rationalize(denominator);
1/(3+Sqrt[7]+19^(1/3)+53^(1/4))

Go local. Message. Finish it this time. Clear. Tag.

No permissions on the other. Hanging on a limb.

Code. Expedite. Time it.

Finish.

___JSH

Round geometry in any dimension is an unchanging curve.

Mitch Raemsch

Deberiamos organizar un grupo para celebrar el Euro 2008
En que pais estan la mayoria de fanaticos? dimelo aqui

Nos gustaria organizar una fiesta en el pais con mas miembros.

Manuel
Deportivos.com

Hi,

I am reading a book and it makes the following statement.

Statement: Every integer can be written as the sum of four squares.

This was conjectered by Fermat and proven by Lagrange.

The book I am reading does not have this proof.

Is it a complicated proof?

I don't have a copy of Herstein handy - am guessing maybe it is in
there.

Is there a proof online or can it be summarized/mapped out by someone?

Thanks for any insights.

~A

hello,

can the order of matrix trace operator and integration be
interchanged ? specifically, i've come across the following result in
a paper i'm reading :

\int_X (x - \mu_x)^T E^{-1} (x - \mu_x) dP(x) = trace { C_x E^{-1} }

(in riemann-steljes form)

where,
C_x = E{(x - \mu_x) (x - \mu_x)^T} ... the expectation operator

working thru this result, i've come to:

LHS = \int_X p(x) trace{ (x - \mu_x) (x - \mu_x)^T E^{-1} } dP(x)

how do i proceed from here ?

thanks,
-fj

ps: btw - i'm not confident of the stated result itself - the
terminology and notation in the paper is extremely obfuscated. does
the result make sense ?

Let's denote the binomial coefficient
x! / [ (x-y)! y! ]
by C(x,y). Let p be a prime number, n an integer >0, and m an integer >= 0.
Prove that
C( p^n, mp ) - C( p^(n-1), m )
is divisible by p^n.

Hello,
Please i,m looking for a complete study guide for Physics: Principles
with Applications, 6th Ed. by Giancoli, Not the selected solution.
Please if you have it contact me ASAP because i need it for the
summer 2008.
Thanks
2BIG

Given a 2-dimensional affine transform (6 coefficients as defined at
http://java.sun.com/j2se/1.5.0/docs/api/java/awt/geom/AffineTransform.html )

[ x'] [ m00 m01 m02 ] [ x ] [ m00x + m01y + m02 ]
[ y'] = [ m10 m11 m12 ] [ y ] = [ m10x + m11y + m12 ]
[ 1 ] [ 0 0 1 ] [ 1 ] [ 1 ]

How can I separate this transformation into its components?

The translation vector is obviously , but after that it's not so
trivial. I would like to come up with:

* Rotation (scalar)
* Scaling or dilation (scalar or 2-D vector)
* Indication of whether the transform flips the image (bit)
* Skew (2-D vector?)

Pointers to info or even just the "right" terms to use in my web search
will be greatly appreciated!

--Spud Demon

There's a resource on the web for the purpose of collaboration when
writing mathematical papers.
It is called http://Wikimization.org

Essentially, the idea is this: If two or more authors wish to
collaborate, they must set up some kind of personal semaphore system
to make sure all authors are not editing simultaneously. This can be
quite inefficient. Suppose there were a place on the web where all
the authors could go to edit their joint work. That place should
have
a history buffer to show who was doing what and when. It should also
have a LaTeX-style input so the work can be easily compiled later
when
ready for publication.