... and almost sure convergence of linear combinations of independent random variables and martingale differences, Ann. Math. Statist. 39 (1968) 1549–1562. Almost Sure Convergence of Weighted Sums of ... properties. By the definition of c n we have b m n ≤ c m n for all n.By Theorem 3 lim sup n |X n | log 1/β n ≤ 1 α 1/β a.s. Hence almost surely Almost Sure Convergence of Weight...
Ngày tải lên: 06/08/2014, 05:20
... these digraphs are also Cayley digraphs of the generalized quaternion group of order 2 k+1 .Inthis case, these digraphs are non-normal Cayley digraphs of the generalized quaternion group of order ... orbital digraphs of G to the set of sub-orbits of G (for fixed ω ∈ Ω). Definition 1.3 Let G be a transitive permutation group of degree mk that admits a complete block sys...
Ngày tải lên: 07/08/2014, 07:21
Báo cáo toán học: " Nonexistence of positive solutions of an integral system with weights" pdf
... 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
Báo cáo toán học: " Nonexistence of positive solutions of an integral system with weights" docx
... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Nonexistence of positive solutions of an integral ... 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 p...
Ngày tải lên: 20/06/2014, 21:20
Báo cáo toán học: " Nonexistence of nontrivial solutions for the p(x)-Laplacian equations and systems in unbounded domains of Rn" docx
... 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 ... ∂Ω. Therefore, the problem admits only the null solution. Proof Similar to the proof of theorem 1. theorem 3.3 If u k ∈ W 1,p k (x) 0 (Ω) ∩L ∞ Ω solution of the system (1.6) −(...
Ngày tải lên: 20/06/2014, 21:20
Báo cáo toán học: "5-sparse Steiner Triple Systems of Order n Exist for Almost All Admissible n" pps
... density of 5-sparse Steiner triple systems of orders n ≡ 1 mod 6 as compared to the set of numbers n ∈ N with n ≡ 1mod6is 1. Proof. Define P as the set of all primes ≡ 17 mod 54 and R as the set of ... triple system of order v, abbreviated STS(v), is a collection B of 3-sets of V , called blocks or triples, such that every distinct pair of elements of V lies in exactly one...
Ngày tải lên: 07/08/2014, 13:21
Báo cáo toán học: " Nonexistence of permutation binomials of certain shapes" ppsx
... The set of degrees of terms of f 2 is S = {2n, 2n + 4, 2n + 8, . . . , 2n + 8}. When is even, S consists of 2+1 consecutive multiples of 4. Since n is odd, 2n is not a multiple of 8, ... > 1. The set of degrees of terms of f −1 is S = {n − n, n − n + 4, n − n + 8, . . . , n − n + 4 − 4}. Since ≡ 1 (mod 4), the set S consists of consecutive multiples...
Ngày tải lên: 07/08/2014, 13:21
Báo cáo toán học: " Dilemmas in the reliable estimation of the in-vitro cell viability in magnetic nanoparticle engineering: which tests and what protocols?" doc
... pegylation of the MNPs, which could be due to a number of factors including an increase in the coating diameter upon addition of the PEG moiety [33], thus increasing the stability of the nanoparticles ... applications of MNPs emerging, little is known of the adverse biological side effects due to their nanoscale size. Recently, the importance of such biological characterisa...
Ngày tải lên: 20/06/2014, 20:20
Báo cáo toán học: " The structural and optical properties of GaSb/InGaAs type- quantum dots grown on InP (100) substrate" ppt
... the height of GaSb/In 0.53 Ga 0.47 As QDs. (a) The AFM image of GaSb/In 0.53 Ga 0.47 As QDs, (b) histogram of the height of GaSb/In 0.53 Ga 0.47 As QDs, and (c) the STEM image of GaSb/In 0.53 Ga 0.47 As ... dependence of the PL peak energies over the third root of the excitation density [20]. The inset of Figure 3b shows the linear dependence of the PL peak energies and...
Ngày tải lên: 20/06/2014, 20:20
Báo cáo toán học: " Structural, optical and magnetic studies of manganese-doped zinc oxide hierarchical microspheres by self-assembly of nanoparticles" docx
... intensity of the diffraction peaks decreases, and the width broadens due to the formation of smaller grain diameters as a result of an increase in disorder on Mn 2+ doping. Also, the evolution of ... well [31]. The XPS data of Zn2p and Mn2p further provide evidences for the incorporation of Mn 2+ ions into ZnO. To obtain a better understanding of the formation of Mn-do...
Ngày tải lên: 20/06/2014, 20:20