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Apr 17, 2012 at 19:31 answer added Henry timeline score: 2
Jan 20, 2012 at 11:59 vote accept Fan Zhang
Jan 20, 2012 at 11:59 history bounty ended Fan Zhang
Jan 20, 2012 at 1:23 answer added Noam D. Elkies timeline score: 11
Jan 19, 2012 at 5:13 answer added Aaron Meyerowitz timeline score: 3
Jan 14, 2012 at 2:23 comment added Fan Zhang @Ori-Gurel-Gurevich Oh, I see. m could tend to infinity. when n should vary from a small number to a large number, I want to see how E changes when n changes given m is a very large number.
Jan 13, 2012 at 18:29 comment added Ori Gurel-Gurevich @Fan: OK, but again what range for $n$ and $m$? are you interested in asymptotics when they tend to infinity?
Jan 13, 2012 at 18:07 comment added Fan Zhang @Ori-Gurel-Gurevich I am also interested in the Upper bound.
Jan 13, 2012 at 17:58 comment added Ori Gurel-Gurevich Do you need the exact expectation? Assuming not, what range of the parameters are you interested in?
Jan 13, 2012 at 14:10 history bounty started Fan Zhang
Jan 11, 2012 at 19:13 comment added Alan Haynes @Fan Zhang Ok fair enough, I think it's still an interesting question.
Jan 11, 2012 at 15:17 comment added Fan Zhang @AH I am not assuming that the parts are written in increasing order. It is number composition, so order is significant here.
Jan 11, 2012 at 14:20 comment added Alan Haynes @Fan Zhang Are you assuming that the parts are written in increasing order? If not then all of the $E(X_i)$'s are the same, just by considering all possible permutations.
Jan 11, 2012 at 13:59 comment added Fan Zhang @IgorRivin It is not homework. I want to analyze a algorithm I proposed. And it can be converted to the above problem.
Jan 11, 2012 at 13:13 comment added Igor Rivin And why do you want to compute this? Is this homework?
Jan 11, 2012 at 12:14 history asked Fan Zhang CC BY-SA 3.0