Báo cáo toán học: "On a class of hyperplanes of the symplectic and Hermitian dual polar spaces" doc

... 00 ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ∈ M q j . (12) 3 Main results-Solution space form of a consistent boundary value problem In this section, the main results for a consistent boundary value problem of types (1) and (2) are analytically presented. ... computation of the Jordan canonical form of regular matrix polynomials. Linear Algebra Appl. 385, 117–130 (2004) doi:10.1186/1687-1847-2...

Ngày tải lên: 20/06/2014, 22:20

... RESEARCH Open Access On a class of second-order nonlinear difference equation Li Dongsheng 1* , Zou Shuliang 1 and Liao Maoxin 2 * Correspondence: lds1010@sina. com 1 School of Economics and Management, ... University of South China, Hengyang, Hunan 421001, People’s Republic of China Full list of author information is available at the end of the article Abstract In thi...

Ngày tải lên: 20/06/2014, 22:20

... 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

... follows that the polynomial P (X)=(X + x)(X + x)(X + y)(X + y) On a Class of Constant Weight Codes Mihai Caragiu Institute of Mathematics Bucharest and Department of Mathematics, Pennsylvania State ... of all the rows of the remaining matrix can be seen (by replacing each occurrence of a −1 with 0) as a nonlinear code of length n =4t −1havingaconstantweight[n/2] = 2...

Ngày tải lên: 07/08/2014, 06:20

... 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

... ,|E|, assign to w i,j the list L(w i,j )=e j . the electronic journal of combinatorics 9 (2002), #N9 2 On a theorem of Erd˝os, Rubin, and Taylor on choosability of complete bipartite graphs Alexandr ... t-coloring of a hypergraph H is panchromatic if each of the t colors is used on every edge of G. Thus, an ordinary 2-coloring is panchromatic. Some results...

Ngày tải lên: 07/08/2014, 06:23

... 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

... 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

... 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

... 5 1A4 5, 5 1A5 0 Abstract Let ∆ be a symplectic dual polar space DW (2n−1, K) or a Hermitian dual polar space DH(2n − 1, K, θ), n ≥ 2. We define a class of hyperplanes of ∆ arising from its Grassmann-embedding ... lemma, we collect some the electronic journal of combinatorics 16 (2009), #R1 11 On a class of hyperplanes of the symplectic and Hermi...

Ngày tải lên: 07/08/2014, 21:21

... 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

... 7 On a Generalization of Meyniel’s Conjecture on the Cops and Robbers Game Noga Alon ∗ Tel Aviv University and Institute for Advanced Study, Princeton nogaa@tau.ac.il Abbas Mehrabian Department ... 05C57 Abstract We consider a variant of the Cops and Robbers game where the robber can move s edges at a time, and show that in this variant, the cop nu...

Ngày tải lên: 08/08/2014, 12:23

... discussions with Eva Czabarka, Ida Kantor, Gyula O.H. Ka t ona, Nathan Lemons, Bal´azs Patk´os, L´aszl´o Sz´ekely, and Jacques Verstraăete. The author thanks the NSF for funding her and IPAM for hosting ... University of California San Diego, La Jolla, CA, 92093, USA. E-mail: anchowdh@math.ucsd.edu the electronic journal of combinatorics 18 (2011), #P56 1 Frankl and Făuredi [7] v...

Ngày tải lên: 08/08/2014, 14:22

... 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