
Math Software Math Software  Mathematica, Matlab, Calculators, Graphing Software 
 LinkBack  Thread Tools  Display Modes 
September 14th, 2011, 10:42 AM  #1 
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: 12,867 Thanks: 96  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.


Tags 
approximation, mathematica, question 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
An approximation question  zaidalyafey  Number Theory  15  March 25th, 2013 09:39 PM 
mathematica  DANDIS  Math Software  7  February 14th, 2012 10:27 AM 
Mathematica  phoebe  Math Software  3  February 2nd, 2012 09:17 AM 
Mathematica  sivela  Math Software  2  April 15th, 2010 03:30 PM 
Mathematica  billymac00  Number Theory  5  September 6th, 2009 09:59 PM 