MathOverview
Reputation
5,817
67/100 score
 Oct 2 accepted If $X_n$ is the remaining time after $n$ until the next replacement, show that $(X_n)$ is a Markov chain and compute its transition probabilities Jun 7 accepted $d(x,y)^2 \le d(x,z)^2 - d(y,z)^2\color{}{+\varphi\big(x,y,z,d(x,y),d(y,z) \big)}?$ Dec 29 accepted If $\mu(A|\mathcal{J}_n)=1_{A}$ then $\mu(A|\displaystyle\bigcap_{n\in\mathbb{N}}\mathcal{J}_n)=1_A$? Nov 30 accepted A consequence of the Fubini-Tonelli theorem? Nov 19 accepted How to prove that a compact set in a Hausdorff topological space is closed? Apr 24 accepted Intuition on Wald's equation without using the optional stopping theorem. Mar 30 accepted The number of solutions of linear equations. Jul 28 accepted It is possible to prove the existence of Gibbs measures using the Kolmogorov extension theorem? Jul 28 accepted List videos of interesting courses at the doctoral level. Jun 25 accepted A simple way to obtain $\prod_{p\in\mathbb{P}}\frac{1}{1-p^{-s}}=\sum_{n=1}^{\infty}\frac{1}{n^s}$ Jun 6 accepted An inequality for symmetric matrices: $\mbox{trace}(XY)\leq \lambda(X)^T\lambda(Y)$. May 14 accepted On the no trivial $3$-tuples $(p, q, \alpha) \in \mathbb{N}^3$ such that $\sum_{k = 1}^{n}k^p =\Big [\sum_{k=1}^{n}k^q\Big]^\alpha$. Apr 7 accepted There is a simple explanation that shows why the Fundamental Theorem of Algebra can not be proved without results of Analysis? Apr 7 accepted Intuitive explanation of Residue theorem in Complex Analysis Jan 29 accepted Convergence of sequences in topological spaces. Jan 28 accepted Does the series $\sum_{n\in\mathbb{Z}} \exp\left(-\sum_{k=-n}^{+n}\cos(k)\right)$ converge or diverge? Dec 18 accepted On convergence of nets in a topological space Nov 17 accepted Puzzle on the triangle. Nov 13 accepted If $A$ generates the topology $\mathcal{T}$ and the $\sigma$-field $\mathcal{F}$ then $\mathrm{Borel} (\mathcal{T}) =\mathcal{F}$? Nov 9 accepted About the existence of a partition to a partially ordered set $A$.