张量

MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

They are both independent of scene structure and are determined by camera internal parameters and relative pose among images. The concepts and characteristics of fundamental matrix and trifocal tensor are described.

基本矩阵和三视张量分别表示两张和三张像片之间的内部投影几何关系，它与场景结构无关，由摄像机内方位元素和像片间摄像机的相对姿态唯一确定。

Main contents of the thesis include point and edge extraction based on least-squares template matching; space circle template matching and reconstruction; outlier detection and elimination with fundamental matrix and trifocal tensor; improvement of Homography-based calibration technique, 2D-DLT and bundle adjustment based non-metric camera calibration technique with planar-scenes, point-line hybrid photogrammetry and visual inspection.

本文的主要研究内容包括影像格网点与直线段的自动最小二乘模板匹配；基于物方直接解的空间圆匹配与重建；利用基本矩阵和三视张量进行观测值粗差的剔除；同形矩阵摄像机标定算法的改进；基于二维 DLT 和光束法平差的非量测数字摄像机标定；点、线混合摄影测量模型与视觉检测精度分析等。

It shows that when one screw is of opposite phase to the other one, the pure elongational force field is be caused by the vibration, along with the oscillating effect during the course of the surface stretch.

引入右Cauchy-Green张量分析了间隙内的界面拉伸量，发现当两根螺杆反相位振动时，螺棱侧间隙内存在纯拉伸力场，而且界面在拉伸过程中存在着振荡效应。

As for models of hydraulic behavior, this paper makes a thorough study on aperture of rock joins、the number of open cracks after heating in rock mass、the fracture interconnectivity、tectonic stresses、the dilation due to shear sliding and chemical composition, and utilize fluid permeability tensor proposed by Oda, the tensor field of permeability in the fracture rock mass with coupled THM properties is derived.

在裂隙岩体力学模型方面，利用0'Connell建立的干裂隙岩体等效弹性模量与岩石模量的关系式，并由式中的裂隙密度概念意义，建立了温度作用下的裂隙密度与Oda提出的裂隙张量之间的关系式。

By expressing 4-angular momentum of the high-speed particular in the form of tensor ,and by Lorentz transformation,we can get the conversion equation of 3-dimension angular momentum and auxiliary vector.

高速运动质点的4-角动量表示成张量Jμv 的形式，通过对Jμv进行洛伦兹变换可以得到3维角动量L的变换关系以及辅助量G的变换关系，在经典过渡下，前者与角动量的伽利略变换相符合，后者恰好反映加速度a是伽利略变换的不变量。

In this paper, a fast algorithm for image interpolation based on the tensor product of matrices is presented, which transforms the vector interpolation model to matrix form.

这个矩阵需要很大的存储量和计算量。本文利用矩阵的张量积将原有的矢量插值模型转化成矩阵插值模型。

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。

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。

Based on the low frequency approximation of TIWL response in a homogeneous, transversely isotropic conductive medium, Zhdanov et al. derived the analytic formula to extract the conductivity of the anisotropic formation, the borehole dip angle and tool azimuth from the response of TIWL. These can be used as the foundation of TIWL data interpretation.

利用在横向各向同性均匀介质中测井响应的低频渐近式给出了由张量感应测井响应提取地层各向异性电导率和井孔倾角与方位角信息的解析公式，为张量感应测井资料解释奠定了基础。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。