List questions from scalar-fields

Published on 21 Feb 2021 - 20:41

77

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Strongest increase of a gradient $f(x,y)$ at the position $x_0$

Published on 22 Feb 2021 - 13:17

218

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Partial derivatives of $|Ax - b|^2$?

Published on 03 Mar 2021 - 7:13

144

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Why is the gradient of this determinant, $\det(I - AA^\dagger)$, off by factor of $2$?

Published on 12 Mar 2021 - 22:10

421

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Gradient of a quadratic form with respect to a complex vector

Published on 15 Mar 2021 - 13:33

118

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Limit $\lim_{(x,y)\to(0,0)}\frac{-16x^3y^3}{(x^4+2y^2)^2}$

Published on 17 Mar 2021 - 9:16

170

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Regarding convex functions that attain infimum at infinity

Published on 19 Mar 2021 - 19:40

39

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A simple question regarding complex matrix differentiation

Published on 20 Mar 2021 - 13:13

240

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Finding the gradient of $f(x,y)=\max \{|x|,|y| \}$

Published on 25 Mar 2026 - 9:10

230

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Give an $\delta-\epsilon$ proof that the function $f:\mathbb{R}^3\to\mathbb{R}$ defined by $f(x,y,z)=x^2y+2xz^2$ is continuous at $(1,1,1)$

Published on 22 Mar 2021 - 16:55

134

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Finding the gradient of $(,)=\max\{||,||\}$ for $|x|=|y|$

Published on 25 Mar 2026 - 9:09

109

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Gradient of least-squares cost — how to compute it?

Published on 23 Mar 2021 - 22:30

99

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How to differentiate 2nd order Taylor expansion of scalar field?

Published on 29 Mar 2021 - 5:13

50

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Which types of matrices conserve the gradient operator?

Published on 01 Apr 2021 - 20:24

153

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How to determine the number of critical points a polynomial scalar field has?

Published on 25 Mar 2026 - 18:57

List Question

Derivative of trace involving Hadamard product

Strongest increase of a gradient $f(x,y)$ at the position $x_0$

Partial derivatives of $|Ax - b|^2$?

Why is the gradient of this determinant, $\det(I - AA^\dagger)$, off by factor of $2$?

Gradient of a quadratic form with respect to a complex vector

Limit $\lim_{(x,y)\to(0,0)}\frac{-16x^3y^3}{(x^4+2y^2)^2}$

Regarding convex functions that attain infimum at infinity

A simple question regarding complex matrix differentiation

Finding the gradient of $f(x,y)=\max \{|x|,|y| \}$

Give an $\delta-\epsilon$ proof that the function $f:\mathbb{R}^3\to\mathbb{R}$ defined by $f(x,y,z)=x^2y+2xz^2$ is continuous at $(1,1,1)$

Finding the gradient of $(,)=\max\{||,||\}$ for $|x|=|y|$

Gradient of least-squares cost — how to compute it?

How to differentiate 2nd order Taylor expansion of scalar field?

Which types of matrices conserve the gradient operator?

How to determine the number of critical points a polynomial scalar field has?

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