Consider the multicolored urn model where after every draw, balls of the different colors are added to the urn in proportion determined by a given stochastic replacement matrix. We consider some special replacement matrices which are not irreducible. For three and four color urns, we derive the asymptotic behavior of linear combinations of number of balls. In particular, we show that certain li...

There continues to be keen interest in assessing quality of life (QoL) after cystectomy and urinary diversion, given the recent evidence-based analyses [1,2] and systematic reviews [3–6] evaluating QoL studies in this population. A resounding characteristic of contemporary reports is the preponderance of cross-sectional, retrospective, single-institution studies. Very few prospective longitudin...

In his 1968 paper [2], R.L. Guernsey derived the dispersion relation for surface waves on a semi infinite plasma confined by a perfect reflecting wall. The aim of the current project is to extend these results to the case of a fully degenerate electron gas described by the unit step function (a limiting case of the FermiDirac distribution). By only considering the effects of the distribution fu...

background: the main goal of the current research is to evaluate the drawing quality of 4 to 12 years old on the basis of bender-gestalt test. bender-gestalt test is aimed to evaluate visual-motor abilities in children and educational assessments. methods:  the research is conducted in a descriptive framework. the sample included a total number of 707 normal children, aged 4-12 years old, who w...

The purpose of this study is to investigate the asymptotics of a first order auto regressive unit root process, AR(1). The goal is to determine which tests could be used to test for the presence of a unit root in a first order auto regressive process. A unit root is present when the root of the characteristic equation of this process equals unity. In order to test for the presence of a unit roo...

A slender 1{D model for laments of liquid crystalline polymers (LCPs) is applied to simulate isothermal ber spinning of materials with internal orientation. The model and predictions focus on the hydrodynamic{orientation interactions in spinning ows, isolated from other signi cant spinline e ects of temperature, crystallization and phase changes. An important practical feature of the model is t...

A proton NMR method for the determination of the solvation numbers of alkaline earth cations with dimethylsulfoxide (DMSO) in nitromethane as diluent is described. The method is based on the monitoring of the resonance frequency of DMSO protons as a function of DMSO to metal ion mole ratio while keeping the metal ion concentration constant. The average solvation number of cations at any...

this paper intends to study attraction theory which it has been published in a book entitled new method of music performance principles. it should note that mentioned book has been selected as the best book in 21 festival for year book in islamic republic of iran. at first some these drawbacks will be considered regarding to scientific rules then we find that the frequency ratio of sounds in th...

The hadronic k ⊥ -spectrum and the gluon to quark average multiplicity ratio r = Ng/Nq inside a high energy sub-jet are determined from a precise definition of the jet axis, including corrections of relative magnitude O(αs) with respect to the Modified Leading Logarithmic Approximation (MLLA), in the limiting spectrum approximation (assuming an infrared cut-off Q0 = Λ QCD ). The results for the...