第三维

It needs to be mentioned that other appropriate models also can be used to substitute for the affine motion model.

第5章探讨了基于正则化的非刚体局部三维运动估计方法。

Inchapter three,the one dimension spin chain with alternating spins 1 and 1/2 is studiedby Green Function's decoupling approximate method.

第三章是用格林函数切断近似方法来研究一维自旋链。

Tool paths, and working procedure effecting machining residual stress as well as the law of its releasing were analyzed systemically by using three-dimensional Elasto-plastic FEM, which can optimize the tool paths and make the working procedure more rational.In the course of FEM simulation, the birth-death element arithmetic was introduced into simulating material remove, and the kinetic Load-step was used to simulated tools work.

第四，在上述研究的基础上，利用三维弹塑性有限元技术系统地分析了铣削力要素下铣削加工中走刀路径对已加工表面残余应力分布状态的影响规律以及铣削加工工序间残余应力的相互影响规律，为优选出较为合理的走刀路径和加工过程中安排去应力工序提供指导。

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

In the third chapter, we adopted a model in which atomic chain is connected with two reservoir and buffer Layer. Non-equilibrium Atomistic Green's Function method is adopted to study the model. And we study the influence of reservoir and buffer layer on heat transport.

第三章，我们采用了接有热库和缓冲层纳米链模型，采用非平衡原子格林函数法来研究一维链在有热库和缓冲层连接的情况下对系统热输运的影响。

In chapter 3, the concepts of M-matrix and H-matrix over a commutative Banach algebra have been proposed, and some of their important properties and applications in linear systems over a commutative Banach algebra have been studied. For usual complex matrix, the Bellman inequality with Hadamard product has been proved.

第三章，提出了交换Banach代数上M一矩阵及H一矩阵的概念，研究了其一些重要性质，并给出了在交换Banach代数上线性系统中的应用；对有限维复矩阵，证明了关于 Hadamard乘积的 Bell.an不等式。

In chapter 4, the method of founding a 3D parametric standard part base for assemble in hot runner design was presented.

第四章，介绍了热流道设计中一个面向装配的三维参数化标准件库的建立方法。

At the 2007 Miami International Boat Show, Viking was awarded the World Billfish Series President's Cup for the third consecutive year.

在2007年迈阿密国际船舶展，维京被授予世界billfish一系列总统杯连续第三年。

The theory of image formation with binary optical element is developed in Chapter four to describe and predict the system's performance.

第四章详细讨论了二元光学元件三维光谱、空间成像原理，预计了成像系统特性，建立了数学模型。

Luxemburg"s thoughts and actions are faced with too many dilemmas. Some western scholars hold that her views are between Bolshevism and Socialist Democratism, namely,"the Third Line. In a final analysis, it results from the interactions of her false judgment and analysis of her then times and environment as well as her firmness in beliefs.

卢森堡的思想和行为充斥了太多的两难，有的西方学者认为卢森堡的观点是介于布尔什维主义和社会民主主义之间的"第三条道路"，从根本上讲，这种状况源于她对自身所处时代背景、环境的错误判断和分析以及信仰上的坚定性的相互作用的结果。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。