环

Four triatomic heterocyclic compounds, cyclopropane, oxacyclopropane, ethyleneimine and thiirane were fully optimized utilizing Gaussian94 program package with a density functional theory method B3LYP and an ab initio method MP2 at 6-311++G** level, and the theoretical results agrees well with the reference data, which shows that this method is reliable.

程学礼 ，赵燕云使用Gaussian94程序包和密度泛函方法B3LYP以及从头算方法MP2在B3LYP/6-311++G**基组水平上，对4种三元杂环化合物环丙烷、环氧乙烷、环乙亚胺和硫杂环丙烷进行了全优化，其理论数据和文献数据符合得很好，这表明该方法是可靠的。

hydantoin was synthesized from diethyl malonate comprising condensation with 1, 2-dichloroethane, ammonolysis to diamide, Hoffmann degradation to give 5-cyclopropanespirohydantoin, and ring-opening with 40% hydrobromic acid.

以丙二酸二乙酯为原料，先与1， 2-二氯乙烷缩合生成1， 1-环丙烷二羧酸二乙酯，再经氨解生成1， 1-环丙烷二甲酰胺，然后在次氯酸钙溶液中进行Hoffmann降解成环生成5-环丙螺海因，最后在40%氢溴酸中开环得到5-溴乙基海因。

Finally, it is proved that any semimodule over complemented semirings must have a ζ_s-injective hull and the complemented semiring must be the rPP semiring and the endomorphism semiring of every principal right ideal is still complemented semiring.

最后指出任一可补半环上的半模必存在内射包络、可补半环必是rPP半环且对于可补半环的任一主右理想的自同态集仍是可补半环。

The third chapter introduces the notion of inductive *-semirings and weak inductive *-semirings. We give some basic properties of them and discuss the formal power series semirings.

第三章以归纳*-半环为重点，介绍了归纳*-半环及弱归纳*-半环的概念及基本性质，并讨论了归纳*-半环的形式幂级数半环。

The method includes identifying (101) a surface in the image, and for each point in the image, calculating (102) a first curvature measure, forming (103) a set of rings of points about each point, each ring being of equal geodesic distance from a center point for the ring, calculating (104), for each ring, a standard deviation of the first curvature measure, and selecting (105) those rings with a minimum standard deviation for the first curvature measure.

该方法包括在所述图像中识别(101)表面；为该表面中的每个点计算(102)第一曲率量；为该表面中的每个点形成(103)围绕每个点的一组点环，每个环具有到该环的中心点的相等的测地距；为每个环计算(104)第一曲率量的标准偏差；以及选择(105)那些具有第一曲率量的最小标准偏差的环。

So in chapter 2, we use P-flat and P-injective modules to characterize some important rings, like SF-rings, Von Neumann regular rings and Coherent rings, etc. In chapter 3, we introduce the homological dimension of P-flat and P-injective modules.

众所周知，正是由于研究各类模以及它们的同调维数，人们才能对环得到更深层次的性质的描述，所以在第二章中，我们就利用了P-平坦模与P-内射模来刻划几种重要的环，如SF环、Von Neumann正则环、凝聚环等。

The chapter 1 introduces the background of imidazole, thiazole, tetrazole derivatives and their glycosides, and organic solid phase research.

论文第一章介绍了咪唑环、噻唑环、四氮唑环等杂环的合成，总结了糖苷的合成方法，对杂环的固相合成化学进行了简单介绍。

Firstly, the connection matrices are strongly connected Boolean matrix, it is shown that the maximum length of limit cycles for FBAM is the period index of the product of the connection matrices. Thus, the maximum limit cycle is reachable. Secondly, two strongly connected components are connected by walks, it is proved that the maximum length of limit cycles for FBAM is the max. of the period index of the two strongly connected components if they are prime, otherwise, it is the least common multiple of the two period index. Finally, n strongly connected component are connected in succession, the method for computing the maximum length is described. By different patterns are presented to the networks, diminishing the number of the strongly connected components until only two components.

第一，连接权矩阵为强连通布尔矩阵，此时模糊双向联想记忆网络的最大极限环长度为连接权矩阵乘积的周期指数，从而极限环具有可达性；第二，两个强连通分支有路径连接，此时如果两个强连通分支的周期指数互素，那么网络的最大极限环长度为其最大者，否则，网络的最大极限环长度就等于二者的最小公倍数；第三，n个相邻强连通分支有路径连接，给出了计算最大极限环长度的方法，通过激发模式的变化，逐渐减少强连通分支的个数，直到只有两个分支。

In the sense of cutset, the relation between the rough set of a cutset and the cutset of a rough set, a fuzzy rough set of a fuzzy primary ideal in a semigroup is proved to be its fuzzy primary ideal. The sixed chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in rings, the corresponding results of a semigroup are generalized in a ring. The last chapter is Rough-fuzzy Subsemirings in Semirings, First, the lower and upper rough-fuzzy semirings together with the left and the right ideal are defined.

利用截集意义下，截集的粗糙集与粗糙集截集的关系，证明了在完备同余关系下半群中的模糊准素理想的粗糙集是模糊准素理想；第六章是环中粗准素理想和粗模糊准素理想，将半群中的相(来源：A70BC论文网www.abclunwen.com)应结果推广到环中；第七章是半环中的粗模糊子半环，首先，给出上粗模糊子半环及上粗模糊理想等概念，并研究了它们的性质。

Results Preoperative MRI classification indicated: intact annuals in 82 levels, annuals tear with intact PLL in 123 levels, PLL tear in 70 level, free protruded mass under PLL in 48 levels; on the other hands, the amount of annuals tear and free protruded mass under PLL introoperative observation were more than that preoperative MRI indicated: intact annuals in 38 levels, annuals tear with intact PLL in 165 levels, PLL tear in 62 level, free protruded mass under PLL in 63 levels; dural sac penetration in 2 levels.

结果： MRI术前分型：纤维环完整者81个椎间隙、纤维环破裂后纵韧带完整者123个椎间隙、后纵韧带破裂者70个椎间隙、髓核后纵韧带后方游离者48个椎间隙。手术发现纤维环破裂数量以及后纵韧带后方游离髓核片数量明显高于MRI的提示：纤维环完整型38个椎间隙、纤维环破裂后纵韧带完整165个椎间隙、后纵韧带破裂髓核疝62个椎间隙、后纵韧带后方游离髓核63个椎间隙、硬膜囊下疝2个椎间隙。

Shop assistant: Please check at the door.

店员：请您到门口柜台交费。

In the end, transportation of PAHs in the environmental matrix was preliminarily investigated and discussed according to PAHs data of soils and sediments from a certain region in Shanghai. The result indicated that there are two or more pathways on PAHs transportation in the environmental matrix.

最后，对上海特定地区内PAHs在环境介质中的迁移径途进行了分析讨论，结果表明上海市土壤和沉积物等环境介质中PAHs的迁移存在多种途径。