Báo cáo toán học: "Indecomposable tilings of the integers with exponentially long periods" potx

... text (HTML) versions will be made available soon. Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations Advances in Difference Equations ... a number r ∈ (0, 1); 2. a sequence of complex numbers z n , |z n | < r; Further results of the estimate of growth of entire solutions o...

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... Ω N r → 0. 1. Introduction The notion of variational bicomplexes was introduced in studying the problem of characterizing the kernel and image of Euler-Lagrange mapping in the calcu- lus of variations. ... w 0 , (16) Vietnam Journal of Mathematics 33:3 (2005) 271–281 A Presentation of the Elements of the Quotient Sheaves Ω k r /Θ k r in Variational...

Ngày tải lên: 06/08/2014, 05:20

... 2004 Abstract. In this paper we establish some further applications of the KKM-maps principle in hyperconvex metric spaces such as Ky Fan inequality, fixed point theorems, minimax theorems, using the notion ... established main applications of this principle such as the Ky Fan minimax inequality, fixed point theorems, minimax theorems, equilibrium point theorems, in...

Ngày tải lên: 06/08/2014, 05:20

... program, linear perturbation, KKT point set, lower semicontinuity. 1. Introduction The problem of minimizing or maximizing a linear -quadratic function on a con- vex polyhedral set is called a quadratic ... Journal of Mathematics 34:4 (2006) 411–422 Lower Semicontinuity of the KKT Point Set in Quadratic Programs Under Linear Perturbations * G. M. Le...

Ngày tải lên: 06/08/2014, 05:20

... 1995 Bijective proofs of the hook formulas for the number of ordinary standard Young tableaux and for the number of shifted standard Young tableaux are given. They are formulated in a uniform ... provide a bijective proof of the hook formula for the number of shifted standard Young tableaux (and its q-analogue; see the Theorem in...

Ngày tải lên: 07/08/2014, 06:20

... that the graph Γ i is the i-th class of the scheme, and so we indistinctly use the words graph or “class” to mean the same thing. 2 The Proper and Adjacency Polynomials In this section we introduce ... trivial.) Then, by the converse of Theorem 2.5 , it must be Q k  u ≥ 1. On the other hand, in the proof of Theorem the electronic journal of combi...

Ngày tải lên: 07/08/2014, 06:20

... 3). We use the fact that there is a bijection between rhombus tilings of the hexagon and perfect matchings of the hexagon s ‘dual’ graph G (see Figure 2 for the construction of the dual graph and Figure ... are missing. In particular, Problem 4 of [8] asks for a formula for the number of rhombus tilings of a regular hexagon, where two of the six ce...

Ngày tải lên: 07/08/2014, 06:20

... A DETERMINANT OF THE CHUDNOVSKYS GENERALIZING THE ELLIPTIC FROBENIUS-STICKELBERGER-CAUCHY DETERMINANTAL IDENTITY Tewodros Amdeberhan Mathematics, DeVry Institute of Technology, North ... introduced a generalization of the Frobenius- Stickelberger determinantal identity involving elliptic functions that generalize the Cauchy determinant. The purpose of this n...

Ngày tải lên: 07/08/2014, 06:20

... invariant under the antipodal map, the number of matchings is the square of the number of matchings of the quotient graph. 2. The number of matchings of the edge graph of a graph with vertices of degree ... under the antipo- dal map, the number of matchings is the square of the number of matchings of the quotient graph. 2. The number of matc...

Ngày tải lên: 07/08/2014, 06:22

... vertices. The cycle C 6 is the edge-disjoint union of two paths of length 3 with common endpoints. In the first case, the graph has twelve paths of length 3; in the second there are six such paths. The ... vertex, then the graph has a third subgraph that is also a path of length n. For example, the complete graph K 4 is an edge-disjoint union of two paths of length...

Ngày tải lên: 07/08/2014, 06:23

... our construction for the proof of Theorem 2 the tile X has constant cardinality 15. 2. There is nothing magical about the choice of the primes 2, 3 and 5 in the proof of Theorem 2. Any three ... y z Q 3p 5q 2 A x Figure 1: The group Z 3p ì Z 5q ì Z 2 and (0, 0, 1). Then, in the bottom level of the tiling shift one of the columns along the x direction, say the s...

Ngày tải lên: 07/08/2014, 07:21

... under the map given by the Chinese Remainder Theorem (whereby the coefficient of x n becomes the value of the entry (n mod 2,n mod 3,n mod 5)). Thus the a a a a a a Figure 8: A 2 ì3 ì 5 inate of the ... running the full length of the array. Call a fiber any array consisting of a single line of 1’s running parallel to one of the co- ordinate axes and running the...

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