A theorem of Bôcher and Grace states that the critical points of a cubic polynomial are the foci of an ellipse tangent to the sides of the triangle joining the zeros. A more general result of Siebert and others states that the critical points of a polynomial of degree N are the algebraic foci of a curve of class N − 1 which is tangent to the lines joining pairs of zeroes. We prove the analogous...

Mobile terminal location has attracted much interest for its applications in emergency communications, location-sensitive browsing, and resource allocation. This paper introduces the use of nonparametric kernel-based estimators for location of mobile terminals using measurements of propagation delays. It is demonstrated that these estimators perform better than the previously used parametric ma...

ML-estimation based on mixtures of Normal distributions is a widely used tool for cluster analysis. However, a single outlier can make the parameter estimation of at least one of the mixture components break down. Among others, the estimation of mixtures of t-distributions by McLachlan and Peel [Finite Mixture Models (2000) Wiley, New York] and the addition of a further mixture component accoun...

the main factors affecting pregnancy and implantation rates are uterine receptivity, embryo quality, and transfer efficiency. embryo transfer (et) is the last step of critically important procedure of in vitro fertilization (ivf) and probably the least successful step in assisted reproductive technology (art) treatment cascade; though simple in most of the cases, it may pose to be the most diff...

Traditional perceptual learning protocols rely almost exclusively on long periods of uninterrupted fixation. Taking a first step towards understanding perceptual learning in natural vision, we had observers report the orientation of a briefly flashed stimulus (clockwise or counterclockwise from a reference orientation) presented strictly during saccade preparation at a location offset from the ...

An impact source identification technique for finite isotropic plates using a time-reversal method with associated signal processing algorithms is investigated experimentally. A series of low velocity impact experiments on an aluminum plate is performed to verify this impact identification method using merely four piezoelectric sensors. Validation of the experimental system for impact source id...