http://www.johndcook.com/blog/2009/05/19/golden-ratio-rational-approximation/ The blog of John D. Cook Fri, 19 Mar 2010 19:25:59 -0400 http://wordpress.org/?v=2.8.4 hourly 1 http://www.johndcook.com/blog/2009/05/19/golden-ratio-rational-approximation/comment-page-1/#comment-34792 John Myles White Tue, 16 Mar 2010 19:18:39 +0000 http://www.johndcook.com/blog/?p=2299#comment-34792 Interesting. I always think of phi as being the irrational number whose rational approximations are the most beautiful, since it is the value of the continued fraction, [1, 1, 1, 1, ...]. I'll have to work through the details of Hurwitz's theorem. Interesting. I always think of phi as being the irrational number whose rational approximations are the most beautiful, since it is the value of the continued fraction, [1, 1, 1, 1, ...]. I’ll have to work through the details of Hurwitz’s theorem.

]]> http://www.johndcook.com/blog/2009/05/19/golden-ratio-rational-approximation/comment-page-1/#comment-18840 Carnival of Mathematics #53 « The Math Less Traveled Fri, 05 Jun 2009 22:34:11 +0000 http://www.johndcook.com/blog/?p=2299#comment-18840 [...] could breastfeeding possibly have to do with the golden ratio? John Cook discusses rational approximations over at his blog, The [...] [...] could breastfeeding possibly have to do with the golden ratio? John Cook discusses rational approximations over at his blog, The [...]

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