Báo cáo toán học: "Generalisations of the Tits representation" potx

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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, 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

... 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

... [3], these tile the sphere uniquely up to reflection. 6 Conclusion This paper lists all the right spherical triangles with asymptotically right V 1 that tile the sphere. The set of such triangles ... gives us Figure 29c; but there is no way to the electronic journal of combinatorics 13 (2006), #R48 27 Tilings of the sphere with right triangles I: Th...

Ngày tải lên: 07/08/2014, 13:21

... 27 ◦ )andvertexvectors(0, 2, 8), (0, 5, 0), (1, 0, 10), (1, 3, 2), (2, 1, 4), and (4, 0, 0). Its area is 1/80 that of the sphere. Theorem 2 The triangle T 8 does not tile the sphere. Proof: As before, we examine the ... now find the vertex vectors (a, b, c) of the triangles T n . Proposition 1 The vertex vectors of T n are precisely (0, 2 ,n),...

Ngày tải lên: 07/08/2014, 13:21

... each t i , as should be. As a the electronic journal of combinatorics 13 (2006), #R110 10 Proof of the Razumov–Stroganov conjecture for some infinite families of link patterns P. Zinn-Justin Laboratoire ... prove the Razumov–Stroganov conjecture relating ground state of the O(1) loop model and counting of Fully Packed Loops in the case of certain types...

Ngày tải lên: 07/08/2014, 13:21

... our proof of (72) and thereby (71). Of course, θ u is the inverse of the restriction F 0 : R I (u, −) → K n of the functor F . We define a left K n -action on R I (u, −), the vertex set of Γ(u), ... it is correct. The dashed triangle is precisely 1/8 of the whole graph. The colour preserving automorphism group of Γ is of order 8 and generated by the reflections i...

Ngày tải lên: 07/08/2014, 21:21