群

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。

The distribution of the qualitative characters The performance of the 39 chief qualitative characters were observed and recorded,according to the test method of morphological characters in the .The results of distribution proportion of each character in cultivars group showed that the distribution of 32 characters(number of ray flower rings,floret curliness,shape of leaf base,size of stipule and so on) were very asymmetrical with near or above 70%cultivars concentrated upon one or two performance, however,the distribution of the other 7 characters(floret type,surface color of outer floret,back color of outer floret,color of disc floret,claw in base of sinus between lateral lobes,stem erectness and stem color) in the cultivars group were relatively symmetrical.

质量性状分布参照《菊花DUS测试指南》的形态性状测试方法，观察记录大菊39个主要质量性状的表现，计算各性状的表现式样在品种群内的分布比例，结果显示舌状花的重瓣性、花瓣曲反状况、叶片基部性状、托叶大小等32个性状的表现式样在品种群内分布极不均匀，接近或超过70%的品种集中在性状的1种或2种表现式样中；而花瓣形状、外花瓣表面色、外花瓣背面色、花中心部颜色、叶裂刻基部有无突起、茎的曲直性和茎色等7个性状的表现式样在品种群内的分布则相对均匀。4。

This article proves that a finite cyclic group can be isomorphically represented by direct product of some cyclic groups.

摘要本文运用基础代数中有关循环群、直积、同构等理论，证明了一个循环群可以用另一组循环群的直积形式来同构表示。

The cyclic group of order 3, above, and {1,-1} under ordinary multiplication, also above, are both examples of abelian groups, and inspection of the symmetry of their Cayley tables verifies this.

上述的 3 阶的循环群和{1，-1}在普通乘法下的群都是阿贝尔群，可以通过检查其凯莱表的对称性来验证。

This paper discusses the relation beween order classification and isomorphic classification , gives some important characteristic properties of a cyclic group with order n and a important property of a p-group with finite order, introduces two factorization method of direct product for commutative p-group with finite order, presents some new problems.

讨论了阶分类与同构分类的关系，给出了n阶循环群的几个重要的特征性质和有限p-群的一个重要性质，介绍了有限交换p-群直积分解的两种方法，提出了一些新的问题。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

In this paper we define distribution cosine functions covering the degenerate case. We also consider the degenerate distribution function generated by a multi valued operator A, its relation to the integrated cosine function and the wellposedness of the degenerate abstract Cauchy problem.

引 言分布半群的概念最早由 L ions在 6 0年代引入，近年来，其他类型的分布半群相继被定义和讨论[1— 4]，由于研究退化线性方程的需要，多值算子对应的 Cauchy问题也开始受到人们关注，在 [2 ，4]中有退化情形的分布半群的定义及研究。

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。

Based on the intelligentized algorithms and Matlab,simulation regarding optimization of benzene-toluene flash vaporization process is made. The simulation result shows that the amount of benzene in vapor phase product reaches the maximum on the condition of effective adjustment of temperature,pressure and diffluence coefficient and the production process is optimized.

对基本蚁群算法进行了智能化改进，并运用智能蚁群算法和Matlab语言，对化工生产过程中的实际优化问题，苯-甲苯闪蒸过程进行了优化仿真计算，仿真结果表明，在有效地调整温度、压力及分流系数的条件下，使得汽相产物中苯的产量达到最大，实现了苯-甲苯闪蒸过程的最优化，同时也证明了蚁群算法可以有效地解决化工生产过程中的优化问题。

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