Date: Jul 26, 2012 6:27 PM
Author: Richard Tobin
Subject: Re: What's the geometry meaning of i^i ?
In article <email@example.com>,
Hongyi Zhao <firstname.lastname@example.org> wrote:
>What's the geometry meaning of i^i ? Here, i is the imaginary unit.
We can naturally define b^x as e^(x log b). The principal value of
log i is pi/2 i, so i^i is e^(-pi/2).
All you need now is a geometric interpretation of log i. For an
imaginary number the log is i times the phase, but I'm not sure
that is really an interpretation.