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are $a_j \otimes a_j$ linearly independent for a frame basis $a_j$?

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#linear-algebra #tensor-products #matrix-rank #tensor-rank
41
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Construction of a polynomial with specified integral over several regions

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#linear-algebra #polynomials #determinant #finite-element-method #tensor-rank
602
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SVD in scipy and numpy for tensors

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#tensors #svd #python #tensor-rank #tensor-decomposition
306
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Dyadic (tensor) product of four vectors

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#vectors #tensor-products #tensors #tensor-rank
145
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Contraction of tensor?

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#tensors #tensor-rank
38
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Higher order tensors Definition and notation issues

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#tensors #tensor-rank
329
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Polynomial coefficients tensor generalization

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#polynomials #tensors #tensor-rank
65
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Confusion between covariant and contravariant order of a $(n,m)$-tensor.

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#linear-algebra #definition #tensors #tensor-rank
212
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How can the isotropic and deviatoric parts of fourth- and fifth-rank tensors be obtained?

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#linear-algebra #tensors #tensor-rank #tensor-decomposition
123
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How to apply tensor symmetry and traceless properties to solve for an unknown quantity in terms of another variable?

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#tensor-products #tensors #tensor-rank
66
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Trying to effect permutating a tensor on its rank

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#tensor-products #tensors #tensor-rank #tensor-decomposition
65
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Rank of Matrix Multiplication tensor $\langle1,n,1\rangle$

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#tensors #bilinear-form #tensor-rank
199
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Dimension of the variety of rank 1 decompositions of a matrix

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#linear-algebra #algebraic-geometry #matrix-rank #tensor-rank
293
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Rank 1 tensors, how to describe them? (specific case)

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#linear-algebra #tensor-rank #tensor-decomposition
214
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Represent matrix in einstein notation with kronecker deltas

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#matrices #matrix-equations #tensor-products #tensors #tensor-rank

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