查询词典 finitely generatable vector space

It defines the vector norms as satisfaction function to revise the weighting factors of metrics given by analytic hierarchy process. Meanwhile, the scheme exploits vector geometrical relationships in Hilbert sub-space basing on revised weights to measure similarities between vectors of network ability and user target.

该算法定义Hilbert空间中的向量范数表征满意函数，以修正由层次分析法给出的各指标权重因子；并利用基于修正权重因子的Hilbert子空间中向量间的几何关系，衡量网络参考向量与用户目标向量间的相似性，选择与用户需求最匹配的网络。

A class of generalized multi-valued vector variational inequality problem is studied in Hausdorff topological vector space.

研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题，把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理。

And then fuzzy least square support vector machines are proposed based on support vector domain description. Data samples in the feature space are described and the smallest enclosing hypersphere is obtained. The fuzzy membership value to each sample point is determined according to the distance of each sample from the center of the hypersphere, which can reduce the effect of outliers.

该方法先对样本进行数据域描述得到一个包含该组数据的最小半径的超球，再根据特征空间中样本与超球球心的距离确定它们的隶属度，减少了奇异点的影响；把所要求解的约束凸二次优化问题转化为正定线性方程组，并采用快速Cholesky分解的方法求解该方程组。

The paper showed a parameter representation of isotropic vector in complex vector space, and obtained the some properties.

给出了复向量空间中的迷向向量的一种参数表示，并由此获得了迷向向量的一些性质。

In this paper, first of all, we study the set-valued vector equilibrium problems and the set-valued vector Hartman- Stampacchia variational inequality in normed linear space.

本文首先在赋范线性空间中，研究了集值向量均衡问题和集值Hartman-Stampacchia变分不等式这两个问题的弱有效解的存在性，得到了弱有效解集的连通性和紧性结果。

Direct torque control is another high performance control technique of AC motor, it discard the decouple idea of vector control, but adapt flux oriented control and transient space vector theory, directly control stator flux and torque, it has the advantage of rapid torque response and less relying on stator parameters, but has the disadvantage of bigger torque ripple.

直接转矩控制技术是继矢量控制技术之后的又一种交流电机高性能控制技术，它摈弃了矢量控制中解耦的控制思想，采用定子磁链定向和瞬时空间矢量理论，直接对电机定子磁链和转矩进行控制，具有转矩响应快、对电机参数依赖小的优点，但它的不足之处就是存在转矩脉动。

The course will introduce the basic theory of Linear Algebra including linear equations, Matrix theory and vector space concept. Eigenvalues and eigenvectors are used for describing the characteristics of the system. A set of orthogonal basis vectors represent the vector components and transformation characteristics.

线性代数是利用向量与矩阵特性，解决任何以线性方程式描述之系统，譬如电路系统、通讯系统、控制系统；藉由线性代数之特征值与特征向量，更能深入了解系统之内涵；藉由线性代数正交基底，则能深入了解向量讯号之组成与其转换特性。

First, structure tensor is calculated to gain vector field for characterizing local structure of image. And then, total variation partial difference equation is imposed for smoothing vector field. Based on this we use line integral convolution for guide the stroke to generate virtual special effect image with fluctuant sense. Last, mergering with original real image, cylindrical panorama with virtualized relationship controlled by time can be generated, which accomplished the character of surpass the time and space in virtual reality system.

该方法通过计算结构张量获得图像曲线走向矢量场，以此刻画图像局部结构；并采用全变分偏微分方程对曲线走向矢量场自适应滤波平滑处理；在此基础上利用线积分卷积指导画笔走向模拟生成线条波动感虚化效果图像；最后结合原始真实图像和虚化效果图像，实现了一种基于时间变量的柱面场景虚化关联算法，并为虚拟现实系统超越现实时空的需要提供了一种新思路。

In this outlook of this dissertation, the primary idea is to extend the Helmholtz"s theorem to get the complete projection theorem of electromagnetic fields in vector wave space—the extend of the Helmholtz"s theorem which can be used to study the eigenvalue problem of the vector partial differential operator.

在论文的展望中，将亥姆霍兹定理进行推广，得到了电磁场在矢量波空间的完全射影定理即推广的亥姆霍兹定理，由此可以研究基于矢量偏微分算子的电磁场的本征问题。

Electromagnetic theory ; Vector wave function space ; Vector partial differential operator ; helmholtz

电磁场理论；矢量波函数空间；矢量偏微分算子；亥姆赫兹定理

We have something to do in the new stage.

在这段崭新的时期中，我们有一些要做的。

The difference between tourism decision-making under uncertainty and risky tourism decision-making is indistinctive.

其中不确定性旅游决策和风险旅游决策的界线比较模糊，两者的区分是相对的。