Question

In general, what is the rank of a differential form?

score 772 · Answer 1 · 2026-02-23 09:49:33

772

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In general, what is the rank of a differential form?

Published on 23 Feb 2026 - 9:49

score 277 · Answer 2 · 2026-02-23 09:43:51

277

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Maps that preserve tensor rank

Published on 23 Feb 2026 - 9:43

score 66 · Answer 3 · 2026-02-23 09:44:47

66

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Can the following simple tensor preserving map exist?

Published on 23 Feb 2026 - 9:44

score 68 · Answer 4 · 2026-02-23 09:50:34

if $\mathrm{rank}(A)=m$ and $\mathrm{rank}(B)=n$, is that true that $\mathrm{rank}(A\otimes B)$ equal to $\mathrm{rank}(A)*\mathrm{rank}(B)$?

score 4.3k · Answer 5 · 2026-02-23 09:43:52

4.3k

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How to compute tensor product between two functions

Published on 23 Feb 2026 - 9:43

score 242 · Answer 6 · 2026-02-23 09:48:02

242

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$d \times d \times d$ tensor rank vs $d \times d$ tensor rank

Published on 23 Feb 2026 - 9:48

score 351 · Answer 7 · 2026-02-23 09:48:02

351

Views

Border rank of tensors

Published on 23 Feb 2026 - 9:48

score 52 · Answer 8 · 2026-02-23 09:51:10

52

Views

Is there any clue for the supremum of projective norm in an unit ball of injective tensor product space

Published on 23 Feb 2026 - 9:51

score 1.4k · Answer 9 · 2026-02-23 09:49:32

1.4k

Views

How many components of an antisymmetric rank five tensor on $ \mathbb{R}^5 $ are independent?

Published on 23 Feb 2026 - 9:49

score 476 · Answer 10 · 2026-02-23 09:49:32

476

Views

Can we get a tensor out of summation of one vector with its transpose?

Published on 23 Feb 2026 - 9:49

score 228 · Answer 11 · 2026-02-23 09:49:14

228

Views

Why the trace norm of a tensor is a good approximation to its rank?

Published on 23 Feb 2026 - 9:49

score 84 · Answer 12 · 2026-02-23 09:50:50

84

Views

Is $\max_{\|x\|_p=\|y\|_p=1} |\langle x, Ay\rangle|$ equivalent to $\max_{\|x\|_p=|} |\langle x, Ax\rangle|$ for symmetric $A$ & $p\geq 2$?

Published on 23 Feb 2026 - 9:50

score 127 · Answer 13 · 2026-04-05 06:17:24

127

Views

Why is lowering and raising index not affecting the value of a tensor?

Published on 05 Apr 2026 - 6:17

score 364 · Answer 14 · 2026-04-02 20:35:58

364

Views

Since the variance matrix is the expected value of a dyadic tensor, why is it not singular? Which is the probabilistic property behind that?

Published on 02 Apr 2026 - 20:35

score 96 · Answer 15 · 2026-02-23 09:45:09

96

Views

Is a $1^{\mathrm{st}}$ rank tensor identical to a vector?

Published on 23 Feb 2026 - 9:45

List Question

In general, what is the rank of a differential form?

Maps that preserve tensor rank

Can the following simple tensor preserving map exist?

if $\mathrm{rank}(A)=m$ and $\mathrm{rank}(B)=n$, is that true that $\mathrm{rank}(A\otimes B)$ equal to $\mathrm{rank}(A)*\mathrm{rank}(B)$?

How to compute tensor product between two functions

$d \times d \times d$ tensor rank vs $d \times d$ tensor rank

Border rank of tensors

Is there any clue for the supremum of projective norm in an unit ball of injective tensor product space

How many components of an antisymmetric rank five tensor on $ \mathbb{R}^5 $ are independent?

Can we get a tensor out of summation of one vector with its transpose?

Why the trace norm of a tensor is a good approximation to its rank?

Is $\max_{\|x\|_p=\|y\|_p=1} |\langle x, Ay\rangle|$ equivalent to $\max_{\|x\|_p=|} |\langle x, Ax\rangle|$ for symmetric $A$ & $p\geq 2$?

Why is lowering and raising index not affecting the value of a tensor?

Since the variance matrix is the expected value of a dyadic tensor, why is it not singular? Which is the probabilistic property behind that?

Is a $1^{\mathrm{st}}$ rank tensor identical to a vector?

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