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In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

An integral operator I(subscript n+p) defined by Hadamard product is introduced. Making use of this operator, the subclass S(superscript * subscript n+p) of p(superscript -) valent analytic function is defined in the open unit disk, the inclusion relation of S(superscript * subscript n+p+1)S(superscript * subscript n+p) and the best dominant function of differential subordination q1 are obtained. Furthermore, some conclusions are made according to the special parameters A and B.

用Hadamard卷积定义线性算子I，并利用算子I定义在单位圆内的解析的p叶函数类S(上标*下标 n+p)，给出了此函数类的包含关系S(上标*下标 n+p+1)S和微分从属的最佳控制函数q1，并根据参数A，B取不同的特殊值得出了相应的推论。

In this dissertation, the concept of plate-cone reticulated shell is put forward inductively and the development history of this kind of structures is reviewed.

本文归纳提出板锥网壳结构的概念并系统回顾了这类结构的发展历程；根据板锥网壳结构的构成特点，给出了这类结构的可能形式，并对其进行分类，探讨了板锥网壳结构的成形技术及选型原则。

use KRUSKAL margination array of GE s minimum spanning tree, each side of a tree stored in an array in C and category adjacency matrix is given the realization of the final major of the adjacency matrix to test the operation and output results.

利用KRUSKAL方法求边集数组的GE的最小生成树，树中每条边一次存于数组C中并给出了邻接矩阵类的实现，最后对邻接矩阵类主要操作进行测试，并输出运行结果。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

The methodology classified the objects of module partition to improve the flexibility and maneuverability. In addition, the methodology focused on research of module partition method, which faced the category of "modular transformation of the existing products ". The methods commendably meet the current needs of enterprises and have strong practical significance. In the end, presented the corresponding mathematical methods.

针对两类方法的优缺点，提出了一种柔性化模块划分方法，该方法突出了模块划分的对象分类，在提高划分方法柔性的同时，也更具可操作性；并着重研究分析了"面向已有产品模块化改造"范畴的模块划分分组方法，并明确了相应的谱系聚类数学方法，该方法较强地适应了当前企业的设计需求，具有较强的实践意义。

First, a series of liquid crystal polymers with different amounts of cholesterol mesogens and ferroelectric property are synthesized in this research. The structures of the compound synthesized are confirmed by IR and 1H-NMR spectroscopy. The thermal properties are characterized by DSC, POM. In this research, the 3-D molecular arrangement of molecular were measured by Polarization Modulation-Attenuated Total Reflection-Flourier Transform Infrared spectroscopy (PM-ATR-FTIR).

中文摘要本研究分成两个部分，第一部分为合成铁电性液晶及胆固醇液晶，以FTIR及 1H-NMR来鉴定化合物的结构，并以POM观察其液晶特有的光学纹路，用DSC来观察矽氧烷类液晶的液晶相的热转移温度并利用偏光-衰减全反射-傅立叶转换红外线光谱仪(Polarization Modulation-Attenuated Total Reflection – Flourier Transform Infrared)来探讨矽氧烷类液晶分子的三度空间排列。

Through obtaining anonymous users' browsing path set, on the basis of the new definition of path similarity, building the users' browsing path similarity matrix, and based on this, designing anonymous users' browsing path clustering algorithm to obtain the clustering result set and calculate various cluster centers, the typical anonymous users' browsing path was got.

通过获取的匿名用户浏览路径集，依据新的路径相似度定义，建立用户浏览路径相似度矩阵，并在此基础上设计实现了匿名用户浏览路径聚类算法，获得聚类结果集，并计算各类的中心，得到典型匿名用户路径。

Those may be the structure for pyrenoid photosynthesis. The starch sheath embedded the pyrenoid. The pyrenoid could be divided into three types according to their structure.

并观察到蛋白核与叶绿体基质有多处联系，蛋白核内的类囊体发生膨大，并在莱茵藻蛋白核中观察到有数个类囊体堆积，这些细微结构功能还不清楚，可能与蛋白核行使光合功能有关。

We also found for the first time that the reaction between ketone and alcohol to ketal was catalyzed by benzamide and their derivatives, and the related mechanism is proposed. Furthermore, under the same irradiation condition, the photo-reaction of succimide with alcohol as well as the photolysis of benzene sulfonamide was also found and studied.

并首次发现在紫外光激发下，苯甲酰胺对酮和醇生成缩酮的反应有一定的催化作用，进而对一系列芳酰胺类化合物作了对比实验，发现芳酰胺类化合物均能对缩酮的生成有催化作用，并对芳酰胺的作用机理进行了初步探讨。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。