Báo cáo toán học: "ON PRIMITIVE 3-SMOOTH PARTITIONS O" pdf

... analysis of the capacity of N∗Nakagami-m channels. Specifically, we have studied the influence of the severity of fading and the number of hops on the PDF, CDF, LCR, and ADF of the channel capacity. ... the expressions for the statistical properties of the channel capacity C(t). Again, by applying the concept of transformation of random variables...

Ngày tải lên: 20/06/2014, 20:20

... appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. On generalized weakly directional contractions and approximate fixed point property with applications Fixed ... work is properly cited. On generalized weakly directional contractions and approximate fixed point property with applications Wei-Sh...

Ngày tải lên: 20/06/2014, 20:20

... norm on R d . In recent years, there has been an increasing interest in the study of the asymptotic behavior of the solutions of both convolution and non-convolution-type linear and nonlinear Volterra ... aim in this section is to obtain sufficient condition for the boundedness of the solution of (1.1) under the initial condition (1.2), but in the linea...

Ngày tải lên: 20/06/2014, 20:20

... lines respectively). In the latter circumstance g(n) ≥ 2 a+1 · 3 5  3 L−a + k 2  γ ON PRIMITIVE 3-SMOOTH PARTITIONS OF n Michael R. Avidon Submitted: September 30, 1996, Accepted: December 2, ... 1996 This paper is dedicated to Paul Erd˝os, on the sad occasion of his recent death. Abstract. A primitive 3-smooth partition of n is a representation of n as the sum of numbers of the...

Ngày tải lên: 07/08/2014, 06:20

... contains some concluding remarks and related questions. 2. Background and results Noncrossing partitions. We first recall the definition of noncrossing partitions for the classical reflection groups ... address: athana@math.upenn.edu ON NONCROSSING AND NONNESTING PARTITIONS FOR CLASSICAL REFLECTION GROUPS CHRISTOS A. ATHANASIADIS Abstract. The number of noncrossi...

Ngày tải lên: 07/08/2014, 06:22

... of a cycle or a union of cycles of the permutation π : x → 2x of Z n (the map is a permutation since gcd(2,n) = 1). Only one cycle of D (and of π) has length 1, namely {0}.Foreachm-cycle C of ... family of all k-cycles by C k . For example, a 2-cycle consists of a pair of vertices and a pair of edges such that the pair of vertices is a subset of each edge. The above...

Ngày tải lên: 07/08/2014, 07:21

... connection of the Rota-Baxter relation to the Riemann-Hilbert problem in the realm of perturbative Quantum Field Theory is reviewed. The algebraic properties of the associative notion of the Nijenhuis ... particular, the third term on the right- hand side of (14) is related to the second term on the left-hand side of the associative Nijenhuis relation (1). It has...

Ngày tải lên: 07/08/2014, 08:20

... contains a subgraph on k − 1 vertices not in In(H) and by Proposition 2, there is a k-coloring of G avoiding rainbow induced copies of H. Therefore, if any k-coloring of G contains a rainbow induced ... x 10 .Butthen {x 10 ,x 1 ,x 2 ,x 5 } induces a rainbow Λ, a contradiction. Claim 3. Any coloring of G(3) in 4 colors contains an induced rainbow Λ. Let c be a coloring of...

Ngày tải lên: 07/08/2014, 13:21

... between the LR-tableaux A of shape A and 1s in the top boxes of every column and arbitrary LR-tableaux D of shape D, where D is the skew diagram A with the top boxes of every column removed, simply ... A and B. A skew diagram is connected if it does not decay. A skew character whose skew diagram D decays into disconnected (skew) diagrams A, B is equivalent to the product...

Ngày tải lên: 07/08/2014, 15:22

... our theorems, proved in the context of partitions, imply new results about pattern-avoiding fillings of Ferrers shapes and pattern-avoiding ordered graphs. Apart from these results, we also present ... with exactly m blocks (see sequence A008277 in [22]). Sagan [21] has described and enumerated the pattern-avoiding classes P (n; π) for the five patterns π of length three. We summarize the...

Ngày tải lên: 07/08/2014, 15:23

... (A(K)), and h. The object ensured by it must be equal to K and thus K  L. ✷ the electronic journal of combinatorics 15 (2008), #R75 5 On growth rates of permutations, set partitions, ordered graphs ... case of one-element set we write x < B instead of {x} < B. For a set X and k ∈ N we write  X k  for the set of all k-element subsets of X. Acknow...

Ngày tải lên: 07/08/2014, 21:20

... we formulate the main theorem of the paper: the equality of doubly refined enumerations of Alternating Sign Matrices and of Totally Symmetric Self-Complementary Plane Partitions. Section 4 contains the ... proof is the main focus of the present work: Theorem. The number of ASMs of size n with the 1 of the first row in the (i + 1) st posit...

Ngày tải lên: 07/08/2014, 21:20

... journal of combinatorics 15 (2008), #R111 10 On the S n -modules generated by partitions of a given shape Daniel Kane 1 and Steven Sivek 2 1 Department of Mathematics, Harvard University dankane@math.harvard.edu 2 Department ... 2008 Mathematics Subject Classification: 05E10 Abstract Given a Young diagram λ and the set H λ of partitions of {1, 2, . . . , |λ|} of...

Ngày tải lên: 07/08/2014, 21:20

... x + 2y ≡ 7 (mod 8). To see this, we only need to inspect when (−1) n+j is +1 and when it is −1. We leave the details to the reader. 3. Conclusions The partition functions contained in this paper ... intimately related to the arithmetic of Z[ √ 2]. Unfortunately we have little information on the combinatorial behavior o f these functions. We also mention that we may easily manipula...

Ngày tải lên: 07/08/2014, 21:21

... each of which has a parallel class in one colour. The proof depends on the construction of a biembedding of a pair of Latin squares of side p, one of which has p 2 (p − 2)/8 subsquares of side ... biembeddings of Latin squares where paratopic copies are a llowed, and statements about particular realizations of Latin squares. For Latin squares A and A ′ with common...

Ngày tải lên: 08/08/2014, 01:20