Mark Wooding wrote:
Would the world be a better place if we had a name for 2 pi rather than
pi itself?
I don't think so. The women working in the factory in India
that makes most of the worlds 2s would be out of a job.
--
Greg
--
http://mail.python.org/mailman/listinfo/python-list
Steven D'Aprano steve-remove-t...@cybersource.com.au writes:
Well, what is the definition of pi? Is it:
the ratio of the circumference of a circle to twice its radius;
the ratio of the area of a circle to the square of its radius;
4*arctan(1);
the complex logarithm of -1 divided by the
On Wed, Oct 13, 2010 at 07:31:59PM +, Steven D'Aprano wrote:
On Wed, 13 Oct 2010 16:17:19 +0200, Antoon Pardon wrote:
On Wed, Oct 13, 2010 at 01:20:30PM +, Steven D'Aprano wrote:
On Tue, 12 Oct 2010 22:13:26 -0700, RG wrote:
The formula: circumference = 2 x pi x radius is
Steven D'Aprano wrote:
under Euclidean
geometry, there was a time when people didn't know whether or not the
ratio of circumference to radius was or wasn't a constant, and proving
that it is a constant is non-trivial.
I'm not sure that the construction you mentioned proves that
either,
Steven D'Aprano steve-remove-t...@cybersource.com.au writes:
On Wed, 13 Oct 2010 21:52:54 +0100, Arnaud Delobelle wrote:
Given two circles with radii r1 and r2, circumferences C1 and C2, one is
obviously the scaled-up version of the other, therefore the ratio of
their circumferences is
On Tue, 12 Oct 2010 22:13:26 -0700, RG wrote:
The formula: circumference = 2 x pi x radius is taught in primary
schools, yet it's actually a very difficult formula to prove!
What's to prove? That's the definition of pi.
Incorrect -- it's not necessarily so that the ratio of the
On 2010-10-13 14:20:30 +0100, Steven D'Aprano said:
ncorrect -- it's not necessarily so that the ratio of the circumference
to the radius of a circle is always the same number. It could have turned
out that different circles had different ratios.
But pi is much more basic than that, I think.
On Wed, Oct 13, 2010 at 01:20:30PM +, Steven D'Aprano wrote:
On Tue, 12 Oct 2010 22:13:26 -0700, RG wrote:
The formula: circumference = 2 x pi x radius is taught in primary
schools, yet it's actually a very difficult formula to prove!
What's to prove? That's the definition of pi.
On Wed, 13 Oct 2010 15:07:07 +0100, Tim Bradshaw wrote:
On 2010-10-13 14:20:30 +0100, Steven D'Aprano said:
ncorrect -- it's not necessarily so that the ratio of the circumference
to the radius of a circle is always the same number. It could have
turned out that different circles had
On Wed, 13 Oct 2010 16:17:19 +0200, Antoon Pardon wrote:
On Wed, Oct 13, 2010 at 01:20:30PM +, Steven D'Aprano wrote:
On Tue, 12 Oct 2010 22:13:26 -0700, RG wrote:
The formula: circumference = 2 x pi x radius is taught in primary
schools, yet it's actually a very difficult formula to
Steven D'Aprano st...@remove-this-cybersource.com.au writes:
On Wed, 13 Oct 2010 16:17:19 +0200, Antoon Pardon wrote:
On Wed, Oct 13, 2010 at 01:20:30PM +, Steven D'Aprano wrote:
On Tue, 12 Oct 2010 22:13:26 -0700, RG wrote:
The formula: circumference = 2 x pi x radius is taught in
On Wed, 13 Oct 2010 21:52:54 +0100, Arnaud Delobelle wrote:
Steven D'Aprano st...@remove-this-cybersource.com.au writes:
On Wed, 13 Oct 2010 16:17:19 +0200, Antoon Pardon wrote:
On Wed, Oct 13, 2010 at 01:20:30PM +, Steven D'Aprano wrote:
On Tue, 12 Oct 2010 22:13:26 -0700, RG wrote:
On Oct 13, 12:31 pm, Steven D'Aprano st...@remove-this-
cybersource.com.au wrote:
0.2141693770623265
Perhaps this will help illustrate what I'm talking about... the
mathematician Mitchell Feigenbaum discovered in 1975 that, for a large
class of chaotic systems, the ratio of each bifurcation
Steve Howell showel...@yahoo.com writes:
And yet nobody can recite this equally interesting ratio to thousands
of digits:
0.2141693770623265...
That is 1/F1 where F1 is the first Feigenbaum constant a/k/a delta.
The mathworld article is pretty good:
Keith Thompson ks...@mib.org wrote:
The radian is defined as a ratio of lengths. That ratio
is the same regardless of the size of the circle. The
choice of 1/(2*pi) of the circumference isn't arbitrary
at all; there are sound mathematical reasons for it.
Yes, but what is pi then?
In article
f15c3684-97b3-4605-a6d0-eb6b8aaf2...@a7g2000prb.googlegroups.com,
Peter Nilsson ai...@acay.com.au wrote:
Keith Thompson ks...@mib.org wrote:
The radian is defined as a ratio of lengths. That ratio
is the same regardless of the size of the circle. The
choice of 1/(2*pi) of the
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