TenaliRaman
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 Nov 3 reviewed Approve Reflexivity of Relations Nov 1 reviewed Reject Find the limit $\lim_{n\to\infty} \frac{(3n)! \, e^n}{(2n)!\,n^n\,8^n}$ Nov 1 reviewed Reject Find the limit $\lim_{n\to\infty} \frac{(3n)! \, e^n}{(2n)!\,n^n\,8^n}$ Oct 28 comment How to prove that if $\lambda_{\max}(A)\leq t\quad\iff\quad A\preceq tI$? Hint: Prove the first implication $A \preceq tI \Rightarrow \lambda_{\max}(A) \leq t$. What does it mean for $tI - A$ to be positive semidefinite? (start from the definition) Oct 26 comment Orthogonality of stochastic matrix @AlgebraicPavel Thanks for the pointer! Theorem 4.1 looks very very useful!! Oct 26 asked Orthogonality of stochastic matrix Oct 19 awarded Organizer Oct 19 reviewed Reject Calculating factorial moment for distributions Oct 18 comment Understanding Markov's inequality Are you sure the first inequality would be true, if $\textrm{Range}(g) = [-\infty, 0]$? Oct 17 revised Prove by induction: $\sum\limits_{k=1}^{n}\frac{1}{2^k}\tan\frac{x}{2^k}=\frac{1}{2^n}\cot\frac{x}{2^n}-\cot x,x\neq k\pi,k\in \mathbb{Z}$ Fixed notational bugs. k was being used for both induction as well index of the summation, making the propositions confusing. Fixed it by replacing k with m in the induction process. Oct 17 revised Prove by induction: $\sum\limits_{k=1}^{n}\frac{1}{2^k}\tan\frac{x}{2^k}=\frac{1}{2^n}\cot\frac{x}{2^n}-\cot x,x\neq k\pi,k\in \mathbb{Z}$ fixed latex Oct 11 answered Evaluate $\int_{0}^{\frac{1}{2}}\ x\cos(\pi x)\,\mathrm{d}x$ Oct 8 reviewed Reviewed Integration proof: sin(1/x) is integrable Oct 8 revised Integration proof: sin(1/x) is integrable Updated the question in the details section. Oct 8 awarded Custodian Oct 8 reviewed Reviewed Really large birthday problem as a spacefaring question. Oct 8 revised Really large birthday problem as a spacefaring question. latex and some other minor corrections Oct 8 reviewed Approve Which statements are equivalent to the parallel postulate? Oct 8 reviewed Approve Which statements are equivalent to the parallel postulate? Oct 8 reviewed Approve Problem of $\pi$- and $\lambda$-systems