Results 1 to 10 of about 179 (162)
We define a continuum percolation model that provides a collection of random ellipses on the plane and study the behavior of the covered set and the vacant set, the one obtained by removing all ellipses. Our model generalizes a construction that appears implicitly in the Poisson cylinder model of Tykesson and Windisch.
Augusto Teixeira, Daniel Ungaretti
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Ellipses, near ellipses, and harmonic Möbius transformations [PDF]
It is shown that an analytic function taking circles to ellipses must be a Möbius transformation. It then follows that a harmonic mapping taking circles to ellipses is a harmonic Möbius transformation.
Chuaqui, M, Duren, P, Osgood, B
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THE following approximate formula for finding the perimeter of a fairly flat ellipse may be found practically useful. Suppose a = 1, then the length of a quadrant of the ellipse is nearly where a is the major, and b the minor, axis. The formula works best from about b = 0·2 to b = 0·5, after which the formula of Boussinesq is more accurate, viz.
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Interpolation of the MacAdam Ellipses [PDF]
This paper is an attempt to provide a rigorous basis to the interpolation of the MacAdam ellipses. It starts by defining criteria used to compare the different possible interpolations. Then several interpolation strategies are compared. The main conclusion that arises from this comparison is that the ellipses should not be interpolated based on the ...
Chevallier, Emmanuel, Farup, Ivar
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Ellipses of World Literature [PDF]
Literature and Comparative ...
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On the motion of billiards in ellipses [PDF]
AbstractFor billiards in an ellipse e with an ellipse as caustic, there exist canonical coordinates on e such that the billiard transformation from vertex to vertex is equivalent to a shift of coordinates. A kinematic analysis of billiard motions offers a new approach to canonical parametrizations of billiards and associated Poncelet grids.
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Interpol review of forensic firearm examination 2019-2022. [PDF]
Mattijssen EJAT +3 more
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The author reviews the literature on supervision and the use of autoethnography as a research method.
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Multiple genetic alterations and behavior of cellular biology in gastric cancer and other gastric mucosal lesions:H.pylori infection, histological types and staging. [PDF]
Gao HJ +9 more
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