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September 14th, 2011, 10:42 AM  #1 
Member Joined: Sep 2010 Posts: 60 Thanks: 0  Mathematica question (approximation)
How can we find the least p and q positive integers of an x positive real number for that: /diophantine approximation/ Thank you very much in advance! 
September 14th, 2011, 01:54 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Mathematica question (approximation)
I suppose you could take the continued fraction of x and take successive terms until it was good enough. If you need the absolute smallest there's a way to find the fractions inbetween two successive approximants but I don't recall off the top of my head.


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