在讨论中

The notion of - resolvent operator of set-valued mappings is introduced.

利用η-预解算子在有限维空间中探讨了集值混合拟类变分不等式问题和广义集值变分包含问题存在唯一解的条件；利用分析的方法在实Hilbert空间中讨论了集值混合拟类变分不等式问题解集的非空性。

The discussion of the fourth kind of quadratic equation , the use of "rule of three", the calculation of number r and some terms Algebra can be found in Indian classics introduced to Arab and some of these mathematical knowledge maybe comes from China (such as "rule of three").

花拉子米对第四种二次方程的讨论，使用的"三率法"，对圆周率的计算以及某些术语可以在早期传入阿拉伯的印度典籍中找到出处，而在这些数学知识中有一些可能是远源于中国的。

In Chapter 4,the site-symmetry projector is constructed to produce thecomplete symmetry-adapted orbitals.Based on this,we deduce the energy equationcontaining all the interactions of〓orbitals,the H〓ckel model secular equation,andthe energy expression containing the second neighbor hopping.Also we discuss theeffect of the second neighbor hopping on the electronic structures and properties offullerenes.

第四章阐述与位置对称性有关的投影算子的构造及其在处理富勒烯的π电子结构中的应用，导出了π轨道的所有相互作用都包括在内的能量本征方程，一极近似下的久期方程，和二级近似（考虑π轨道的次邻接相互作用）下的能量表达式，并且一般性地讨论了次邻接相互作用在富勒烯的电子结构和性质中的作用。

In this dissertation,the related study results of systematology,informatics and synergy are described comprehensively.The application of system principle on management activities,the important function of information and Collaborative on management activities are discussed.

论文综合论述了系统论、信息论和协同论等相关研究成果，讨论了系统原理在管理活动中的应用、信息和协同在管理活动中的重要作用。

there are short-term trade and long-term trade between supplier and buyer in the outsourcing. in this paper, the theory of repeated games is employed to discuss the quality for supplier and buyer under the different circumstances and the game model is set up.

在业务外包中，购买商和供应商有短期交易和长期合作，本文利用博弈论中的重复博弈理论，建立了博弈模型，并且在不同条件下讨论了购买商和供应商基于产品质量的有限次与无限次重复博弈。

This papers is divided into six chapters and seeks to combine heritage buildings and the concept of modern information. The author make a preliminary analysis and research about historical information constitution of heritage buildings. On this basis, we strive to present a new vision to examine and discuss about the conservation of heritage buildings. Throughout the course of the study and exposition, we make Chinese ancient buildings of timbered structure as its main target, and combine with many examples about ancient buildings of timbered structure in Shanxi Province. In this papers, the author combine the abstract information with the concrete buildings closely, and hope to provide a new way of thinking for the study of heritage buildings through this way.

本论文共分为六章，旨在将文物建筑和现代信息概念相结合，并对文物建筑历史信息的构成进行初步的分析与研究，在此基础上，力求以一个新的视角对我们当前的文物保护工作进行审视和讨论，在整个论述与研究过程中，我们以文物建筑中的中国古代木构建筑为主要研究对象，并结合了大量独具价值的山西省古代木构建筑实例，把抽象的信息和具象的建筑紧密结合，希望能通过这一途径为文物建筑的研究、保护等工作提供一个新的思路，以达到抛砖引玉的效果。

The concept of "tonality" of Ligeti is further discussed based on the preceding analysis and conclusions.

在第一章中，主要是对利盖蒂作品中常用的和音结构类型，音列类型的归纳，以及作品中和音进行的特点，和音列处理技术的分析，并在此基础上对利盖蒂的调性观念进行了讨论。

After analyzing the merit and lack of 9I model, the main idea is proposed: to distill some basic topological relations from 9I model, of which the composite topological relations of complex objects are made up. In detail, the composite topological relationships between region and region, line and line, line and region are particularly discussed;(2)Analyze the characteristics and inner relations of cadastral features. According to the expressional model of complex topological relations, the author discovers the possible topological relations between parcels, parcel lines and parcel points. In addition, sum up the general topological relationship rules of cadastral data.(3) Then the topological relations model is extended to the spatio-temporal data. Time in cadastral database and change semantic are discussed. It's redefined that spatio-temporal topological relations is composed of time, location, status and event relation. Spatio-temporal topological relationships can be represented by extended 4I model. Taking cadastral parcels as example, there are different possible spatio-temporal topological relationships between parcels when they are extended, shrunken, split, merged or others. Thus, some deductions are drawn that, for example, if parcels have be coexisting for some time they are impossible to be overlapped. Furthermore, the parents of parcels alternated and their possible change types can be detected by their spatio-temporal topological relationships.(4) Before carrying out the experiment, the calculation method must be designed.

具体研究工作及成果如下：（1）根据点集拓扑理论中与拓扑空间相关的概念，本文对空间的点、线、面进行了重新定义，以区分对象的复杂性；分析了9I模型在表示简单对象方面的优点，以及在表达复杂对象上的不足，阐述了本文的研究思路和解决方案，并以复杂的面面、线线和线面为例详细探讨了复合拓扑关系的表达方法；（2）分析了地籍权属数据和地类数据的内涵、特点和要素之间的联系，根据复杂对象的拓扑关系表达模型，本文讨论了宗地、界址线、界址点之间，图斑、线状地物、零星地类之间可能存在的拓扑关系和形式化表达方法，归纳总结了地籍对象的拓扑关系满足的约束性规则；（3）将拓扑关系的研究延伸到时空领域，从地籍对象的时态性出发，本文阐述了地籍数据中时间的含义和变化语义描述的需要；从时间、位置、状态、事件等之间的拓扑关系方面，重新系统性地进行了时空拓扑关系的定义；研究了一维时间和二维空间的集成表达方式，以宗地、界址线为例，分析了变更前后不同时间区间里可能的拓扑关系，探讨了时空拓扑关系对时空变化操作类型和变化语义的推理方法和意义；（4）为实现空间拓扑关系的查询分析等应用，本文研究了空间拓扑关系的计算方法。

In Chapter 3, we focus on discussing the magnetic field in the Darwin model in 2-D unbounded domains.

在第三章中，我们重点讨论了达尔文模型中磁场在二维无界区域的解的情况。

But with the change of circumstances, the uncertainness of investment projects increases and these traditional decision approaches are challenged.

在第一章中，本文讨论在风险中性世界中的投资项目决策实物期权的价值评估问题，并假设投资项目的未来收益变化率S t服从如下的几何布朗运动：其中r为无风险利率，此时等于银行利率，σ为投资项目未来收益的波动率，随机过程Wt是上的几何布朗运动。

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。