Báo cáo toán học: "On a Strange Recursion of Golomb" ppsx

... 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: ... complicated strange recursion (actually a family of recursions) b ( b ( n )+ kn )=2 b ( n )+ kn (1) 3. Analyzing the Descendant Sequence From what we have already seen, it is...

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. ... These numbers satisfy a 2nd-order polynomial recursion discovered by R. Ap´ery in 1978, while an analogous recursion (also 2nd-order and polynomial) for the numbers (2) was indicated by...

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 ... 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 appearances of...

Ngày tải lên: 07/08/2014, 08:22

... 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 union of conjugacy ... part of the argument that needs extra explanation is the analogue of Lemma 2.1 for a- derangements. the electronic journal of combinatorics 13 (2006), #R102 8...

Ngày tải lên: 07/08/2014, 13:21

... find a simple analogue. For example, the interpretation of S(n, k) as a rook number of a staircase Ferrers board generalizes in a beautiful fashion to the interpretation of S s;h (n, k) as a s-rook ... 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, Israe...

Ngày tải lên: 08/08/2014, 14:23

... the above lemmas, remarking that we have exhausted all possible values of l n (τ  ). 4 Advantage of coalition of two of three players Although in a two-person game, it is possible for one player ... τ overlapping a suffix of σ 1 = τ 1 c 1 τ 2 cannot match c 1 against ¯c 1 , nor can ¯c 1 match against something in τ 1 , as τ 2 is the maximum length suffix of σ 1 matching against...

Ngày tải lên: 07/08/2014, 21:21

... 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 Revised August...

Ngày tải lên: 06/08/2014, 05:20

... growth, J. Math. Anal. Appl. 305 (2005) 291–295. 4. I. Gy˝ori and G. Ladas and P. H. Vlahos, Global attraction in a delay difference equation, Nonlin. Anal. 17 (1991) 473–479. 5. G. Karakostas, Ch. ... and global stabil- ity in models of population growth, J. Math. Anal. Appl. 308 (2005) 195–207. 3. Dang Vu Giang and Dinh Cong Huong, Nontrivial periodicity in discrete delay models of pop...

Ngày tải lên: 06/08/2014, 05:20

... Mannigfaltigkeiten”. Representation Categories of Matrix Quantum Groups of Type A 363 3. Bi-Galois Extensions Let A be a Hopf algebra over a field k.ArightA-comodule algebra is a right A- comodule with the structure of an algebra ... representation category of such a quantum group is uniquely determined as an abelian braided monoidal category by the bi-rank of the Hecke...

Ngày tải lên: 06/08/2014, 05:20