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  • 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.
  • 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. (en)
Title
  • Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals
  • Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals (en)
skos:prefLabel
  • Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals
  • Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals (en)
skos:notation
  • RIV/49777513:23520/11:43898293!RIV12-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S, Z(MSM4977751301)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 233715
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/11:43898293
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Rational curves, simple points, polynomials over rationals, exact and approximate parameterization algorithm. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [08D64D3386C2]
http://linked.open...v/mistoKonaniAkce
  • Bratislava
http://linked.open...i/riv/mistoVydani
  • Bratislava
http://linked.open...i/riv/nazevZdroje
  • 10th International Conference Aplimat, Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava February 1-4, 2011, Bratislava, Slovak Republic
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Bizzarri, Michal
  • Lávička, Miroslav
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava
https://schema.org/isbn
  • 978-80-89313-51-8
http://localhost/t...ganizacniJednotka
  • 23520
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