映射

He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues.

然后，他开始与线性方程组，矩阵和高斯消去的讨论，并着手讨论向量空间，线性映射，标产品，决定因素和特征。

During the data exchanging, XML support general data describe format, used for data mapping, and give data accessing interface.

在整个数据转换过程中，XML的提供了通用的数据描述的格式和映射标准，规定了数据类型，并给出数据访问接口。

To solve this problem, the general practice is in the router to do port mapping, but it is very troublesome.

要想解决这个问题，一般的做法是在路由器上做端口映射，但是这非常麻烦。

It is a main task of General Topology to compare different spaces.

一般拓扑学的一个主要任务是不同拓扑空间类的比较，映射直接建立了不同拓扑空间类的联系，是实现该任务的重要工具。

The method of mappings and covers is a basic tool to study general topology.

映射与覆盖的方法是研究一般拓扑学的基本工具。

It is a main task of General Topology to compare different spaces.Mappings which connect different spaces are important tools to complete it.

一般拓扑学的一个主要任务是不同拓扑空间类的比较，映射直接建立了不同拓扑空间类的联系，是实现该任务的重要工具。

This model shows the mapping relation between generalized forces and generalized coordinates.

基于以上的观点，得到了适用于少自由度并联机构的静刚度模型，该模型体现了广义力和广义坐标之间的映射。

In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章，首先给出Frigon不动点定理[3]的推广及其简洁证明，同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答；然后，通过引入φ函数，在度规空间上建立集值φ-压缩映射的不动点定理，统一并推广了Cain和Nashed[1]，Figon[3]，Espinola和Kirk[4]，Tarafder[5]等的相应结果。

Basing on the transfinite mapping concepts, the present author developed a program system with an automatic mesh generator for 2-dimensional finite elements and graphical display, which is capable of generating various types of element meshs including that of 4-node, 8-node and 9-node quadrilateral elements, automatically deals with boundary conditions and load information, so that it is convenient to apply finite elament method to practical engineering problems.

利用超限映射理论，建立了一个二维有限元网格自动生成和图形显示为一体的程序系统。该系统能生成多种类型的单元（4节点、8节点、9节点），自动处理边界条件和荷载信息，使有限元法能方便地运用于实际问题。

Material flow design consists of generating task space and mapping function of resource from task space to access platform.

其组织物质流设计包括：任务空间的产生和任务空间到平台资源通过功能映射。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。