List questions from scalar-fields

Published on 22 Mar 2026 - 12:15

45

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Derivative of $f({Z}) = Tr({Z}{U}^T{Z}^T{Z}{U}{Z}^T)$

Published on 06 May 2018 - 2:56

84

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What is $\mathbb{F}^{2, 2}$?

Published on 23 Mar 2026 - 13:27

781

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How is $\nabla_X \operatorname{Tr}\left\{ X^T A X B\right\} = AXB + A^TXB^T$?

Published on 12 May 2018 - 11:18

52

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Examples of generalisations in which $k$-ring might be, for example, a monad ? What are $\textit{scalars}$, really?

Published on 20 Mar 2026 - 7:48

310

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Derivative of $\mbox{tr}\left\{ X^T A X^{-1} B\right\}$ w.r.t. matrix $X$ for a given $A$ and $B$ matrices?

Published on 21 May 2018 - 14:11

35

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Vector as a part of function

Published on 21 Mar 2026 - 19:37

156

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Curl And Potential

Published on 24 Mar 2026 - 0:23

1.3k

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Gradient of $X \mapsto \mbox{Tr} \left(\left(AXA\right)^{\frac{1}{2}}\right)$

Published on 29 May 2018 - 7:19

3.7k

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Derivative of the trace of the product of a matrix and its transpose

Published on 04 Jun 2018 - 16:01

16

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Does a figure which has a contour plot have a systematic function to define it?

Published on 17 Jun 2018 - 9:34

109

Views

Derivative of trace of $A^\top A$

Published on 22 Mar 2026 - 7:03

75

Views

Does it mean " scalar field changes in a particular direction" by that the curl of the gradient of a scalar field is zero in practice?

Published on 19 Jun 2018 - 1:37

571

Views

Derivative of trace of matrix log: $\frac{\partial \ \mbox{tr}(AXB \ \mbox{log}(CXD))}{\partial X}$

Published on 25 Jun 2018 - 13:10

43

Views

New parameter in ODE seems to not affect solution at a point but then contributes a divergence at that point

Published on 27 Jun 2018 - 20:31

List Question

Applying Green's theorem on scalar fields

Derivative of $f({Z}) = Tr({Z}{U}^T{Z}^T{Z}{U}{Z}^T)$

What is $\mathbb{F}^{2, 2}$?

How is $\nabla_X \operatorname{Tr}\left\{ X^T A X B\right\} = AXB + A^TXB^T$?

Examples of generalisations in which $k$-ring might be, for example, a monad ? What are $\textit{scalars}$, really?

Derivative of $\mbox{tr}\left\{ X^T A X^{-1} B\right\}$ w.r.t. matrix $X$ for a given $A$ and $B$ matrices?

Vector as a part of function

Curl And Potential

Gradient of $X \mapsto \mbox{Tr} \left(\left(AXA\right)^{\frac{1}{2}}\right)$

Derivative of the trace of the product of a matrix and its transpose

Does a figure which has a contour plot have a systematic function to define it?

Derivative of trace of $A^\top A$

Does it mean " scalar field changes in a particular direction" by that the curl of the gradient of a scalar field is zero in practice?

Derivative of trace of matrix log: $\frac{\partial \ \mbox{tr}(AXB \ \mbox{log}(CXD))}{\partial X}$

New parameter in ODE seems to not affect solution at a point but then contributes a divergence at that point

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