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Reports (Research Report) Year : 2011

Exact Comparison of Quadratic Irrationals

Phuc Ngo

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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Dates and versions

hal-00691762 , version 1 (27-04-2012)

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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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