Báo cáo toán học: "Continued fractions related to (t, q)-tangents and variants" ppsx

... and q-cotangent functions. Discrete Math. Theor. Comput. Sci., 12(2):47–64, 2010. the electronic journal of combinatorics 18(2) (2011), #P18 7 Continued fractions related to (t, q)-tangents and ... = sin q (u) cos q (u) generalises for w = q r the Foata and Han version, and for w = −1 the Cieslinski version. Our elementary approach can handle this situation as well: Set σ...

Ngày tải lên: 08/08/2014, 14:23

... (|R v |−|Q v |) <γ(G), and we have a contradiction. This observation shows that N =  v∈V (H) |R v |≤  v∈V (H) |Q v | = |D|. (5) It follows from (4) and (5) that γ(G)γ(H) −|D|≤N ≤|D|, and the desired ... electronic journal of combinatorics 7 (2000), #N4 2 Theorem 1 For any graphs G and H, γ(G)γ(H) ≤ 2γ(G  H). Proof. Let D be a dominating set of G  H. It is sufficient to show tha...

Ngày tải lên: 07/08/2014, 06:20

... z n q  v ( level(v)−1 k−1 ) and the result follows from the previous theorem and Theorem 1. References [1] To k Mansour and Alek Vainshtein, Restricted permutations, continued fractions and chebyshev polynomials, ... edges corresponds to a unique lattice path from (0, 0) to (n, n). If the path P corresponds to the tree T , then we need to determine what statistic of the tr...

Ngày tải lên: 07/08/2014, 06:20

... Marne-la-Vall´ee 77454 Marne-la-Vall´ee Cedex, France Abstract. We generalize and prove two conjectures of Corteel and Lovejoy related to overpartitions and divisor functions. Submitted: Apr 29, 2004; Accepted: ... of combinatorics 12 (2005), #R38 4 [2] G. E. Andrews, K. Uchimura, Identities in combinatorics IV: differential and harmonic numbers, Utilitas Math., 28(1985) 265–269. [...

Ngày tải lên: 07/08/2014, 13:21

... G(w)(Az)  n u (n) k z n . Proof. A standard walk from k to 0 can be written in just one way as the concatenation of a standard walk from k to k, the walk (k, k −1) and a standard walk from k −1 to 0. Corollary 5.4. ... w|t and w ∗ |t as follows. Replace Λ, A and C by Λ[[t]], A(1 + t) and C(1 + t) −1 , and let w|t and w ∗ |t be the new w and w ∗ that arise. If α = (α 0 , ....

Ngày tải lên: 08/08/2014, 12:23

... pre-bronchodilator slow (SVC) and forced (FVC) vital capacity related to FEV 1 as percent of predicted value prior to bronchodilatation in 3881 smokersFigure 4 A. Difference between pre-bronchodilator ... chronic obstructive pulmonary disease according to BTS, ERS, GOLD and ATS criteria in relation to doctor's diagnosis, symptoms, age, gender, and smoking habits. Respira...

Ngày tải lên: 12/08/2014, 15:21

... subsequences is as large as possible, and to determine the number. Strings and texts are themselves one of the basic combinatorial structures, and the sorting, searching, and compression of strings is ... string and a random one have exponentially many subsequences; the base of the exponent is larger for the cyclic string than for the random one, but for large d both bases tend to...

Ngày tải lên: 07/08/2014, 08:20

... easier to evaluate Somos’s determinants than to relate them directly to (a)–(c). It is easy to see that W 2n = U n V n and W 2n+1 = U n+1 V n ,soit is only necessary show that U n is equal to (4) and ... Robbins and Rumsey [21] and proved by Zeilberger [31] and Kuperberg [18]. The numbers A n also count totally symmetric, self-complementary plane partitions, as shown by An...

Ngày tải lên: 07/08/2014, 13:21

... The vehicle changes its state to a standalone if there is no nearby cluster to join or there is no other nearby standalone vehicle to form a new cluster according to our cluster formation algorithm. • ... clusters are created and added to the system due to the mobility of the nodes. And this can be achieved by producing relatively stable clusters and by the ability of cluste...

Ngày tải lên: 20/06/2014, 20:20

... Furthermore,  N h i h =1 h a (i h )= 1 and  N h i h =1 h b (i h )= 1 are required to apply the histo- gram intersection kernel into h a and h b .Thep-spec- trum-based features also have histogram shapes, and they can be applied to ... M a and M b ,and N M a and N M b are the numbers of components of M a and M b , respectively. In addition, m a (l a )andm b (l b ) a re chro...

Ngày tải lên: 20/06/2014, 21:20