Báo cáo toán học: "Partition statistics for cubic partition pairs" pptx

... by the appropriate formulas from the right side of (24). Specifically, write A  for A(N, m,v 0 , ,v m−1 ), write P  j for P j (N,m, v 0 , ,v m−1 ), and so forth. Write A  for A(N − v 0 ,m,v 1 , ... recursions hold for HC (m) n (q, t). These recursions are more convenient for some purposes than the summation formula given in §2.3. As an example, we use the recursion to prove a for...

Ngày tải lên: 07/08/2014, 08:22

... 1.2 results for d = 2, k = 1, β 0 = 1, β 1 = 2, while item (ii) results for d = 2, k = 1, β 0 = 2, β 1 = 1. Moreover, upon setting k = 0 and β 0 = d + 1 in Theorem 2.2, we obta in Formula (1.2) (and ... =  d+1 i+1  for i ∈ {0, 1, . . . , d − 1} since a Fuß–Catalan complex with n = 1 is a d-dimensional simplex, which has  d+1 i+1  simplices of dimension i. For n ≥ 1, there hold the...

Ngày tải lên: 08/08/2014, 14:23

... Theorem 2.2 for the precise statement. 1.1 Notation For a graph G = (V, E) and sets A, B ⊂ V , we write e G (A, B) for the number of edges with one endpoint in A and one endpoint in B. For a vertex ... follows in a similar way as described in [1] for ε-regularity, that one can find in time n O(1/p) a partition guaranteed by the version of Szemer´edi’s lemma for sparse graphs that...

Ngày tải lên: 07/08/2014, 15:22

... first partition statistic is a rank analog for b(n), which explains the first congruence (1.1). For a given cubic partition pair λ, we define the cubic partition pair rank as #λ e r − #λ e y + 2#λ e o − ... the number of cubic partitions. After Chan’s works, many analo gous partition functions have been studied. In particular, H. Z hao and Z. Zhong [7] investigated congruences...

Ngày tải lên: 08/08/2014, 14:23

... referee for a prompt, thorough reading of this paper and for many insightful suggestions which improved it. We are indebted to the referee for formulas (4.1)–(4.3), formulas (4.10)–(4.13), and for ... which we pair. The foregoing observations establish (2.9) for 0  n  2since R ∗ n = R n for such n. Thus, it remains only to construct a ν-parity changing involution of R n −R ∗ n...

Ngày tải lên: 07/08/2014, 08:22

... distributed freely for any purposes (see copyright notice below). For information about publishing your research in EURASIP WCN go to http://jwcn.eurasipjournals.com/authors/instructions/ For information ... netbooks. All this need for flexibility and more “mobile” devices lead to more and more needs to afford the spectral resources that shall be able to satisfy costumers need for mo...

Ngày tải lên: 20/06/2014, 20:20

... distributed freely for any purposes (see copyright notice below). For information about publishing your research in EURASIP WCN go to http://jwcn.eurasipjournals.com/authors/instructions/ For information ... delay. According to the performance evaluation, we can derive the required channel bandwidth for such a mobile hotspot. Numerical results are presented to demonstrate the applicat...

Ngày tải lên: 20/06/2014, 20:20

... Fig. 3. It can be 7 closed form expressions for the optimal time allo- cation. We also obtained a closed form expression for the optimal rate allocation that is valid for spe- cific channel conditions ... distributed freely for any purposes (see copyright notice below). For information about publishing your research in EURASIP WCN go to http://jwcn.eurasipjournals.com/authors/instruc...

Ngày tải lên: 20/06/2014, 20:20

... distributed freely for any purposes (see copyright notice below). For information about publishing your research in EURASIP WCN go to http://jwcn.eurasipjournals.com/authors/instructions/ For information ... approaches did not wait for CR to be used on radio technologies. In 1993, article [63] already suggested simulated annealing as a possible solution to deal with channel assignment...

Ngày tải lên: 20/06/2014, 20:20

... upon acceptance. It can be downloaded, printed and distributed freely for any purposes (see copyright notice below). For information about publishing your research in EURASIP Journal on Advances ... fa- vorable information for understanding SAR images. Micromotion is mainly embodied by rotation and vibration, and typical SAR micromotion targets include ground/ship-borne search antennas...

Ngày tải lên: 20/06/2014, 20:20