查询词典 vector calculus

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。

Aeroflex Launches Complete Solution for RF Parametric Test of Wireless Subsystems, including LTEAeroflex announced the launch of the 7000 Series Vector Analyzer Generator, a single, fully integrated RF parametric test system for RF test of wireless components and subsystems. The 7000 Series combines both vector signal generation and vector signal analysis in a single box, providing an integrated approach to measurements for complex wireless standards, including LTE.

Aeroflex宣布推出7000系列向量分析仪产生器，是单一、集成之RF参数测试系统，可用于无线零组件和子系统的RF测试。7000系列在单一装置中结合了向量讯号产生和向量讯号分析功能，提供一个集成的方案来测量包括LTE等复杂的无线电标准。

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。

The update model of the probability vector in compact GA is characterized by random walk, based on which the components update of the probability vector in the CGA with binary code is studied. A novel algorithm is proposed consequently. By using this algorithm, the fitness difference of the two competitors is increased. This can guarantee the probability vector updates availably.

紧致遗传算法中概率向量进化的模型是随机游动模型，据此研究了二进制编码中向量分量的进化特性，提出了分级竞争紧致遗传算法（grading competition compact genetic algorithm，GCCGA），加大参与竞争的两个个体的适应度的差距，使概率向量有效进化。

For this reason, the author of the article puts forword a new concept projective vector and coefficient "image" of projective vector. Coefficient of projective vector is put forword by the author for the frist time. It is of high value, both in mathematics and theory.

为此，本文给出了"一个向量在另一个向量方向上的射影向量和射影向量系数"的概念，"射影向量系数"这一概念，为作者本人首次提出，具有重要的教学价值和理论价值。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！