查询词典 tensor form

Uenced by lighting, expres-sion, view, and age, we apply tensor factorization to extracting multi-factor representationfor faces and propose a TF-based model for facial view estimation and an algorithm with themeasure of correlation between tensor representation and view factor.

考虑到人脸图像受光照、表情、视角、年龄等多种因素的影响，我们用张量分解方法同时提取人脸图像中的多因子表征，进而构建一个基于张量分解的人脸视角感知模型。

The quantities ba are the covariant components of a plane tensor, called the curvature tensor of the surface

baβ是"平面张量"的协变分量，叫做该曲面的曲率张量。

To mathematically characterize the deformation of the middle surface of a shell, the metric tensor and curvature tensor ought to be investigated in detail.

为了从数学角度更好地描述壳体中性曲面如何变形，通过渐近分析和张量分析，给出了当壳体中性曲面发生形变时度量张量和曲率张量改变量的完整表达式。

The Green's tensor in frequency domain for cylindrical layered media was deduced from the 3-D Green dyadic for homogeneous media according to the propagation laws of waves in layered media,then the Green's tensor in spatial domain can be achieved with Fourier transformation ,which is a singular integral of wave-number.

根据分层介质中波的传播规律，由均匀介质中的三维张量格林函数得到频率域中柱状分层介质的张量格林函数表达式，经过傅立叶变换，可以得到空间域的格林函数，它是一个关于波数的奇异积分。

The Green's tensor in frequency domain for cylindrical layered media was deduced from the3-D Green dyadic for homogeneous media according to the propagation laws of waves in layered media,then the Green's tensor in spatial domain can be achieved with Fourier transformation,which is a singular integral of wave-number.

摘要根据分层介质中波的传播规律，由均匀介质中的三维张量格林函数得到频率域中柱状分层介质的张量格林函数表达式，经过傅立叶变换，可以得到空间域的格林函数，它是一个关于波数的奇异积分。

Three methods for the computation of the isotropic tensor function,spectral decomposition method,eigenprojection operator method and representation theorem method,are compared.Different approaches to calculate the eigenvalues and their corresponding eigenvectors are also discussed.As an example,the exponent tensor function is calculated.

对计算各向同性对称张量函数的3种方法(谱分解法、特征投影算子法和表示定理法)进行了分析比较，同时也对如何计算特征根与特征向量的技巧进行了探讨，并利用3种方法对指数张量函数进行了实例计算。

The metric variational energy momentum tensor and the Belinfante tensor is equivalent and gauge invariant.

如果经典的作用量在度规的表达变换下不变，那么能动张量的迹为零， g^{ab}T_{ab}=0

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all th...

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all the angular interactions and spin sums involved in the problem have been worked out explicitly by using irreducible theory.

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

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。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。