代数空间

Based on the theory of robotics, manipulator's kinematics equation is established and inverse kinematics analysis and calculation is made by algebraic solution after simplification, besides, Cartesian-space schemes, working space and singularities are also taken into account.

在机器人学的理论基础上，使用D-H方法建立了机械手的运动学方程；通过问题简化，利用代数解法，进行了逆运动学分析和计算，并对机械手进行了笛卡尔坐标轨迹规划，为后续控制系统的设计及机构运动仿真提供了依据；分析了机械手的工作空间、奇异性；介绍了建立机器人动力学方程的常用方法。

The line space is one of the most main research object and the most essential concepts of linear algebra .

线性空间是线性代数最主要的研究对象、最基本的概念之一。

An important concept here is that of vectors , generalized to vector spaces , and studied in linear algebra .

这里一个重要的概念是，向量，推广到向量空间，以及线性代数研究。

Linear algebra Vector spaces, linear maps, basis and dimension.

线性代数向量空间，线性映射，基础和尺寸。

The existence of potential 〓、Ω is proved in linear functional space theories.

用线性函数空间理论证明了位函数〓、Ω的存在性；指出了现有文献在退化矢量位〓的唯一性证明中所存在的问题，并重新给予了证明；证明了位函数〓、Ω在导体与导体、导体与非导体界面上自然满足分界面条件；针对汽轮发机端部的轴对称涡流场，讨论了位函数〓、Ω的泛函及有限元代数方程组的形成。

Linear space and linear transformation, and matrix theory connecting with them, is a central content of linear algebra.

线性空间与线性变换，以及与此相联系的矩阵理论，是线性代数的中心内容。

Then we apply it to a C-module V, where V is a n-dimensional vector space and the operator from C×V to V is defined by a linear transformation T of V, then we get a unique factorization of V and a right basis under which the transformation matrix of T is T's Jordan canonical form.

然后把它应用到一个具体的C-模V，其中V是n维线性空间，C×V到V的映射由V中的一个线性变换T定义，从而得到V的一个唯一分解，再结合线性代数有关知识给出V的一组基，T在这组基下的变换矩阵恰为T的Jordan标准形。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源：3282AB83C论文网www.abclunwen.com)，建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理，并在拓扑向量空间中定义了C_x-拟单调算子，引入了闭凸集K的inner点，给出了inner点与相对代数内点的关系，利用innK_c代替K的拓扑内部，建立了新的拟单调向量变分不等式。

In the first part, firstly, we introduce the nonstandard analysis theory simply. Using the axioms in nonstandard analysis, the nonstandard model is axiomatic approached, and the existence of nonstandard model and the consistence of axioms in nonstandard analysis are proved by the construction of nonstandard model. Secondly, some properties of nonstandard model are discussed, such as transitivity, Boolean properties, etc. Finally, Loeb measure spaceY,L

在第一部分里，首先对非标准分析理论进行了简单的概述，通过用非标准理论中的公理，给出了非标准模型，进而利用非标准模型的构造，证明了非标准模型的存在性和非标准模型中公理的一致性；其次，讨论了非标准模型的一些简单性质，如传递性，布尔代数运算性质等；最后，在内测度空间Y，

They are presented in need of special curves and surfaces in engineering applications. In order to prove that the uniform C-B-spline basis is normalized totally positive, we compute the matrix which transforms the C-Bézier basis into the uniform C-B-spline and decompose this matrix into a product of. bidiagonal and stochastic factors.

本文用递推的方法，计算出代数三角空间中的n次C-Bézier基与n次均匀C-B-spline基之间的转换矩阵，并把该矩阵分解为一系列二对角阵的乘积，从而证明出n次均匀C-B-spline基是一个标准全正基，进一步用插入节点的方法，把它扩充为一组标准B基，从而我们可以利用B基的很多优良性质，在工程应用中对这两组基进行开发利用。

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