归纳定义

To get this one result, undertook inducing to the matrix of certain and special form, offerred new definition, undertook analytic a proof to their property.

为得到这一结果，对某些非凡形式的矩阵进行了归纳，提出了新的定义，并对它们的性质进行了分析证实。

In chapter 3, the paper proposed a new kind of preference relation, i.e. distance preference relation; followed this, a scale was introduced for constructing antisymmetric matrix, and consistency of the matrix was defined, three methods for computing priority vector were studied; At the end, two examples were used to demonstrate the application of the new method,and they showed that the introduction of antisymmetric matrix to AHP is effective and valuable.

本文首先对Saaty AHP的几种常见标度进行了比较分析，然后对正互反判断矩阵及模糊互补判断矩阵的权重计算方法进行了归纳和总结；最后，本文提出了一种新的偏好关系，即基于"差"的偏好关系，从而将反对称矩阵引入层次分析法，接着对新型偏好关系下判断矩阵的构造、一致性的定义与性质以及权重的计算方法做了初步的研究，最后用算例说明了新方法的应用，并做了相应的比较分析，结果表明采用基于"差"的偏好关系构造反对称矩阵拓展了AHP的应用范围，有一定的理论和应用价值。

It also gives the definitions and stochastic properties of pure random process, random walk process and AR(1) autoregressive process, and analyses the simulative data of three typical random processes using wavelet analysis, frequency spectrum analysis and time-correlation analysis. The stochastic properties of time series and the trend component, the time length of time-correlation and the properties of main frequency of these three typical random processes are summarized as the templates for further research.

给出了包括纯随机过程、随机游走过程和 AR(1)自回归过程等在内的基本随机过程的定义和统计特征，并运用小波分析，时间相关和频谱分析对这三种基本随机过程的模拟数据进行分析，归纳出它们在时序上的随机特征、低频信号趋势项特征、时间相关的长短以及主频信号的位置等特点，作为研究 GPS 接收机误差和多路径效应的随机特征的模板。

The article tries to trading charge definition undertakes classified, arrange and study quite, baconian its property.

本文试图对交易费用定义进行分类、整理和比较研究，并归纳其性质。

On the basis of constructing normalization vector space with single d irection, defined and induced six TOPSIS functions, proved that these six functi ons are valuation functions.

在构建单向规范化向量空间的基础上，定义并归纳了6种TOP SIS函数，证明了这6种函数都是价值函数。

At last,the author lists some relevant regulations in civil law and commercial law according to the definition of the two meanings of Bona fides and mala fides .

最后，本文按两种意义的善、恶意定义对民商法上的有关制度做了归纳总结。

The paper is to be divided into five sections:The paper starts off in the first section with an introduction of the study of comparative linguistics, emphasizing the status qua of comparative researches on complex sentences, which, later find specific definitions from the points of traditional and functional studies of grammar. The writing purpose and the arrangement of contents are also attached in this part.

全文共分五个部分：本文第一部分介绍了比较语言学，尤其是复合句的比较研究的现状以及存在的问题，介绍了传统语法和功能语法对复合句是如何描述和定义的，并简要归纳了本文的写作目的和内容的基本构成。

In the first part of this paper, we gave several different definition of convex functions and equivalent proposition.

本文首先归纳总结了凸函数的几个不同的定义，并说明其等价性。

Physics concepts, theorems as well as principles are primary content of physics learning, those knowledge take on the forms by proposition . In chapter 3, the study revealed that physics proposition are mainly obtained by reasoning (inductive reasoning such as tallying method, differentiation method and covariant method, deductive reasoning such as negative expression of hypothetical inference, affirmative expression of hypothetical inference ).Then by the means of experiment, the different condition needed when applying those reasoning was explored.

由于定义性概念、定理和定律等命题知识是物理教学的主要内容，所以在第三章中首先通过研究，表明物理命题主要是运用推理策略获得的(归纳推理策略中的求同策略、差异策略和共变策略，演绎推理策略)；然后通过实验等方法研究使用策略需要的条件；最后依据前面的研究提出适合物理命题学习的任务分析方法。

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 the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。