Báo cáo toán học: " Exterior Pairs and Up Step Statistics on Dyck Paths" ppsx
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...
Báo cáo toán học: "Counting peaks and valleys in k-colored Motzkin paths" doc
... 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...
Báo cáo toán học: "Grid classes and the Fibonacci dichotomy for restricted permutations" ppsx
... 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, .....
Báo cáo toán học: "Rationality, irrationality, and Wilf equivalence in generalized factor order" ppsx
... show that the generating function M (u) =
wu
|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....
Báo cáo toán học: "Permutation Tableaux and the Dashed Permutation Pattern 32–1" ppsx
... 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...
Báo cáo toán học: " The structural and optical properties of GaSb/InGaAs type- quantum dots grown on InP (100) substrate" ppt
... 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
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Báo cáo toán học: " Structural, optical and magnetic studies of manganese-doped zinc oxide hierarchical microspheres by self-assembly of nanoparticles" docx
...
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...
Báo cáo toán học: " Weak compactness and the Eisenfeld-Lakshmikantham measure of nonconvexity" potx
... 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...
Báo cáo toán học: " Combined perception and control for timing in robotic music performances" ppt
... 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...
Báo cáo toán học: "Heterologous expression and optimization using experimental designs allowed highly efficient production of the PHY US417 phytase in Bacillus subtilis 168" ppt
... 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....
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