Claudio Moneo's user avatar
Claudio Moneo's user avatar
Claudio Moneo's user avatar
Claudio Moneo
  • Member for 6 years, 8 months
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  • London
10 votes

Counter example of rellich-kondrachov compact embedding theorem on unbounded domain

5 votes

Is it possible that $|| f^{(n)} ||_1 \to \infty$ exponentially for a compactly supported $C^\infty$-functions?

5 votes
Accepted

Uniformly continuous and integrable function $f:[0,\infty)\to (0,\infty)$ with $\lim_{t\to\infty}f(t)=C$ satisfies $\sum_{n=1}^\infty f(n)=\infty$

4 votes

Norm equivalences of $L_2$ and $L_\infty$ spaces of measurable function

4 votes
Accepted

$u\in H^1(\mathbb{R}^N)\cap C^1 \Rightarrow u$ vanishes at infinity?

4 votes

Do Neural Networks "Approximate Functions" or "Represent Functions"?

4 votes
Accepted

Smooth traversal of 𝑆𝑂(𝑛)

4 votes
Accepted

Sobolev Embedding into $L^{\infty}$

3 votes
Accepted

$L^p-$bound of the gradient

3 votes
Accepted

$W^2_0$ Poincaré inequality

3 votes
Accepted

It is true that this integral converges to $0$?

3 votes
Accepted

Expected stopping time of Brownian motion breaking out of [a,-b] channel

3 votes

Prove a nested sequence of functions converges pointwise but it doesnt converges uniformly.

3 votes

Paradox? law of large numbers vs option theory

2 votes

Let $f:(-1,1) \rightarrow \mathbb{R}$ be continuous at $0$. If $f(x)=f(x^2)$ for all $x \in (-1,1)$, prove that $f(x)=f(0)$ for all $x \in (-1,1)$.

2 votes

If $\mathbb{P}(A_n)\to 0$, prove that $\int\limits_{A_n}X\mathrm{d}\mathbb{P}\to 0.$

2 votes
Accepted

Limit of sequence of Lebesgue integrals over symmetric domains

2 votes
Accepted

Convergence in Probability question.

2 votes
Accepted

Necessary and sufficient condition for convergence of series

2 votes
Accepted

Equivalent condition for compact support

2 votes

Meaning of the p-value

2 votes
Accepted

Infinitesimal Generator of semigroup for markov chain

2 votes

How do you find the expectation of a random variable involving a function of Brownian motions?

2 votes
Accepted

Must continuous $H^1(\mathbb{R}^2)$ function tend to zero at infinity?

2 votes
Accepted

Proving a subset of $H^1(\mathbb{R}^d)$ is compactly embedded in $L^2(\mathbb{R}^d)$.

2 votes
Accepted

Use of the Lax-Milgram Theorem in Evans' book to prove the First Existence Theorem for weak solutions

2 votes
Accepted

Does $W^{1,2}$ convergence on compact subsets imply convergence on the entire domain?

2 votes

Showing this to $1 \leq p < \infty$

2 votes

what are the benefits of using Spectral K-means over Simple K-means ? and how Spectral K-means overcomes the local minimum problem of K-means?

2 votes

Why do we need Poincaré inequality to deduce the equivalence of the norms $\|\cdot\|_{H^1_0}$ and $\|\cdot\|_{H^1}$ on $H^1_0(\Omega)$?