查询词典 vector analysis

In order to study vector-valued optimization problem, in chapter 5, a class of vector -valued function, that is, uniformly same-order set-valued function is introduced , which includes the separated functions as its proper subset; without hypothesis of convexity, new minimax theorem and saddle point theorem for uniformly same-order set-valued function are established. Next, by employing Ky Fan\'s lemma and H-KKM mapping , several existence results for generalized vector equilibrium problem established.

为了研究向量优化问题，作为可分函数的推广，第五章引入了一致同阶集值函数类，在没有凸性条件的假设下，对一致同阶集值函数建立了新的极小极大定理与鞍点存在定理；利用H-KKM映射，对一般向量均衡问题建立了(来源：A73BcbC论文网www.abclunwen.com)几个存在性定理；最后讨论了集值向量均衡问题系统，利用集值映射的拟凸性，在较弱的条件下证明了解的存在性。

The performance of the proposed method is compared with that of the well-known vector standard filters such as the VMF, progressive switch median filter, scalar median filter ,minimum distance between central sample and scalar median in its neighborhood vector median filter and the basic vector directional filter.

结果表明，DMNVM滤波性能明显优于现有的VMF、递进开关中值滤波、标量中值滤波、与标量中值距离最小向量滤波和方向矢量中值滤波；同近年提出的自适应向量滤波比较，AVMF客观指标平均绝对误差协MAE、均方误差和标准色差分别是DMNVM的1.81、2.59和2.17倍，这说明DMNVM的滤波性能有显著提高。

In the chiral SU(3) quark model, we use the coupling between quarks and nonet scalar meson fields and nonet pseudo-scalar meson fields to describe the medium and long range interactions, and use one gluon exchange to describe the short range interaction. In the extended chiral SU(3) quark model, besides the nonet pseudo-scalar meson fields and the nonet scalar meson fields, the coupling between vector meson fields and quarks is also considered, the short range interaction can be dominately described by vector meson exchange. We investigate the nucleon-hyperon interaction in the extended chiral SU(3) quark model and study the S-wave phase shifts of N-Λ and N-Σ systems. Comparing to the results in chiral SU(3) quark model, we find that the short-range interaction could be described either by the one-gluon exchange or vector meson exchange.

在手征SU(3)夸克模型中，用夸克与标量介子九重态和赝标介子九重态场的耦合来描述中长程相互作用，单胶子交换来描述短程相互作用，推广的手征SU(3)夸克模型是在原来手征SU(3)夸克模型的基础上进一步引入了夸克和矢量介子九重态场的耦合，主要由矢量介子交换来描述短程相互作用，在推广手征SU(3)夸克模型下研究了核子－超子相互作用过程，计算了N-Λ和N-Σ相互作用的S波散射相移，通过和手征SU(3)夸克模型的结果比较，发现N-Λ和N-Σ系统的短程相互作用既可以由单胶子交换来描述，也可以由矢量介子交换来描述。

This network's multidimensional wavelet basis function is built by substituting norm of the vector for that vector, not scalar product function of the vector, thus the cost of calculation of high dimensionalities is decreased nearly to the situation of one dimensionality.

此网直接用矢量的范数代替矢量来构造多维小波基函数，而不是采用通常的矢量的标量积函数的方法构造多维基函数，这样多维情况的运算量被降低到几乎和一维的情况基本相当的程度。

The authors present a new algorithm in this paper. Firstly, a vector pointing from one polyhedron to the other is picked. Then the authors start to find an intersection plane of one polyhedron based on the scalar product of the norm vector of the plane and the picked vector.

就这一问题，给出了一种新的算法，其思想是取一个从一个凸多面体指向另一个多面体的向量，根据两个多面体中的面与这一向量的相对位置关系来寻找相交的平面。

In the proposed algorithm, firstly the Hadamard transform was applied to all the codewords in the codebook and the input vector. Then the initial match codeword was selected from the codeword whose norm was nearest to the norm of input vector on Hadamard transform. Furthermore, the triangle inequalities with multiple control vectors and the two elimination criteria were utilized to reject mismatch codewords. Finally, the best-match codeword to the input vector was found.

该算法首先计算出每个码字和输入矢量的哈德码变换，然后为输入矢量选取范数距离最近的初始匹配码字，利用多控制点的三角不等式和两条有效的码字排除准则，把不匹配的码字排除，最后选取与输入矢量最匹配的码字。

Divergence Theorem: is a vector theorem that allows a surface integral of the normal component of the vector to be transfomed into a volume integral of the divergence of a vector, or vice versa.

散度定理：将矢量表面积分转换为体积积分的散度形式。

In this new algorithm, 2-D X-ray images are collected for Ca, Si, Al, Fe, S, K, Mg, and grey-level value of the same point in these images are normalized and arranged as a vector in a particular order. In this paper, the vector is named as character vector, for it can be used to characterize each point in cement pastes 2-D image.

新算法采集水泥截面上Ca、Si、Al、Fe、S、K、Mg的二维X-射线图像，将这些图像同一点处的灰度值正规化并按一定的顺序排列后写成向量的形式，称为该点的特征向量。

The generalized reliability of single failure mode component and unit structure under different kinds of uncertainty factors is treated perspicuously and classified. Combined with the three class fortify standard of aseismic design code,the conception of reliability vector of structures and systems with intermediate state before failure is put forward, and the calculation model of reliability vector with three stage working modes of "safety-intermediate-failure" and the operation rules of reliability vector of the simple aseismic engineering systems composed by structures are established.

针对各种不确定性因素下的单失效模式构件和单体结构，进行了广义可靠性的明晰化分类处理，结合抗震设计规范的三级设防标准，提出了具有中介状态结构与系统可靠性向量概念，建立了具有"安全-中介-失效"三级工作模式的可靠性向量计算模型，及其由结构组成的简单抗震工程系统的可靠性向量运算规则。

You choose zx plane, the PRINCIPAL NORMAL is Y The first vector H is defined as follow : H= Z x N. N is the normal vector y in our case. H =-X. The second vector V is defined as V = N x H.

如果你选中zx平面，则主法线方向为y 第一个矢量H如此定义：H=ZxNx为矢量乘积注：遵循右手定则），在我们这个例子中N就是y，H=-X 第二个矢量V定义为V=NxH。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。