List questions from frechet-derivative

30

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Prove $\partial^q f(x)\in\mathcal{L}^q_{\text{sym}}(X,F) \qquad\text{for}\;x\in X\;\text{and}\;1\leq q\leq m$.

Published on 17 Apr 2026 - 6:14

53

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derivate of a function of 2 variables

Published on 14 Apr 2026 - 6:05

457

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Alternative proof of Taylor's formula by only using the linear approximation property

Published on 12 Apr 2026 - 16:43

63

Views

Find out whether a function of several variables is differentiable

Published on 15 Apr 2026 - 14:53

50

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Upper bound on the trace of k-th Frechet derivative of the matrix function $|x^k|$

Published on 10 May 2026 - 20:17

137

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First order optimality conditions

Published on 10 May 2026 - 20:19

36

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Hypercyclic Vector

Published on 30 Apr 2026 - 13:16

149

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second order derivative of $F(t) = f(x+t,y+t)+f(x-t,y-t)-f(x+t,y-t)-f(x-t,y+t)$

Published on 17 Apr 2026 - 2:53

462

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Functional derivative of norm gradient

Published on 12 Apr 2026 - 6:11

109

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Notation in definition of Fréchet differentiation

Published on 10 Apr 2026 - 19:36

105

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How can we compute the Fréchet derivative of $q\mapsto\int\frac{(pf)^2}q\:{\rm d}\lambda$?

Published on 16 Apr 2026 - 2:10

467

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Frechet distance example

Published on 10 May 2026 - 13:45

49

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If $f:E_1\times E_2\to F$ is Fréchet differentiable at $x$, then ${\rm D}f(x)y={\rm D}_1f(x)y_1+{\rm D}_2f(x)y_2$

Published on 16 Apr 2026 - 14:19

132

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Smooth maps from given manifold into the complex plane: is there a "product rule"?

Published on 11 Apr 2026 - 14:51

599

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Lagrange multipliers on Banach spaces

Published on 14 Apr 2026 - 15:38

List Question

Prove $\partial^q f(x)\in\mathcal{L}^q_{\text{sym}}(X,F) \qquad\text{for}\;x\in X\;\text{and}\;1\leq q\leq m$.

derivate of a function of 2 variables

Alternative proof of Taylor's formula by only using the linear approximation property

Find out whether a function of several variables is differentiable

Upper bound on the trace of k-th Frechet derivative of the matrix function $|x^k|$

First order optimality conditions

Hypercyclic Vector

second order derivative of $F(t) = f(x+t,y+t)+f(x-t,y-t)-f(x+t,y-t)-f(x-t,y+t)$

Functional derivative of norm gradient

Notation in definition of Fréchet differentiation

How can we compute the Fréchet derivative of $q\mapsto\int\frac{(pf)^2}q\:{\rm d}\lambda$?

Frechet distance example

If $f:E_1\times E_2\to F$ is Fréchet differentiable at $x$, then ${\rm D}f(x)y={\rm D}_1f(x)y_1+{\rm D}_2f(x)y_2$

Smooth maps from given manifold into the complex plane: is there a "product rule"?

Lagrange multipliers on Banach spaces

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