 of H is π-quasinormally embedded in G, then G∈F.

如果H的极小子群或4阶循环子群均在G中π-拟正规嵌入，则G∈F。

If every minimal p-subgroup of G is containedin Z, every cyclic subgroup of order 4 of G is conditional c-normal in G, then G isp-nilpotent.Theorem 2.3.9 Let p be a fixed prime.

定理2.3.9对某个固定的素数p，设G的每个极小p-子群包含于Z，4阶循环子群在G中条件c-正规，则G是p-幂零的。

As to cyclic codes over finite chain rings, we study their stucture and develop the Fourier Transform method to finite chain rings. The permutation groups of cyclic codes and their extended codes are investigated using their Mattson-Solomn polynomials.

对于有限链环上的循环码，我们研究了它们的结构，并把傅立叶变换的方法推广到有限链环，用循环码的Mattson-Solomn多项式对循环码及其扩展码的置换群进行了研究。

Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold

本文确定了亚循环的内交换p-群(p≠2)的自同构群的阶，并给出了其自同构群的结构。

The station raises due process, sell timelily two, be bought next again a few fill and expand this raised site group, so you this site group the conference is bigger and bigger, value also is met taller and taller, ordinal loop buys a station to raise a station to sell a station to buy a station to buy a station to raise a station to sell a station.

站养到一定程序，适时的卖掉一个两个，然后再去收购几个填补和壮大养的这个站点群，那么你这个站点群会越来越大，价值也会越来越高，依次循环-买站-养站-卖站-买站-买站-养站-卖站。

The default cast cycle is to pull with a starfire then follow up with a wrath and insect swarm, you then keep casting wraths while renewing insect swarm as it wears off.

通常情况下的循环是，施放星火开始，施放愤怒接着虫群，施放愤怒并随时保持虫群存在。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失