Báo cáo toán học: " Exterior Pairs and Up Step Statistics on Dyck Paths" ppsx

... said to be exterior if τ(uv) contains at least two leaves. One can check tha t the exterior edges of T are in one-to-one correspondence with the exterior pairs of the corresponding Dyck path Λ −1 (T ... nd a down step, respectively. In [3], Denise and Simion introduced and investigated the two statistics ‘pyramid weight’ and ‘number of exterior pairs on the set C n . A...

Ngày tải lên: 08/08/2014, 14:23

... x-axis and whose allowed steps are the up diagonal step (1, 1), the down diagonal step (1, −1) and the colored horizontal step (1, 0) which is labeled by means of k colors, k ∈ N. These steps ... Panayotopoulos and A. Sapounakis, On Motzkin words and noncrossing partitions, Ars Combin. 69 (2003), 109–116. [16] J. Riordan, Combinatorial Identities, John Wiley and Sons, 1968...

Ngày tải lên: 07/08/2014, 08:22

... of a matching if and only if it does not contain arbitrarily long alternations. Proof. One direction is obvious: if a permutation class contains arbitrarily long alterna- tions then it cannot ... be covered by f(a, b) monotonic rectangles, and thus we will be done by Proposition 2.4. First note that if either a or b is 0 then C can only contain monotone permutations, so we can set f(a, .....

Ngày tải lên: 07/08/2014, 13:21

... show that the generating function M (u) =  wu |µ(u, w)|w can be irrational. 1 Introduction and defini tions Let P be a set and consider the corresp onding f ree monoid or Kleene closure of all ... P and u ∈ P ∗ such that the language M(u) = {w : µ(u, w) = 0 } is not regular. This is done in Section 7. The penultimate section is devoted to comments, conjectures, and open questions....

Ngày tải lên: 08/08/2014, 01:20

... in permu tations on [n]. We introduce the inversion number of a permutation tableau. For a permutation tableau T and the permu tation π obtained from T by the bijection of Corteel and Nadeau, ... without inversions. It can be seen that the permutation tableau corresponding to T is an L- Bell tableau if and only if T satisfies the following conditions: (1) Each row contains at most one...

Ngày tải lên: 08/08/2014, 14:23

... bottom of the conduction band of GaSb QDs. In such circumstance, the light emission intensity of the GaSb QD could be stronger than the type II transition due to the stronger spatial confinement ... Excitation Power (mW) 1/3 Figure 3 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon...

Ngày tải lên: 20/06/2014, 20:20

... materials in future semiconductor spintronic applications due to the simultaneous control of ‘electron’ charge and spin [9-12]. Among all the magnetic transition ion-doped ZnO systems, Mn ... transition ions substitute a small percentage of cation sites of the host semiconductor and are coupled with free carriers to yield ferromagnetism via indirect interaction [9-12]. DMSs are consi...

Ngày tải lên: 20/06/2014, 20:20

... for con- densing and nonexpansive maps will be proved. 3.1. Condensing maps. Definition 3.3. Let Y be a nonempty and bounded subset of a Banach space X, and let γ denotes some measure of noncompactness ... Lakshmikantham, V: On a measure of nonconvexity and applications. Yokohama Math. J. 24, 133–140 (1976) [2] Marrero, I: A note on reflexivity and nonconvexity. Nonlinear Anal. 74...

Ngày tải lên: 20/06/2014, 20:20

... interaction, especially useful for percussion performance that consists of a perception and a con- trol module. The perception model is a hierarchical HMM that does online event detection and separation ... transition and the control matrices and the cost function. 3.2 Linear-quadratic optimal control In contrast to the general stochastic optimal control problems defined for general Ma...

Ngày tải lên: 20/06/2014, 20:20

... nonselective growth conditions was proved. This observation is consistent with previous findings showing that the θ-type replication mode confers higher segregational and structural stability ... shaking speed (N) and the concentration (g l -1 ) of yeast extract (YE) and ammonium sulphate (AS) were selected based on their highly significant positive effect on phytase production....

Ngày tải lên: 20/06/2014, 20:20