查询词典 alternating tensor

As a result, it is difficulty to characterize the peak and tailing concentrations. RWM typically based on the assumption that the velocity and velocity-dependent dispersion tensor vary smoothly in space.

然而，又各有不足，MOC及其修正形式，在每一个时间步长都要再求解弥散方程，MOC的解不能保证很好地满足质量守恒，且计算精度不高。

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。

Finally, we prolongate the theory to two dimension tensor product wavelets space, proofing the best approximation property of product spline wavelets interpolation and constructing the parallel algorithm of the wavelets decomposition.

最后，我们继续将这一理论拓展到二维张量积小波空间，验证了乘积型样条小波插值的最佳逼近性质，进而在二维张量积小波空间构造了乘积型样条小波分解的并行算法。

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。

The control mesh representations of the minimal surfaces are given by tensor product Bézier surface and triangular Bézier surface. Finally, we presented their application in modeling of tensioned membrane structure.

利用张量积Bézier曲面和三角Bézier曲面给出了该曲面的控制网格表示，并研究了该类极小曲面在张拉膜结构设计中的应用。

Considering that the NURBS has become a standard in CAD/CAGD, we shall investigate the approximation to the solutions of the minimal surface equation with the tensor Bezier surface and B-spline surface.

首先我们讨论极小曲面的分片线性的逼近，由于NURBS已经成为形状描述的唯一工业标准，而且极小曲面本身至少应该是二阶光滑的，因此我们讨论了极小曲面方程的Bezier和B样条逼近。

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。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

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。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48