Question

$\partial U$ is a smooth curve (i.e., the image of a smooth path $\mathbf{c}$ with $\mathbf{c}' \not= 0$)?

score 234 · Answer 1 · 2026-05-05 20:15:04

234

Views

$\partial U$ is a smooth curve (i.e., the image of a smooth path $\mathbf{c}$ with $\mathbf{c}' \not= 0$)?

Published on 05 May 2026 - 20:15

score 59 · Answer 2 · 2026-05-05 20:15:05

59

Views

Properties of Complex Function $f(z)=e^{-\frac{1}{z^{1/3}}}$

Published on 05 May 2026 - 20:15

score 700 · Answer 3 · 2026-05-05 20:15:03

700

Views

How to check the smoothness of the following function?

Published on 05 May 2026 - 20:15

score 27 · Answer 4 · 2026-05-05 20:15:05

27

Views

Constructing a uniform convergence sequence

Published on 05 May 2026 - 20:15

score 260 · Answer 5 · 2026-05-05 20:15:04

260

Views

Find linear transformation whose kernel is given

Published on 05 May 2026 - 20:15

score 72 · Answer 6 · 2026-05-05 20:15:03

72

Views

Existence of a $C_c^{\infty}$ function $\Phi$ s.t. $\int \nabla \Phi \neq 0.$

Published on 05 May 2026 - 20:15

score 82 · Answer 7 · 2026-05-05 20:15:03

82

Views

Is there a function for which the sum converges while the limit diverges?

Published on 05 May 2026 - 20:15

score 1.4k · Answer 8 · 2026-05-05 20:15:04

1.4k

Views

Constant Rank Theorem for Manifolds with Boundary

Published on 05 May 2026 - 20:15

score 71 · Answer 9 · 2026-05-10 15:32:44

71

Views

Proof that β-function ∈ C^∞

Published on 10 May 2026 - 15:32

score 53 · Answer 10 · 2026-05-05 20:15:04

53

Views

For a convex function $f$, is the following set convex: $X := \{x ∶ -f(x) \leq 1 \}$?

Published on 05 May 2026 - 20:15

score 517 · Answer 11 · 2026-05-05 20:13:34

517

Views

Proving Hopf's Fibration $\pi: \mathbb{S}^{2n+1}\to\mathbb{CP}^n$ is a submersion

Published on 05 May 2026 - 20:13

score 200 · Answer 12 · 2026-05-05 20:14:36

200

Views

Finding perpendicular unit vector in $\mathbb{R}^n$ to hyperplane

Published on 05 May 2026 - 20:14

score 156 · Answer 13 · 2026-05-10 15:52:02

156

Views

Bounding the extrema of polynomials from $\frac{d^n}{dx^n} \exp(-1/x)$

Published on 10 May 2026 - 15:52

score 753 · Answer 14 · 2026-05-05 20:13:34

753

Views

If $f:\mathbb{R}\to\mathbb{R}$ is infinitely-differentiable, and $f(x+y)-f(y-x)=2xf^\prime(y)$, then it is a polynomial of degree less than $2$

Published on 05 May 2026 - 20:13

score 79 · Answer 15 · 2026-05-05 20:15:03

79

Views

Approximating Sobolev functions in $W^{1,p}(\mathbb{R}_+^n)$

Published on 05 May 2026 - 20:15

List Question

$\partial U$ is a smooth curve (i.e., the image of a smooth path $\mathbf{c}$ with $\mathbf{c}' \not= 0$)?

Properties of Complex Function $f(z)=e^{-\frac{1}{z^{1/3}}}$

How to check the smoothness of the following function?

Constructing a uniform convergence sequence

Find linear transformation whose kernel is given

Existence of a $C_c^{\infty}$ function $\Phi$ s.t. $\int \nabla \Phi \neq 0.$

Is there a function for which the sum converges while the limit diverges?

Constant Rank Theorem for Manifolds with Boundary

Proof that β-function ∈ C^∞

For a convex function $f$, is the following set convex: $X := \{x ∶ -f(x) \leq 1 \}$?

Proving Hopf's Fibration $\pi: \mathbb{S}^{2n+1}\to\mathbb{CP}^n$ is a submersion

Finding perpendicular unit vector in $\mathbb{R}^n$ to hyperplane

Bounding the extrema of polynomials from $\frac{d^n}{dx^n} \exp(-1/x)$

If $f:\mathbb{R}\to\mathbb{R}$ is infinitely-differentiable, and $f(x+y)-f(y-x)=2xf^\prime(y)$, then it is a polynomial of degree less than $2$

Approximating Sobolev functions in $W^{1,p}(\mathbb{R}_+^n)$

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