On Thu, Jul 17, 2014 at 5:00 PM, Ian Kelly <ian.g.ke...@gmail.com> wrote: > On Thu, Jul 17, 2014 at 3:08 PM, Marko Rauhamaa <ma...@pacujo.net> wrote: >> Ian Kelly <ian.g.ke...@gmail.com>: >> >>> Well, 0**0 is usually defined as 1, despite the limits being >>> ambiguous. >> >> <URL: https://www.math.hmc.edu/funfacts/ffiles/10005.3-5.shtml> >> >> But if it could be defined, what "should" it be? 0 or 1? > > I did say "usually". There's not one single Holy Keeper of the > Definitions for mathematics. Wikipedia lists some differing opinions > on the subject: > > http://en.wikipedia.org/wiki/Exponentiation#Zero_to_the_power_of_zero > > I note that mathworld.wolfram.com also lists it as undefined, though.
Incidentally, as noted in the Wikipedia article you left out some options -- it's not just between 0 or 1. It's also possible to derive a limit of positive infinity or any nonnegative real. -- https://mail.python.org/mailman/listinfo/python-list