how to generate pi in c
gnrp at physik.tu-berlin.de
Wed Nov 10 05:01:09 UTC 2010
just to get more off-topic... ;-)
On Mon, 8 Nov 2010 20:01:19 +1100 (EST)
Ian Smith <smithi at nimnet.asn.au> wrote:
> And while a square enclosing a circle, it's hardly squaring the circle:
> http://en.wikipedia.org/wiki/Squaring_the_circle .. but an interesting
> read nonetheless for unrequited seekers of pi-foo :)
In our case, it is as possible/exact as computing pi.
When computing pi, you resolve to the same problem as you have when
'squaring' a circle: Transcendental numbers over the given field.
Just having rational numbers, you can just approximate pi, and as a human or
computer, one doesn't have the power to imagine pi or give it an exact value.
And I don't know, but doubt there's someone who can imagine anything else than
rational or at least over Q algebraic numbers.
The same with the squared circle: You can approximate it, but over the the
field of the constructible numbers, the length is transcendental, so you
cannot exactly draw it without further assumptions.
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