Davide Giraudo's user avatar
Davide Giraudo's user avatar
Davide Giraudo's user avatar
Davide Giraudo
  • Member for 12 years, 7 months
  • Last seen this week
246 votes
Accepted

Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$

206 votes
Accepted

Limit of $L^p$ norm

84 votes
Accepted

Monotone Convergence Theorem for non-negative decreasing sequence of measurable functions

79 votes
Accepted

Proof of Frullani's theorem

76 votes

Is there a bijective map from $(0,1)$ to $\mathbb{R}$?

73 votes

$L^p$ and $L^q$ space inclusion

73 votes
Accepted

Does $ \int_0^{\infty}\frac{\sin x}{x}dx $ have an improper Riemann integral or a Lebesgue integral?

61 votes
Accepted

Find the limit $\lim \limits_{n\to \infty }\cos \left(\pi\sqrt{n^{2}-n} \right)$

60 votes
Accepted

Is the product of two Gaussian random variables also a Gaussian?

58 votes
Accepted

Bounded variation, difference of two increasing functions

56 votes
Accepted

Steinhaus theorem (sums version)

53 votes
Accepted

"Every linear mapping on a finite dimensional space is continuous"

46 votes

Convergence of random variables in probability but not almost surely.

45 votes
Accepted

Approximating a $\sigma$-algebra by a generating algebra

45 votes
Accepted

How to show path-connectedness of $GL(n,\mathbb{C})$

45 votes
Accepted

Prove the map has a fixed point

44 votes
Accepted

Prove: $\int_0^\infty \sin (x^2) \, dx$ converges.

43 votes
Accepted

Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$

34 votes

Derivative of convolution

33 votes
Accepted

Strong and weak convergence in $\ell^1$

33 votes
Accepted

Max dimension of a subspace of singular $n\times n$ matrices

30 votes
Accepted

Matrix exponential convergence

29 votes
Accepted

Continuous functions on $[0,1]$ is dense in $L^p[0,1]$ for $1\leq p< \infty$

29 votes

Does $\sum\limits_{n=1}^\infty\frac{1}{\sqrt{n}+\sqrt{n+1}}$ converge?

29 votes
Accepted

Showing $\left|\frac{a+b}{2}\right|^p+\left|\frac{a-b}{2}\right|^p\leq\frac{1}{2}|a|^p+\frac{1}{2}|b|^p$

29 votes
Accepted

Convergence in measure of products

28 votes

Number of $\sigma$ -Algebra on the finite set

27 votes
Accepted

Another question on almost sure and convergence in probability

27 votes
Accepted

How to prove that an operator is compact?

25 votes
Accepted

Limit of $L^p$ norm when $p\to0$

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