1,721,344 research outputs found

    Erratum: Cloaking using anisotropic multilayer circular cylinder (AIP Advances (2020) 10 (095312) DOI: 10.1063/5.0012769)

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    Co-author Mehwish Nisar should have had an additional affiliation noted in the byline of our original manuscript.1 The correct affiliations for this manuscript are as listed above

    The anatomical assessment of the renal fascia in the normal subject by using computed tomographic equipment with advanced technology

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    One hundred patients, affected with diseases not involving the peri-renal and pararenal spaces, have been examined in order to evaluate the visibility of the renal fasciae, using a CT scanner provided with high spatial and contrast resolution. The anterior renal fascia has been recognized in 71% of cases on the right side and in 88% on the left. The posterior renal fascia had 96% of positive bilateral detectability. The latero-conal fascia was detected in 83% of cases on the right and in 91% on the left. The inter-renal fascia was recognized in 25% of cases, at the pancreas or, more frequently, on caudal planes. The peri-renal septa were seen in 58% of cases, mainly on the left side. Compared to previous data reported by other authors, the visibility of the renal fasciae has been increased by the greater spatial and contrast resolution offered by the new CT scanner, thus allowing better anatomical evaluation of peri and para-renal spaces

    Apollonian packing of circles within ellipses

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    The purpose of a circle packing procedure is to fill up a predefined, geometrical, closed contour with a maximum finite number of circles. The subject has received considerable attention in pure and applied sciences and has proved to be highly effective in connection with many a problem in logistics and technology. The well-known Apollonian circle packing achieves the packing of an infinite number of mutually tangent smaller circles of decreasing radii, internal or tangent to the outer boundary. Algorithms are available in the literature for the packing of equal-radius circles within an ellipse for global optimization purposes. In this paper, we propose a new algorithm for the Apollonian packing of circles within an ellipse, based on fundamental numerical methods, granting suitable speed, accuracy and stability. The novelty of the proposed approach consists in its applicability to the Apollonian packing of circles within a generic, closed, convex contour, if the parametrization of its outer boundary is given
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