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Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals

Citace: [] BIZZARRI, M., LÁVIČKA, M. Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals. In 10th International Conference Aplimat, Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava February 1-4, 2011, Bratislava, Slovak Republic. Bratislava: Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava, 2011. s. 629-638. ISBN: 978-80-89313-51-8
Druh: STAŤ VE SBORNÍKU
Jazyk publikace: eng
Anglický název: Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals
Rok vydání: 2011
Místo konání: Bratislava
Název zdroje: Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava
Autoři: Mgr. Michal Bizzarri , RNDr. Miroslav Lávička Ph.D.
Abstrakt EN: It is well known that an irreducible algebraic curve is rational if and only if its genus is zero. In this paper, we provide a simple symbolic algorithm to parameterize approximately affine rational plane curves by means of linear systems of adjoint curves and one chosen rational point with the guaranty that the coefficients of the obtained parameterization are rational. The designed technique is suitable especially for curves not containing rational points and for curves for which it is too difficult to find these points.
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