Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site unc.UUCP Path: utzoo!linus!decvax!mcnc!unc!rentsch From: rentsch@unc.UUCP (Tim Rentsch) Newsgroups: net.math Subject: Re: what is i raised to the ith power? Message-ID: <6742@unc.UUCP> Date: Sat, 11-Feb-84 12:43:31 EST Article-I.D.: unc.6742 Posted: Sat Feb 11 12:43:31 1984 Date-Received: Tue, 14-Feb-84 01:09:17 EST References: <680@linus.UUCP> <5043@umcp-cs.UUCP>, <353@ihlts.UUCP> Organization: CS Dept., U. of N. Carolina at Chapel Hill Lines: 13 Just to add fuel to the controversy -- the stuff with multiple values happens only if that nasty log function (which is multiple valued, and no mistake) gets involved. There are no such problems with exp(x) since it is defined by the power series exp(x) = sum from i = 0 to 1/0 of x**i/i! which converges for all x and does not require anything funny for multiple values (since integer exponentiation is quite well defined). What about the i**i case? Some clever person know how to define x**y without using log (and so clear up all this multiple valued nonsense)?