Báo cáo toán học: " On a Partition Function of Richard Stanley" pptx

... 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

... 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

... subdeterminants are in {±2 k : k ∈ Z}. An oriented matriod is dyadic if it has a totally dyadic represen- tation A. A dyadic oriented matriod is dyadic of order k if it has a totally dyadic representation A ... totally dyadic representation A. A dyadic oriented matriod is dyadic of order k if it has a totally dyadic representation A with full row rank a...

Ngày tải lên: 07/08/2014, 06:20

... York-London- Sydney, 1974. [6] A. Oppenheim, On an arithmetic function, J. London Math. Soc. 1 (1926), 205- 211. [7] M. V. Subbarao and A. Verma, Some remarks on a product expansion: an unex- plored partition function, ... reading of the manuscript and for correcting a crucial mistake in the proof of Theorem 2. References [1] P.T.Bateman,Privatecommunication. [2] D. Bowman, Private co...

Ngày tải lên: 07/08/2014, 06:22

... V is either in γ or is adjacent to a vertex in γ.Thedomination number D of G is the size of a dominating set of smallest cardinality. Domination has been the subject of extensive research; see ... zero as n →∞. The treatises of Bollob´as [2] and Janson et al. [8] between them cover the theory of random graphs in admirable detail. Dreyer [3] generalizes some resul...

Ngày tải lên: 07/08/2014, 06:22

... 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

... product over the vertices of G of the weights of the spins times the product over the edges of G of the weights of the spin-pairs. In this language Z W (G) is the partition function of the the electronic ... all of the edge-weights are either 0 or 1,andtherˆole of these weights is to exclude certain configurations from contributing to the partition...

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

... 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