Bridges are common and important constructions to overcome different obstacles in any transportation network. Variations bridge types include variation span length, statical system, construction material, methods sustained loads. Choosing the suitable system is affected with several factors such as time, availability of materials, available budget, contractors’ background one most layout road n...

We study the spectral norm of matrices W that can be factored as W = BA, where A is a random matrix with independent mean zero entries and B is a fixed matrix. Under the (4 + ε)-th moment assumption on the entries of A, we show that the spectral norm of such an m×n matrix W is bounded by √ m + √ n, which is sharp. In other words, in regard to the spectral norm, products of random and determinis...

Our investigations are motivated by recent papers concerning the spectral moments of the edge-adjacency matrix, which were successfully employed in QSAR and QSPR studies of different classes of compounds [Estrada, E. J. Chem. Inf. Comput. Sci. 1996, 36, 844-849; 1997, 37, 320-328; 1998, 38, 23-27]. In this work, the evaluation of the 10th spectral moment of the vertex-adjacency matrix for pheny...

In this paper, we provide a detailed analysis of the global convergence properties of an extensively studied and extremely effective fixed-point algorithm for the Kullback–Leibler approximation of spectral densities, proposed by Pavon and Ferrante in [1]. Our main result states that the algorithm globally converges to one of its fixed points. Index Terms Approximation of spectral densities, spe...

1. The moment expansion 2. Spectral expansion: reduction to GL2 3. Spectral expansion for GL2 4. Continuation and holomorphy at s′ = 0 for GL2 5. Spectral expansion for GLr 6. Continuation and holomorphy at s′ = 0 for GLr 7. Appendix: half-degenerate Eisenstein series 8. Appendix: Eisenstein series for GL2 9. Appendix: residues of degenerate Eisenstein series for Pn−1,1 10. Appendix: degenerate...

Let $alpha$ be an endomorphism and $delta$ an $alpha$-derivationof a ring $R$.  In this paper we  study the relationship between an$R$-module $M_R$ and the  general polynomial module  $M[x]$ over theskew polynomial ring $R[x;alpha,delta]$. We introduce the notionsof skew-Armendariz modules and skew quasi-Armendariz modules whichare generalizations of $alpha$-Armendariz modules and extend thecla...

 In this paper we consider a general setting of skew-symmetric distribution which was constructed by Azzalini (1985), and its properties are presented. A suitable empirical estimator for a skew-symmetric distribution is proposed. In data analysis, by comparing this empirical model with the estimated skew-normal distribution, we show that the proposed empirical model has a better fit in den...

Abstract. In this paper, a family of skew-slash distributions is defined and investigated. We define the new family by the scale mixture of a skew-elliptically distributed random variable with the power of a uniform random variable. This family of distributions contains slash-elliptical and skew-slash distributions. We obtain the moments and some distributional properties of the new family of d...