symmetric second-rank tensor 对称二阶张量 请采纳 如果你认可我的回答，敬请及时采纳，~如果你认可我的回答，请及时点击【采纳为满意回答】按钮 ~~手机提问的朋友在客户端右上角评价点【满意】即可。~你的采纳是我前进的动力 ~~O(∩_∩)O，记得好评和采纳，互相帮助 ...
The canonical quantization of a massive symmetric rank-two tensor in string theory, which contains two Stueckelberg fields, was studied. As a preliminary study, we performed a canonical quantization of the Proca model to describe a massive vector particle that shares common properties with the ...
doi:10.1007/s00190-004-0405-2J. CaiE.W. GrafarendB. SchaffrinspJournal of GeodesyJ.Q. Cai, E.W. Grafarend and B. Schaffrin, Statistical inference of the eigenspace components of a two-dimensional, symmetric rank-two random tensor, J. Geodesy, 78 (7–8), 425–436 (2005)...
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The properties of the spectrum of a symmetric matrix with real elements include the following: (1) all the roots λ1, λ2,…, λnof the characteristic equation of the matrix are real; and (2) to these roots there correspondnpairwise orthogonal eigenvectors of the matrix, wherenis the ord...
For order-2 tensors, which are actually matrices, this definition coincides with the usual definition of matrix rank. When r equals rank{T}, the decomposition given in (9.27) is often referred to as the Canonical Decomposition (CanDecomp) (CanD) of tensor T [13]. Other names appear in th...
map2CheckKillingTensor,g,S2 0dxdxdx,0dxdxdx,0dxdxdx,0dxdxdx,0dxdxdx,0dxdxdx (2.8) Calculate all the rank3Killing tensors generated byS3and the metricg. We get the...
Tensor[SymmetricProductsOfKillingTensors] - form all possible symmetric tensors of a given rank (linearly independent over the real numbers) from a list of symmetric tensors Calling Sequences SymmetricProducstOfKillingTensors(K, p, ptlist ) Parameters K - a list of lists of Killing ...
Symmetric tensor rank with a tangent vector: a generic uniqueness theorem DOI: 10.1090/S0002-9939-2012-11191-8 Edoardo Ballico,Alessandra Bernardi Full-Text Cite this paper Add to My Lib Abstract: Let $X_{m,d}\subset \mathbb {P}^N$, $N:= \binom{m+d}{m}-1$, be the order $...
It can always be used in the long form DifferentialGeometry:-Tensor:-GenerateSymmetricTensors. Examples > with(DifferentialGeometry):with(Tensor): Example 1. First create a 4-tensional manifold M. > DGsetup([w,x,y,z],M): Create a list L1 of all rank 2 covariant symmetric tensors ...