Báo cáo toán học: "Combinatorics of the three-parameter PASEP partition function" docx
Báo cáo toán học: "Combinatorics of the free Baxter algebra" ppt
... 3,
the first time that one of the patterns listed in the left column of the table is found, write
the corresponding value of the right column, and continue with the rest of the path. Let
p
be the ... We calculate the
dimensions of the homogeneous components of these algebras (with respect to a
bidegree related to the number of nodes and the number of...
Báo cáo toán học: "Combinatorics of the three-parameter PASEP partition function" docx
... from the ith point to the σ(i)th point for a ny i. This
arrow is above the axis if i ≤ σ(i), below the axis otherwise. Then wex(σ) is the number
of ar rows above the axis, and cr(σ) is the number ... following
theorem.
Theorem 3.2.4. The polynomial y
¯
Z
N
is the generating function of Laguerre histories of
N + 1 steps, where:
• the parameters y and q are given by t...
Báo cáo toán học: "Ramanujan Type Congruences for a Partition Function" docx
... 0 (mod 9). (3.1)
Note that the result in the above theorem is best possible, in the sense that the
modulus, 3, cannot be replaced by a higher p ower of 3.
Proof. By Theorem 2.1, we see that
∞
n=0
b(n)q
n
=
A(q
6
)(q
9
; ... [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...
Báo cáo toán học: " Enhancement of the photoelectric performance of dye-sensitized solar cells by using Ag-doped TiO2 nanofiber in TiO2 nanoparticle film as an electrode" pot
... understood by either
looking at the improved connection of TiO
2
nanoparticles or the Ag effect of the electrons during
transition. The increased electron lifetime and the reduction of the electron ... increase the solar
conversion efficiency in DSSCs, have been studied about photoelectrodes such as synthesis of
the wide bandgap of TiO
2
, the small particle si...
Báo cáo toán học: " Performance of the audio signals transmission over wireless networks with the channel interleaving considerations" pot
... show the variation of the Cr and the MSE of the
received audio signals with the channel SNR, respectively. These figures
reveal that the proposed chaotic interleaver improves the quality of the ... 16 gives the throughput variation with the
different velocity of the mobility. So, these results indicate the mobility
effects on the different metric of th...
Báo cáo toán học: " Refinements of the Heinz inequalities" ppt
... More matrix forms of the arithmeticgeometric mean in-
equality. SIAM J. Matrix Anal. Appl. 14, 132–136 (1993)
2. Kittaneh, F: On the convexity of the Heinz means. Integ. Equ. Oper. Theory
68, 519–527 ... on the interval [a, b]. Then
f
a + b
2
≤
1
b − a
b
a
f(t)dt ≤
f(a) + f( b)
2
.
In [2], Kittaneh obtained several refinements of the Heinz inequalities by
using the prev...
Báo cáo toán học: " ASYMPTOTICS OF THE NUMBER OF k-WORDS WITH AN -DESCENT" pot
... denote the number of such k-tableaux. It is well known that s
k
(λ)is
the degree of a corresponding irreducible character of GL(k, C) (or of SL(k, C)).
The numbers w(k, ; n) are given by
Theorem ... associated with strips of Young diagrams, Adv. in Math.
41 (1981), 115–136.
ASYMPTOTICS OF THE NUMBER OF
k-WORDS WITH AN -DESCENT
Amitai Regev
∗
Department of Mathematics...
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