查询词典 vector algebra

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

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。

A positive and negative projection method of object to be tested based on universal pattern display card includes using 3D texture to present rebuilt body data of object to be tested, calculating out directional vector array of ray outgoing point to detectors, storing said vector array into pattern display card to form directional vector texture, rotating directional vector texture and directional vector around rotary shaft to realize once of positive projection course on any projective angle, using 3D texture index technique to let virtual slab set position be not limited any more in negative projection course.

本发明属于投影探测与成像技术领域，其特点在于该方法含有以下步骤：把被测物体的重建体数据用三维纹理存储表示；预先计算射线出射点至平面探测器上个探测器之间的方向向量数组，并存储到通用图形显示卡中形成方向向量纹理；利用方向向量纹理与方向向量绕旋转轴旋转来实现任一投影角度的正投影过程的一次完成，无中间结果转存；在反投影过程中，利用三维纹理索引技术使虚拟切片组的放置位置不再受到限制。

ABSTRACT: The UAV navigation system's performance is improved through embedding the geography information model that can process the vector map data in the system by using MapX, In this paper, how to navigate and plan the UAV flight course in the vector map is investigated. The basic control and operation for vector map in the geography information system is introduced, and the flight course is designed and modified in the map. In addition, 2D vector map can't orient UAV in 3D space, so the altitude model is added in the UAV navigation system to realize 3D orientation by integrating 2D vector map with altitude plot. The simulation results in the UAV simulation system indicate that the navigation system can monitor and control UAV efficiently and intuitionally.

使用MapX在无人机导航系统中添加能够处理矢量地图数据的地理信息模块，可以显著地提升系统的性能；文章对如何在矢量地图下进行无人机导航与任务规划进行了研究，完成对地理信息系统中矢量地图的基本控制和操作，并在地理信息图上进行航线的设定与修改；另外，针对二维矢量地图无法对无人机进行三维空间定位的问题，文章通过在无人机导航系统中添加高度位置显示模块，用二维平面地图与高度图相结合的方式来实现对无人机位置的三维定位；通过在无人机仿真实验系统中的使用，证明了该系统能高效、直观地对无人机飞行进行监视与控制。

The motion vector in outgoing video stream is obtained by adding up base motion vector to delta motion vector. Base motion vector is extracted from input video stream. The search area of delta motion vector is very smaller than previous full-scale full-search area. Therefore, the computational complexity can be reduced and the estimation can be speeded up.

在该模式中，最佳运动矢量由基运动矢量和增量运动矢量相加得到，其中基运动矢量可直接从输入视频流中获得，而增量运动矢量的搜索域比先前全搜索域小得多，从而减小了运动估值搜索域，降低了计算复杂性。

Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

Introduction, Reviews and Concepts of Functions, Differentiation, Vector Algebra, Vector differetiation, Vector Integral, Orthogonal Curvilinear Coordinates.

课程介绍及授课计划、函数观念及复习、微分、向量代数、向量微分、矢量积分、正交曲线坐标、微分方程式。

According to the different face representation mode, there are four identifying methods. They are the mode identifying method based on geometry feature vector, the feature vector identifying method based on algebra feature vector, the facial feature extraction method based on NN and design method of sorter.

根据表征方式的不同，人脸识别方法有：基于层次聚类的几何特征矢量模式识别法、基于代数特征矢量的特征矢量识别法、基于神经网络的人脸特征提取和分类器设计法。

Vector to raster: Inside point diffuse method, diffuse from internal seeds within polygon to neighbor points, as far as to the boundary of polygon; Pluralism integral arithmetic, according to the close boundary of polygon, makes uncertain point calculate pluralism integral; Radial and scanning arithmetic, from a uncertain point which located outside of the figure to draw radial, according to the junction of radial and polygon to judge the internal and outside relationship; Boundary algebra filling, a vector convert to raster arithmetic which based on integral thought, suit for polygon vector convert which recorded topological relationship.

矢量转栅格：内部点扩散法，即由多边形内部种子点向周围邻点扩散，直至到达各边界为止；复数积分算法，即由待判别点对多边形的封闭边界计算复数积分，来判断两者关系；射线算法和扫描算法，即由图外某点向待判点引射线，通过射线与多边形边界交点数来判断内外关系；边界代数算法，是一种基于积分思想的矢量转栅格算法，适合于记

As the center or the Algebra subalgebra of a algebra plays an important role in reducing the number of state variables, the cartan subalgebra is a maximum Abelian subalgebra of an algebra, so it can be a powerful tool for the structure simplification of control systems.

由于代数的中心，或交换子代数在系统的变量降低方面具有重要作用，而Cartan子代数是李代数的极大交换子代数，因而它能成为简化系统结构的有力工具，第二部分利用向量场的积分曲线所定义的映射，构造出一个S—坐标，在该坐标下任一向量场都有一个标准的表示方法，一种无穷级数表示方法。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了