Báo cáo toán học: "The asymptotic behavior of the average Lp−discrepancies and a randomized discrepancy" docx

... 6 The asymptotic behavior of the average L p −discrepancies and a randomized discrepancy Stefan Steinerberger ∗ Department of Financial Mathematics, University of Linz Altenbergstraße 69, A- 4040 ... imbalance, we make the interval slightly larger: We make a smaller and b larger (remember that we are on the torus, making a smaller if a is already 0 means rea...

Ngày tải lên: 08/08/2014, 12:22

... =3 )and( 6;m =1) the electronic journal of combinatorics 7 (2000), #R50 11 References [1] M. Abramowitz and I .A. Stegun, Eds., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical ... comments and suggestions which have led to a substantially improved paper. An Asymptotic Expansion for the Number of Permutations with a Certain Number of Inversions...

Ngày tải lên: 07/08/2014, 06:20

... and topology and in other branches of mathematics and physics, such as Boole’s algebra, operational researches, theory of algorithms and graphs, combinatorial analy- sis, nuclear and astrophysics, ... fluxes and the like. ED was primarily engaged in 2D and 3D graphics and visualization functions and their zeros and examining many singularities. All of the previou...

Ngày tải lên: 20/06/2014, 21:20

... Generations of the Rudvalis Group Ru Ali Reza Ashrafi 1 and Ali Iranmanesh 2 1 Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran 2 Department of Mathematics, Tarbiat ... 6 Ali Reza Ashrafi and Ali Iranmanesh Case 4. Ru is 7A- complementary generated. If pY ∈Athen by Table 1 and Ta- ble 3, there is no maximal subgroup of Ru that contains (pY, 7...

Ngày tải lên: 06/08/2014, 04:21

... Everything below is phrased in terms of the Riemann ξ-function, but the manipulations work equally well for any function such that it and all of its derivatives have the same number of zeros. We write ... inequality (3) is not simultaneously sharp for all n, and this possibility imparts some weakness to the result. A lower bound for N d (T) was calculated in [CGG] in a s...

Ngày tải lên: 07/08/2014, 06:20

... MA 02138, USA cohn@math.harvard.edu Dedicated to my grandparents Garnette Cohn (1907–1998) and Lee Cohn (1908–1998) Abstract. We study the 2-adic behavior of the number of domino tilings of a ... Classification. 0 5A1 5, 1 1A0 7. The author was supported by an NSF Graduate Research Fellowship. 1 the electronic journal of combinatorics 6 (1999), #R14 7 Proof. The proof i...

Ngày tải lên: 07/08/2014, 06:20

... loops are con- sidered. Note that the iterated line graph of a path eventually becomes the empty graph and that the iterated line graphs of cycles and K 1,3 (whose line graph is a tri- angle) ... the maximum and minimum degree both have order Θ(2 k ). Niepel, et al., have conjectured that the maximum degrees of all iterated line graphs, with the exception of path...

Ngày tải lên: 07/08/2014, 06:20

... w 1 is a standard n d 1 -variable matrix, w 2 is a standard n d 2 -variable matrix, and the space associated with w 1 is contained in the space associated with w 2 , then we will say that w 1 is a ... r-cell partition of the standard n d -variable matrices over M N k (d), there exists a standard t d -variable matrix over M N k (d) all of whose standard n d -variable submat...

Ngày tải lên: 07/08/2014, 06:20

... and treated in the theses [10] and [15]. The PPC first appeared in the literature in 1983, in a paper by Laborde, Payan and Xuong [11]. Although that paper dealt mainly with directed graphs, they ... ( A ) ≤ a and τ(B) ≤ b is called an (a, b)-partition of G.IfG has an (a, b)-partition for every pair (a, b) of positive integers such that a + b = τ(G), then we say that...

Ngày tải lên: 07/08/2014, 13:21

... self-contained and completely elementary proofs of the combinatorial interpretation and closed formulas for the Laurent polynomial expressions of the elements x m and s n . 2 Results We start by ... basis. As a special case of the Laurent phenomenon established in [3], A is contained in the Laurent polynomial ring Z[x ±1 1 , x ±1 2 ]. In particular, all x m and s n...

Ngày tải lên: 07/08/2014, 13:21