
Re: What's the geometry meaning of i^i ?
Posted:
Jul 27, 2012 1:22 AM


Richard Tobin wrote: > 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
Unit length is one solution. (i^i)^4 =1 , 1^(1/4)=1. Ken

