We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear elliptic partial differential equation. The result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearra...

‎let $p(z)=z^s h(z)$ where $h(z)$ is a polynomial‎ ‎of degree at most $n-s$ having all its zeros in $|z|geq k$ or in $|z|leq k$‎. ‎in this paper we obtain some new results about the dependence of $|p(rz)|$ on $|p(rz)| $ for $r^2leq rrleq k^2$‎, ‎$k^2 leq rrleq r^2$ and for $rleq r leq k$‎. ‎our results refine and generalize certain well-known polynomial inequalities‎.

PURPOSE Biosimilars are a cost-effective alternative to biologics that could improve patients' access to expensive biological medicines. Currently, there are little data on doctors' perceptions of biosimilars and in what situations they are comfortable prescribing biosimilars. In this study, we investigated medical specialists' perceptions of biosimilars and the factors associated with the acce...

Introduction: drug use in pediatric patients is a unique dilemma in the management and monitoring of disease. This study aimed at assessing medication prescribing in a pediatric ward of an  Ethiopian hospital. Materials and Methods: a retrospective cross-sectional study was done by reviewing the medical records of 249 patients among those admitted in the period between 11th of September 2007 an...

In this paper, we present and evaluate an approach to incremental dialogue act (DA) segmentation and classification. Our approach utilizes prosodic, lexico-syntactic and contextual features, and achieves an encouraging level of performance in offline corpus-based evaluation as well as in simulated human-agent dialogues. Our approach uses a pipeline of sequential processing steps, and we investi...

How can the classical psychological laws be explained and unified? It is proposed here that scale-invariance is a unifying principle. Distributions of many environmental magnitudes are observed to be scale invariant; that is, the statistical structure of the world remains the same at different measurement scales [Mandelbrot, B., 1982. The Fractal Geometry of Nature (2nd Edn.). W.H. Freeman, San...

We present a novel synthesis method for procedural generation of complex curves. Our approach takes a simple example input curve specified by a user and automatically generates complex curves that resembles the input. The algorithm preserves many of the input shape features such as tangent directions, curvature and branch nodes. The overall system is simple and can be used to generate different...

The art world changed forever when Jackson Pollock picked up a can and poured paint onto a vast canvas rolled across the floor of his windswept barn. Fifty years on, art theorists recognize his patterns as being a revolutionary approach to aesthetics. A significant step forward in understanding Pollock’s aesthetics occurred in 1999 when my scientific analysis showed that his paintings are fract...