sci.math Google Group

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2009-11-07T14:28:00Z

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Re: cos(pi/19)

2009-11-07T14:27:14Z

the fact that 2cos(pi/19)= exp(i pi/19) + exp(-i pi/19),
=sum of two roots of unity
prove only 2*cos(pi/19) is algebraic
so, there exists k in N^* such k*2*cos(pi/19) is algebraic integer
but, why (without calculation) k=1?
thanks

Re: Question on bounded variation functions

2009-11-07T14:18:22Z

On Sat, 7 Nov 2009 01:18:24 -0800 (PST), miki <miki.li...@gmail.com>
wrote:
Yes.
Of course not - the total variation on [a, b-eps] could be finite
for every eps > 0 but tend to infinity as eps -> 0.
If the total variation on [a,b-eps] is _bounded_ for eps > 0
then the total variation on [a,b) is finite.

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Re: A tricky ODE

2009-11-07T14:09:56Z

alainvergh...@gmail.com a écrit :
obviously not, since it exists solutions neither odd, neither even.

Re: Imagine the pressure you'd feel at the bottom of the Mariana Trench.

2009-11-07T13:53:06Z

Even you thought you were serious, Henri. It takes a big
man to admit his mistakes.

Re: Imagine the pressure you'd feel at the bottom of the Mariana Trench.

2009-11-07T13:50:53Z

Not "fusion", Henri, as the term is used in the physics community.
Take the case of black hole formation, where no known force stops
the collapse of the iron slag heap core.
In a millisecond or so, many solar masses of core, disappears
leaving a... you'll like this, Henri... a void! The rest of

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2009-11-07T13:32:02Z

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Re: What is a generalization?

2009-11-07T13:25:19Z

If you want statements that are right or wrong,
you'll need to frame them with more rigor.
Perhaps a close approximation to what you are
trying to discuss can be framed in terms of
category theory. "Functors" are maps from one
category to another which preserve relations
among objects and arrows:
[Category theory -- Wikipedia]

Re: A tricky ODE

2009-11-07T13:16:42Z

Thank you very much.

Re: scimoderatedmath is necessary for awhile

2009-11-07T13:12:02Z

I initially thought I'd agree with you. After further thought I think
that moderation is unnecessary and may in fact be a bad thing for the
non-trolls. Just ignore their posts and mark what you can as spam.
Patrick

Re: Infinity has no base

2009-11-07T13:08:55Z

How about a little bit more of an explanation.

full recovery proves p = np by eof

2009-11-07T13:08:05Z

Author: mikemccand
New Revision: 486579
URL: [link]
Log:
LUCENE-738: regenerating web site docs
Modified:
lucene/java/trunk/docs/filefor mats.html
lucene/java/trunk/docs/filefor mats.pdf
Modified: lucene/java/trunk/docs/filefor mats.html
URL: [link]

Trying to understand D_n in two dimensions

2009-11-07T13:06:13Z

In the dihedral group of order n where n is greater than or equal to 3
there are two general cases, n is odd or n is even
In both cases n mappings from D to itself exist as rotations of (2*pi)/
n
When n is odd there are also n mappings that exist as what I visualize
as "flips" (a rotation of pi radians about a vertex). In terms of