This is just the integer relation problem for n = 3. The integer relation problem for n = 2 is solvable by the standard Euclidean algorithm. For n = 3 one can use PSLQ, or suitably modified application of LLL. DHB -----Original Message----- From: math-fun-admin@mailman.xmission.com [mailto:math-fun-admin@mailman.xmission.com]On Behalf Of Eugene Salamin Sent: Sunday, December 08, 2002 3:04 PM To: math-fun@mailman.xmission.com Subject: [math-fun] Simultaneous rational approximation of two irrationals If x is irrational, and I wish to best approximate the ratio x:1 by integers a:b, then I would use continued fractions. Suppose x and y are irrational, and I wish to best approximate the ratio x:y:1 by integers a:b:c. Is it known how to do this? __________________________________________________ Do you Yahoo!? Yahoo! Mail Plus - Powerful. Affordable. Sign up now. http://mailplus.yahoo.com _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun