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。
The distinction between covariance and contravariance is important for computations with tensors, which often have mixed variance.
张量的三分之一通常称为体应力。
从而可以得到不同扩散张量的适用范围。
Accordingly, the applicable range for these diffusion tensors is acquired.
而复合介质的电介质张量的计算相当复杂。
It is rather complicated to evaluate the dielectric tensor of composite media.
提出了应力张量与位移梯度张量的对偶关系。
A dual relationship between stress tensor and displacement grads tensor is presented.
动量流的选择导致了麦克斯韦应力张量的表示。
The momentum current picture leads to a representation oe Max well's stress which is easy to . visualiye and to shctch quantitatively.
最后，还介绍了单晶化学位移张量的常规测量方法。
The common methods for measuring single crystal chemical shielding tensor are also discussed.
由热力学第一定律及无损条件导出了介电张量的对称性；
The symmetry of the permittivity tensor is found to be based on the first law of thermodynamics and the non-wastage condition.
本文针对三组节理的岩体，推导了渗透张量的一般形式。
In this paper a seepage tensor for rock masses with three sets of joint is presented.
建立了用于测量地层平面内各向异性渗透率张量的方法。
A comprehensive method to measure the formation plane anisotropic permeability was proposed.
介绍了等效渗透张量的计算方法，并给出其有效性的判定标准。
The method for calculating equivalent permeability tensor is introduced, the criterions for determining the tensor validity are presented.
主要包括两视点结构中基本矩阵及三视点结构中三焦张量的计算。
It consist of computation of fundamental matrix in two views and of trifocal tensor in three views.
计算了流体力学相互作用对转动扩散张量的二体贡献和首项三体贡献。
The two-body and leading three-body contributions of hydrodynamic interaction to the diffusion tensor are calculated.
本文通过变分途径建立了变形梯度张量的极分解和加法分解之间的联系。
Through a variational approach, the passage from the additive decomposition to polar decomposition of deformation gradient has been completed.
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。
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.
讨论特殊半对称联络的黎曼流形，给出了该流形曲率张量的一个代数结构。
In the present paper, the algebra property of Riemannian manifold which is contained some special semi symmetric connection is given.
研究多分量胶体悬浮系统的反射理论，给出用反射理论推导转动扩散张量的方法。
This paper studies the reflection theory for multi-component colloidal suspension systems and presents the method of deriving the rotational diffusion tensor.
并提出采用渗透压力附加柔度张量的概念来定义渗透压力对岩体力学特性的影响。
The concept of additional flexibility tensor is introduced to indicate the influence of seepage pressure on the mechanic characteristics of rock mass.
最后通过近似分析，给出了在小变形中等转动情况下转动张量和伸长张量的近似表示。
Finally, through the approximate analysis, the approximate representation on the rotation tensor and stretch tensor is proposed.
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。
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.
用群论方法导出具有轴转动群so(2)对称性的三阶非线性弹性系数张量的一般形式。
The general form of the third-order nonlinear elastic coefficient tensor having the symmetry of the group so (2) was derived with the help of group theoretical methods.
针对现有折算渗透系数法中的缺陷，推导了整体坐标系下岩溶管道渗透张量的计算公式。
To overcome the disadvantage of converting permeability coefficients method, the formulas to calculate tensor of karst conduit in global coordinate system are deduced.
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。
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.
为了描述材料的各向异性，引入了一个由应力张量和组构张量的联合不变量表达的各向异性参数。
To characterize relative orientation between the loading direction and material fabric, an anisotropic variable expressed by the joint invariants of the stress tensor and fabric tensor is introduced.
讨论了一个二维黑洞的能量应力张量的相干态表示，并将这样得到的结果与已有的结果进行比较和讨论。
In this paper we turn out the coherent-state expression of energy-momentum stress tensor in two dimensional Schwarzschild black holes. The results have been discussed as well.
研究表明，通过借助于矢阵概念，在涉及多个坐标系时，张量的相对导数得到了更加清晰和严格地描述。
It was shown that with the help of vectrix one can treat the relative derivatives of a tensor more clearly and more rigorously when multiple reference frames were concerned.
讨论了一个二维黑洞的能量应力张量的相干态表示，并将这样得到的结果与已有的结果进行比较和讨论。
In this paper we turn out the coherent-state expression of energy-momentum stress tensor in two dimensional Schwarzschild black holes.
利用微扰理论导出了系统的介电张量，研究发现，MMP具有完全不同于静态磁化等离子体介电张量的形式。
Adopting method of perturbation theory dielectric tensor of the system is derived, MMP shows a completely different form of the dielectric tensor with the static magnetic plasma.
该解决方案的场方程的组成部分的度量张量的时空。数据量描述了几何时空。在大地的时空路径计算的数据量。
A metric tensor describes a geometry of spacetime. The geodesic paths for a spacetime are calculated from the metric tensor.
本文将弹性静力学中的应力函数张量概念直接推广到连续介质动力学问题中，给出了动力应力函数张量的一般表达式。
This paper generalizes the concept of stress function tensor in static elasticity into the more general case of continuum dynamics .
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