Báo cáo toán học: " On a Balanced Property of Derangements" pptx

... 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

... 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: ... 1. From the relations among the initial conditions, and the fact that all these polynomials satisfy the same recursion which obviously generates an increasing sequence, it follows...

Ngày tải lên: 07/08/2014, 06:20

... t exp wzt 1+zt  , where L (r) w (f)= 1 r! w r ∂ r f ∂w r     w=1 and Θ w : w k → k!w k . The combinatorial nature of the transformations leads one to ask whether combinatorial objects and constructions exist for each expression so that one can obtain generalized Stockhausen ... have all n non-terminal symbols, we give a combinatorial interpretation for the transformation L (r) w . Af...

Ngày tải lên: 07/08/2014, 06:20

... denominators of rational approximations to ζ(3). These numbers satisfy a 2nd-order polynomial recursion discovered by R. Ap´ery in 1978, while an analogous recursion (also 2nd-order and polynomial) ... supported by an Alexander von Humboldt research fellowship and partially supported by grant no. 03-01-00359 of the Russian Foundation for Basic Research. the electronic journal of combi...

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 ... R.P. Stanley, Problem 10969, Amer. Math. Monthly, 109 (2002), 760. [5] R.P. Stanley, Some remarks on sign -balanced and maj -balanced posets (to appear). the electronic journal of...

Ngày tải lên: 07/08/2014, 08:22

... con- nection was rediscovered by Katriel [17] in connection with normal ordering expressions in the bo son annihilation a and creation operator a † satisfying the commutation relation aa † − a † a ... conventional Stirling number of second kind find a simple analogue. For example, the interpretation of S(n, k) as a rook number of a staircase Ferrers board generalizes in a...

Ngày tải lên: 08/08/2014, 14:23

... 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, ... 836–899. 3. G. Diaz, J. I. Diaz, and G. Barles, Uniqueness and continum of foliated solution for a quasilinear elliptic equation with a non Lipschitz nonlinearity, Commun. In Partial Diff....

Ngày tải lên: 06/08/2014, 05:20

... discrete delay models of population 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) ... 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 Hu...

Ngày tải lên: 06/08/2014, 05:20

... we construct a linear functional on M and show that this linear functional attains a non-zero value at some element of M. The construction of the linear functional resembles the integral on the ... 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...

Ngày tải lên: 06/08/2014, 05:20

... the solution of a number of problems of probability theory the method of distance function has attracted much attention and it has successfully been used lately as Abramov [1], Butzer and Kirschfink ... Introduction During the last several decades the probability metric approach has risen to become one of the most important tools available for dealing with certain types of large...

Ngày tải lên: 06/08/2014, 05:20