Stack Exchange

Davide Giraudo

Rouen, France

univ-rouen.fr/LMRS/Persopage/Giraudo

Age: 23

I'm a Ph.D. student, working on limit theorems of probability theory.

My activity on math.stackexchange consists in:

When I edit a post, I suggest the owner to check whether I didn't change the meaning.

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Top Questions
Top Answers
84
Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$
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40
Find the limit $\lim \limits_{n\to \infty }\cos \left(\pi\sqrt{n^{2}-n} \right)$
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22
Does $ \int_0^{\infty}\frac{\sin x}{x}dx $ have an improper Riemann integral or a Lebesgue integral?
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19
Is there a bijective map from $(0,1)$ to $\mathbb{R}$?
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17
Showing $\left|\frac{a+b}{2}\right|^p+\left|\frac{a-b}{2}\right|^p\leq\frac{1}{2}|a|^p+\frac{1}{2}|b|^p$
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17
Prove: $\int_{0}^{\infty} \sin (x^2) dx$ converges.
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16
Frullani proof integrals
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15
Generalisation of the identity $\sum\limits_{k=1}^n {k^3} = \bigg(\sum\limits_{k=1}^n k\bigg)^2$
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15
Does the series converge or diverge? $\sum\limits_{n=1}^\infty\frac{1}{\sqrt{n}+\sqrt{n+1}}$
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14
Does the series $\sum\frac{\ln n}{n^{2}}$ Converge?
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13
How to prove a random variable taking values in $[0,1]$ range has variance no larger than $\frac{1}{4}$?
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13
Measurable function on the interval $[0,1]$
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13
Evaluating the product $\prod\limits_{k=1}^{n}\cos\left(\frac{k\pi}{n}\right)$
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12
Entire functions such that $f(z^{2})=f(z)^{2}$
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12
If $f(x)$ is continuous on $[a,b]$ and $M=\max \; |f(x)|$, is $M=\lim \limits_{n\to\infty} \left(\int_a^b|f(x)|^n\,\mathrm dx\right)^{1/n}$?
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12
Proof: $\mathrm{adj}(\mathrm{adj}(A)) = (\mathrm{det}(A))^{n-2} \cdot A$ for $A \in \mathbb{R}^{n\times n}$
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12
If an element has a unique right inverse, is it invertible?
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11
How to prove this inequality in Banach space?
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11
How to prove that an operator is compact?
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11
Does $a_n + a_{n+1} + a_{n+2} \to 0$ imply $a_n \to 0$?
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11
If $V \times W$ with the product norm is complete, must $V$ and $W$ be complete?
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11
Proving an estimate for this integral
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11
$|G-H|<\infty$ so $|G|<\infty$
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11
How to prove that $ \sum_{n \in \mathbb{N} } | \frac{\sin( n)}{n} | $ diverges?
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11
Finding a continuous function $f: \mathbb{R} \to \mathbb{R}$ such that $f(\mathbb{R})$ is neither open nor closed
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10
Integral form of $\Gamma (x)$
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10
Is $\mathbb{Z}^2/<(1,1)>$ cyclic and isomorphic to $\mathbb{Z}$?
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10
Prove that $f(x)$ has no integer roots
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10
two converging sequences results in third
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10
If $\sum\frac{a_{(n+1)}}{a_n}$ is convergent then can we say that $\sum a_n$ is also convergent?
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