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And had proven the essence of submit function on geo-technical material is under certain stress condition between the second deviator stress tensor invariant and the own attribute functional relation of materials.

证明了岩土类介质屈服函数的实质是在一定应力状态下偏应力张量第二不变量与材料自身属性之间的函数关系。

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。

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。

The effects of the aspect ratios of the ellipsoidal cavity on the relative strengths of these dipoles and on the radiation patterns are discussed in detail.

文中详细分析了椭球腔的形状因子对地震矩张量元素和远场地震波辐射图案的影响。

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

Review Landau and Hans about gravitation field energy - momentum counterfeit tensor is stated, how to rely on equivalent principle in order to clarify to come the energy of field of hunting pure gravitation - momentum is stated.

重温Landau和Hans有关引力场能量-动量赝张量表述,以阐明如何依靠等效原理来探求纯引力场的能量-动量表述。

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