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How to compute number of neighbours of each element in a tensor?

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#tensors
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Partial derivative of tensor with respect to tensor

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#derivatives #tensor-products #tensors
88
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Papers on Tensor factorization

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#convergence-divergence #tensors #matrix-decomposition #research #tensor-decomposition
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What is the magnitude of a tensor?

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#vectors #tensors
805
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Uniqueness of Tensor Decompositions (Aren't Matrix Decompositions a Special Case?)

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#matrices #tensors #matrix-decomposition #tensor-rank #tensor-decomposition
111
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What is the difference in writing $a^{i}_j$ and $a_{i}^j$ for a matrix?

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#linear-algebra #matrices #vectors #tensors
71
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An indentity for $2$-tensors

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#differential-geometry #proof-explanation #riemannian-geometry #tensors
125
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Differential form calulations

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#differential-geometry #differential-forms #tensors
167
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Give a formula for the pairing <α∧β,v⊗w> in terms of the pairings of vectors and 1-forms by expressing the 2-form as a tensor and contracting.

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#differential-geometry #tensor-products #differential-forms #tensors
560
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How can the stress tensor be a contravariant second order tensor?

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#linear-algebra #tensors #multilinear-algebra
198
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Tensor algebra derivation

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#tensors
82
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What is the difference between different vector spaces?

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#vector-spaces #vectors #tensor-products #tensors
205
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Equivalence of tensor field definitions

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#linear-algebra #differential-geometry #manifolds #coordinate-systems #tensors
7k
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Actual example of tensor contraction

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#linear-algebra #tensor-products #tensors #tensor-rank #tensor-decomposition
246
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How to differentiate a tensor like $ A = A^{\alpha\beta} e_{\alpha} ⊗ e_{\beta} $ wrt $ x^{\mu} $?

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#calculus #linear-algebra #differential-geometry #tensor-products #tensors

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