结构群

Although theoretically available for a limited group has been completely resolved structure, but in certain types of college textbooks has not within abelian group table.

虽然从理论上已经完全解决了有限可换群结构，但在各类本科教材中却未见一定范围内可换群表，本文拟通过计算给出200阶以内所有可换群的类型列表。

For anelliptic curve E over a number field K,the set of K-rational points of it forma group Evia a special kind of"addition".This group is a finitely gener-ated abelian group,and is named Mordell-Weil group of E/K.

数域K上的椭圆曲线E的K-有理点全体，通过特别的"加法"构成一个群E，这是一个有限生成的阿贝尔群，称为莫代尔-威伊（Mordell-Weil）群，其结构是椭圆曲线研究的中心课题。

In the study of representations of finite group, lots of evidence suggested that there is a great relationship between the structure of conjugacy classes and the character degrees of finite group.

在群表示论的研究中，大量事实说明群的共轭类结构与群的特征标数量性质间存在着密切的关系。

Qualitative analysis is used to analyze the performance of the central satellite type Industrial Cluster Structure by classifying the clusters according to their difference behaviors, from micro point of industrial cluster view.

本文从中卫型集群内企业的行为分析出发，通过集群内企业采取的不同行为时集群结构进行分类，从微观角度对其运行绩效进行了定性分析。

This dissertation puts forward a structuring method of some complicated problems as well as methods of combination of the judgment matrix on group decision basis demonstrates that these two ways strengthen the consistency of the judgment matrix. Besides, it makes some researches into theory of combination of judgment matrix on the group decision basis, suggests two methods of calculating the coefficient of the convex combination and puts forward a method to construct individual and comprehensive judgment matrix based on rough-set by cooperating with others accordingly.

5给出了群决策条件下复杂问题结构化方法；提出了群决策条件下群体AHP判断矩阵集结的两种方法，证明了这两种集结方法保持或改善了判断矩阵的一致性；研究了群决策条件下判断矩阵优化集结原理，给出了判断矩阵两种凸组合系数优化计算方法；合作提出了一个基于Rough Set的个体判断矩阵和综合判断矩阵构造方法。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

The dichromatic space groups of C2/c have been derived.

推导了与C2/c空间群有关的有色空间群，研究了聚丙烯分子链在它们中的排布，得出其中5种是聚丙烯α晶晶体结构可能存在的空间群；2。

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

The comparison of the predominant bacterial community structure in the gastrointestinal walls between Lutjanus sebae (Cuvier, 1816) and Ephippus orbis (Bloch, 1787) based on 16S rDNA PCR-DGGE fingerprint using a culture-independent method was conducted in the paper. The results showed that abundant bacterium were planted in the gastrointestinal walls of both marine finfish species, the similarity was above 50% in the community structures in the gastrointestinal walls with the highest similarity of 67% in the bacterial composition between the intestinal wall of Luljonus sebae and that of Ephippus orbis, and the walls of the stomach and the intestinal in one fish shared the same most predominant bacteria species, which might reflect the same aquaculture environment and the diet fed for both finfish species.

本文采用免培养的16S rDNA梯度凝胶电泳技术对集约化海水网箱养殖川纹笛鲷Lutjanus sebae、及圆白鲳Ephippus orbis消化道壁优势菌群结构进行了比较分析研究结果显示川纹笛鲷及圆白鲳消化道壁存在着大量细菌群落，对DGGE指纹图谱聚类分析表明两种鱼肠道壁及胃壁菌群组成相似度高于50%，其中二者肠道壁细菌组成相似性最高(67%)，这些可能与两种鱼养殖在同一水域、摄食相同饵料相关，另外通过软件对DGGE指纹带谱相对丰度分析表明同种鱼肠道壁及胃壁具有相同最大优势菌群。

Iv With grazing-height increased and the utilization period deferred, the regrowth-height of needle grass increases accordingly, and reaches the highest height to 17cm.

各草地类型相对日生长量与草群组合或结构有关，草群组合或结构越简单，草地相对生长量延续的时间越短，反之越长。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。