We relate Catalan numbers and Catalan determinants to random matrix integrals and to moments of spin representations of odd orthogonal groups. §

in this research a numerical analysis using plaxis program has been carried out to investigate the behavior of buried concrete box culverts different parameters including load types, loading locations, culvert dimensions, underlying soil specifications, and the coefficient of earth pressure- at- rest. for modeling purpose, patch loading of rtuck or military tank has been substituted to an equiv...

The coupled steel plate and reinforced concrete (C-SPRC) composite wall is a new type of coupled-wall system consisting coupling beams (SCBs) that join two SPRC walls where the shear (SPSW) embedded in RC wall. Although C-SPRC has been extensively constructed high-rise buildings seismic regions, research on its behavior rarely reported. No code provisions are available for directly guiding prel...

There is a possibility of increasing structural damage in the sequential earthquake compared to main according past earthquakes. This study investigates effects seismic sequence on behavior and increased response reinforced concrete frames (RCF) with/without steel plate shear walls (SPSW). Four systems 4, 8, 12, 24 story, which represent low-, mid-, high-rise structures, are designed subjected ...

In recent years, destructive earthquakes have shown the deficiencies of the existing buildings. One of the most effective mechanisms for dissipating the earthquake energy is inelastic deformation of the steel components. The objective of this research is to study the application of metallic dampers for dissipation of the earthquake energy and to investigate the behavior of concrete structures i...

In this paper we define distributions on the moment spaces corresponding to p×p real or complex matrix measures on the real line with an unbounded support. For random vectors on the unbounded matricial moment spaces we prove the convergence in distribution to the Gaussian orthogonal ensemble or the Gaussian unitary ensemble, respectively.

In this paper we give new constructions of Ferrer diagram rank metric codes, which achieve the largest possible dimension. In particular, we prove several cases of a conjecture by T. Etzion and N. Silberstein. We also establish a sharp lower bound on the dimension of linear rank metric anticodes with a given profile. Combining our results with the multilevel construction, we produce examples of...

This paper considers the problem of testing a finite number of moment inequalities. We propose a two-step approach. In the first step, a confidence region for the moments is constructed. In the second step, this set is used to provide information about which moments are “negative.” A Bonferonni-type correction is used to account for the fact that with some probability the moments may not lie in...