Báo cáo toán học: "On self-complementary cyclic packing of forests" pptx

... set consists of all the descendants under b of each of the seeds. In fact, a second partition is more interesting. It contains an infinite number of sets, each of which consists of an unique seed, ... x k (n)b(p)+y k (n)kp,and b(x k (n)b(p)+y k (n)kp)=f k (n)b(p)+g k (n)kp (15) On a Strange Recursion of Golomb Ed Barbeau Steve Tanny Department of Mathematics Department of Mat...

Ngày tải lên: 07/08/2014, 06:20

... location of the roots of the generating polynomials of the numbers of derangements of length n, counted by their number of cycles. We then use this result to prove that if k is the number of cycles of ... polynomial function of n that is of degree at most t. Finally, m a (i, b) is the number of permutations of length b with i cycles, each of which is at most of len...

Ngày tải lên: 07/08/2014, 13:21

... hA the subset of G consisting of all possible sums of h not necessarily distinct elements of A, i.e.: hA = {a 1 + ···+ a h : a i ∈ A}. (1.1) This set is called the h-fold sumset of A. We say that ... result of Lev [L], generalising an earlier result of Freiman [F], concerning the growth of sumsets of a large subset of an arithmetic progression of integers: Theorem 2.4. (...

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... 0), which completes the proof.  Proof of Theorem 2.1. If EX 2 < ∞ then s 2 n → σ 2 a.s. Therefore, the theorem follows if we show that the conditional distribution of Y ∗ nN n converges weakly ... =[(1−s 0 )m],v=[(1+s 0 )m]. Vietnam Journal of Mathematics 33:3 (2005) 261–270 On the Asymptotic Distribution of the Bootstrap Estimate with Random Resample Size * Nguyen Van Toan Depart...

Ngày tải lên: 06/08/2014, 05:20

... − λ ∗ , (2.2) Then every solution {x n } ∞ n=−m of (2.1) is bounded. Proof. The proof follows from applying the mean value theorem and the proof of Theorem 2 in [2]. To study the periodicity in ... behavior of solutions of delay nonlinear difference equations has been studied extensively in recent years; see for example [1-9]. Our main moti- vation in studying asymptotic behavior of...

Ngày tải lên: 06/08/2014, 05:20

... number of roots and s is the number of poles of P ∧ (t) (see 2.1.4), is called the bi-rank of the Hecke symmetry. The main result of this Representation Categories of Matrix Quantum Groups of Type ... with the coaction of E. The action of t w will be denoted by R w . Thus, each element of H n determines an endomorphism of V ⊗n as an E- comodule. For q not a root of uni...

Ngày tải lên: 06/08/2014, 05:20