In the irrationality measure sense: http://en.wikipedia.org/wiki/Liouville%27s_number#Irrationality_measure http://mathworld.wolfram.com/IrrationalityMeasure.html e is one of the "least transcendental" numbers and the Liouville numbers as the "most transcendental" numbers. Warut On Sun, Jun 13, 2010 at 2:27 PM, Kerry Mitchell <lkmitch@gmail.com> wrote:
I've read that phi (~ 1.618, (1+sqrt(5))/2) is the "most irrational" number because of how poorly it is approximated by rational numbers. I assume that this is because it's continued fraction expansion is all 1's. Is there a sense in which some number is the "most transcendental" number? If so, what would that number and that meaning be?
Kerry Mitchell -- lkmitch@gmail.com www.kerrymitchellart.com http://spacefilling.blogspot.com/ _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun