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Exact Comparison of Quadratic Irrationals

Abstract : 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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https://hal.archives-ouvertes.fr/hal-00691762
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Submitted on : Friday, April 27, 2012 - 12:22:02 AM
Last modification on : Tuesday, October 19, 2021 - 11:26:19 AM
Long-term archiving on: : Saturday, July 28, 2012 - 2:30:29 AM

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  • HAL Id : hal-00691762, version 1

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Phuc Ngo. Exact Comparison of Quadratic Irrationals. [Research Report] LIGM. 2011. ⟨hal-00691762⟩

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