List questions from tensors

Published on 25 May 2020 - 17:44

47

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Find orthonormal $\{b_i\}$ such that $\mathcal{A} = \sum_i \sum_j \lambda_i \mu_j b_i b_j^T$

Published on 23 Feb 2026 - 3:50

43

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Prove ${\bf u}.{\bf Tv} = ({\bf u} \otimes {\bf v}) : {\bf T}$

Published on 26 May 2020 - 14:04

29

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Is the canonical isomorphism $\mathbb R^m\otimes\mathbb R^n\to\mathbb R^{m\times n}$ isometric with respect to the Frobenius norm?

Published on 26 Mar 2026 - 4:35

72

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Rearranging linear system containing a symmetric matrix

Published on 29 Mar 2026 - 4:09

73

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What is the definition of $\nabla \cdot(\vec{x}\times\textbf{T})$?

Published on 27 Mar 2026 - 0:04

78

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Silly doubt on differential forms notation

Published on 26 Mar 2026 - 23:02

298

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Help with differentiation chain rule with tensors in backpropagation

Published on 01 Jun 2020 - 16:26

205

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How to taylor expand a tensor?

Published on 01 Jun 2020 - 20:00

108

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Average of a tensor with respect to a group action

Published on 23 Feb 2026 - 10:02

116

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Show that $( \nabla \times {\bf G} ) {\bf v} = \nabla \times ({\bf G}^T {\bf v})$ (curl formula)

Published on 26 Mar 2026 - 6:22

135

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What is $dudv$ in the metric tensor?

Published on 04 Jun 2020 - 22:59

233

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What is this tensor operation called?

Published on 05 Jun 2020 - 8:28

429

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Riemann Curvature of SO(3)

Published on 28 Mar 2026 - 2:23

322

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Differentiation of dirac delta function

Published on 28 Mar 2026 - 17:05

List Question

Tensor contraction exercsie

Find orthonormal $\{b_i\}$ such that $\mathcal{A} = \sum_i \sum_j \lambda_i \mu_j b_i b_j^T$

Prove ${\bf u}.{\bf Tv} = ({\bf u} \otimes {\bf v}) : {\bf T}$

Is the canonical isomorphism $\mathbb R^m\otimes\mathbb R^n\to\mathbb R^{m\times n}$ isometric with respect to the Frobenius norm?

Rearranging linear system containing a symmetric matrix

What is the definition of $\nabla \cdot(\vec{x}\times\textbf{T})$?

Silly doubt on differential forms notation

Help with differentiation chain rule with tensors in backpropagation

How to taylor expand a tensor?

Average of a tensor with respect to a group action

Show that $( \nabla \times {\bf G} ) {\bf v} = \nabla \times ({\bf G}^T {\bf v})$ (curl formula)

What is $dudv$ in the metric tensor?

What is this tensor operation called?

Riemann Curvature of SO(3)

Differentiation of dirac delta function

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