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 Jan 10 awarded Editor Jan 10 revised 2nd smallest eigenvalues and courant-fisher added 16 characters in body Dec 20 answered Dirichlet's approximation theorem (simultaneous version): proof via Minkowski's theorem Sep 19 comment The number of lattice points in d-dimensional ball You're probably right. I'm only interested in cases where $d$ is large enough. Sep 16 asked The number of lattice points in d-dimensional ball Sep 16 accepted Binomial coefficients inequality Aug 30 answered Binomial coefficients inequality Apr 6 comment Binomial coefficients inequality My current approach (which is still untested) goes like this: Show that the inequality holds for $a=0$ and $a=n-s+1$ (which is pretty easy) and then by differentiation show that the left hand side of the inequality achieves its maximum at those end-points (which have the same value). However, as I said I haven't yet written it out and checked that it indeed works. Apr 5 asked Binomial coefficients inequality Feb 9 awarded Tumbleweed Oct 13 awarded Yearling Aug 7 answered Hamiltonian cycle in tournament Aug 1 comment Expected Sum of 30 sided die rolls The expected sum and the most likely result are completely different things. Expected sum, at least for me, seems that should be interpreted as expectation while most likely is the value which maximizes the probability. Jul 31 answered 2nd largest eigenvalue and rayleigh quotient Jul 31 awarded Scholar Jul 31 accepted 2nd smallest eigenvalues and courant-fisher Jul 31 answered 2nd smallest eigenvalues and courant-fisher Jul 29 comment 2nd smallest eigenvalues and courant-fisher If I add that $\bar 1$ is an eigenvector of $L$ corresponding to $\mu_1$, will that make it easier? Jul 28 asked 2nd smallest eigenvalues and courant-fisher Jun 15 awarded Supporter