Based on a new demand — the commutativity of belief functions combination with refinement/coarsening of the frame of discernment — the role of the disjunctive rule of combination has increased. To compare the nature of this rule with a more frequent but also more controversional one, i.e. with Dempster’s rule, an algebraic analysis was used. The basic necessary definitions both from the Dempste...

We study the damping of internal gravity waves in a stably stratified fluid with constant viscosity in twoand three-dimensional bounded domains. For the linearized Navier-Stokes equations for incompressible flow with no-slip boundary conditions that model this fluid, we prove there are non-oscillatory normal modes with arbitrarily small exponential decay rates. The proof in a twoand three-dimen...

We analyse the spectrum of perturbations of the de Sitter space on the one hand, while on the other hand we compute the location of the poles in the Conformal Field Theory (CFT) propagator at the border. The coincidence is striking, supporting a dS/CFT correspondence. We show that the spectrum of thermal excitations of the CFT at the past boundary I − together with that spectrum at the future b...

Bump mapping is a technique that represents the detailed parts of an object surface, such as the skin of a peanut, using the geometry mapping without complex modeling. However, the hardware implementation for bump mapping is very expensive, because a large amount of per pixel computations, including the normal vector shading, is required. In this paper, we propose an effective bump mapping algo...

We survey recent work of Burghelea, Malta and both authors on the topology of critical sets of nonlinear ordinary differential operators. For a generic nonlinearity f , the critical set of the first order nonlinear operator F1(u)(t) = u (t) + f(u(t)) acting on the Sobolev space H1 p of periodic functions is either empty or ambient diffeomorphic to a hyperplane. For the second order operator F2(...

We report on an 80-year-old woman who had shunt-responsive idiopathic normal pressure hydrocephalus (iNPH). Her brain MRI showed an initial change in the subarachnoid space (a disproportional narrowing of the subarachnoid space at the cerebral high convexities) at the age of 70 years, followed by enlargement of the ventricles (Evans index: 0.31) at the age of 78. The observation suggests that c...

Inspired with Version Space learning the Iterated Version Space Algorithm IVSA has been designed and implemented to learn disjunctive concepts IVSA dynamically partitions its search space of potential hypotheses of the target concept into contour shaped regions until all training instances are maximally correctly classi ed

We consider two problems in boundary controllability of coupled wave/Kirchoff systems. Let Ω be a bounded region in R, n ≥ 2, with Lipschitz continuous boundary Γ. In the motivating structural acoustics application, Ω represents an acoustic cavity. Let Γ0 be a flat subset of Γ which represents a flexible wall of the cavity. Let z denote the acoustic velocity potential, which satisfies a wave eq...

In this paper we investigate a class of combined discrete-continuous mechanical systems consisting of a continuous elastic structure and a nite number of concentrated masses, elastic supports and linear oscillators of arbitrary dimension. After the motion equations for such combined systems are derived, they are formulated as an abstract evolution equation on an appropriately deened Hilbert spa...