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An expert is a man who has made all the mistakes, which can be made, in a very narrow field. (Niels Bohr)


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 $A$.
Oct
12
accepted It is possible to prove that these two collections generate the same topology on $ \mathbb{X} $?
Sep
30
accepted As we prove that these two topologies in measures space $\mathcal{M}(\mathbb{X})$ are really equals?
Sep
28
accepted This metric in the space of probability generates the weak* topology?