Hi Gurus,

Here is a question on inequalities. I hope some one will be able to
help me with this.

x > 0, p > 0, p = 4*a*b, where a and b are two positive integers.

find range of x for
x^2 - x > p

Please help!

Ram

I have a question on Berry phase for this very simple example:

Define D as the 4X4 diagonal 0-1 matrix

[1000]
[0000]
[0010]
[0000]

Define M as the symmetric 4X4 0-1 matrix

[0001]
[0011]
[0100]
[1100]

Define the parameterized Hamiltonian

H(x,y) = (x^2+y^2)*M + D (x,y real)

The maximum eigenvalue of H(x,y) has only one degeneracy at
(x,y) = (0,0)

Let P(t) be the circular path (sin(t),cos(t)) [0<=t<=2*pi].

The maximum eigenvalue of H on P(t) is always 2 and has an
eigenvector = |1,1,1,1>/2 independent of t.
The Hamiltonian on the path H(sin(t),cos(t)) is constant.

Hi:
I had a homepage as below before,but now I can't
find it.
http://math.smsu.edu/%%7Eles/POTW.html
Anyone knows where the site can be?
Thanks a lot.
Kuen

Gurus,

I dont seem to be good at Math anymore - unfortunately I require a
solution critical to a problem I am facing.

What is the range of x for

x^2 - p < x

where p > 0 and x > 0.

Please help!

Ram

... as http://www.tinaja.com/glib/nucalc23.pdf

It is on an expanded and updated magic sinewave calculator.

Sorcecode available as http://www.tinaja.com/glib/nucalc23.psl
Additional GuruGrams at http://www.tinaja.com/gurgrm01.asp
Additional magic sinewave info at http://www.tinaja.com/magsn01.asp

--
Many thanks,

Don Lancaster voice phone: (928)428-4073
Synergetics 3860 West First Street Box 809 Thatcher, AZ 85552
rss: http://www.tinaja.com/whtnu.xml email: don@tinaja.com

Please visit my GURU's LAIR web site at http://www.tinaja.com

Interesting paper, see http://www.analyticbridge.com/main/search/search?q=goldbach

Where can i find the source code to Han De Bruijns implementable set
theory.

Where is the source code to han de bruijns implementable set logic?

or an analogue of finding the golden mean

something like

1 = exp(x) - exp(x^2) ??

simon plouffe wrote :

what if k equals a polynomial that does not have coefficients larger than 1 ?

***
tomic polynomial:

all coefficients are E [-1,0,1]

none of its zero's is a root of unity / [-1,1]

zero is not a root of the polynomial
***