--- On Mon, 11/8/10, Marko Vojinovic vvmarko@gmail.com wrote:
From: Marko Vojinovic vvmarko@gmail.com Subject: Re: how to generate pi in c To: "Community support for Fedora users" users@lists.fedoraproject.org Date: Monday, November 8, 2010, 3:27 PM On Monday, November 08, 2010 18:00:55 Bruno Wolff III wrote:
On Monday, November 08, 2010 04:49:33 Tim wrote:
On Sat, 2010-11-06 at 17:13 +0100,
Klaus-Peter Schrage wrote:
You are probably alle wrong - pi equals
3.125, see:
I was always under the impression that pi
was merely the ratio of the
circumference to the diameter, something
that's easy enough to prove
empirically (measure the two, and do the
maths).
Just remember that depends on Euclidean Geometry. In
other geometries (say
very large circles on the surface of the earth) the
ratio is different.
Ok, well, since this thread is already so far off-topic for a Fedora list, it won't hurt much to add a few more lines... :-)
The pi can actually be defined as a period of the exponential function, exp(z), in the imaginary direction. This is quite fundamental, and doesn't depend on any geometry definition whatsoever. Everything else can be considered a consequence, if you set up your axioms in a convenient way... ;-)
e^{i\pi} + 1 = 0
\pi = (\ln(-1)/i), but \ln(-1) does not exist? in the Real Numbers, and i = \sqrt(-1).
Interesting, indeed :)
Best, :-) Marko
--
Regards,
Antonio