代数空间

And resolves many difficult issues for complex multibody systems dynamic analysis, design and simulation in engineering areas. Therefore, it is worth to deeply investigate and perfect the spatial operator algebra.

本篇论文也是以空间算子代数理论为研究对象，对其理论作深入研究，并在Lie群、Lie代数、Riemannian流形理论体系中建立空间伴随算子形式的高效率建模和高效率递推运算动力学模型。

Chapter 3 discusses the algebraic and spectral properties of dual Toeplitz operators on the orthogonal complement of the Bergman space, such as boundedness, compactness, spectral properties and so on.

第三章研究了多圆盘Bergman空间的正交补空间L_a~2(D~n~⊥上对偶Toeplitz算子的代数性质，比如：有界性、紧性和谱性质等。

Then the stability solution of the variable cross-section compression bar, that is discribed by a partial differential equation with variable coefficient is transformed into solving a set of algebraic equations established in the subspace.

首先以均匀梁的低阶纵向振动模態函数构成求解子空间，然后在此子空间中把变截面压桿稳定由变系数偏微分方程描述的求解问题转化为非线性代数方程组的求解，从而简化了计算过程。

Within algebraic geometry is the description of geometric objects as solution sets of polynomial equations, combining the concepts of quantity and space, and also the study of topological groups , which combine structure and space.

在代数几何里，把几何对象描述成多项式方程的解集，结合数量和空间的概念；也研究拓扑群，结合了结构和空间。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

Though vector algebra, the theory of Pythagorean Theorem in Three-dimensional Euclidean Space was generalized with n-dimensional Eudidean space.

以向量代数为工具，将三维欧氏空间上的勾股定理在n维欧氏空间上进行了推广，得到了广义勾股定理。

Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+Bri in a linear space and conditions assuring riA+Bri in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions.

根据Tanaka和Kuroiwa的结论，在集合相对代数内部和相对拓扑内部概念的基础上，分别讨论了线性空间中Ari+Bri和线性拓扑空间中riA+Bri成立的条件，从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形

In recent years, the trace function, as a linear transform from an extension victor space to its basic victor space, has been comprehensively employed to do researches concerning the algebra construct

近年来，迹函数作为一种从扩域向量空间到其基础域向量空间的线性变换，被广泛用于研究有限域的代数结构及序列密码的性质。

In SART（Simultaneous Algebraic Reconstruction Technique）,there is no restrict to image space,so the image space's noise will increase after the definite number of iteration.

联合代数迭代方法对重建图像空间是无约束的，其迭代到一定次数后，图像空间的噪声会不断增加。

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。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了