Kos
Reputation
Top tag
Next privilege 250 Rep.
 Oct10 accepted Asymptotic for binomial coefficient with square root Oct10 comment Which function grows faster: $(n!)!$ or $((n-1)!)!(n-1)!^{n!}$? But total numher of factors in the first function is $n!$, while in the second it is $k+n!$, so it has extra $k$ factors, each equals to $k$ Oct10 comment Prove the asymptotic for the sum Pragabhava, yes, sure, $n$. Oct10 revised Prove the asymptotic for the sum edited body Oct9 comment Which function grows faster: $(n!)!$ or $((n-1)!)!(n-1)!^{n!}$? I cannot explicitely explain why did I say so. Probably, I just wanted to point that it seems that there should be smarter solution others than Stirling's approximation. But, of course, I can be wrong. Oct9 revised Which function grows faster: $(n!)!$ or $((n-1)!)!(n-1)!^{n!}$? edited tags Oct9 asked Prove the asymptotic for the sum Oct9 asked Which function grows faster: $(n!)!$ or $((n-1)!)!(n-1)!^{n!}$? Oct9 awarded Scholar Oct9 accepted How to prove that symmetric difference of intersections is a subset of unions of symmetric differences Oct9 comment How to prove that symmetric difference of intersections is a subset of unions of symmetric differences Yes, sure, you are right. Thanks again. Oct9 awarded Editor Oct9 awarded Supporter Oct9 comment How to prove that symmetric difference of intersections is a subset of unions of symmetric differences Thanks for the formula and the idea. I've updated the post to reflect the solution, which I came up using your suggestion. Thanks again. Oct9 revised How to prove that symmetric difference of intersections is a subset of unions of symmetric differences added 1436 characters in body Oct9 asked How to prove that symmetric difference of intersections is a subset of unions of symmetric differences Oct6 awarded Student Oct6 asked Asymptotic for implicitly given function Oct6 comment Asymptotic for binomial coefficient with square root Thank you. But I'm thinking if there is any other hints for this? I'm confused with sqrt(n), because if there is no special hint, why didn't they use any other parameter or number (like a, or whatever) instead of sqrt? Oct5 asked Asymptotic for binomial coefficient with square root