List questions from scalar-fields

Published on 25 Mar 2026 - 2:57

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Gradient of scalar field $a^T X^{-1} b$

Published on 25 Mar 2026 - 3:02

207

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Gradient of a trace with $\mbox{diag}$ and Kronecker product

Published on 15 Apr 2026 - 9:36

246

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Direction of least change of a scalar/vector function

Published on 25 Mar 2026 - 3:02

245

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Gradient of $x \mapsto \log \left( \det \left( \dfrac {3}{10}I+xx^{T}\right) \right) $

Published on 25 Mar 2026 - 3:03

476

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If scalar field $f(x,y,z)$ is differentiable then the set of point satisfying $f(x,y,z)=c$ ($c$ is constant) is smooth surface?

Published on 25 Mar 2026 - 3:04

69

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Distribution of multiplication over addition in a field.

Published on 25 Mar 2026 - 3:02

35

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Why in $GF(7)$ there are no nonzero elements satisfying $a^2 + b^2 = 0$?

Published on 25 Mar 2026 - 4:39

1k

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Hessian of a quadratic function

Published on 12 Apr 2026 - 0:12

69

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Differentiate matrix quadratic

Published on 12 Apr 2026 - 21:58

6.3k

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Prove that $\nabla_A \mbox{Tr} \left( A A^T \right) = 2A$

Published on 15 Apr 2026 - 4:43

475

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Derivative of the trace of $X^TP^TPX$ with respect to $P$

Published on 13 Apr 2026 - 16:27

176.5k

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Gradient of 2-norm squared

Published on 17 Apr 2026 - 3:03

1.5k

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Derivative of matrix vector dot product with respect to matrix

Published on 14 Apr 2026 - 4:09

1.6k

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Understanding what a gradient vector is

Published on 17 Apr 2026 - 10:39

List Question

Matrix differentiation involving exponential term

Gradient of scalar field $a^T X^{-1} b$

Gradient of a trace with $\mbox{diag}$ and Kronecker product

Direction of least change of a scalar/vector function

Gradient of $x \mapsto \log \left( \det \left( \dfrac {3}{10}I+xx^{T}\right) \right) $

If scalar field $f(x,y,z)$ is differentiable then the set of point satisfying $f(x,y,z)=c$ ($c$ is constant) is smooth surface?

Distribution of multiplication over addition in a field.

Why in $GF(7)$ there are no nonzero elements satisfying $a^2 + b^2 = 0$?

Hessian of a quadratic function

Differentiate matrix quadratic

Prove that $\nabla_A \mbox{Tr} \left( A A^T \right) = 2A$

Derivative of the trace of $X^TP^TPX$ with respect to $P$

Gradient of 2-norm squared

Derivative of matrix vector dot product with respect to matrix

Understanding what a gradient vector is

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