Question

Determine the tangent space of the boundary of a manifold of the form $f(\mathbb R^d)$ for a differentiable $f$

score 85 · Answer 1 · 2026-03-27 10:12:04

85

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Determine the tangent space of the boundary of a manifold of the form $f(\mathbb R^d)$ for a differentiable $f$

Published on 27 Mar 2026 - 10:12

score 57 · Answer 2 · 2021-03-16 14:40:11

57

Views

Fréchet derivative of scalarfield operator $ f \mapsto \nabla f \cdot \sigma $?

Published on 16 Mar 2021 - 14:40

score 32 · Answer 3 · 2021-04-05 13:22:44

32

Views

How to understand this equation $L(L^2(a,b), \mathbb{R}) = L^2(a,b)$?

Published on 05 Apr 2021 - 13:22

score 550 · Answer 4 · 2021-04-09 19:09:48

550

Views

Is there a Fréchet Derivative for the Norm on a Complex Hilbert Space?

Published on 09 Apr 2021 - 19:09

score 151 · Answer 5 · 2026-02-24 02:11:57

151

Views

Chain rule involving Fréchet derivative

Published on 24 Feb 2026 - 2:11

score 19 · Answer 6 · 2021-04-19 18:11:15

19

Views

If $f \in W^{1, 1}(\mathbb{R}^n)$ then $\theta \mapsto f \circ (Id + \theta)$ is differentiable

Published on 19 Apr 2021 - 18:11

score 213 · Answer 7 · 2026-03-25 23:53:05

213

Views

Fréchet derivative of a (nonlinear) differential operator

Published on 25 Mar 2026 - 23:53

score 654 · Answer 8 · 2026-03-28 08:31:09

654

Views

Example of function that is Gâteaux-differentiable but not Fréchet-differentiable

Published on 28 Mar 2026 - 8:31

score 68 · Answer 9 · 2021-05-01 20:58:12

68

Views

Fréchet derivatives for $f: \mathbb{R}^{d\times d} \rightarrow \mathbb{R}^{d\times d}_{sim}$

Published on 01 May 2021 - 20:58

score 89 · Answer 10 · 2021-05-18 04:39:01

89

Views

Existence of Frechet Derivative of Log-Normalizer for Exponential Family Type Distribution

Published on 18 May 2021 - 4:39

score 24 · Answer 11 · 2026-03-27 08:46:56

24

Views

Range preserving matrix derivative

Published on 27 Mar 2026 - 8:46

score 401 · Answer 12 · 2026-03-27 08:42:56

401

Views

Is the sine operator on $L^2[0,1]$ Fréchet differentiable or not and why?

Published on 27 Mar 2026 - 8:42

score 94 · Answer 13 · 2021-05-30 00:20:21

94

Views

If a function is separately differentiable is it diferentiable?

Published on 30 May 2021 - 0:20

score 405 · Answer 14 · 2026-03-27 08:46:06

405

Views

In which points is the supremum norm on $C[0,1]$ and $c_0$, respectively, Gâteaux/Fréchet differentiable?

Published on 27 Mar 2026 - 8:46

score 206 · Answer 15 · 2026-03-27 08:45:59

206

Views

Proof that, if the norm of any normed space is (Fréchet) differentiable, then the derivative is continuous.

Published on 27 Mar 2026 - 8:45

List Question

Determine the tangent space of the boundary of a manifold of the form $f(\mathbb R^d)$ for a differentiable $f$

Fréchet derivative of scalarfield operator $ f \mapsto \nabla f \cdot \sigma $?

How to understand this equation $L(L^2(a,b), \mathbb{R}) = L^2(a,b)$?

Is there a Fréchet Derivative for the Norm on a Complex Hilbert Space?

Chain rule involving Fréchet derivative

If $f \in W^{1, 1}(\mathbb{R}^n)$ then $\theta \mapsto f \circ (Id + \theta)$ is differentiable

Fréchet derivative of a (nonlinear) differential operator

Example of function that is Gâteaux-differentiable but not Fréchet-differentiable

Fréchet derivatives for $f: \mathbb{R}^{d\times d} \rightarrow \mathbb{R}^{d\times d}_{sim}$

Existence of Frechet Derivative of Log-Normalizer for Exponential Family Type Distribution

Range preserving matrix derivative

Is the sine operator on $L^2[0,1]$ Fréchet differentiable or not and why?

If a function is separately differentiable is it diferentiable?

In which points is the supremum norm on $C[0,1]$ and $c_0$, respectively, Gâteaux/Fréchet differentiable?

Proof that, if the norm of any normed space is (Fréchet) differentiable, then the derivative is continuous.

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