Báo cáo toán học: "Enumerating Pattern Avoidance for Affine Permutation" potx

... dy pattern avoidance for affine permutations. In particular, we show that for a given pattern p, there are only finitely many affine permutations in  S n that avoid p if and only if p avoids the pattern ... 3  n 2  for this particular pattern. 4 Generating Functions for Patterns in S 3 Let f p n and f p (t) be as in (1) and (2) in Section 1. Then by Theorem 1 we have f 321...

Ngày tải lên: 08/08/2014, 12:22

... upon acceptance. It can be downloaded, printed and distributed freely for any purposes (see copyright notice below). For information about publishing your research in Journal of Inequalities and ... Liapunov-type inequality for certain higher-order differential equations. Appl. Math. Comput. 134(2–3), 307–317 (2003) [17] Cakmak, D: Lyapunov-type integral inequalities for certain higher...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 15:20

... σ(u i )=u i+1 , for i =1, ,2p,andσ(u 2p+1 )=u 1 . Now it is clear that σ is an automorphism of Γ p . (4) The graph Γ p was defined for the first time in [8]. In [8] it is also proved that Γ p → (3,p) for p ... facts for the complementary graph ¯ P k of the graph P k : cl( ¯ P k )=  k 2  (5) cl( ¯ P 2k − v)=cl( ¯ P 2k ), for each v ∈ V ( ¯ P 2k )(6) cl( ¯ P 2k −{v 2k− 2 ,v 2k− 1 })=c...

Ngày tải lên: 07/08/2014, 13:21

... 2.2. Thus, a lower bound for t m (C) implies a bound for t m+1 (C). The first bo und in this section shows that for m  2, the situation for m-covering radii is quite different from that for or dinary covering ... straight forward generalization of the classical sphere bound. Theorem 4.2. (Generalized Sphere Bound for RD Codes) For any (n, K) RD code C, K  V (n, t m (C)) m   ...

Ngày tải lên: 08/08/2014, 01:20

... record, then  σ∈S n x f(σ) y majcode(σ) =  σ∈S n x f(σ) y invcode(σ (−1) ) for n = 2, 3, 4 but not for n = 5. For the other six kinds of records, f = r[max, i], r[min, i], l[max, v], l[max, i], l[min, v], l[min, i] and for the bi-statistics (f, ... v]φ(σ). Hivert, Novelli, and Thibon [7] have generalized the result of [4] for major codes and inversion codes: For any subset A ⊆ [...

Ngày tải lên: 08/08/2014, 12:22

... Ramanujan Type Congruences for a Partition Function Haijian Zhao and Zheyuan Zhong Center for Combinatorics, LPMC-TJKLC Nankai University, Tianjin, P.R. China haijian.nankai@gmail.com, ... was also proven by Baruah and Ojah [1] using the 3-dissections for ϕ(−q) −1 and ψ(q) −1 , and by Cao [4] applying the 3-dissection for (q; q) ∞ (q 2 ; q 2 ) ∞ . We will give another proof ba sed ......

Ngày tải lên: 08/08/2014, 14:22

... and distributed freely for any purposes (see copyright notice below). Articles in Nanoscale Research Letters are listed in PubMed and archived at PubMed Central. For information about publishing ... silicon Fabry-Pérot films for loading and release of a steroid. Langmuir 2004, 20:11264-11269. Figure 1. The current densities for PSRFs and the coupled density for C-PSRFs....

Ngày tải lên: 20/06/2014, 20:20

... this basis in the analysis for optimal beamforming and SINR optimization. The results show that in the case of opportunistic beamforming scenarios in Rayleigh channels only beamforming gains are achieved, ... channels we consider that both the BS and the mobile terminals perform opportunistic beamforming. This is performed by randomly selecting a pattern among those with the highest direc...

Ngày tải lên: 20/06/2014, 20:20

... lim t→0 ϕ(σt) ψ(t) = σ p−1 , for all σ ∈ R + , for some p > 1. (Φ 2 ) lim |t|→∞ ϕ(σt) ψ(t) = σ q−1 , for all σ ∈ R + , for some q > 1. (F 1 ) f(t, u, λ) = ◦(|ψ(u)|) near zero, uniformly for t and λ in ... lim t→0 ϕ −1 (σt) ψ −1 (t) = ϕ −1 p (σ), for all σ ∈ R + , for some p > 1, (4) and (ii) lim |t|→∞ ϕ −1 (σt) ψ −1 (t) = ϕ −1 q (σ), for all σ ∈ R + , for some q >...

Ngày tải lên: 20/06/2014, 20:20