Báo cáo toán học: "Lindel¨f Representations and (Non-)Holonomic o Sequences" docx

... with the observation that φ(s) = e cs θ is non-analytic and non-polar at 0. The the electronic journal of combinatorics 17 (2010), #R3 3 to be non-holonomic as soon as the set of of poles of φ(s) ... (φ(n)) n1 is not holonomic. Proof. This follows readily from the expansion (18) and the holonomicity criterion (1). Without loss of generality, we assume that s 1 has maximal real part among...

Ngày tải lên: 08/08/2014, 11:20

Ngày tải lên: 05/08/2014, 15:20

... the definition of M γ that evaluate to 1. It would also be of interest to relate the observations of this section to Schur functions. One possibility is to consider the following generalization of the complete ... has no node whose only child is a left child. Proof. We have s n−1 > s n if and only if the rightmost node s n has a (lone) left child. The proposition now follows from Lemma 7....

Ngày tải lên: 07/08/2014, 21:20

... following coro lla ry of Theorem 8 which is a useful tool for the applications. As opposed to multiplication of generators, the corollary says that reduced multiplication of segments is a “local ... for the homology and cohomology of affine Grassmannians, and hypergeometric identities. However, none of the previous work seems to address the complete set of affine Weyl groups as we do in this...

Ngày tải lên: 08/08/2014, 01:20

... family of finite sequences of coefficients {d l (m)} were ∞-logconcave. Boros and Moll then point out that showing that the binomial coeffi- cients are ∞-logconcave (project 7.9.3 in [1]) would go a long ... belong to one of the above cases. Our approach to the problem is the following: for a given sequence of the form above of length 2n + 3 or 2n + 4 we analyze the dynamics of L on the subset o...

Ngày tải lên: 07/08/2014, 15:23

... Distinct cases of adjacency tion 3.2 and Proposition 3.3, respectively. Proposition 3.1 Let τ ∈ Ω(P r , T ). Then τ does not contain a pair of tiles in the position of Figure 15–A. Proof. Suppose that ... set, up to an isomorphism, of all dihedral f-tilings of S 2 whose prototiles are P r and T . From now on P r (r ≥ 5) is a r-sided regular polygon of internal angle α and edge length a...

Ngày tải lên: 07/08/2014, 15:23

... around each vertex is π. A f-tiling τ is said to be monohedral if it is composed by congruent cells, and dihedral if every tile of τ is congruent to one of two fixed sets X and Y (prototiles of ... Introduction Spherical folding tilings or f-tilings for short, are edge-to-edge decompositions of the sphere by geodesic polygons, such that all vertices are of even valency and the sum of alt...

Ngày tải lên: 07/08/2014, 21:20

... is impossible. Therefore, α+2γ +δ = π and we may add some new cells to the configuration in Figure 39. Choosing for tile 7 one of its two possible positions, we end up at the configuration in Figure ... > π 3 and γ + δ > π 2 . Extending the configuration above, tile 8 has two possible positions as is shown in Figure 56-I and II. Figure 56: Local configuration. the electronic journal o...

Ngày tải lên: 07/08/2014, 21:21

... useful to start by considering one of its local configurations, beginning with a common vertex to two tiles of τ in adjacent positions. In the diagrams that follows it is convenient to label the ... be now analyzed separately in the following propositions. Proposition 2.1 With the above terminology, if θ 1 = β, then Ω (Q, T ) = ∅. Proof. Suppose that we have two cells in adjacent positions ......

Ngày tải lên: 08/08/2014, 01:20

... below). For information about publishing your research in EURASIP WCN go to http://jwcn.eurasipjournals.com/authors/instructions/ For information about other SpringerOpen publications go to http://www.springeropen.com EURASIP ... (28) 16 21. BO Hogstad, M P¨atzold, Capacity studies of MIMO models based on the geometrical one-ring scattering model, in Proc. 15th IEEE Int. Symp. on Personal, In...

Ngày tải lên: 20/06/2014, 20:20