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Titlebook: Algorithms in Algebraic Geometry and Applications; Laureano González-Vega,Tomás Recio Conference proceedings 1996 Birkhäuser Verlag, P.O.

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https://doi.org/10.1007/978-3-658-17800-0In this paper we deal with the algorithm of construction of an effective positivstellensatz given in [Lom1], for the particular case of a family of univariate polynomials with coefficients in a real closed field.
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,Viro’s method and T-curves,Let . be a real algebraic plane projective curve of degree ., i.e., a real homogeneous polynomial in three variables of degree . considered up to multiplication by a non-zero real number. We suppose the curve to be non singular, which means that the polynomial does not have singular points in .. 0.
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Computational conformal geometry,This paper describes some of the activities and results of the EC HCM network “Computational Conformal Geometry”.. This network is a continuation of the Science Plan project “Computational Problems in the Theory of Riemann Surfaces and Algebraic Curves”..
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https://doi.org/10.1007/978-3-662-01576-6.,…,.. Є .[..,..] of degree ≤ . such that .. belongs to the ideal generated by ..,…, .. that and each solution ..,…, .. of the equation.satisfies max deg.. In other words, the growth of the degrees of the polynomial coefficients in the representation problem for an ideal .. is, in general, double-exponential.
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