Re: Pi day

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#67

From: Vincent Johns
Date: Sun, 30 Mar 1997 00:00

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(posted & emailed)

Ron Bauerle <bauerle@erie.ge.com> wrote:
> 
> In article <5gk8lm$qmj@opus.vcn.bc.ca>, landmark@vcn.bc.ca (Scott Phung) writes:
> >
> >Isn't it ironic how the imaginary number raised to the imaginary
> >power equals a real number? (Involving the important constants pi,
> >and e)  :-)
> 
> Anybody got a proof for that?  i^i = exp(-pi/2)?

What about this?

  i = e^(i*pi/2) = cos(pi/2) + i*sin(pi/2)

  i^i = e^(i^2*pi/2)
      = e^(-pi/2)
      = exp(-pi/2)

-- 

                      -- Vincent Johns

Please feel free to quote anything I say here.

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From: Vincent Johns <vjohns@telepath.com>
Subject: Re: Pi day
Date: 1997/03/30
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