# 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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