Question

Prove that the element $(0,1)$ has infinite many best approximations in the linear subspace $B=\{ (x,x)| x\in\mathbb{R} \}$

score 51 · Answer 1 · 2021-03-31 13:39:09

51

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Prove that the element $(0,1)$ has infinite many best approximations in the linear subspace $B=\{ (x,x)| x\in\mathbb{R} \}$

Published on 31 Mar 2021 - 13:39

score 32 · Answer 2 · 2026-03-27 01:46:30

32

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Why are continuous partial derivatives up to order two (rather than one) of nonlinear autonomous (2D) systems sufficient for linear approximation?

Published on 27 Mar 2026 - 1:46

score 62 · Answer 3 · 2021-04-12 16:55:17

62

Views

Intuition behind regularization of non-coercive variational inequalities

Published on 12 Apr 2021 - 16:55

score 505 · Answer 4 · 2026-03-27 01:43:21

505

Views

Linearization of a fixed point (dynamical systems)

Published on 27 Mar 2026 - 1:43

score 46 · Answer 5 · 2026-03-27 04:18:50

46

Views

What is the classification of the bifurcation of a tent map?

Published on 27 Mar 2026 - 4:18

score 27 · Answer 6 · 2021-04-21 18:44:10

27

Views

If $f(t) = a_0 + a_1 t + a_2 t^2+\mathcal O(t^3)$, what does the condition $|a_1|/|a_2| > 1$ signify geometrically / analytically?

Published on 21 Apr 2021 - 18:44

score 238 · Answer 7 · 2026-03-27 03:42:25

238

Views

How to know when a transcritical bifurcation occurs (Example 3.2.1 Strogaz Nonlinear Dynamics and chaos)

Published on 27 Mar 2026 - 3:42

score 133 · Answer 8 · 2021-05-04 11:39:16

133

Views

SPECIAL CASE first order PDE, characteristic curves method

Published on 04 May 2021 - 11:39

score 23 · Answer 9 · 2021-05-21 07:25:16

23

Views

Range preserving matrix derivative

Published on 21 May 2021 - 7:25

score 479 · Answer 10 · 2021-05-23 07:59:30

479

Views

How to find a quadratic convergence function on fixed point iteration method on root finding?

Published on 23 May 2021 - 7:59

score 400 · Answer 11 · 2021-05-24 20:35:45

400

Views

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

Published on 24 May 2021 - 20:35

score 142 · Answer 12 · 2026-03-25 23:22:52

142

Views

Example for an operator that is strictly monotone but not maximally monotone (or the other way)

Published on 25 Mar 2026 - 23:22

score 52 · Answer 13 · 2021-05-28 22:42:33

52

Views

How to prove the optimal solution exists for a nonlinear optimal control problem?

Published on 28 May 2021 - 22:42

score 404 · Answer 14 · 2021-05-31 16:33:55

404

Views

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

Published on 31 May 2021 - 16:33

score 205 · Answer 15 · 2021-05-31 22:32:18

205

Views

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

Published on 31 May 2021 - 22:32

List Question

Prove that the element $(0,1)$ has infinite many best approximations in the linear subspace $B=\{ (x,x)| x\in\mathbb{R} \}$

Why are continuous partial derivatives up to order two (rather than one) of nonlinear autonomous (2D) systems sufficient for linear approximation?

Intuition behind regularization of non-coercive variational inequalities

Linearization of a fixed point (dynamical systems)

What is the classification of the bifurcation of a tent map?

If $f(t) = a_0 + a_1 t + a_2 t^2+\mathcal O(t^3)$, what does the condition $|a_1|/|a_2| > 1$ signify geometrically / analytically?

How to know when a transcritical bifurcation occurs (Example 3.2.1 Strogaz Nonlinear Dynamics and chaos)

SPECIAL CASE first order PDE, characteristic curves method

Range preserving matrix derivative

How to find a quadratic convergence function on fixed point iteration method on root finding?

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

Example for an operator that is strictly monotone but not maximally monotone (or the other way)

How to prove the optimal solution exists for a nonlinear optimal control problem?

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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