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| HAL : hal-00691762, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Exact Comparison of Quadratic Irrationals |
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| Phuc Ngo 1 |
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| (17/03/2011) |
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| This paper discusses the relationship between quadratic irrational numbers and periodic continued fractions. By using some basic properties of this relationship, we will show how to compare exactly two quadratic irrationals. Instead of using their numerical values which are approximations of the real values, we use their corresponding continued fractions each of which contains only a finite set of integers. |
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| 1 : | Laboratoire d'Informatique Gaspard-Monge (LIGM) |
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Université Paris-Est Marne-la-Vallée (UPEMLV) – ESIEE – Ecole des Ponts ParisTech – Fédération de Recherche Bézout – CNRS : UMR8049 |
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| Domaine | : | Sciences cognitives/Informatique |
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| quadratic irrational – periodic continued fraction – exact comparison |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00691762, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00691762 | |
| oai:hal.archives-ouvertes.fr:hal-00691762 | |
| Contributeur : Phuc Ngo | |
| Soumis le : Vendredi 27 Avril 2012, 00:22:02 | |
| Dernière modification le : Mardi 22 Mai 2012, 09:12:50 | |
