ABSTRACT. This paper is concerned with the torsional vibrations of a nonhomogeneous magnetostrictive elastic cylinder. The cylinder is subjected to the action of a circumferential magnetic field produced by an axial current of constant density and the deformation of a magnetostrictive cylinder is produced by a constant longitudinal magnetic field. The frequency equation is determined, and the d...

We present an overview of existing methods to generate pseudorandom numbers from a nonhomogeneous Poisson process. We start with various definitions of the nonhomogeneous Poisson process, present theoretical results (sometimes with a proof) that form the basis of existing generation algorithms, and provide algorithm listings. Whenever available, we also provide links to sources containing compu...

Urban road tunnels provide an increasingly cost-effective engineering solution, especially in compact cities like Singapore. For some urban road tunnels, tunnel characteristics such as tunnel configurations, geometries, provisions of tunnel electrical and mechanical systems, traffic volumes, etc. may vary from one section to another. These urban road tunnels that have characterized nonuniform p...

Discrete and continuous refinement equations have been widely studied in the literature for the last few years, due to their applications to the areas of wavelet analysis and geometric modeling. However, there is no “universal” theorem that deals with the problem about the existence of compactly supported distributional solutions for both discrete and continuous refinement equations simultaneou...

Surface bound states in the continuum (SBICs) have been found to occur diverse settings, but so far always at interface of nonhomogeneous media, such as discrete lattices or periodic systems. Here, we show that they can also exist homogeneous resulting unique SBICs. Specifically, that, contrary general belief, leaky Dyakonov between materials exhibit opposite signs anisotropy. In addition, prop...

The object of the present paper is to study heat conduction and thermal stresses in a hollow cylinder with nonhomogeneous material properties. The cylinder is subjected to sectional heating at the curved surface. All the material properties except for Poisson’s ratio and density are assumed to be given by a simple power law in the axial direction. A solution of the two-dimensional heat conducti...

This book contains a detailed exposition of the nonhomogeneous Koszul duality theory in relative situation over noncentral, noncommutative, nonsemisimple base ring, as announced Section 0.4 arXiv:0708.3398. We prove Poincare-Birkhoff-Witt theorem this context and construct triangulated equivalences derived duality. The between ring differential operators de Rham DG-algebra, with functions is th...