List questions from scalar-fields

Published on 10 May 2026 - 13:48

47

Views

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

Published on 17 Apr 2026 - 3:49

98

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

Published on 10 May 2026 - 11:25

782

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

Published on 24 Mar 2026 - 22:08

58

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

Published on 29 Apr 2026 - 12:28

311

Views

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 24 Mar 2026 - 22:07

38

Views

Vector as a part of function

Published on 17 Apr 2026 - 3:05

178

Views

Curl And Potential

Published on 10 May 2026 - 14:47

1.3k

Views

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

Published on 17 Apr 2026 - 14:52

3.7k

Views

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

Published on 15 Apr 2026 - 0:59

19

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

Published on 10 Apr 2026 - 1:25

113

Views

Derivative of trace of $A^\top A$

Published on 17 Apr 2026 - 3:10

79

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 10 May 2026 - 13:51

574

Views

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

Published on 15 Apr 2026 - 18:20

46

Views

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

Published on 14 Apr 2026 - 3:01

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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