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Groups > comp.lang.python > #83507
| From | Peter Pearson <pkpearson@nowhere.invalid> |
|---|---|
| Newsgroups | comp.lang.python |
| Subject | Re: [OT] x**y == y**x |
| Date | 2015-01-10 16:57 +0000 |
| Message-ID | <chd3vaFip6hU1@mid.individual.net> (permalink) |
| References | (3 earlier) <87a91s1kh4.fsf@elektro.pacujo.net> <mailman.17512.1420793559.18130.python-list@python.org> <qotr3v49va0.fsf@ruuvi.it.helsinki.fi> <chaierFt612U1@mid.individual.net> <87wq4vfx8k.fsf@elektro.pacujo.net> |
On Fri, 09 Jan 2015 23:41:15 +0200, Marko Rauhamaa <marko@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.
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Re: Decimals and other numbers Devin Jeanpierre <jeanpierreda@gmail.com> - 2015-01-08 19:02 -0800
Re: Decimals and other numbers Marko Rauhamaa <marko@pacujo.net> - 2015-01-09 09:28 +0200
Re: Decimals and other numbers Chris Angelico <rosuav@gmail.com> - 2015-01-09 18:37 +1100
Re: Decimals and other numbers Marko Rauhamaa <marko@pacujo.net> - 2015-01-09 11:31 +0200
Re: Decimals and other numbers Dave Angel <davea@davea.name> - 2015-01-09 02:49 -0500
Re: Decimals and other numbers Devin Jeanpierre <jeanpierreda@gmail.com> - 2015-01-09 00:51 -0800
Re: Decimals and other numbers Jussi Piitulainen <jpiitula@ling.helsinki.fi> - 2015-01-09 11:07 +0200
[OT] x**y == y**x Peter Pearson <pkpearson@nowhere.invalid> - 2015-01-09 17:46 +0000
Re: [OT] x**y == y**x Marko Rauhamaa <marko@pacujo.net> - 2015-01-09 23:41 +0200
Re: [OT] x**y == y**x Peter Pearson <pkpearson@nowhere.invalid> - 2015-01-10 16:57 +0000
Re: Decimals and other numbers Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-01-09 19:49 +1100
Re: Decimals and other numbers Devin Jeanpierre <jeanpierreda@gmail.com> - 2015-01-09 00:58 -0800
Re: Decimals and other numbers Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-01-09 21:20 +1100
Re: Decimals and other numbers Chris Angelico <rosuav@gmail.com> - 2015-01-09 21:39 +1100
Re: Decimals and other numbers Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-01-09 23:24 +1100
Re: Decimals and other numbers Chris Angelico <rosuav@gmail.com> - 2015-01-09 23:34 +1100
Re: Decimals and other numbers Devin Jeanpierre <jeanpierreda@gmail.com> - 2015-01-09 17:25 -0800
Re: Decimals and other numbers Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-01-10 16:08 +1300
Re: Decimals and other numbers Devin Jeanpierre <jeanpierreda@gmail.com> - 2015-01-09 01:11 -0800
Re: Decimals and other numbers Marko Rauhamaa <marko@pacujo.net> - 2015-01-09 11:34 +0200
Re: Decimals and other numbers Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2015-01-09 22:03 +1100
Re: Decimals and other numbers Marko Rauhamaa <marko@pacujo.net> - 2015-01-09 11:44 +0200
Re: Decimals and other numbers Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-01-10 16:05 +1300
Re: Decimals and other numbers Devin Jeanpierre <jeanpierreda@gmail.com> - 2015-01-09 19:57 -0800
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