查询词典 contraction of tensor

A series of formulae of calculating physical base and space metric tensor for 3-dimensional non-Cartesian tensor are presented which can be used to obtain the mathematical model for describing geometry and mechanics of continua such as oil and gas in energy-deliverying.

文章提出了三维非笛卡儿张量的空间度量张量的一系列计算公式，可借以建立油气输送等复杂系统的动量或能量传递的物理问题在任意坐标系中的数学模型。

This paper has presented the formulae of calculating physical base and space metric tensor for complicated system, these formulae are developed by using non-Cartesian tensor analysis and introducing physical base.

本文基于非笛卡儿张量的分析，并引入了物理基，提出了复杂系统的空间度量张量的一系列矩阵公式，据以求出任意曲线坐标系中的数学模型。

By the research of metric tensor and Riemann tensor on Riemann manifold, we getthe inherent curvature of configuration space belonging to parallel mechanism.

通过对度量张量和Riemann张量的研究，得出并联机构运动可达子空间的内在"弯曲"性质，指出使用相对坐标系和广义坐标是研究并联机构运动学和动力学问题的必然选择。

Objective To determine the relationship between the extent of the damage and clinical data in schizophrenia by using diffusion tensor imaging. Methods Twenty-two patients with schizophrenia and twenty normal controls received diffusion tensor scanning.

目的 应用磁共振扩散张最成像技术对精神分裂症患者额叶及胼胝体压部脑白质损伤情况与临床症状之间的关系进行初步研究。

The practical employment of multidimensional wavelet is only limited to tensor product wavelet. To construct a tensor product orthonormal wavelet basis in L〓, 2〓-1 different mother wavelets are used, and thus storing and computing wavelet basis of large dimension are of prohibitive cost.

根据Meyer的小波基存在性定理，利用张量积方法构造L〓的一个规范正交小波基，需要2〓-1个不同的函数，存储和计算方面的开销太大，在实时应用方面尚有很大的局限性。

Difference set is one kind of unbounded difference poset. The existenceof the tensor products of two cancellative difference sets are investigated. It isproved that the tensor product of a Boolean algebra and a cancellative differenceset always exists.

作为差分偏序集无界推广的差分集，我们研究了它的张量积问题，证明了任何消去差分集和布尔代数的张量积一定存在。

We calculate the energy-momentum pseudo-tensor of relic gravitational wave of both the polarized states by Riazuelo-Uzan expression of the energy-momentum pseudo tensor in the Cartesian coordinates, we can see that energy density and momentum densities of relic GWs are dependent on cosmic scale factor and square of the amplitudes,. At the same time, the energy density of relic GWs is positive definite, the momentum densities components have reasonable physical behavior,and their values are independent on the directions.

我们还用Riazuelo-Uzan表述在直角坐标系下对双极化态的遗迹引力波的能量动量赝张量进行计算，发现双极化态的遗迹引力波的能量张量密度与他们的振幅的平方和宇宙学尺度因子有关，他们的能量密度是正定的，大小跟传播方向无关，即遗迹引力波在宇宙学尺度上是各项均匀同性的。

Multiplication of a tensor by a scalar quantity yields a tensor of the same order.

张量和标量相乘仍为同阶张量

In contrast, in the linearized theory the deformation tensor is the sum of a rotation and a strain tensor and the order of their application is immaterial.

相反，在线性理论中，形变张量是旋转和平动张量的和，其值的数量级大小不重要。

We have described the stress tensor arising from equilibrium considerations and the strain tensor arising from kinematical considerations.

我们已经叙述了应力张量和应变张量的有关概念和某些特质，它们是分别从平衡的角度和运动的角度推导而得的。

Cable dampener cannot be rolled up but must be hung over the cable.

缆帆不能被卷起，必须保证处于展开状态

"This skylark is a present from my master," he says.

"这只云雀是我主人献上的礼物。"他说。