Re: ATTENTION BILL GATE
- From: "Stephen Howe" <stephenPOINThoweATtns-globalPOINTcom>
- Date: Mon, 19 Dec 2005 21:26:21 -0000
> naw more like undefined i^pi
That is not undefined. That is
cos ((pi * pi) / 2) + i * sin ((pi * pi) / 2)
around the unit circle in the complex plane.
It works out that pi, e and i, thre greatest Mathematical constants are
related by the equation
e ^ ( pi * i) == -1
which follows from the identity
e ^ (i* pi * x) == cos(pi * x) + i * sin (pi * x)
which in turn follows for the Taylor series for e(x), sin(x), cos(x).
Stephen Howe
.
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