Re: Just for some Minor Amusement (i and pi) Message #2 Posted by Karl Schneider on 30 Mar 2007, 2:29 a.m., in response to message #1 by Chuck
Hello, Chuck 
I've never seen that particular problem, but have worked similar ones.
pi^i = cos(ln(pi)) + i*sin(ln(pi))
= 0.41329 + i*0.91060
i^pi = cos(0.5*pi^2) + i*sin(0.5*pi^2)
= 0.22058  i*0.97537
The magnitude is unity in each case because cos^{2} x + sin^{2} x = 1
The HP15C handles these calculations with aplomb, if not blazing speed:
pi^i: i^pi:
g pi 1
1 Re<>Im
Re<>Im g pi
y^x y^x
g ABS g ABS
Here's an archived post of mine that some may find helpful:
http://www.hpmuseum.org/cgisys/cgiwrap/hpmuseum/archv014.cgi?read=66246#66246
 KS
Edited: 30 Mar 2007, 11:41 p.m. after one or more responses were posted
