The distinction between covariance and contravariance is important for computations with tensors, which often have mixed variance.
协变和逆变的区别对于张量的计算尤为重要，这往往会出现混合方差。
Tensors Under Rotations. Multipole Expansion.
转动下之张量。多极展开。
Quantities like stresses are called tensors of rank 2.
类似于压力的量称为2阶的张量。
Tensors of this kind are called antimetric or skew-symmetric.
这类张量叫做反对称张量或斜对称张量。
The fourth-rank tensors contain the compliance and stiffness constants.
四秩张量包含柔量常数和刚度常数。
Accordingly, the applicable range for these diffusion tensors is acquired.
从而可以得到不同扩散张量的适用范围。
In this thesis, we discuss some eigenvalue problems of nonnegative tensors.
本文探讨非负张量特征值的若干问题。
Using the method of nonlinear Lie algebra, the tensors of ladder operators are obtained.
用非线性李代数方法 ，对关于角动量的阶梯算符进行了研究。
The voxel values of DTI are diffusion tensors, so in this paper we consider the regularization of diffusion tensor image.
DTI是扩散张量值图像，本文即讨论扩散张量值图像的正则化问题。
Then based on displacement and strain, the formula of determining crust strain-rate tensors from vertical deformation measurements is derived.
根据应变与位移的关系，推导任一坐标方位角方向的地倾斜或地倾斜率与应变或应变率分量的关系。
It is also shown that the dyad is just the outer product of two vectors, and the relationship between dyads and tensors can be accordingly set up.
据此，可以阐明并矢正是二矢量的外积，并建立了其与张量的对应关系。
In this paper, the theory of why and how using decomposition of impedance tensors to correct static shift is illustrated. We use this method to...
在全面论述阻抗张量分解进行大地电磁静校正原理的基础上，通过模型试算证明了该方法的有效性。
A formula to solve the equivalent global damage tensor by summing up the damage tensors of individual joint sets is derived based on the energy principle.
根据能量原理，推导出了一个求解等效总体损伤张量的公式，适用于多个损伤张量求和。
As a tensor-valued function with a single tensor variable, i. e. strain, stress is expressed as a tensor polynomial that contains high order elasticity tensors.
应力张量，作为以单个应变张量为变量的张量值函数，用含有高阶弹性张量的张量多项式来表示。
The various anisotropic spin interactions which can be represented by the rank two tensors are decomposed into isotropic, symmetric, and antisymmetric constituents.
核自旋之间的各种各向异性相互作用都能用二阶张量表示，这些张量可分解成各向同性、对称以及反对称分量。
The method is used in the project of Huangdao Water-Sealed Underground Oil Tank, and it has special superiority in the analysis of permeability tensors and is practical.
通过黄岛地下水封洞库工程实例具体分析了这种方法的优点，说明利用电视钻孔成像结果来研究渗透张量具有可行性。
Frankly, I just want to know the most uncompromising, most mercilessly powerful tensor available on the market right now, because I do not have much experience with tensors.
老实说，我只想知道，最坚定，最强大的无情张市面上现在，因为我并没有太多的经验与张。
Concrete walls, steel beams and tensors compose the structure that marks the facade with its own aesthetics, showing the bolts and welding on an industrial and contemporary look.
混凝土墙、钢梁和张量组成结构，用自身美学标识立面，在工业和现代的建筑外观上表现螺栓和焊接的结构。
In earthquake process, average strain rate of the research block is equal to the sum of all seismic moment tensors of the earthquakes taking place in unit time and physical volume.
所研究地块内地震过程引起的平均应变速率等于发生在单位时间、单位体积内的所有地震的地震矩张量之和。
In studying the physical properties of two-dimensional octagonal quasicrystals, electric susceptibility, piezoelectric, elastic, photoelastic, Raman and Brilliuin tensors are important.
在研究二维八面准晶体的物理性质中，介电、压电、弹性、光弹、拉曼和布里渊张量是很重要的。
Based on the established relationship between the atomic potential and the macroscopic continuum strain energy density, analytical expressions for the tangent modulus tensors are derived.
利用原子间相互作用势以及能量等效原理，得到了基于广义连续介质模型的单壁碳纳米管的本构关系。
It is of practical value to determine the hydraulic conductivity tensors of large-scale dynamo-relaxed rock masses at site of Daliushu dam on the Yellow River and to analyze the seepage field.
黄河大柳树水利枢纽坝区岩体大范围发生了松动，确定其水力学特性指标并进行渗流分析具有重要的现实意义。
This paper discusses another way, which is rewritten as product of a few contravariant vectors and covariant vectors, to define higher order tensors covariant derivative through transformations.
通过把高阶张量写成若干逆变和协变矢量的乘积，直接从变换入手，给出了定义高阶张量协变导数的另一种方法。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
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