sci.math Google Group

This Week's Finds in Mathematical Physics (Week 294)

2010-03-22T15:45:06Z

Also available at [link]
March 21, 2010
This Week's Finds in Mathematical Physics (Week 294)
John Baez
Sorry, I've been busy writing papers for the last couple of
months. But I'm not done with my story of electrical circuits! It
will take a few more episodes for me to get to the really cool part:

Re: Trying to stop posting

2010-03-22T15:40:25Z

eraserhead?

Re: ------ --- --- equation

2010-03-22T15:32:12Z

*** *** Little correction: c^2 is an integer but c is not an
integer ****

Re: Good basic math textbook?

2010-03-22T15:27:56Z

In my long experience in learning Mathematics, the best book by and
large, is
"Mathematics. From the Birth of Numbers" of Jan Gullberg -W.W.Norton &
Company
1997.
That are 1100 pages of well graduated teaching, good exercises,
interesting
histories and superb ilustrations.It covers all clasical mathematics:

------ --- --- equation

2010-03-22T15:20:11Z

Consider the following equation under the given conditions.
(c/2f)^2 = (a^5 + b^5)/(4d^5 +e^10) (1)
Conditions: a, b, c, d, e, f are integers each > 1., b and e are
even; (a, b) = 1; (d, e) = 1.
Assertion: (1) has no solutions for the given conditions.
Any helpful comments about the correctness of the assertion will be

Re: A regularity in Collatz sequences

2010-03-22T14:57:22Z

Yes. I was wrong because I made the account by hand.
But the issue is the conjecture: "The limit in N = infinte is
0.718......"
Please. Check my result for N = 5000. In this case I got 0.7183...
Ludovicus

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Re: 'When Are Relations Neither True Nor False?

2010-03-22T14:50:16Z

Bah! Even barely educated guesses rise far above the level of the worst
evidence.

Re: Fourier transform of a Gaussian in finite fields

2010-03-22T14:46:57Z

I could tell you, but when the series gets
to the term involving p!, the world and all
the finite field Fourier transforms inside
would blow [u]p!
--c

Re: BEAUTIFUL DEAD SCIENCE

2010-03-22T14:42:33Z

Beautiful dead science destroys ugly living opponents:
[link]
Peter Hayes "The Ideology of Relativity: The Case of the Clock
Paradox" : Social Epistemology, Volume 23, Issue 1 January 2009, pages
57-78
"The gatekeepers of professional physics in the universities and

Re: 'When Are Relations Neither True Nor False?

2010-03-22T14:41:54Z

It's hard to say, since your statement of this theorem is rather
opaque. For instance, what is encoded(G(T))?

Re: Fourier transform of a Gaussian in finite fields

2010-03-22T14:07:23Z

On Mar 20, 5:03 pm, "magya_bl...@yahoo.com" <magya_bl...@yahoo.com>
wrote:
Please define e for us. What does *it* mean in Z/pZ?

Re: Dense Riddle

2010-03-22T13:47:29Z

I don't know where I am, but an empty set
can be dense only (in a vacuous sense) if
we speak of the (unique) topology of the
empty set. Wikipedia for one seems happy
to allow this construction, but I suspect
you wouldn't want to be in any topology
that Wikipedia would accept.
regards, chip

Re: Rotation question

2010-03-22T13:36:35Z

Tim Walters wrote :
Hi,
I don't have Geometer's SketchPad [GSP] but I widely use
JavaSketchpad [JSP] which is the way GSP uses to export to
HTML pages.
So I suspect that the "classical" functions available in JSP have
a correspondance in GSP. Although it is not the same (some functions
available in one and not in the other, or with different definitions).

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