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Second, compared with direct tensor product in multi-dimensional space, which suffers from the exponential increase of the number of sampling points with the number of variables, the Sparse Grid technique decreases the number of collocation points dramatically while the accuracy is guaranteed, and further reduces the computational complexity.

其次,为了避免通常用于多维空间的直接张量积随机配置法所带来的采点数随空间维度指数增长的缺点,采用稀疏网格采点技术,在保证建模精度的同时大幅度减少了配置点数目,从而进一步降低了随机配置法的计算复杂度。

Analysis of dynamic instability of interfacial slip waves based on the surface impedance tensor.

基于表面阻抗张量的界面滑移波动态失稳分析。

Because Matlab uses complex matrix as its basic unit, we provided the matrix form of the Bezier curve and tensor product Bezier surface, and presented the ways to achieve them by using Matlab. On such a basis, we obtained the algorithm, made feasible programs and demonstrated them by concrete examples. Such a study aims at promoting the realization of CAGD toolbox by using Matlab.

由于Matlab的基本编程单元是复数矩阵,因此首先归纳出了一维Bezier曲线和二维张量积型Bezier曲面的矩阵表示形式,在此基础上形成算法,编写了可实现的程序,随后以具体实例的形式给予验证,最终得到了满足要求的曲线和曲面,以期能够推动Matlab的CAGD专业工具箱的产生。

Frictional contact ; slip wave ; instability ; Stroh formalism ; surface impedance tensor

摩擦接触;滑移波;失稳; Stroh公式;表面阻抗张量

For the Bezier tensor product surface, recursive degree elevation and subdivision both generate a sequence of control meshes that converge to the underlying Bezier surface, and get the piecewise bilinear approximation of the original surface.

将升阶和子划分算法分别应用于Bézier张量积曲面,会产生一系列的控制网格,得到原曲面的分片双线性逼近。

It is rather complicated to evaluate the dielectric tensor of composite media.

而复合介质的电介质张量的计算相当复杂。

This paper has presented a method for calculating the damage tensor of rock mass with mulit-set of joints.

本文介绍了一种具有多组节理系统的岩体的损伤张量的计算方法。

One third of the tensor is often called the bulk stress.

张量的三分之一通常称为体应力。

A method for measuring certain tensor elements is discussed.

讨论了一种确定特定张量元的方法。

Objective To study the role of diffusion tensor imaging in chronic spinal cord compression.

目的研究脊髓慢性压迫损伤的扩散张量成像表现及临床应用价值。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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