Báo cáo toán học: " Derangements and Euler’s difference table for C" potx

... 05A15, 05A30 Abstract Euler’s difference table associated to the sequence {n!} leads naturally to the counting formula for the derangements. In this paper we study Euler’s difference table associated ... combinatorics 15 (2008), #R65 22 Derangements and Euler’s difference table for C   S n Hilarion L. M. Faliharimalala 1 and Jiang Zeng 2 1 D´epartement de Math´emat...

Ngày tải lên: 07/08/2014, 15:23

... uniform decomposition. Dyadic decomposition divides the input signal bandwidth into the logarithmic set of bandwidths, whereas the uniform decomposition divides it into the uniform set of bandwidths. ... frequency subbands of the frame. Each frame of speech signal is decomposed (uniformly/dyadic) into different frequency subbands using discrete wavelet transform (DWT) and each subband...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 15:21

... expansion for it. Similar arguments are put forward to deduce a second-order difference equation and a new continued fraction for ζ(4) = π 4 /90. 1 Introduction One of the most crucial and quite ... polynomials p(n) and q(n) are given in (3). The multiple-integral representation for the linear forms u n G − v n similar to those obtained by F. Beukers in [4], formula (5), for th...

Ngày tải lên: 07/08/2014, 07:21

... bounded below since  is bou nded above, and hence from (H 6 ) and (H 7 ) we find that both (H 1 ) and (H 2 )holdfor(X, d, ≼ 1 ) and j. Finally, Theo- rem 2 forces that (X, ≼ 1 ) has a maximal point ... below. For each x Î X,wehavex ≥ Tx and hence x ≼ Tx.Leth(t)=t 2 .Thenh -1 ({0}) = {0}, (H 4 )and( H 5 ) are satisfied. Clearly, (2) holds for each x, y Î X with x = y. For eac...

Ngày tải lên: 20/06/2014, 21:20

... 1, a n−1 =2 n |E n ( (−1) n +1 4 )|;(i) b n =4 n |E n ( 1 4 )|;(ii) d n =4 n |E n ( (−1) n +1 4 )−E n ( 1 4 )|;(iii) c 3,n =6 2n |E 2n ( 1 3 )|;(iv) d 3,n =6 2n−1 |E 2n−1 ( 1 6 )|.(v) Proof. For (i), note first that a n−1 is Q n (0) for n even, and P n (0) for n odd; then use equations (10) and (11). For (ii), use equation (12). For (iii), observe from equation ... −Q n (1) for...

Ngày tải lên: 07/08/2014, 06:20

... union of H and the clique K t by adding all edges between them. Clearly, the Haj´os Conjecture holds for H if and only if it holds for ˜ H t . Let v and e (˜v and ˜e) be the number of vertices and edges ... 0(mod3)andt ≡ 0(mod3), (B) v + e ≡ 0(mod3)andt ≡ 1(mod3),or (C) e −v ≡ 2(mod3)andt ≡ 2(mod3). Conjecture 4.3 For every graph H, there exists a constant t 0 such that for...

Ngày tải lên: 07/08/2014, 08:22

... vertices, v 1 and v 2 , with the centres of stars. We shall write T = C(a, b, c, d, e), if P has length a + c+ e, and v 1 and v 2 are the (a + 1)th and (a + c + 1)th vertex on P , and have b, resp. ... k, and the set S := V (G) \ L. Hence, the Loebl–Koml´os–S´os conjecture is true for all trees of diameter at most 3. Barr and Johansson [2], and independently Sun [11], proved...

Ngày tải lên: 07/08/2014, 21:20

... saturated. In Sections 3 and 4, we study the equivalence classes of light pat- terns and introduce two types of normal forms for them. Formulas are given to calculate these normal forms and switchability ... have the following explicit fo r mula for the normal form of a pattern: Theorem 3.2 (Normal Form Formula). Let a ∈ I := I 1 × I 2 × · · · × I n . The normal form N a (U) of a pa...

Ngày tải lên: 08/08/2014, 14:22

... expands the boundaries of signalling mediators, and it is therefore not unlikely that Sky and Mer could be involved in Table 1. Affinities of Gas6 and protein S for Axl, Sky and Mer RTKs within and ... ligand for Rse and Axl. J Biol Chem 271, 9785– 9789. 84 Godowski PJ, Mark MR, Chen J, Sadick MD, Raab H & Hammonds RG (1995) Reevaluation of the roles of protein S and Ga...

Ngày tải lên: 19/02/2014, 05:20