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September 14th, 2011, 10:42 AM   #1
 
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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!
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September 14th, 2011, 01:54 PM   #2
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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 in-between two successive approximants but I don't recall off the top of my head.
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