Báo cáo toán học: "Compression of root systems and the E-sequence" pptx

... akroutkamel@gmail.com; ∗ Corresponding author Abstract In this paper, we are interested on the study of the nonexistence of nontrivial solutions for the p (x) −Laplacian equations, in unbounded domains of R n . This ... versions will be made available soon. Nonexistence of nontrivial solutions for the p(x)-Laplacian equations and systems in...

Ngày tải lên: 20/06/2014, 21:20

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... Vietnam Journal of Mathematics 33:3 (2005) 319–334 Subclasses of Uniformly Starlike and Convex Functions Defined by Certain Integral Operator Maslina Darus 1 ,AiniJanteng 2 , and Suzeini Abdul ... (α>0,β >−1) (5) and J α f(z)=z + ∞  n=2  α +1 α + n  a n z n , (α>−1). (6) Uniformly Starlike and Convex Functions Defined by Certain Integral...

Ngày tải lên: 06/08/2014, 05:20

... properties of the set of the hook numbers for some special families of (fixed) skew -Young diagrams (Theorem1.2). The problem appeared in the study of the hook formula for various kinds of Young diagrams. ... problem appeared in the study of the hook formula for various kinds of Young diagrams. The proofs are based on properties of shifted Schur functions, due t...

Ngày tải lên: 07/08/2014, 06:20

... motivations of Odlyzko and Wilf, when they study the width of labeled trees, is to give a tight estimate for the average bandwidth of this class of tree. 2 The breadth first search random walk From ... initially (0). Then, at each of the n following stages of the BFS, the vertex x at the head of the queue is removed from the queue, and all “new” neighbor...

Ngày tải lên: 07/08/2014, 06:22

... be the product of the weights of all the edges in the matching. Then the weight of the Aztec graph A is (A)=  m (m), the sum over all matchings of A. Using the tilted version of the Aztec diamond ... 1)-order Aztec diamond subgraphs A NW , A SW ,andA SE .LetA mid be the (n − 2)-order Aztec diamond subgraph of A lying directly in the middle, concentric wi...

Ngày tải lên: 07/08/2014, 08:20

... Crossing, nesting and alignments of two edges The numbers of crossings, nestings and alignments of two edges in π will be denoted by cr(π), ne(π)andal(π), respectively. For the partition π in Figure ... crossings and nestings of two edges in matchings, preprint, math.CO/0510676, 2005. [9] C. Krattenthaler, Growth diagrams, and increasing and decr...

Ngày tải lên: 07/08/2014, 13:21

... the generated bracketing covers. the electronic journal of combinatorics 15 (2008), #R95 2 Construction of Minimal Bracketing Covers for Rectangles Michael Gnewuch Department of Computer Science, ... covers of C d of cardi- nality Λ to construct δ -bracketing covers of R d of cardinality at most Λ 2 (cf. [11, Lemma 1.18]); that is why we can restrict ourselves...

Ngày tải lên: 07/08/2014, 21:20

... 4 2 These are the simple roots of E 8 , which span the E 8 lattice. They correspond to the vertices v 1 , . . . , v 8 of Dyn(E 8 ), in the order shown on the right. This ordering of simple the ... reflect the structure of the underlying root system. The main examples are E 6 and E 7 . 1 Introduction The primary goal of this paper is to provide a convenient way...

Ngày tải lên: 07/08/2014, 21:20

... follows that q + 1 − 6 √ q  R q  q + 1 + 6 √ q, (19) where R q is the number of points of Φ which lie in PG(2, q) . Therefore, U a,b ∩Ω is a k-arc with q − 6 √ q −2  k  q + 6 √ q −2 because ... νb 2 1 b 2 1  = 1, and φ(x) = 0 has no solutions in G F (q) . Now, let i ∈ GF (q 2 ) denote a root of φ(x); then i and i q are both roots of φ(x) and thu...

Ngày tải lên: 08/08/2014, 12:22

... horizon of both stands and in the organomineral horizon of the oak stand. Soils originating from the two stands showed distinct responses in net NO 3- production to the dolomite ... Original article Impact of dolomite lime on the ground vegetation and on potential net N transformations in Norway spruce (Picea abie...

Ngày tải lên: 08/08/2014, 14:21