# liaomingxue

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## Registered User

 Name liaomingxue Member for 5 months Seen Mar 31 at 5:34 Website Location Age
 Mar22 revised Probability of difference between elements in a sorted setdeleted 6 characters in body; added 2 characters in body; added 2 characters in body; edited body Mar22 revised Probability of difference between elements in a sorted setadded 10 characters in body; added 6 characters in body; edited title; added 3 characters in body; added 8 characters in body Mar22 asked Probability of difference between elements in a sorted set Feb5 awarded ● Supporter Jan31 revised asymptotic or approximate formula for a combination expressionadded 149 characters in body Jan29 asked asymptotic or approximate formula for a combination expression Dec30 comment Asymptotic formula for an expression in terms of the second kind of stirling numbersA good suggestion. In fact and for our actual applications, $m$ is usuallly fixed and usually less than $10$, and $r$ will vary near 1, often not more than $10$ and not less than $1/2$. Therefore we do want an approximate result for $\sum_{k=1}^m S(m,k)k!/r^{k-1}$. Dec30 revised Asymptotic formula for an expression in terms of the second kind of stirling numbersadded 48 characters in body Dec29 revised Asymptotic formula for an expression in terms of the second kind of stirling numbersdeleted 5 characters in body Dec29 revised Asymptotic formula for an expression in terms of the second kind of stirling numbersadded 10 characters in body; added 34 characters in body Dec29 revised Asymptotic formula for an expression in terms of the second kind of stirling numbersadded 4 characters in body; deleted 35 characters in body; added 17 characters in body Dec29 asked Asymptotic formula for an expression in terms of the second kind of stirling numbers Dec23 comment How many extreme maximal cliques are in an n*m 0-1 matrix?The major cardinality is not related to the minor cardinality. The major may be less than the minor, only dependent on the matrix and the conditions of extreme maximal biclique (1), (2) and (3). Dec16 revised How many extreme maximal cliques are in an n*m 0-1 matrix?added 460 characters in body Dec16 awarded ● Editor Dec16 revised How many extreme maximal cliques are in an n*m 0-1 matrix?added 87 characters in body; edited title Dec15 asked How many extreme maximal cliques are in an n*m 0-1 matrix? Dec15 comment what is the sum of cardinalities of all elements of F at most?This solution is perfect. However, for s=1, the result reaches n*n somewhat bigger than expected. If we specify more conditions, the number may be reduced. Let's suppose that (1) each element of F is not a subnet of another one; and (2) cardinality of each element of F is not less than s. Then, whether or not the sum will become smaller? Dec15 awarded ● Scholar Dec14 awarded ● Student Dec14 asked what is the sum of cardinalities of all elements of F at most?