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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