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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?
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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 $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$
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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 $27\sum_{n=1}^{\infty }1/\binom{2n}{n}=9+2\pi \sqrt{3}$
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Nov
12
revised Exercise from Comtet's Advanced Combinatorics: prove $27\sum_{n=1}^{\infty }1/\binom{2n}{n}=9+2\pi \sqrt{3}$
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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 $0$
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Nov
12
revised Solve the functional equation $f (x+y)=f (x)+f (y)+xy (x+y)$, $f$ continuous at $0$
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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!