Aryabhata
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416/400 score
 Nov 13 comment How to calculate the expected number of distinct items when drawing pairs? @Ross: You are right. I was assuming with replacement. Nov 13 revised How to calculate the expected number of distinct items when drawing pairs? added 56 characters in body Nov 13 comment Prove f is an integrable map Looks like homework. What you have tried? Nov 13 answered How to calculate the expected number of distinct items when drawing pairs? Nov 13 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ @daniel: Do you have any guess as to what the limit could be? Nov 13 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ +1: As promised :-) Nov 13 answered What could the notation $l^\infty(\mathcal{F})$ mean, where $\mathcal{F}$ is a set of measurable functions? Nov 12 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ @daniel: That seems to be a harder problem :-) Does it ask to find the limit of $(a_n)^2/n$? Interesting course you are taking there :-) Nov 12 comment Continuous function of one variable What you done so far? Nov 12 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ I like this better, but unfortunately, I am out of votes for today. Nov 12 revised Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ added 2 characters in body Nov 12 answered Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ Nov 12 revised Exercise from Comtet's Advanced Combinatorics: prove $27\sum_{n=1}^{\infty }1/\binom{2n}{n}=9+2\pi \sqrt{3}$ added 12 characters in body Nov 12 revised Exercise from Comtet's Advanced Combinatorics: prove $27\sum_{n=1}^{\infty }1/\binom{2n}{n}=9+2\pi \sqrt{3}$ added 2 characters in body Nov 12 answered Exercise from Comtet's Advanced Combinatorics: prove $27\sum_{n=1}^{\infty }1/\binom{2n}{n}=9+2\pi \sqrt{3}$ Nov 12 revised Solve the functional equation $f (x+y)=f (x)+f (y)+xy (x+y)$, $f$ continuous at $0$ added 285 characters in body Nov 12 revised Solve the functional equation $f (x+y)=f (x)+f (y)+xy (x+y)$, $f$ continuous at $0$ added 53 characters in body; edited title Nov 12 comment Solve the functional equation $f (x+y)=f (x)+f (y)+xy (x+y)$, $f$ continuous at $0$ btw, Mirzodaler: I am guessing you are just posting some interesting challenge problems you have come across. Please try to provide the source of the problems, whenever you can. Nov 12 revised Solve the functional equation $f (x+y)=f (x)+f (y)+xy (x+y)$, $f$ continuous at $0$ added 560 characters in body; added 46 characters in body Nov 12 comment Solve the functional equation $f (x+y)=f (x)+f (y)+xy (x+y)$, $f$ continuous at $0$ @Chandru: I didn't see that comment until you pointed out!