Báo cáo toán học: "q-Eulerian polynomials and polynomials with only real zeros" potx

... feature of the type-I band transition. Therefore, the interband transition of the GaSb QD would be the only proper origin of the high-energy peak. In the growth process of the sample, the InGaAs ... light emission intensity of the GaSb QD could be stronger than the type II transition due to the stronger spatial confinement of carriers in the QD and the...

Ngày tải lên: 20/06/2014, 20:20

... formatted PDF and full text (HTML) versions will be made available soon. Structural, optical and magnetic studies of manganese-doped zinc oxide hierarchical microspheres by self-assembly of nanoparticles Nanoscale ... original work is properly cited. 1 Structural, optical, and magnetic studies of manganese-doped zinc oxide hierarchical micros...

Ngày tải lên: 20/06/2014, 20:20

... nonempty and closed sub- sets of B X such that lim n à(A n ) = 0, the set A = n=1 A n is nonempty and convex. (iv) The measure à satises the Cantor property in X. Proof. The equivalence of (i) and ... subsets of the bounded and convex set coC, then à(C n ) = 0 (n ∈ N), and therefore C ∞ = ∅. Appealing again to the ˇ Smulian theorem [6, Theorem V.6.2] we find t...

Ngày tải lên: 20/06/2014, 20:20

... engage in music performance via real-time interaction remained as one of the challenging problems in the field. Yet, robotic performance is criticized for being to mechanical and robotic [1]. In this ... methods for tempo tracking and rhythm quantization. J Artif Intell Res 2003, 18:45–81 [14] Raphael C: Music plus one and machine learning. In International Conference...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 15:21

... ÃÃÃ+ m à (n1) row n , and thus the determinant must vanish. 3 Recursion for quasi-triangular matrices We use the determinantal expressions for Jack and Schur polynomials to obtain recur- sive formulas. First ... these results yields a determinantal formula for the Schur functions and a recursion for the Kostka numbers. 1 the electronic journal of combinatorics 7 (2000...

Ngày tải lên: 07/08/2014, 06:20

... the identities (3.1), (3.2), (3.3), and (3.4) show that A [m] C   {z e } E   depends only on the matroid M C  . Hence, condition 2 in Theorem 15 is satisfied by the identities (3.2) and (3.3), ... several MacWilliams type identities, including those by Kløve and Shiromoto, and of the theorems of Greene and Barg that describe how the Tutte polynomial of the vector matroid...

Ngày tải lên: 07/08/2014, 06:23

... interpretation of moments of the characteristic polynomials enables an explicit formula to be obtained for the total number of two-rowed lexicographic arrays constructed from the letters of an alphabet of ... provided for the moments of characteristic polynomials of random unitary matrices. This leads to a rather unexpected con- sequence of the Keating and Snaith c...

Ngày tải lên: 07/08/2014, 07:21

... subcomplex of the boundary complex of a simplicial polytope. Sections 4 and 5 include applications of Theorem 1.1 to order polytopes of (not necessarily graded) posets and to stable polytopes of perfect ... collection of convex polytopes in R N such that (i) any face of a polytope in F is also in F and (ii) the intersection of any two polytopes in F is a (possi...

Ngày tải lên: 07/08/2014, 08:22

... record values and the length function. Two approaches are here systematically explored, us- ing the flag-major index on the one hand, and the flag-inversion number on the other hand. The MacMahon ... using the “fmaj” interpretation, on the one hand, and the “finv” geometry, on the other. In each case we will go beyond the three-variable case, as we consider the gene...

Ngày tải lên: 07/08/2014, 08:22

... mind, we define a partial f- factor of a graph G = (V, E) to be an ˜ f- factor of G where ˜ f( v) = f( v) ∪ {0} for all v ∈ V , and a partial f- factor of G is non-trivial if it is non-empty. Our next result ... sufficient condition for the existence of an f- factor of G. No necessary and sufficient condition for an f- factor exists when we allow |f( v)| ≥ 2, even when |f( v)|...

Ngày tải lên: 07/08/2014, 15:22

... Brenti and Brăanden about the q-Eulerian polynomials by the recurrence (1) and by induction. the electronic journal of combinatorics 15 (2008), #R17 4 q-Eulerian polynomials and polynomials with only ... (10) and the fact that A n (x) has only real zeros, Wilf can show that R n (x) has only real zeros for n ≥ 2 (see B´ona [1, Theorem 1.41] and Stanley [12] for det...

Ngày tải lên: 07/08/2014, 15:23

... ∞. References [1] Madras N and Slade G 1993 The Self-Avoiding Walk (Boston: Birkhăauser) [2] Hughes B D 1995 Random Walks and Random Environments, Vol I Random Walks (Oxford: Clarendon) [3] Vanderzande C 1998 ... quite straight-forward to generalise the algorithm to count twice punctured staircase polygons and in this case we obtained the series to perimeter 502 for k = 0, perimeter...

Ngày tải lên: 07/08/2014, 15:23

... + 1) (m − k)(m + k + 1) < 1. the electronic journal of combinatorics 17 (2010), #N37 7 Ratio Monotonicity of Polynomials Derived from Nondecreasing Sequences Willia m Y. C. Chen 1 , Arthur ... relations of the coefficients. Keywords: log-concavity, ratio monotonicity, Boros-Moll polynomials. 1 Introduction This pap er is concerned with the ratio monotone prop erty of p...

Ngày tải lên: 08/08/2014, 11:20

... paper we introduce multivariate hyperedge elimination polynomials and multivariate chromatic polynomials for hypergraphs. The first set of polynomi- als is defined in terms of a deletion-contraction-extraction ... Polynomial for Special Classes of Hypergraphs Here we study the multivariate chromatic polynomials of complete r-uniform hypergraphs, complete r-unifo...

Ngày tải lên: 08/08/2014, 14:23