查询词典 contracted tensor

With the aids of the angular momentum coupling theory, the diagonal sum rule and the irreducible tensor theory, a formulism for calculating the matrix elements of Boron-like atoms' non-relativistic Hamilton between the Racah wave functions have been derived. Based on this approach, the non-relativistic energies of Boron-like atoms in the ground and the first excited states have been obtained.

本论文借助角动量耦合理论、对角和法则和不可约张量理论，导出了类硼离子基态和第一激发态非相对论性哈密顿在拉卡基函数之间的矩阵元的表达式，给出了计算类硼离子基态和第一激发态非相对论性能量的方法，并应用此法计算了类硼离子基态和第一激发态非相对论性能量。

This is a major difference between Boolean sum operator and Tensor product operator.

这是实际设计部门乐意接受的，也是张量积方法所不具备的。1

This paper have also explored the nonwandering property of sum of operator, direct sum of operator,tensor products of operators and differentiation operators which can be viewed as weighted shifts on some space.

本文也研究了和算子，直和算子，张量积算子以及在某种意义下可看成加权移位的微分算子在一定空间上的非游荡性。

By using the tensor product of matrix, stride permutation matrix and matrix power series under the meaning of matrix direct sum, the parallel algorithm, including the scrambling algorithm, can be expressed integrally. This description provides a convenient tool for the study and application of parallel FFT algorithm.

本文提出了矩阵直和意义下幂级数的矩阵运算，同时利用迭代形式的矩阵方程将混合基FFT的并行算法及其数码倒置算法完整地表示出来，为并行FFT算法的研究和应用提供了方便的表示手段。

A new structure tensor integrating the second-order directional derivative information is designed, which can precisely analyze complex weak edges in the image.

摘要一致性扩散是分析图像中定向结构的重要的预处理步骤，现有的一致性扩散图像增强方法难以识别图像中的弱边界。

Firstly, we introduce the technology of seismic geometric attribute for fault identification detailedly at home and abroad. Secondly we study the coherence, texture,curvature attribute and tricolor display technology of RGB to identify fault; In the part of coherence,we compare the traditional algorithms with model and actual data,mainly study the geometric structural tensor and wavelet multi-scale sub-frequency coherent algorithm; In the part of texture attribute, we introduce texture energy, texture contrast, texture entropy and texture homogeneity attribute.By merging texture attributes of different directions,the effect are more clear; In the part of curvature attribute,we study and analyze fractional-order curvature attribute's extraction and its application in fault identification; The RGB display technology mainly introduces how to merge multi-attributes in order to getting more richer and more clearer information.

首先具体先容了地震几何属性识别断层技术的国内外研究现状；然后分别研究了相干属性、纹理属性、曲率属性和RGB三原色显示技术来识别断层；其中相干属性通过模型和实际资料对传统相干体算法进行了对比，重点研究了几何结构张量相干体算法和小波多标准分频相干体算法；纹理属性主要先容了纹理能量、纹理对比、纹理熵和纹理一致性属性，通过对不同方向的纹理属性进行融合，效果更清楚；曲率属性重点分析了分波数曲率属性提取及其在断层识别中的应用；RGB三原色显示技术则主要先容了如何进行多属性融合来或得更丰富、清楚的信息，在此基础上开发了基于。

A theoretical stress tensor model that includes surface tension forces and viscous forces is developed by considering the three-dimensional spatially periodic cells of dodecahedron. Meanwhile, the shear stress and normal stress difference under various shear rates are calculated by computer.

本文在同时考虑表面张力与粘性力的情况下，以三维模型—长菱形十二面体及泡沫的应力张量表达式为基础，得出了泡沫的剪应力及法向应力差表达式，并通过计算机进行了求解，讨论了泡沫粘度、泡沫大小等因素对剪应力及法向应力差的影响。

Then, to explain the binary pulsar experiments, the Einstein equation needs to be modified with an additional source of the gravitational stress-energy tensor with a different coupling sign.

然后，為了解释双脉冲星的实验，爱因斯坦方程需要用一额外引力能张量項且具有不同的耦合符号来修改。

Calculate the Einstein tensor from a given metric in a tetrad or in a coordinate frame.

读，写，简化，替代和区分数学表达式；定义张量和张量运算法则；从一个给定的公制中在四分体或者同等结构中计算Einstein 张量。

Based on the relationship between the material elastic constants and the strain energy, the three-dimension SOEC and TOEC tensor expressions are obtained by using tensors derivation principle.

因为材料的弹性常数同其应变能相联系，所以利用张量的求导法则，给出了三维情况下SOEC和TOEC的张量表达式。

I can do simple painting, carpentry and plumbing.

我能做简单的油漆、木工和修水管等工作。

The motivations, notations and outline of this work are also given in this chapter.

从这个意义上讲，这些时滞是无害的。然后用实例说明这三个定理的应用和互不包含性。