Báo cáo toán học: "Combinatorics of the free Baxter algebra" ppt

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Ngày tải lên: 20/06/2014, 20:20

... 2DH1&2DM 1 packets over a correlated Rayleigh fading channel at SNR = 15 dB with different 1 Performance of the audio signals transmission over wireless networks with the channel interleaving ... show the variation of the Cr and the MSE of the received audio signals with the channel SNR, respectively. These figures reveal that...

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...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

... 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 The Pennsylvania State ... −1)! Standard and Semistandard Tableaux. Let λ  n (i.e. λ is a partition of n). A tableau of shape λ, filled with 1, ···,n, is standard if the numbers in it are in...

Ngày tải lên: 07/08/2014, 06:22

... so els (n) =ols (n) . On the other hand, Alon and Tarsi [1] conjectured: Conjecture 1 (Alon-Tarsi) If n is even then els (n) =ols (n) . Equivalently, the sum of the signs of all L ∈ LS (n) is nonzero. ... odd, then AT (n) =0 and AT (n +1) =0 = AT( 2n) =0 . Together, these imply the truth of the Alon-Tarsi conjecture for n =2 r (p+1) for any r ≥ 0 and...

Ngày tải lên: 07/08/2014, 06:22

... ,a r )-free coloring of V (G), a contradiction. 3 Proof of Theorem D. According to the lemma, it follows from G → (2, 3, 4) that G → (2, 2, 2, 4). Therefore F (2, 2, 2, 4; 6) ≤ F( 2, 3, 4; 6) and ... [15]); F (3, 4; 5) = 13 [10]; F (2, 2, 4; 5) = 13 [11]; F (4, 4; 6) = 14 [14]. In this note we determine two additional numbers of...

Ngày tải lên: 07/08/2014, 06:23

... exist singly-repairable subfamilies of Z n 2 of size Θ(2 n /n) for all even n. (ii) There exist singly-repairable subfamilies of Z n 2 of size 2 n+1 n+2 when n is of the form 2 m − 2. Proof. (i) ... from any element of A i to an element of A i±1 and from any element of G i to an element of G i±1 , there is a break/repair path from any element of the B i ∪B i+1 to some...

Ngày tải lên: 07/08/2014, 13:21

... 2. 3 Proofs of the first two Propositions Proof of Proposition 1. This proof relies on this simple standard algorithm for con- verting a list of all partitions of { 1, ,n} into a list of all partitions ... partitions of { 1, ,n+1}: 1. To each partition of { 1, ,n}, add the 1-member-set { n +1} as a new block. This gives a list of some of the partitions of { 1, ,n+1}. 2. To...

Ngày tải lên: 07/08/2014, 13:21

... 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 ... linear bases of the free Baxter algebras. These results are used to calculate the dimensions of the homogeneous compo- nents of the free Baxter al...

Ngày tải lên: 07/08/2014, 13:21

... = 3 n−1 +1 2 ; the electronic journal of combinatorics 13 (2006), #R31 3 Completion of the Wilf-Classification of 3-5 Pairs Using Generating Trees Mark Lipson ∗ Harvard University Department of Mathematics Cambridge, ... sites: the leftmost k sites and the site immediately to the left of π i . One child is of form 1A, one is of form 2A, and the others are...

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: ã the parameters y and q are given by t...

Ngày tải lên: 08/08/2014, 12:23