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 Sep 24 awarded Autobiographer Jul 2 awarded Curious Oct 30 awarded Yearling May 14 answered How to integrate $\int_0^\infty e^{-ty^2} \sin t dt$ May 14 comment The unique root on (1,2) I just give some ideas, firstly, there dose exist a root between 1 and 2 using intermediate value theorem, but I need to prove this root is unique May 14 asked The unique root on (1,2) May 13 answered Proving that $\frac{\sigma_{n-1}}{\omega_n} = n$ in $\mathbb{R}^n$ May 13 asked The definition of Pisot number May 10 accepted An estimation in mathematical analysis May 10 accepted Polynomial with bounded coefficients May 10 accepted Rotation on the unit circle K May 10 accepted Minimal value of a polynomial May 10 accepted Topological properties under the Lipschitz map May 10 accepted Some basic properties of Pisot number May 10 comment Question on closures and closed sets Should we consider the metric? May 7 answered Beta Function : Proof May 7 comment How can I prove that a polynomial has no rational roots? math.stackexchange.com/questions/383186/…; may be helpful May 7 answered Convergence of sequence uneven/even May 7 comment Convergence of sequence uneven/even $0\leq\frac{1.3.5\cdots(2n-1)}{2.4.\cdots(2n)}\leq \frac{1.3.5\cdots(2n-1)}{\sqrt{1.3}.\sqrt{3.5}.\cdots(\sqrt{(2n-1)(2n+1)})}=\fra‌​c{1}{\sqrt{2n+1}}$ May 7 comment Lower bound of a polynomial I think that the optimal bound is when the number of positive $a_n$ and negative $a_n$ are the same, therefore, they can offset each other perfectly.