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 Nov 19 awarded Notable Question Nov 2 awarded Notable Question Oct 5 awarded Popular Question Sep 10 awarded Popular Question Jul 2 awarded Curious Jan 28 accepted Convergence of $\sum_{n=2}^\infty \frac{1}{n^\alpha \ln^\beta (n)}$ Jan 28 comment Convergence of $\sum_{n=2}^\infty \frac{1}{n^\alpha \ln^\beta (n)}$ Sorry for commenting in an old post but I think that by the ratio test if $\alpha > 1$ the series converges. Dec 31 accepted Every finite set contains its supremum: proof improvement. Dec 31 accepted Every sequence is composed of isolated points? Dec 31 accepted In a metric space, compactness implies completness Dec 30 asked Convergence of $\sum_{n=2}^\infty \frac{1}{n^\alpha \ln^\beta (n)}$ Dec 16 comment how to mathematically formulate the sign of a value? So $\mathrm{sgn}(a) :=\left\{\begin{array}{cc} \frac{|a|}{a} & \text{if } a \neq 0 \\ 0 & \text{if } a = 0\end{array}\right.$ Dec 16 comment how to mathematically formulate the sign of a value? What about $a= 0$? Is there convention for $\mathrm{sgn}(0)$? Dec 16 comment Every sequence is composed of isolated points? Corrected, thanks Dec 16 asked Every sequence is composed of isolated points? Dec 16 comment Every finite set contains its supremum: proof improvement. It is supposed that I can not conclude that $\max A = \sup A$ immediately, so I need to use supremum properties... Should I order elements of $A$ insted of using $\max A$? Dec 16 awarded Custodian Dec 16 reviewed Approve Every finite set contains its supremum: proof improvement. Dec 16 asked Every finite set contains its supremum: proof improvement. Dec 15 accepted In a metric space, if a set is compact, then it is closed: improving proof