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Reference request: Book on theory of rank of matrices and multi-linear operators!

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#reference-request #matrix-rank #multilinear-algebra #tensor-rank
79
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Understanding the Definition of a Rank-1 Tensor

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#definition #tensors #tensor-rank #tensor-decomposition
49
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Algebra equation for 3 rank tensor

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#linear-algebra #mathematical-physics #tensors #tensor-rank #tensor-decomposition
57
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Show that $T_{ijk}V_k$ is a second rank tensor in 3D space

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#linear-algebra #tensors #tensor-rank
45
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Misunderstanding Einstein notation

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#vectors #tensors #vector-fields #tensor-rank #einstein-notation
52
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connection between $x\otimes f$ and rank-one operators

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#functional-analysis #operator-theory #tensor-rank
74
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Interpretation of $(2,0)$-tensors

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#linear-algebra #tensors #tensor-rank
28
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tensors of type $(q,r)$ contra-variant and co-variant

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#derivatives #tensors #tensor-rank #global-analysis
84
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Did I perform the partial derivative correctly?

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#partial-derivative #tensor-products #tensors #tensor-rank
65
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Why can we substitute $ V_{\mu \nu} $ to $ V_{\mu ; \nu} $ while inducing contracted Bianchi identity?

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#differential-geometry #tensor-products #tensors #tensor-rank #outer-product
213
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Vectors and Tensors

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#tensor-products #tensors #tensor-rank
10.6k
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Why is a linear transformation a $(1,1)$ tensor?

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#tensors #tensor-rank
817
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How to prove that below quantity is a Third Rank Tensor

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#tensors #multilinear-algebra #tensor-rank
170
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What is the prerequisiste to study Tensors for application in signal processing?

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#linear-algebra #tensor-products #tensors #multilinear-algebra #tensor-rank
263
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Pullbacks of symmetric tensors commute with products

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