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Tensor rank as a first order formula

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#logic #first-order-logic #tensors #matrix-rank #tensor-rank
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3+ Dimensional Matrices

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#linear-algebra #polynomials #tensor-products #tensors #tensor-rank
27
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Manipulating tensor products

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#tensor-products #tensor-rank
509
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Why are the covariant and contravariant components of the metric tensor defined this way?

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#vector-spaces #inner-products #tensor-products #tensor-rank
131
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For all rank two tensors, is $A:BC = AB^T:C$?

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#matrices #tensors #tensor-rank
201
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How to find eigenvalues and eigenvectors of higher-order tensors?

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#linear-algebra #eigenvalues-eigenvectors #tensors #tensor-rank
268
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tensor product, isotropic

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#tensors #tensor-rank
790
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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
7k
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Actual example of tensor contraction

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#linear-algebra #tensor-products #tensors #tensor-rank #tensor-decomposition
209
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Could a Rank Two Tensor be a Scalar?

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#tensor-products #tensor-rank
134
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Weird Notation for Trace of an Endomorphism

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#linear-algebra #notation #trace #tensor-rank
1.7k
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How is a (0,0) rank tensor a number?

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#tensors #tensor-rank
225
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Can a Rank Three Tensor act as a Trilinear, Bilinear, or Linear Map?

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#multilinear-algebra #tensor-rank
600
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What is a tensor?

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#tensors #tensor-rank
43
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Prove upper bound inequality for the dimension of the space of symmetric tensors

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#inequality #tensor-products #tensors #functional-inequalities #tensor-rank

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