
Re: What's the geometry meaning of i^i ?
Posted:
Jul 26, 2012 6:27 PM


In article <junsli$7n8$1@aspen.stu.neva.ru>, Hongyi Zhao <hongyi.zhao@gmail.com> 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.
 Richard

