Question

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

score 229 · Answer 1 · 2018-11-11 13:38:38

229

Views

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

Published on 11 Nov 2018 - 13:38

score 57 · Answer 2 · 2026-03-25 04:40:11

57

Views

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

Published on 25 Mar 2026 - 4:40

score 695 · Answer 3 · 2018-11-14 11:12:20

695

Views

How to check the smoothness of the following function?

Published on 14 Nov 2018 - 11:12

score 21 · Answer 4 · 2026-02-23 08:28:37

21

Views

Constructing a uniform convergence sequence

Published on 23 Feb 2026 - 8:28

score 254 · Answer 5 · 2018-11-20 20:11:37

254

Views

Find linear transformation whose kernel is given

Published on 20 Nov 2018 - 20:11

score 66 · Answer 6 · 2018-11-21 04:02:54

66

Views

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

Published on 21 Nov 2018 - 4:02

score 76 · Answer 7 · 2018-11-22 01:20:10

76

Views

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

Published on 22 Nov 2018 - 1:20

score 1.4k · Answer 8 · 2026-03-25 11:01:25

1.4k

Views

Constant Rank Theorem for Manifolds with Boundary

Published on 25 Mar 2026 - 11:01

score 62 · Answer 9 · 2018-11-29 06:19:43

62

Views

Proof that β-function ∈ C^∞

Published on 29 Nov 2018 - 6:19

score 48 · Answer 10 · 2018-11-30 09:45:08

48

Views

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

Published on 30 Nov 2018 - 9:45

score 514 · Answer 11 · 2026-03-26 08:03:41

514

Views

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

Published on 26 Mar 2026 - 8:03

score 195 · Answer 12 · 2018-12-02 15:30:20

195

Views

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

Published on 02 Dec 2018 - 15:30

score 151 · Answer 13 · 2026-03-25 01:27:58

151

Views

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

Published on 25 Mar 2026 - 1:27

score 749 · Answer 14 · 2018-12-05 15:56:43

749

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 Dec 2018 - 15:56

score 74 · Answer 15 · 2018-12-10 09:08:08

74

Views

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

Published on 10 Dec 2018 - 9:08

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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