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seen Oct 20 at 18:04

Student.


Oct
10
comment Does this sum go to 0?
I'm taking a course of random graph. The exercises are really difficult. Sometimes no students in class could solve all of them. These equations are the best I can reach. If I can get $S \to 0$ then I'm done. But I've completely no idea if this is the correct direction or it's a just another dead end.
Oct
10
asked Does this sum go to 0?
Oct
10
accepted What's the lower bound of the sum $S(n) = \sum_{k=1}^n \prod_{j=1}^k(1-\frac j n)$?
Oct
10
comment What's the lower bound of the sum $S(n) = \sum_{k=1}^n \prod_{j=1}^k(1-\frac j n)$?
Oh yeah, I should be more careful about typos.
Oct
10
revised What's the lower bound of the sum $S(n) = \sum_{k=1}^n \prod_{j=1}^k(1-\frac j n)$?
edited body
Oct
10
asked What's the lower bound of the sum $S(n) = \sum_{k=1}^n \prod_{j=1}^k(1-\frac j n)$?
Oct
10
comment What's the asymptotic lower bound of the sum $\frac 3 2 + \sum_{k=3}^{n} \frac{n!}{k(n-k)!n^k}$?
That's really impressive.
Oct
10
accepted What's the asymptotic lower bound of the sum $\frac 3 2 + \sum_{k=3}^{n} \frac{n!}{k(n-k)!n^k}$?
Oct
10
comment What's the asymptotic lower bound of the sum $\frac 3 2 + \sum_{k=3}^{n} \frac{n!}{k(n-k)!n^k}$?
The 2 $(n-2)$ is a typo, I just fixed it.
Oct
10
revised What's the asymptotic lower bound of the sum $\frac 3 2 + \sum_{k=3}^{n} \frac{n!}{k(n-k)!n^k}$?
edited body
Oct
10
asked What's the asymptotic lower bound of the sum $\frac 3 2 + \sum_{k=3}^{n} \frac{n!}{k(n-k)!n^k}$?
Oct
8
revised Given a random graph $G_{n,p}$, how to get the expectation of number of components with $k$ vertices and $k$ edges?
edited title
Oct
8
asked Given a random graph $G_{n,p}$, how to get the expectation of number of components with $k$ vertices and $k$ edges?
Oct
2
accepted Does this sum have an upper bound?
Oct
2
comment Does this sum have an upper bound?
Oh, that answered my question, thx!
Oct
2
asked Does this sum have an upper bound?
Oct
2
comment Is it possible to get the coefficients of the power series
No, I can't, although the problem doesn't indicate the domain of s explicitly, in the context, $s$ is a real number.
Oct
1
accepted Is it possible to get the coefficients of the power series
Oct
1
comment Is it possible to get the coefficients of the power series
The thing is, according to my understanding of the problem. What I can get is only $f(s)$, not $f'(s)$. In fact, I'm trying to construct a random variable with the same distribution as $Z$, but without knowing $p_0, p_1, p_2, \ldots $, it seems impossible . That's why I'm trying to get all $p_i$'s.
Oct
1
asked Is it possible to get the coefficients of the power series