Báo cáo toán học: "Quantitative sum product estimates on different sets" pptx

... Tao, A sum product estimate in finite fields and appli- cations, GAFA 14 (2004), 27-57 [2] J. Bourgain, A. Glibichuk and S. Konyagin, Estimates for the number of sums and products and for exponential ... and for exponential sums in fields of prime order, J. London Math. Soc. 63 (2006) , 380-398 [3] J. Bourgain, More on the sum- product phenomenon in prime fields and its applica- tions,...

Ngày tải lên: 07/08/2014, 15:22

... a product construction using PTAs will construct difference sets in 212 of these groups ([4].) Of the 132 groups of order 144 conjectured to have a (144, 66, 30) difference set, a PTA product construction ... conditions above are satified, that is, a, b satisfy both the “commuting involution” and the “quaternion” conditions. Otherwise, bab −1 = a −1 , a 2 = b 2 implies that a, b is the qua...

Ngày tải lên: 07/08/2014, 21:20

... sequence. Proposition 2.1. If ν = n then the relations (2.1) do not admit a solution if ρ n =0, and admit multiple solutions if ρ n =0. Proof. If ν = n, the relations in question admit a solution if and only ... com- position sum identities. In the search for useful applications we will limit our attention to recursively defined sequences arising from series solutions of linear differential...

Ngày tải lên: 07/08/2014, 06:20

... +1)/3and2(n +1)/3tobein different sets. There are no real theorems in this note, only observations and conjectures based on a computer study of symmetric sum- free partitions. We have restricted ... make several observations concerning symmetric sum- free partitions into 5 sets. Introduction A set of integers is said to be sum- free if for all i and j ≥ i in the set the sum i + j is...

Ngày tải lên: 07/08/2014, 06:20

... Erd˝os and R. Laskar, On maximum chordal subgraph, Proceedings of the four- teenth Southeastern conference on combinatorics, graph theory and computing (Boca Raton, Fla., 1983). Congr. Numer. 39 (1983), ... degree 2m/n, contradicting the assumption that G is not regular.  Since for every m ≥ t r (n) there is a graph G = G (n, m) whose degrees differ by at most 1, we obtain the following b...

Ngày tải lên: 07/08/2014, 08:22

... overall energy consumption. These simulation results about energy consumptions of the protocols agree with our theoretical analysis on communication costs of the protocols in Section 5.2. Although ... observation about our approach is that nodes in the border lines experience a higher energy consumption, which shows that energy consumption is distributed among the nodes in the rendezvous re...

Ngày tải lên: 20/06/2014, 20:20

... detection. IEEE Trans Speech Audio Process. 16(8):1565–1578 (2008) 13. J Ramirez, JM Gorriz, JC Segura, CG Puntonet, AJ Rubio, Speech/non-speech discrimination based on contextual information integrated ... detection based on complex exponential atomic decomposition and likelihood ratio test. 20th Int Conf Pattern Recognition, ICPR 2010. (Istanbul, Turkey, 2010), pp. 89–92 22. RC Reininge...

Ngày tải lên: 20/06/2014, 21:20

... (http://www.theobroma-cacao.de/wissen/wirtschaft/deutschland/konsum/). l Based on normal consumption [44]. m Based on high consumption [44]. n Based on an average consumption of males 13 to 64 years in age per year in Germany [43]. o Based on an ... for Nutrition and Food: The National Consumption Study Part 2, Nationwide survey on nutrition of youth and adults; 2008. [43...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20