Báo cáo toán học: "Coupon Collecting with Quotas" potx

... general problem that we solve, the “coupon collector’s problem with quotas,” is for a payoff word with letters in the set L which appear with probabilities p = p  :  ∈ L and quotas q = q  : ... journal of combinatorics 15 (2008), #N31 5 with a uniform distribution of the coupons. Wilf and Myers in [3] re-derived the result of Newman and Shepp, but with a generating function o...

Ngày tải lên: 07/08/2014, 15:22

... composition and performance. We collaborated with an electronic musician to observe the real flexibility and the capabilities of such a system, when handled by a user with deep musical skills but no robot ... setup The robot employed in this study is a Barrett WAM with 7 revolute DOFs back- drivable arm, controlled by inverse dynamics solved with recursive Newton Euler algorithm [33]....

Ngày tải lên: 20/06/2014, 20:20

... random fixed point. 5 for y ∈ X with y = x. It is well known that the above inequality is equivalent to lim sup n→∞ x n − x < lim sup n→∞ x n − y for y ∈ X with y = x. It is well known ... continuous, if for each {x n } ⊂ X with x n  x, then J(x n )  ∗ J(x). Recall that a Banach space X is said to satisfy Opial  s condition if, for any {x n } ⊂ X with x n  x, the following...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

... T k (x) with eigenvalue h 2ν (x). Since T k (x) commutes with the action of S λ/µ ,wehave T k (x)(e(v)) = e(T k (x)v) = e(h 2ν (x)v) = h 2ν (x)e(v). (2.42) i.e. e(v)isalsoaneigenvectorofT k (x) with ... S n with k fixed points, and standard tableaux of all normal shapes λ  n such that λ has exactly k columns of odd length. Fact 3.8. Let T be a standard tableau of shape D, which is a s...

Ngày tải lên: 07/08/2014, 06:20

... antichain A there exists a flat antichain with same volume as A. Our main result is: Theorem 1. If A is an antichain then there exists a flat antichain with volume V (A). The next section, Section ... singletons of [K]withtheset{K +2, ,n}.It is now easy to see that this collection is itself preceded by  K+1 2  sets, each of them being the union of one of the  K+1 2  2-subsets of [K +1]...

Ngày tải lên: 07/08/2014, 06:20

... 6 Figure 4: A 5-Venn diagram with 8 vertices. the electronic journal of combinatorics 5 (1998), #R44 2 (a) Venn Diagram with 3 curves and 6 vertices (b) Venn Diagram with 3 curves and 3 vertices Figure ... unique sink (a vertex with no out-going edges), and a unique source (a vertex with no incoming edges). An equivalent definition of a monotone Venn diagram is that each dual vertex...

Ngày tải lên: 07/08/2014, 06:22