一般代数

So, in this paper, a circular cavity witha large radius is used to replace the straight boundary of thehalf space, then the half space problem can be changed tothe scattering problem of two circular cavities to the steadyincident P-wave . Having the aid of the mature cylinderfunction theory, the general solutions of the wave functionscan be given, and an infinite linear algebraic equations ofthe unknown coefficients in the wave functions can be gottenwith the boundary conditions and the Fourier complex seriesexpansion technology, the infinite linear algebraic equationscan be approximately solved by the finite trunction withsatisfying some definite precision, at the basis of thissolution of the equation, the variations and the lay-outs ofthe DSCF at the circular cavity boundary vs. the differentincident angles, the different embedded depths of thecircular cavity as well as the different dimensionless wavenumber of the incident P-wave.

为此，本文采用一个半径很大的圆孔来代替半空间的直边界，将该半空间问题转化为一无限大空间中两个圆孔对稳态P波的共同散射问题，借助于成熟的柱函数理论，通过写出问题波函数的一般形式解，利用问题的边界条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的一无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了圆孔边界处的动应力集中系数随不同入射角、不同的圆孔掩埋深度、入射波的不同无量纲波数以及介质的泊松比变化和分布情况。

The singular position of similar platform 3UPU reached by algebraical method is identical to the position of general 3UPU analysized by vector method.

通过代数法得到的相似平台3UPU并联机构奇异位置，与用矢量法对一般3UPU并联机构所作的分析一致。

In this doctorial dissertation,we study the stabilization,strong stabilization and estimation problem in the framework of nest algebras in Hilbert space.

本文我们是在套代数框架下，研究Hilbert空间中线性系统的稳定化、强稳定化以及一般估计问题。

According to the different functions of the 3 mediums, the subculture generation greatly affected the sporification in the PPDA medium, and lightly affected other two mediums unless the subculture overtakes the fifth generation.

根据3种培养基不同的功能，在PPDA培养基上培养菌株时要着重注意不同继代培养代数对产孢量的影响，其它2种培养基培养菌株一般不超过五代，产孢量比较稳定。

From the Maxwells equations in integral form directly, the Maxwell Grid Equations are derived through discretization of the solution space and the equations, and thereout the common equation of arbitary structures. Secondly, the solution uncertainty of a common electro-magnetic equation is proved and a strategy is advised to get the unique solution of the finite integration equation.

直接从积分形式麦克斯韦方程组出发，通过空间离散与方程离散得到麦克斯韦网格方程组，由此得到任意结构的一般方程；深入分析了麦克斯韦网格方程组的代数特性，论证了其解的不确定性，并指出了一种可避免解不确定性的措施。

Firstly, by using Clifford algebra, we get the general expression of n-dimensional hyperbolic transformations.

首先，我们以Clifford代数为工具，得到了n维空间中双曲变换的一般表达式。

As same as the above-mentioned reason, because theconditions at the inside straight boundary of the binarycomposite material can not be easily satisfied, here, anelastic circular inclusion with large radius is used to replacethe upper half space of the binary composite material, so the〓mary binary composite mater ial problem can be changed〓the scattering problem of a circular elastic inclusion andto the scattering problem of a circular eastic inclusion and〓circular cavity in an infinite space to the steady incident〓wave.

与前面两个问题的理由一样，同样，由于问题中双质复合材料的内部直边界上的边界条件不易解析满足，为此，本文采用了一个半径很大的弹性实夹杂来代替问题中双质复合材料的上半空间部分，而将原来的双质复合材料问题转化成了无限大空间中一圆形弹性夹杂和一圆孔对稳态P波的共同散射问题，根据该问题的特点写出了弹性夹杂内外波场中波函数的一般形式解，利用该问题中夹杂和圆孔处的位移和应力的连续条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了双质复合材料中圆孔边界处的动应力集中系数随不同入射角、圆孔的不同位置、以及入射波的不同无量纲波数的变化和分布情况。

In her eyes, because that is the doorway toher heart * the place where love resides.

女人的漂亮必須從她的眼睛中去看，因為那是她心靈的窗戶和愛居住的地方

I will send some postcards to you.

我会向你发送一些明信片。