Fold maps from the sphere to the plane.
Hacon, D., Mendes de Jesus, C., Romero Fuster, M.C. (2006)
Experimental Mathematics
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Displaying similar documents to “On the asymptotic number of plane curves and alternating knots.”
Fold maps from the sphere to the plane.
Envelope construction of two-parameteric system of curves in the technological practice
Bartoň, Stanislav, Petřík, Michal
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A two-parametric system of close planar curves is defined in the introduction of the presented article. Next a theorem stating the existence of the envelope is presented and proved. A mathematical model of the collecting mechanism of the Horal forage trailer is developed and used for practical demonstrations. The collecting mechanism is a double joint system composed of three rods. An equation describing the trajectory of a random point of the working rod is derived using Maple. The...
Riemann existence theorem and construction of real algebraic curves
Stepan Yu. Orevkov (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Circuminscribed polygons in a plane annulus
Waldemar Cieślak, Elżbieta Szczygielska (2008)
Annales UMCS, Mathematica
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Each oval and a natural number n ≥ 3 generate an annulus which possesses the Poncelet's porism property. A necessary and sufficient condition of existence of circuminscribed n-gons in an annulus is given.
Enumerative formulae for unrooted planar maps: a pattern.
Liskovets, Valery A. (2004)
The Electronic Journal of Combinatorics [electronic only]
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The two uniform infinite quadrangulations of the plane have the same law
Laurent Ménard (2010)
Annales de l'I.H.P. Probabilités et statistiques
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We prove that the uniform infinite random quadrangulations defined respectively by Chassaing–Durhuus and Krikun have the same distribution.
Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees.
Schaeffer, Gilles (1997)
The Electronic Journal of Combinatorics [electronic only]
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On certain plane curves with many integral points.
Rodriguez Villegas, Fernando, Voloch, José Felipe (1999)
Experimental Mathematics
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On the minimizers of the Möbius cross energy of links.
He, Zheng-Xu (2002)
Experimental Mathematics
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Pencils of irreducible rational curves and plane Jacobian conjecture
Nguyen Van Chau (2011)
Annales Polonici Mathematici
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In certain cases the invertibility of a polynomial map F = (P,Q): ℂ²→ ℂ² can be characterized by the irreducibility and the rationality of the curves aP+bQ = 0, (a:b) ∈ ℙ¹.