Báo cáo toán học: "Monochrome symmetric subsets in 2-colorings of groups" potx

... into two subsets not containing in nite subsets of the form g + U where U = −U. Such subsets were called symmetric and groups that can be partitioned into two subsets not containing in nite symmetric ... proof of Theorem 1 is complete. In [12] it was proved that in any 3-coloring, every uncountable Abelian group G of regular cardinality contains either a monochrome sy...

Ngày tải lên: 07/08/2014, 07:21

... idea. In all these theorems, the underlying generating functions were either modular forms or simple linear combinations thereof. The point of this paper is to show that Ramanujan’s original method ... result. In Section 3, we examine the implications of Theorem 1 for a variety of modular forms. In Section 4, we collect a number of congruences for the coefficients in several q-s...

Ngày tải lên: 07/08/2014, 06:22

... heterochromatic path of length l + 1, a contradiction to the choice of P . So, we get that i 1 /∈ C({u 1 v s ,u 2 v s , ,u l v s }). Now we turn to proving our main theorem. 4. Proof of Theorem 3.1 Proof. We ... vertex v in G with 8 ≤ k  ≤ k − 1. In the following, all the notations are the same as in Section 3. Since d c (v) ≥ k>k− 1 for every vertex v of G, G has a heteroch...

Ngày tải lên: 07/08/2014, 13:21

... a polynomial of degree 2d − 2 with positive leading coefficient, as desired. This completes the proof of the theorem. 3 Combinatorial proof of the log-concavity In Section 2 we have investigated ... Unimodality of certain sequences connected with binomial coefficients, J. Integer Seq. 10 (2007), Article 07. 2. 3. [2] M. B´ona and B. Sagan, Two injective proofs of a conjecture of Sim...

Ngày tải lên: 07/08/2014, 21:20

... contracting u and v into one point. Let P ′ denote t his new lattice pat h and w the new point obtained by contracting u and v. Clearly, P ′ ∈ L N,S M and w is one of the minimum points of P ′ , ... The combination of P ′ and w yields a new interpretation of CF M (x, y) by defining (L N,S M , W) = {(P ′ , w) | P ′ ∈ L N,S M and w is one of the minimum points of P ′ }. The bivariate...

Ngày tải lên: 08/08/2014, 14:23

... example the use of maps with pre- fix information enabling ITS stations to know in ad- vance the advertised IPv6 prefixes per GVL area, or the overhearing of prefix information of neighboring GVL areas ... Intelligent Transport Systems (ITS); Ve- hicular Communications; Part 4: Geographical Addressing and Forwarding for Point-to-Point and Point-to-Multipoint Communications; Sub- Part 1:...

Ngày tải lên: 20/06/2014, 20:20

... article we want to point out that the future of marine environmental assessment of contaminants will be closely linked to integrated monitoring - the combination of chemical monitoring and biological ... of choosing and applying marker of contaminant eects to marine eld samples. It reects the actual stage of international guidelines for biological eects monitoring in mari...

Ngày tải lên: 20/06/2014, 20:20

... receiver and P k the kth interaction point of the considered path, as illustrated in Figure 2. The parameters vector contains the coordinates of the interaction points of the path. The iterative ... consists in a minimization of the path length, according to the Fermat Principle. Finally, an adaptive IMR has been developed based on the localization of reflection points. Results...

Ngày tải lên: 20/06/2014, 21:20

... read and approved the final manuscript. Competing interests We declare that we have no significant competing financial, professional, or personal interests that might have influenced the performance ... (09BJGJ14), Shandong Province Natural Science Foundation (Z2007A04). Author details 1 School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Jinan S...

Ngày tải lên: 20/06/2014, 21:20

... transient noise while preserving the slowly varying component in the input signal. In other words, the slowly varying component of desired speech remains in the output of the median filter. Moreover, ... the general pitch period of human’s speech, e.g., 2.5 ms ≤ τ ≤ 18 ms. Since τ p (l) in Eq. (5) is the integer multiple of the sampling period of the input signal, the estima...

Ngày tải lên: 20/06/2014, 21:20