Alexey
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 Dec 22 awarded Caucus Dec 16 answered Eigenvalue inequalities for Hermitian matrices Dec 15 answered Almost surely convergence of the sequence Apr 11 comment Lower bound for divergence of matrix spectrum Now it is better (however, you should replace $i + 1$ by $j$). But I don't know ways to estimate $\min_{i \ne j} |\lambda_i - \lambda_j|$ for a matrix in rather general form. Apr 11 suggested rejected edit on Lower bound for divergence of matrix spectrum Apr 11 revised Lower bound for divergence of matrix spectrum added 4 characters in body Apr 11 comment Lower bound for divergence of matrix spectrum Thanks for suggestion. I will edit my question to make clear I want some $c > 0$. Apr 11 comment Lower bound for divergence of matrix spectrum Really, isn't helpful. It is a bound of the form $N c$. Apr 11 revised Lower bound for divergence of matrix spectrum Make notation clear Apr 11 suggested approved edit on Lower bound for divergence of matrix spectrum Apr 11 comment Finding expected value of variance estimator (sum expansion problem) At the right hand side we expand mean at the left hand side. We have $n$ quadratic first, they are collected in the first sum. Cross-terms $\sum_{i \ne j} (X_i - \mu) (X_j - \mu) = 2 \sum_{i = 1}^{n - 1} \sum_{j > i} (X_i - \mu) (X_j - \mu)$ are collected in the second sum at the right hand side. Apr 11 asked Lower bound for divergence of matrix spectrum Jan 16 awarded Supporter Jan 2 awarded Teacher Dec 21 answered Logistic regression with weighted instances Nov 12 accepted Quadratic functon integration over normal distribution Nov 12 awarded Editor Nov 12 revised Quadratic functon integration over normal distribution deleted 35 characters in body Nov 12 answered Quadratic functon integration over normal distribution Nov 7 asked Quadratic functon integration over normal distribution