查询词典 tensor field

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

Vector analysis, Dyads, index notation, covariant and contravariant derivatives, Christoffel symbols, Riemann tensor, hydro-dynamical field equation.

张量及场方程式：三维向量，张量符号，张量微分，克里斯多夫符号，黎曼张量，流体动力场方程式。

According to Lorentz transformation,the relativistic covariant of electromagnetic field tensor and 4-dimension forces,and the relativistic invariance of electric charge,it can be directly proved that a moving magnetic monopole will be acted- by a magnetic Lorentz force ,and that the magnetic Lorentz force has the same accuracy as the Coulomb low.

概述了磁单极概念的历史发展，从洛伦兹变换出发，利用电磁场张量和四维力的协变性以及电荷相对论不变，直接证明了运动磁单极受磁洛伦兹力，建议了一个磁洛伦兹力的验证方案，并用磁洛伦兹力公式导出狄拉克电荷量子化条件。证明了磁洛伦兹力公式具有与库仑定律相同的精确度

On the basis of these, the author analyze stress-strain model of rock and soil which is under the groundwater effect, the continuity equation of groundwater when the rock and soil is deformed, and the relation between permeability coefficient tensor of rock and soil and stress field, and brings up the mathematical model of stress-seepage coupling fields.

在此基础上，论文阐明了考虑地下水作用的岩土体本构模型、考虑岩土体变形的地下水流动连续方程和岩土体渗透系数张量与应力场的关系，提出了新的应力-渗流耦合场数学模型。

Satellite gravity gradiometry is a new domain of studying the detection of gravity gradients in space and their applications, in particular, suitable for detecting the short wavelength characteristics of the earth's gravity field At present it is still at the stage of developing the ultra-sensitive tensor gradiometer and carrying out the pre-research of applications.

卫星重力梯度测量是研究空间重力梯度探测与应用的新领域，特别适于检测地球重力场的短波特征。目前它尚处在研制超灵敏张量梯度仪器和应用预研究的阶段。

Satellite gravity gradiometry ; Ultra-sensitive gradiometer ; Gravity gradient tensor ; Earth's' gravity field model.

卫星梯度测量；超灵敏重力梯度仪；重力梯度张量；地球重力场模型

We carry out the computation by using GaussianO3, and we get data of electric dipole moment of molecule H2O in all directions when it is put in strong electric field and the data of microcosmic polarizability tensor.

我们通过使用高斯软件，运用量子化学中从头计算的方法，较全面的研究了水分子的各种极化性质，得出了水的微观极化率张量等定量的结果。

The energy-momentum tensor of gravitational field is a very important physical quantity.

引力场的能动张量是引力理论中一个极为重要的物理量。

It is found that energy density of static sphere symmetry of gravitational field is negative in the sphere coordinates and their energy density is positive definite in the Cartesian coordinates. This result shows that Einstien-Tolman expression of the energy-momentum pseudo tensor in the Cartesian coordinates have reasonable property.

在球坐标系和直角坐标系下我们用Einstien-Tolman表述计算球对称静态引力场的能量密度，发现在球坐标系下能量密度为负，而在直角坐标系下能量密度为正；这样的结果显示了Einstien-Tolman表述在直角坐标系下有其合理性。

In general relativity, the stress tensor is studied in the context of the Einstein field equations which are often written as

在广义相对论中，应力-能量张量主要出现在爱因斯坦场方程式的研究题材中，方程式常写为

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。