查询词典 algebraic space

The main objects of study are algebraic varieties in an affine or projective space over an algebraically closed field; these are introduced in Chapter I, to establish a number of basic concepts and examples.

全书共分七章，前三章是基础知识部分；后四章是本书的核心部分，总结了近年来代数几何码的最新研究成果，并且包含了作者的一些尚未发表的结果。

For the sake of getting more economic or effective controllers, a mapping law is proposed that the sub-systems in a space are mapped algebraic equally into another space to reduce differences by optimal theory. No any restrictions are added to the controlled systems, and without need to solve coupled Lyapunove or Riccati equalities.

2考虑了各子系统之间的层次差异，提出了变换规则，通过代数等价变换将各子系统映射到另一空间，借助优化理论，消除各子系统之间的差异，从而获得更经济、更有效的控制器。

Take the method of "subarea" and "conjunction" to segment the whole request model to three parts. Making use of boundary continuousness between medium and lining structure at stress and displacement, construct a wave function that can satisfy the stress boundary condition at horizontal surface by the scattering of SH-waves in circular part. And then, availing of the wave function, conjoin the circular part into the semi-circular hollow space at common boundary. The problem can be reduced to solve the question that can only meet the condition of "conjunction". Finally, the solution of the problem can be summarized to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

采用"分区"与"契合"的方法，将整个求解区域分割成三部分，利用介质与衬砌结构在边界上的应力、位移的连续性，构造一个可以自动满足水平界面上应力边界条件的圆域对SH波散射的波函数；再利用这一波函数将圆域与半圆形凹陷半空间的"公共边界"进行"契合"，将问题简化成对一个只需满足'契合'边界条件的散射问题的求解；最终归结为对一组无穷代数方程组的求解问题，利用截断有限项的方法对其进行计算。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

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。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

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。

The classical work usually assumes the setting of complex projective space in favor of its algebraic closedness; thus the classical results cannot be applied directly to the setting of real projective space assumed in most CAD/CAM applications.

古典的代数几何方法对QSIC的分类在复空间进行，由于复空间的代数封闭性，在复空间对QSIC的分类已有非常完善的结果，但其分类结果不能直接应用于实空间中的CAD／CAM问题中。

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 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。

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