三角

Topology information of network structure was also ohtained through converting an incidence matrix into standard triangular matrix.

网络关联矩阵经过矩阵变换形成三角矩阵，可以反映网络拓扑结构；对三角矩阵进行分级和分解运算，可以提取网络的拓扑信息。

The overcutting on tool end is checked via comparing the tool radius with the circumradius or the radius of inscribed circle, and the touch interference of tool body based on the symbol of the vector distance from the triangle vertex to the tangent plane of tool body column.

在曲面加工的无干涉路径规划中，通过恰当选择刀具初始位置避免了接触点处的曲率干涉；通过比较刀具半径与曲面上三角片外接园半径的大小即可判断刀具底面干涉；而根据三角片顶点与刀杆切平面的有向距离的正负来判断刀杆碰撞干涉。

At last, a scheme of Huzhou's construction in the intercity rail network is discussed.

这对实现"长三角"地区中部崛起，推进"长三角"地区协调发展和一体化进程具有全局性的意义。

A fast algorithm for simple polygon triangulation is presented. Its thought is based on the dynamic judgment of interior angle. If the angle of point is smaller than 180 degree and includes no other points, then the point is connected into triangle. The data structure that enhances the efficiency of the algorithm is designed.

提出了一种内角动态判定的简单多边形三角剖分算法，该算法的思想是对多边形相邻三角点构成的内角进行动态判断，如果小于180度且组成的三角形是否包含其它点，则连成三角形，并设计了有利于算法快速实现的数据结构。

In the final section, we give the form of surjective isometric Jordan isomorphisms on triangular Banach algebras, and prove that such isomorphisms .

第四节给出了三角Banach代数上满等距Jordan同构的一般形式，并证明了一些特殊的三角Banach代数上满等距Jordan同构的酉空间实现性。

Parameterizing a 3D mesh means finding an isomorphic mapping between a discrete surface patch and a planar mesh.

三角网格的参数化是指从空间三角网格到参数区域的一个同构映射，参数区域的选择可以是平面区域、球面等。

In the part four, part five and part six of this dissertation, we mainly discuss the problem of linearization.

本文在讨论三角系统反馈线性化条件的同时，也给出了三角系统具体线性化实现的方法。

Because of the condition of 〓 for two neighbour parametricspline surfaces is too strong,here,instead of it,some simple and practicableconditions of 〓 resulted from the general theorem obtained by Prof.LiuDing Yuan in Chapter 1 were proved,and three 〓 triangular splinesurfaces schemes wre presented:one is piecewise cubic spline surface patcheshaving local 〓 and whole 〓 continuity based on the refined HCTtriangulation,another is the same degree spline surface patches but based onthe refined Powell-Sabin triangulation,the third is piecewise quartic splinesurface patches having local 〓 and whole 〓 continuity based on therefined P-S triangulation.

由于对参数曲面，一阶导数连续的要求较强，我们采用第一章从刘鼎元定理导出的简单实用的几何连续条件，讨论了基于HCT加细三角剖分和P-S加细三角剖分上的两种局部达一阶导数连续而整体有一阶几何连续的分片三次样条曲面构造算法，一种局部达二阶导数连续整体有一阶几何连续的分片四次样条曲面构造方法。

A substance is through the primary transformation into an upper triangular matrix, the transformation matrix is a unit lower triangular matrix.

实质上是将A通过初等行变换变成一个上三角矩阵，其变换矩阵就是一个单位下三角矩阵。

By means of similarity transformation upon the state matrix, an upper triangular matrix or lower triangular matrix is found. The eigenvalues of the original system can be obtained through a series of low-dimension matrixes over the principal diagonal.

该方法对系统状态矩阵进行相似变换，得到分块上三角或下三角矩阵，使原系统特征值可以通过主对角线上一系列相互独立的低维矩阵求得。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐