# Siméon

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bio website twitter.com/SimeonLePoisson location France age 25 member for 1 year, 4 months seen 12 hours ago profile views 461

I am a Ph.D student working in the field of Probability Theory.

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 Apr14 answered Inequality involves complex numbers Mar12 comment A basic question on distribution function and stieljes integral You can prove that if $X$ and $Y$ are independent, the first integral is $\Pr(Y \leq X)$ and the second one is $\Pr(X \leq Y)$. Jan21 awarded Nice Answer Jan14 reviewed Approve suggested edit on L'Hôpital's rule for $\mathbb R ^n \to \mathbb R$ functions. Jan12 comment Showing convergence of a series @Leitingok: By ($\ast$) and the triangular inequality, $|a_{n+1}| \leq |1-\frac{2}{n+1}||a_n| + |\epsilon| = (1-\frac{2}{n+1})|a_n| + |\epsilon_n|$ because $(1-\frac{2}{n+1}) \geq 0$. Jan11 reviewed Approve suggested edit on What is the sum of this series? Dirichlet $L$-Function Jan10 comment Big-$O$ notation definition. To emphasize the lack of uniformity in R. Jan10 comment Integration, Lebesgue and counting measure These integrals reduce to $m(\{y\})$ and $\omega(\{x\})$. I let you finish. Jan10 comment Big-$O$ notation definition. For all $R < 2$, there exists a constant $C_R$ such that [...] Maybe $C_R = |R|$ or maybe $C_R = \pi+\sqrt{2}$ or maybe $C_R = e^{e^{R^2}}$... the $O_R(x)$ doesn't say. Jan10 comment Big-$O$ notation definition. @martin: $C_R$ is a positive real number. Jan10 awarded Custodian Jan10 reviewed No Action Needed Complete course of self-study Jan10 reviewed Leave Closed Find $x, y$ such that $\left | \frac ab -\frac xy \right |$ is minimal Jan10 reviewed Close Two of the zeros of the polynomial $f(x)=x^3 + ax^2 + bx + c$ are opposite numbers. (a,b,c are real). Jan10 reviewed Close Numerical methods for stochastic differential equations Jan10 reviewed Leave Open Which methods different than the natural $\lim_{n\to\infty}\frac{|\cos{1}|+|\cos{2}|+|\cos{3}|+\cdots+|\cos{n}|}{n}$ Jan10 revised Big-$O$ notation definition. added 141 characters in body Jan10 answered Big-$O$ notation definition. Jan8 comment Prove that $\lim_{n\to\infty}\left[1-\prod_{i=1}^{n} (1-\frac{a}{i} )\right]= 1$. Huh, is it $\prod \frac{a}{i}$ or $\prod (1-\frac{a}{i})$? Jan8 reviewed Reviewed Evaluate $\int_0^1dx \int_0^1\frac{x^2-y^2}{(x^2+y^2)^2}dy$