四维的

In the four section, from the interpolationdimension of an algebraic curve and an algebraic surface,using theoryand method of algebraic geometry, we get some interpolation of analgebraic curve and an algebraic surface, and we prove the reasonableof the interpolation dimension of an algebraic curve and an algebraicsurface.

第四章我们从沿代数曲线曲面空间的插值维数出发，利用代数几何理论与方法，给出了代数曲线曲面上的基本插值结构，并证明了我们长期应用的其上的插值维数公式的合理性。

In chapter 4, an optimization Boolean operator of triangular mesh and the algorithm of adding point-swapping edge locally are put forward. With boundary traced by adding midpoint, the triangulation of 2D arbitrary domain is realized. The fast searching method which combines the index rectangle with compass based normal vector is designed to speed the triangulation algorithm.

第四章提出了一种优化的三角网格布尔运算和逐点加入—局部换边法，用中点加点法恢复边界，实现了二维任意域Delaunay三角化算法，用索引矩形和基于法矢的指南针法相结合的快速查询法有效地提高了三角化算法的速度，给出了二维任意域三角网格剖分的实例。

The error source of CMM is complex, and the current main research is its geometric error. In the paper, 21 items of geometric error are measured accurately, simply and fast with the 2-D laser interferometer and four quadrants photo detector. The measurement gets rid of measuring so many lines and several diagonal lines in linear displacement method, and also solves the question that error measure of large-scale CMM can not be measured with 1-D ball array and ball plate conveniently.

坐标测量机的误差源纷繁复杂，当前主要研究的是其几何误差，课题中研究了一种采用二维激光干涉仪和四象限光电探测器相结合的测量方法，对三坐标测量机的21项几何误差进行了准确、简便、快速的测量，摆脱了线位移法测量直线过多且包含多条对角线测量的弊端，同时也解决了一维球列和球板不方便检测的大型测量机的误差检测问题。

At first, it analyses the visibility processing of complex scene, including: spatial partition technology BSP, quadtree, octree and equational octree which can optimize scene, category of quick visibility estimation algorithm in the 3D scene, portal which can accelerate rendering, level of detail and mesh simplification based on quadric error metrics used to simply models in 3D scene.

首先分析了复杂场景的可视化处理，包括优化场景渲染的空间剖分技术：BSP树、四叉树、八叉树、均分八叉树；其次是三维场景快速可见性判断算法的分类，可加速渲染的入口技术；最后是用于三维场景中模型简化的两个算法：层次细节模型简化技术和基于视点的二次误差度量网格简化。

In Chapter 4, eight two- and three-dimensional non-interpenetrating open-networks having diverse sizes and shapes have been constructed with a potential tetradendate ligand hexamethylenetetramine and characterized by X-ray single-crystal structural analysis.

第四章描述了包括第一例由 m 4-hmt 配体形成的二维网络结构（配合物20）在内的八种具有各种形状的孔穴或通道的二、三维非穿插网络配合物的构筑与晶体结构。

A deadlock free plane self-adapting routing method in a two-dimensional torus network belongs to the distributing high performance fault tolerance computing technology field, characterized in that each physical passage between nodes are divided into two virtual passages which are both two-way passages and distributed to four virtual sub network of the two-dimensional torus network; the virtual passage distribution strategy avoids the deadlock formed among the sub networks and between the sub networks and has greater self-adapting.

二维torus网络无死锁的自适应路由方法属于分布式高性能容错计算技术领域，其特征在于，把节点之间的每条物理通道被划分为两条虚拟通道，这两条通道均为两向通道，并分配到二维torus网络的四个虚拟子网中，利用虚拟通道分配策略避免了各子网内以及各子网间可能形成的死锁，同时达到更高的自适应性。

We can say , it is exactly success of designing program because of the trinary cublic interpolator technology, just really realize the three-dimension reconstruction technology, comparatively demonstrate three-dimensional information perfectly and trully. The fourth part systematic design and course of realizing, content include programming language platform that system's designing spend, face the choice of program language, list some functions of class and combine brief illustration.

可以说，正是由于三三次插值技术程序设计的成功，才真正实现了三维重建技术，较为完美和真实地显示出三维信息；第四部分是系统的设计与实现过程，内容包括系统设计所用的程序设计语言平台，面向对象语言的选择，列出一些类的函数并简要说明。

We can say , it is exactly success of designing program because of the trinary cublic interpolator technology, just really realize the three-dimension reconstruction technology, comparatively demonstrate three-dimensional information perfectly and trully. The fourth part systematic design and course of realizing, content include programming language platform that systems designing spend, face the choice of program language, list some functions of class and combine brief illustration.

可以说，正是由于三三次插值技术程序设计的成功，才真正实现了三维重建技术，较为完美和真实地显示出三维信息；第四部分是系统的设计与实现过程，内容包括系统设计所用的程序设计语言平台，面向对象语言的选择，列出一些类的函数并简要说明。

In order to analyze the stiffness of 3D 4 directional braided composites, the homogenization theory based on the multi-scale perturbation theory was used as the basic theory. The virtual displacement principle was used to educe the homogenization formulation of effective elastic modulus and the schemes to solve the problem using finite element method. The effective elastic modulus of 3D braided composites were predicted by this method and the calculation results agree quite well with experiment results.

在对三维编织复合材料刚度性能的分析过程中，以基于小参数渐近展开和多尺度摄动方法的均匀化理论为理论基础，用虚位移原理导出了等效弹性模量的均匀化列式及其有限元求解方程，从而通过细观和宏观有限元的数值分析方法预测了三维四向编织复合材料的等效弹性模量，预测结果与实验结果较为吻合。

Through the helminthes examination, according to the numerical Analysis, we get the detail parameters of the four-asphalt-mixed viscous elasticity. Through the mixed asphalt"s temperature-time effect, we get four materials" viscous elasticity in different temperature.

通过室内蠕变试验，运用数值分析手段得到了四种沥青混合料的一维粘弹性本构模型的具体参数，利用沥青混合料的温度时间效应的得出了不同温度四种材料的粘弹性本构模型参数。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。