Báo cáo toán học: " Some geometric probability problems involving the Eulerian numbers" ppsx

... upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Some properties of an integral operator defined by convolution Journal of Inequalities and Applications ... (http://creativecommons.org/licenses /by/ 2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited....

Ngày tải lên: 20/06/2014, 21:20

... − 2 3  2π 2 − 46 3  . The fourth derivative of the HC on the argument n, and the common radius is of the form Figure 8 The HC and its derivative with the HC maximum location and optimum for the value of the degree ... 2)  . In general, the HC of the mth derivative of n can be defined on the basis of the pro- duct of polygamma (psi) polynomial of t...

Ngày tải lên: 20/06/2014, 21:20

... q-Bernoulli, q-Euler numbers, and polynomials. 2. q-Bernoulli, q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on ℤ p In this section, we provide some basic formulas ... functions of the q-Bernoulli, q-Eule r numbers, and polynomials. We shall provide some basic formulas for the q-Bernoulli and q- Euler polynomials...

Ngày tải lên: 20/06/2014, 21:20

... in Difference Equations 2012, 2012:1 http://www.advancesindifferenceequations.com/content/2012/1/1 Page 5 of 8 RESEARCH Open Access Some results on difference polynomials sharing values Yong ... al.: Some results on difference polynomials sharing values. Advances in Difference Equations 2012 2012:1. Submit your manuscript to a journal and benefi t from: 7 Convenie...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20

... quasi-periodic word and let any letter in u be covered by a word v. Then we denote u = v ⊗ v ⊗···⊗v. Some Periodicity of Words and Marcus Contextual Grammars 387 However, the other types of Marcus contextual ... set of all hyper primitive words. Remark 1.3. Fig. 1.3 indicates that u is a quasi-periodic word. Fig. 1.3. Vietnam Journal of Mathematics 34:4 (2006) 38...

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

... + 1), and the Eulerian numbers count permutations accord- ing to their number of descents. Theorem 1.1. Let A(m, j) denote the Eulerian numbers, i.e., the number of permutations in the symmet- ric ... 2)x n ≤  n k=1 x k + 1}. The question of finding Pr  x i−1 < 0 + x 1 + x 2 + . . . + x n + 1 n + 2 ≤ x i  3 Some geometric probability problems involving the Eul...

Ngày tải lên: 07/08/2014, 06:22

... pairs of cycles in such a way that the cycles in each pair share two adjacent edges . Then there exists a gregarious k -cycle decomposition of G ∗ K 2 . Proof Let D be a k -cycle decomposition of ... to “nongregarious” cycle decompositions, few results are known. Of course 3 -cycle decom- positions of complete equipartite graphs are necessarily gregarious and so by Han...

Ngày tải lên: 08/08/2014, 01:20

... analogous conditions for other elements of the group and to certain subgroups. In Section 2 we recall some notation along with the basic construction of the Leech lattice and the group ·0. In Section ... Section 5 we see how these results restrict to some subgroups of ·0. 2 The Leech Lattice and ·0 In this section we shall define the Leech lattice and the Conway group ·...

Ngày tải lên: 08/08/2014, 11:20

... 11T99 Abstract The main purpose of this paper is to show that many inequalities in functional analysis, probability theory and combinatorics are immediate corollaries of the best approximation theorem in inner ... electronic journal of combinatorics 17 (2010), #R58 3 The main purpose of this paper is to show that many inequalities in functional analysis, probability t...

Ngày tải lên: 08/08/2014, 12:22