Question

Prove upper bound inequality for the dimension of the space of symmetric tensors

score 50 · Answer 1 · 2026-03-22 22:11:05

50

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Prove upper bound inequality for the dimension of the space of symmetric tensors

Published on 22 Mar 2026 - 22:11

score 160 · Answer 2 · 2018-10-22 09:53:46

160

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Why is there a difference in notation between vectors?

Published on 22 Oct 2018 - 9:53

score 49 · Answer 3 · 2018-10-22 14:59:02

49

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Derivative of $2$nd order tensor is $3$rd order tensor (proof)

Published on 22 Oct 2018 - 14:59

score 336 · Answer 4 · 2018-10-22 15:47:21

336

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Zero tensor is the same for every coordinate system (proof)

Published on 22 Oct 2018 - 15:47

score 12.7k · Answer 5 · 2018-10-24 00:11:52

12.7k

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Dot product of the vector r and second order tensor

Published on 24 Oct 2018 - 0:11

score 880 · Answer 6 · 2018-10-24 02:44:06

880

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Cross product of the vector r and second order tensor

Published on 24 Oct 2018 - 2:44

score 1k · Answer 7 · 2018-10-25 16:35:23

1k

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Christoffel symbols and torsion of the connection

Published on 25 Oct 2018 - 16:35

score 546 · Answer 8 · 2026-03-21 19:34:10

546

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Maximum tensor rank

Published on 21 Mar 2026 - 19:34

score 141 · Answer 9 · 2026-02-23 00:06:36

141

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Maximal rank of tensors in $F^n\otimes ...\otimes F^n$.

Published on 23 Feb 2026 - 0:06

score 43 · Answer 10 · 2018-11-01 07:18:57

43

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Prove of some vector's differential relations

Published on 01 Nov 2018 - 7:18

score 33 · Answer 11 · 2026-03-25 12:51:03

33

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Show that $\nabla^{2}\left ( x_{i}x_{j}r^{n} \right ) = 2\delta _{ij}r^{n}+n\left ( n+5 \right )x_{i}x_{j}r^{n-2}$

Published on 25 Mar 2026 - 12:51

score 50 · Answer 12 · 2026-03-25 07:43:14

50

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Linearity of a map demonstrates that the tensor must have one vector space

Published on 25 Mar 2026 - 7:43

score 242 · Answer 13 · 2026-03-25 04:35:17

242

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Coordinate systems and derivative operators

Published on 25 Mar 2026 - 4:35

score 424 · Answer 14 · 2026-02-23 00:48:14

424

Views

Show that the derivative of a second order tensor gives a third order tensor

Published on 23 Feb 2026 - 0:48

score 45 · Answer 15 · 2026-03-25 04:40:16

45

Views

Expressing the coordinate dependent and indepent forms of the $(0,1)$ tensor in different coordinate systems

Published on 25 Mar 2026 - 4:40

List Question

Prove upper bound inequality for the dimension of the space of symmetric tensors

Why is there a difference in notation between vectors?

Derivative of $2$nd order tensor is $3$rd order tensor (proof)

Zero tensor is the same for every coordinate system (proof)

Dot product of the vector r and second order tensor

Cross product of the vector r and second order tensor

Christoffel symbols and torsion of the connection

Maximum tensor rank

Maximal rank of tensors in $F^n\otimes ...\otimes F^n$.

Prove of some vector's differential relations

Show that $\nabla^{2}\left ( x_{i}x_{j}r^{n} \right ) = 2\delta _{ij}r^{n}+n\left ( n+5 \right )x_{i}x_{j}r^{n-2}$

Linearity of a map demonstrates that the tensor must have one vector space

Coordinate systems and derivative operators

Show that the derivative of a second order tensor gives a third order tensor

Expressing the coordinate dependent and indepent forms of the $(0,1)$ tensor in different coordinate systems

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