The automatic classification of vectorcardiograms and electrocardiograms into disease classes using computerized pattern recognition techntques has been a much studied problem. To date, however, no system exists which meets desired accuracy and noise immunity requirements and development of new techniques continues. An important aspect of the problem is that of feature selection, in which the f...

Motivated by problems involving diffusion through small gaps, we revisit twodimensional eigenvalue problems with localized perturbations to Neumann boundary conditions. We recover the known result that the gravest eigenvalue is O(jln ej), where e is the ratio of the size of the hole to the length-scale of the domain, and provide a simple and constructive approach for summing the inverse logarit...

Repetitive processes are a distinct class of twodimensional systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or two-dimensional (2D) systems theory. Here we give new results on the relatively open problem of the desig...

We describe irreducible representations, coherent states and starproducts for algebras of integrals of motions (symmetries) of twodimensional resonance oscillators. We demonstrate how the quantum geometry (quantum Kähler form, metric, quantum Ricci form, quantum reproducing measure) arises in this problem. We specifically study the distinction between the isotropic resonance 1 : 1 and the gener...

We investigate the existence of random close and random loose packing limits in twodimensional packings ofmonodisperse harddisks. A statisticalmechanics approach–based on several approximations to predict the probability distribution of volumes – suggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has impli...

This paper presents numerical simulations of incompressible fluid flow problems in the presence of a magnetic field. The equations governing the flow consist of the Navier-Stokes equations of fluid motion coupled with Maxwell ́s equations of electromagnetics. The study of fluid flows under the influence of a magnetic field and with no free electric charges or electric fields is known as magnetoh...

We consider the initial-boundary value problem for an inhomogeneous time-fractional diffusion equation with a homogeneous Dirichlet boundary condition, a vanishing initial data and a nonsmooth right-hand side in a bounded convex polyhedral domain. We analyse two semidiscrete schemes based on the standard Galerkin and lumped mass finite element methods. Almost optimal error estimates are obtaine...

Durand, B. Inversion of 2D cellular automata: some complexity results, Theoretical Computer Science 134 (1994) 387401. In this paper, we prove the co-NP-completeness of the following decision problem: “Given a twodimensional cellular automaton & (even with Von Neumann neighborhood), is & injective when restricted to finite configurations not greater than its length?” In order to prove this resu...

where T is the temperature. This solution, which has since been rederived from a variety of different approaches, (2~) exhibits a second-order phase transition occuring at infinite temperature. This leads to the occurrence of a zero-temperature phase transition in a fully frustrated Ising model (5'7) in the dual space. It is also known that this solution of the nearest-neighbor model yields inf...

Updating a Delaunay triangulation when data points are slightly moved is the bottleneck of computation time in variational methods for mesh generation and remeshing. Utilizing the connectivity coherence between two consecutive Delaunay triangulations for computation speedup is the key to solving this problem. Our contribution is an effective filtering technique that confirms most bi-cells whose...