循环群

Any column of the matrix can be permuted randomly, and the permutation between columns should satisfy the form which is the automorphism group of the binary cyclic Turbo code generated by the feedback polynomial.

该矩阵的任意一列可采用随机交织方式，而列间交织方式必须是按由反馈多项式生成的循环码字集的自同构群构成。

The random, looped animations of fish swimming in the sky were also made in CINEMA 4D before being duplicated with MoGraph's Cloner Object and repositioned to create small clusters.

鱼在天空-任意的游动，是循环-画在进入CINEMA 4D和MoGraph之前就先克隆出来，这样创-出了小群的鱼。

Although many results have been obtained, there are still a number of very interesting questions about composition operators unsolved. There is much more to be learned about the collective compactness and convergence of composition operator sequences, compactness of various product of composition operators, cyclicity, closed range and spectra of composition operators in various settings. Commutants of composition operators seem to be very difficult to characterize. Only a little is known about their reducing invariant subspaces. There has been no work on C〓 algebras generated by composition operators.

尽管已取得如此丰富的结果，但是关于复合算子仍然有大量非常有意义的问题值得研究，例如：复合算子序列的总体紧性及收敛性、复合算子的各种乘积的紧性、复合算子的闭值域问题、复合算子在各种解析函数空间上的谱的描述、换位复合算子的刻画、复合算子诱导的不变子空间问题、循环复合算子的研究、由复合算子生成的C〓-代数的研究、不同解析函数空间之间的加权复合算子及复合算子半群等等问题。

The technologies used to solve these problem is presented. The second part proposes a new access method of recycle links of internal speed-up space switching fabrics. It eliminate the main contrariety between network performance and complexity. Combined with dilated Banyan, two types of recycled Banyan network-expanded recycle dilated Banyan and recycle dilated Banyan network are developed.

第二部分提出一种循环线接入方式，使得反馈线数目不再成为交换网络的性能/复杂度的矛盾所在；并结合线群Banyan网形成RDBN交换结构，对RDBN在均匀和非均匀业务模型下的性能进行了理论分析和计算机仿真，得出参数的选择尺寸，并提出使用窗口重整算法以保证信元序列完整性。

Order type; cyclic maximal subgroup; isomorphism

阶型； 元长；同构；循环极大子群

First, two preprocess algorithms are designed to decompose a communication request set into some continuous cyclic sequences. Then the permutation group is used to represent the ring network with fixed converters and an algorithm is proposed to classify the wavelength channels into some groups.Based on these on these ideas,a wavelength assignment algorithm is presented.For an optical ring with any fixed conversion mode,the algorithm can giv a good assignment scheme.

首先，提出了两个对环网上的请求集合预处理的算法，这两个算法可以将请求集合分解成一些连续的循环序列；然后，采用置换群来描述具有固定波长转换器的光环网，基于这种数学表示，提出了对环网上的波长信道进行分解的算法；基于这些算法，进一步提出了一个波长分配算法，该算法对于环形光网上的任意固定转换模式都能给出一个较好的波长分配方案。

Steps includes: first revise the comprehensive efficiency index of element awaiting assignment, then find out t he most allocation element of comprehensive efficiency index after revising, while appoint the assignment element appearance is shooting; as to the element awaiting assignment, which has sparking conflict with the forenamed element, appoint its appearance is fireless.

基于循环排序法的弹炮混编防空兵群火力分配优化，先对所有待分配元的综合效率指标进行修正，再找出修正后综合效率指标最大的分配元，指定该分配元状态为射击，并指定与其有转火矛盾的待分配元状态为不射击。

Steps includes: first revise the comprehensive efficiency index of element awaiting assignment, then find out the most allocation element of comprehensive efficiency index after revising, while appoint the assignment element appearance is shooting; as to the element awaiting assignment, which has sparking conflict with the forenamed element, appoint its appearance is fireless.

基于循环排序法的弹炮混编防空兵群火力分配优化，先对所有待分配元的综合效率指标进行修正，再找出修正后综合效率指标最大的分配元，指定该分配元状态为射击，并指定与其有转火矛盾的待分配元状态为不射击。

A necessary and sufficient condition is proved here for judging whetherthe ideal class group Hof a quadratic function field 〓has a cyclicsubgroup of order n for any given n.

给出了一般二次函数域的理想类群含有n阶循环子群的充分必要条件（其中〓是任意事先给定的正整数）。

The relationship between soil microbial number and organic matter, total N, available N, and available P of soil samples, and the ecological effect of soil microbial physiological community participating nitrogen cycle in this area were also discussed.

同时讨论了土壤微生物数量与土壤有机质、全N、有效N和速效P的相关性及微生物生理群在该场区氮循环中的生态作用。

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