Báo cáo toán học: " Nonexistence of permutation binomials of certain shapes" ppsx

... number of permutation binomials over F 4p+1 where p and 4p + 1 are primes, Electronic J. Combin. 13 (2006), R65. the electronic journal of combinatorics 14 (2007), #N12 5 Nonexistence of permutation ... 2. Proof. There are no nontrivial permutation binomials over F 2 or F 3 , so we may assume p = 2 + 1 with  > 1. By Lemma 2.2, it suffices to show there are no nontrivial...

Ngày tải lên: 07/08/2014, 13:21

... Classification of solutions for an integral equation. Comm. Pure Appl. Math. 59, 330–343 (2006) Nonexistence of positive solutions of an integral system with weights Zhengce Zhang School of Mathematics ... some assumptions of p, q, α, and β. Furthermore, using Doubling Lemma indicated in [14], which is an extension of an idea of Hu [15], Chen and Li [16, Theorem 4.3] obtained t...

Ngày tải lên: 20/06/2014, 21:20

... symmetry of solutions of (1.1) on the hyperbola (1.3). For ξ = η = 0 and max{1, 2/(N − 2)} < p, q < ∞, Chen and Li [16, Theorem 4.3] obtained the nonexistence of positive solutions of (1.1) ... some assumptions of p, q, α, and β. Furthermore, using Doubling Lemma indicated in [14], which is an extension of an idea of Hu [15], Chen and Li [16, Theorem 4.3] obtained the n...

Ngày tải lên: 20/06/2014, 21:20

... results of nonexistence of nontrivial solutions of the semilinear elliptic equations and systems, under various situations, see [1-8]. The Pohozaˇev identity [1] published in 1965 for solutions of ... identities (2.5) and (2.6). The rest of the proof is similar to the that of lemma 1. 3 Principal Result theorem 3.1 If u ∈ W 1,p(x) 0 (Ω) ∩ L ∞  Ω  be a solution of the problem...

Ngày tải lên: 20/06/2014, 21:20

... Q[x] of the characteristic polynomial of A, in terms of the cycle structure of P , we compute the trace of A and we derive a contradiction on some algebraic multiplicities of the eigenvalues of ... G. The number of permutation cycles of G of each length i ≤ n will be denoted by m i and the vector (m 1 , . . . , m n ) will be referred to as the permutation cycle structu...

Ngày tải lên: 07/08/2014, 21:20

... electronic journal of combinatorics 18 (2011), #P71 4 Nonexistence of graphs with cyclic defect Mirka Miller ∗† School of Electrical Engineering and Comp. Science, University of Newcastle, Australia Department ... repeat of u (and vice versa) in G. Clearly, when defect is 2, R(G) is either one cycle of length n = |V (G)| or a disjoint union of cycles whose sum of lengths is...

Ngày tải lên: 08/08/2014, 14:22

... average number of reached nodes— it is a sort of approximated indicator of the “depth” of the propagation process. Since the RE can be interpreted as the ratio between the average number of reached ... conditions— this is the very idea of IF. The shape of p, as a function of d, is shown in Figure 5, for different values of c and ρ s . It can be observed that the PAF of SIF...

Ngày tải lên: 20/06/2014, 20:20

... the large amount of cadmium-containing waste during the deposi- tion process. Therefore, the development of a Cd-free buffer layer is one of the major objectives in the field of CIGS solar cells. Today, ... 7:26 http://www.nanoscalereslett.com/content/7/1/26 Page 7 of 7 The influence of the substrate temperatures on the sur- face morphology of the films was investigated using th...

Ngày tải lên: 20/06/2014, 21:20

... force microscopy [AFM] images of the TiO 2 /ZrO 2 thin films. One can clearly seethatthesurfacemorphologyofthefilmsdepends on the annealing temperature. The RMS roughness of the as-deposited film ... 7:31 http://www.nanoscalereslett.com/content/7/1/31 Page 3 of 5 Acknowledgements This work is supported in part by the National Nature Science Foundation of China (No. 51072049), STD and...

Ngày tải lên: 20/06/2014, 21:20

... goal of activity analysis is to automatically classify the activities into predefined categories. The perfor- mance of supervised statistical classifiers often depends on the availability of labeled ... classifier results after applying accumulation of evidence are shownintheformofconfusionmatrixinTable7.The majority of the classifier errors occur during the transi- tion of states...

Ngày tải lên: 20/06/2014, 21:20