Báo cáo toán học: "Combinatorics of the three-parameter PASEP partition function" docx

... 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...

Ngày tải lên: 07/08/2014, 13:21

... 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...

Ngày tải lên: 08/08/2014, 12:23

... 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...

Ngày tải lên: 08/08/2014, 14:22

... 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...

Ngày tải lên: 20/06/2014, 20:20

... 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...

Ngày tải lên: 20/06/2014, 20:20

... 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...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... 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...

Ngày tải lên: 07/08/2014, 06:22