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If $A_{ij}$ is rank $2$ tensor, show that $\frac{\partial(A_{ij})}{\partial x_k}$ is a rank $3$ tensor.

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#derivatives #tensors #tensor-rank
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Alternative definition of rank involving tensor products

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#linear-algebra #abstract-algebra #tensor-products #tensor-rank
262
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Relationship between Tensors of Different Rank

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#tensors #tensor-rank
451
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Why do you need tensors of rank $>2$?

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#analysis #tensor-products #tensors #tensor-rank
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Are matrices rank 2 tensors?

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#matrices #tensors #tensor-rank
103
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Do orthogonal transformations preserve the symmetry of the tensors?

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#tensors #tensor-rank
124
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How to algebraically express the condition for a tensor to be of rank $1$?

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#tensor-rank #tensor-decomposition
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Are rank 3 tensors always cubes?

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#matrices #tensors #tensor-rank
31
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Are rank-3 tensors used as optimization objective functions?

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#optimization #reference-request #tensors #quadratic-programming #tensor-rank
244
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Is the co-skewness matrix a rank-3 tensor?

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#matrices #tensors #matrix-rank #tensor-rank
30
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New to tensors, having problems understanding some basics

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#tensors #dual-spaces #tensor-rank
188
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Calculation of permutation in tensor of rank 4

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#linear-algebra #tensor-products #numerical-linear-algebra #tensors #tensor-rank
55
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Can sum of two (1,1) tensors be written as a (2, 1) tensor?

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#linear-algebra #tensors #multilinear-algebra #dual-spaces #tensor-rank
336
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Mathematical properties of Rank-$N$ tensors where $N$>2

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#tensors #tensor-rank
74
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How to find the second derivative of an expression in tensor form.

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