第三维

The ann-injective rings start at the angle of annihilator,at the same time,the CT-injective rings start at the angle of cycle tortionless modules.

在第三章，我们引入了CT -内射维数的概念，从维数的角度来更进一步地认识CT -内射。

In chapter 3,we prove that a complete noncompact n-dimensional Riemannian manifold M whose Ricci curvature Ric_M ≥(n- 1) has finite topological type or diffeomorphic to R~n if its Excess function has some upper bound at a point.

第三章，我们证明了对于Ricci曲率Ric_M≥-(n-1)的完备非紧n维Riemann流形M，若它的共轭半径有正的下界且共轭半径的某个函数为M在某一点的Excess的上界时，它就有有限拓扑型或者微分同胚于n维欧几里德空间。

Space is considered to be three-dimensional and time is thought of as the fourth dimension.

空间被认为是三维的，而时间则被看作第四维。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

These contain part of an older and Hellenist Jewish Sibyl, as well as of a poem by the Jewish Pseudo-Phocylides, in which heathen myths concerning the first ages of man are curiously welded with Old Testament views.

余下的这两本书组成，整个放在一起，不早结束的第二个世纪，也许是由一个犹太基督教。（ 2 ）的第三本书是由到目前为止，最有趣的，除了碎片已经提到，维维。

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。

In chapter 3, an algorithm about how to build the 3D model base on some base circles and tangent of them. Then arrange the base structure accorder the stitch, generate the mesh of the yarn surface, show the mesh then get the result of simulation.

在论文第三章中，讲述了建立基于空间基圆以及基圆间空间切线的三种基本结构的三维模型，并根据针法数据排列基本结构，生成纱线表面面片，显示面片得到编织物模拟结果。

The thesis consists of three parts:The first part deals with optimal Sobolev inequalities on compact Riemannian manifolds;the second part is concerned with some variational models in image processing,and we propose variational models as well as experimental results for detection,denoising and mosaicking;the last part deals with inverse differential geometry in 3-D non-local image restoration.

本论文由三个部分组成。第一部分是流形上的非线性分析：第二部分是基于能量极小化方法的图像处理；第三部分是三维非局部图像重建及逆向微分几何。在第一部分中，我们研究了紧致流形上的最优Sobolev不等式，证明了某些不等式虽然就整体而言是不成立的，但总是局部成立的。

Based on the characteristic of driving posture, sitting postural manikins for man and woman's drivers with 5th, 50th and 95th percentile, classified as stick, plane and three-dimensional models, are developed.

依据驾驶员驾驶姿势的特殊性，建立了第5、第50、第95百分位的男女驾驶员杆状、平面、三维坐姿人体模型。

In chapter 3, the FLUENT software is used to simulate the 2D and 3D fluid fields of three kinds of distribution pairs (cylinder block and piston, valve port and end cap, valve plate and cylinder block).

第三章，利用Fluent流场仿真软件，对液压变压器三个关键配流副(配流盘-后端盖，配流盘-缸体，缸体-柱塞)的流场进行了初步的二维和三维仿真分析，给出了配流盘控制角度为60°下的仿真结果。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。