On Fri, 09 Jan 2015 23:41:15 +0200, Marko Rauhamaa <ma...@pacujo.net> wrote: > Peter Pearson <pkpearson@nowhere.invalid>: > >> If you've never looked at the set of reals (x,y) satisfying x**y == >> y**x, it's worth a visit. > > Thanks, it was. The graph's something like this: [snip] > > Where can I read more on the topic?
Sorry, I don't know. One Phil Rust steered me to this problem in high school (c. 1964), and I never got much traction on it until Prof. Alfred Roch at EPFL pointed out (c. 1981) that it's revealing to think of horizontal lines intersecting the graph of ln(x)/x. If you like this sort of thing, here's another cute function that the same Phil Rust called to my attention: http://webpages.charter.net/curryfans/peter/XtoTheXtoTheX/ode_to_e.html -- To email me, substitute nowhere->runbox, invalid->com. -- https://mail.python.org/mailman/listinfo/python-list
