Báo cáo toán học: "On a combinatorial problem of Asmus Schmidt" pps

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Ngày tải lên: 05/08/2014, 09:46

... C. Evans, Partial Diff. Equations, American Math. Society, 1998. 5. C. Vargas an d M. Zuluaga, On a Nonlinear Dirichlet Problem Type at Resonance and Bifurcation, Partial Differential Equations, ... Elliptic Equations on an Unbounded Domain Hoang Quoc Toan Fa culty of Math., Mech. and Inform. Vietnam National University, 334 Nguyen Trai, Hanoi, Vietnam Received Ma y 12, 2004...

Ngày tải lên: 06/08/2014, 05:20

... solution. Vietnam Journal of Mathematics 34:2 (2006) 163–170 On the Asymptotic Behavior of Solutions of a Nonlinear Difference Equation with Bounded Multiple Delay Dinh Cong Huong Hanoi Univ. of Science, ... Stable orbits and bifurcation of maps of the interval, Siam J. App. Math. 35 (1978) 260–267. On the Asymptotic Behavior of Solutions of a...

Ngày tải lên: 06/08/2014, 05:20

... On the other hand, many properties of the associated quantum groups to these solutions are obtained in an abstract way. The aim of this work is to study representation category of the matrix quantum ... E ij λ is the matrix of the basis element e ij λ in the representation ρ n ,the matrix C is given in (5). In particular, the left hand-side is zero...

Ngày tải lên: 06/08/2014, 05:20

... (2.4) On a Probability Metric Based on Trotter Operator 25 present section can be called the characteristic operator (or Trotter s opera- tor). We recall some definitions and properties of the Trotter ... 2006 Abstract. The main purpose of this paper is to present a probability metric based on well-known Trotter s operator. Some estimations related to the rate...

Ngày tải lên: 06/08/2014, 05:20

... sequences. Although only known tech- niques [G] are used, these are sophisticated, and the problem serves as a useful study of these techniques, and the algebraic analysis gives partial information about ... have all n non-terminal symbols, we give a combinatorial interpretation for the transformation L (r) w . After the application of L (r) w to A, the last step is the placement of...

Ngày tải lên: 07/08/2014, 06:20

... Department of Mathematics University of Toronto University of Toronto Toronto, Canada M5S 1A1 Toronto, Canada M5S 1A1 barbeau@math.utoronto.ca tanny@math.utoronto.ca Submitted: January 4, 1996; Accepted: ... February 1, 1996. “There are patterns I must follow just as I must breathe each breath” (Paul Simon, Patterns, 1964) Abstract In an unpublished note, Golomb proposed a family of...

Ngày tải lên: 07/08/2014, 06:20

... Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991), J. Comput. Appl. Math. 49:1–3 (1993), 243–249. [6] A. L. Schmidt, “Legendre transforms and Ap´ery’s sequences”, J. Austral. Math. ... On a combinatorial problem of Asmus Schmidt W. Zudilin ∗ Department of Mechanics and Mathematics Moscow Lomonosov State University Vorobiovy Gory, GSP-2, Moscow 119992 RUSSIA URL:...

Ngày tải lên: 07/08/2014, 08:20

... vertex. 2. The initial vertex of the next edge is v(j, ∓k). 3. Determine the direction of the next edge by the sign of the entry ∓k in list j and the direction of the preceding edge according to the ... combining the information about the direction of the first edge with the corresponding crossing yields a rule for the direction of the second edge. If...

Ngày tải lên: 07/08/2014, 08:20

... dealing with partitions whose parts are all  some given N.Welet¯π be that partition made up of the parts of π that are <N. In light of (11) we see that if N is a part of π an even number of ... questions. 2 The Main Theorem We begin with some preliminaries about partitions and their conjugates. For a given partition π with parts each  N,wedenotebyf i (π) the number of...

Ngày tải lên: 07/08/2014, 08:22

... define oriented arc-colorings of oriented graphs in a natural way by saying that, as in the undirected case, an oriented arc-coloring of an oriented graph G is an oriented vertex-coloring of the ... arcs of A  . Let G be an oriented graph and f be an oriented arc-coloring of G. For a given vertex v of G,wedenotebyC + f (v)andC − f (v) the outgoing color set of...

Ngày tải lên: 07/08/2014, 13:21

... number of descents, and [4] for some results on the number of excedances. Finally, a- derangements are a special case of a class of permutations, namely the set of all derangements of length n is a ...  Z(w) q  D n (1) q = D(n) q . ✸ 3.3 a- derangements Let us call a permutation p an a- derangement if each cycle of p is longer than a. So a permutation is a 0-...

Ngày tải lên: 07/08/2014, 13:21

... Buratti Peter Horak University of Washington Tacoma, WA 98402 horak@u.washington.edu Alexander Rosa McMaster University Hamilton, Ontario, Canada rosa@mcmaster.ca Submitted: Apr 9, 2008; Accepted: Jan 21, ... the sum of a j s must be at least as large as the g.c.d. (A J ) − 1 where A J contains q and all a i s that are not in J. The necessity of the above conditions can be shown...

Ngày tải lên: 07/08/2014, 21:21

... Moreover, a recent result by Alekseev and Tsimerman [1] a rmatively settled Rado s conjecture that for any r  3 there is a homogeneous linear equation that is not r-regular. We say that a linear equation ... H. Harborth and S. Maasberg. All Rado numbers for a( x + y) = bz, Disc. Math. 197/198:397 –407, 1999. [6] B. M. Landman and A. Robertson, Ramsey theory on integers,...

Ngày tải lên: 08/08/2014, 12:22

... combinatorics 18 (2011), #P77 15 On a new family of generalized Stirling and Bell numbers Toufik Mansour Department of Mathematics, University of Haifa, 31905 Haifa, Israel toufik@math.haifa.ac.il Matthias ... J., to appear. [22] M .A. Mendez, P. Blasiak and K .A. Penson, Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering...

Ngày tải lên: 08/08/2014, 14:23