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Put forward a new method by transforming the second-order hyperbolic equationinto a first-order system of equations and derived the H_0~1 -norm and the L~2 -norm error estimates.

12提出一种新方法，通过转化双曲型方程中二阶时间导数项得到关于一阶时间导数的耦合方程组，然后进行离散，得到一个两层交替方向有限元格式，并得到H_0~1-模和L~2-模误差估计。

First of all, the report introduced evolution, achievments and problems in the study of anisotropy in the inner of earth. The first-order hyperbolic system of equations is work out, which is used to describe the wave motion in 2D transversely isotropic media. Utilizing the characteristics of free-divergence, We have imposed MacCormack theme that is used to simulate multicomponent records in anisotropic media and have developed a fast high order vectorized finite-difference algorithm adapted for the vector supercomputer.

本文首先阐述了地球内部介质各向异性研究的沿革、成就和问题，接着给出了描述二维横向各向同性介质中波动的一阶双曲型方程，利用其自由发散特性，构制了各向异性介质中多波多分量地震记录数值模拟的MacCormack算式，导出了适用于并行计算的二维横向各向同性介质中波动的有限差分模拟算子，该算子具有可并行化计算、相位差小等优点。

They form usually a ring, but some fields may be composed of three matrices aI+bA, aI+cB, aI+dC, and of some special 2-order, even n-order matrices. It is a new type of hypercomplex number fields.

它们一般组成环，但3种矩阵aI+bA，aI+cB，aI+dC及某些特殊的二阶甚至高阶矩阵可以组成域，这是一类新的超复数系。

Inspection, we can use the mouse in order to open "Control Panel / System / Device Manager / Network adapter" settings window in the window to check whether the interrupt number and I / O address conflict (the best machine to all the interruption of the same set in order to facilitate the comparison), until the network adapter in the attribute of "the device is operating normally," and in "Network Places" to find himself at least that there is no problem with the configuration of the network card.

检查时，我们可以用鼠标依次打开"控制面板/系统/设备管理/网络适配器"设置窗口，在该窗口中检查一下有无中断号及I/O地址冲突（最好将各台机器的中断设为相同，以便于对比），直到网络适配器的属性中出现"该设备运转正常"，并且在"网上邻居"中至少能找到自己，说明网卡的配置没有问题。

The resulting linear system, the coefficient matrix of which is, typically, a 2 x 2 block symmetric or non-symmetric and singular or non-singular indefinite matrix, is of high order and ill conditioned. In order to solve such system we have to use iterative methods with fast convergence speed.

所得的离散方程组（其系数矩阵典型地是 2 x 2 块对称或非对称，奇异或非奇异的不定矩阵）是高阶和病态的，为了求解这样的方程组我们必需使用快速收敛的迭代方法。

Fromthese paintings one can see the primitive order of values ofthese peoples,and the utilitarianism, chaos and illogic oftheir order of values.

从岩画中可以看出古代北方民族的原始价值观念，这种价值观念有功利性、混沌性、非逻辑性的特点。

Based on two algebra Riccati equation method especially the structure of the system Hamilton matrix and system observability theory, the role of invariant zeros in constructing system reduced order controllers was given. That is, by the suitable selection of free parameters of the system H(subscript ∞) controller, some points which were symmetry with the unstable invariant zeros about the imaginary axis became the stable poles of the system controller which were not observable and could be reduced from the system, thus could get further reduced order controller.

基于2代数黎卡提方程方法，特别是系统Hamilton矩阵的结构特点和系统可观测性理论，论述了不变零点在构造系统降阶控制器中所起的作用，即通过选择控制器的自由参量，使某些不稳定的不变零点关于虚轴对称的点构成系统控制器不可观的稳定极点，从而实现了控制器进一步降阶。

The system spread rapidly to all branches of the order and was imitated by almost every other religious order.

该系统迅速扩散到所有分支机构的秩序和模仿的是几乎所有其他的宗教秩序。

The research background of this thesis is modified reputation evaluation algorithms in distributed environment in order to utilize them into Grid environment, Presenting a new Dempster-Shafer-Theory-Based Grid-Supported Reputation Management Model combined with the Grid environment and advanced research work in point, in order to adapt to the requirements of Grid entities reputation quantitative evaluation, the immeasurability and fuzzy problems of Grid credibility description are resolved, further put forward the relevant reputation evaluation algorithm.

将在分布式环境下适应的信誉评价算法进行改进使其适用于网格环境中，以网格环境下的安全合作为目标，结合网格环境以及在此方面同行所做的前沿工作，提出一种新的基于Dempster-Shafer证据理论的支持网格的信誉评价算法，以适应网格实体信誉定量评价的要求，解决网格信誉描述的不可测量性和模糊性问题，并给出相应的信誉管理模型。

In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme. Firstly, we use the steady convection diffusion equation, the constant coefficients of this equation are expanded to power series of grid-spacings, then the high-order Perturbation Finite Difference scheme is obtained by determining the coefficients of the power series. Put this scheme on unsteady convection diffusion equations and modified it, the IPFD scheme is constructed.

本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。