## Primitive Element in GF(2^32)...

I need to generate pimitive polynomials of degree 17 over GF(2^32) for use in an LFSR working over 32-bit words. Does anyone know how it can be done?

## repartition function in Maple...

I try to deduce distribution fonction from a parametrized set of points with Maple. At this stage I have a dataset define through a relationship like y=f(x), and I want to obtain the distribution of y points, given that x in [-A,A]. The theoretic formula is : F[Y](z) = P(y<z). i.e. F[Y](z) = Int(delta[f(x)< z],x=-A..A); and I use the piecewise Maple function to implement it ( Int(piecewise(f(x)< z,1,0),x=-A..A) ), but for Maple : Int(piecewise(f(x)< z,1,0),x=-A..A) = piecewise(Int(f(x)< z, x=-A..A),1,0)) which is totally different !

## bordered hessian ! help fast !...

If I have f:=x^2+1000*y: and under contraint g:=1000-x-y: how Do i find this Min or max with the hessian Bordered style ..... I allready know how to do the Lagrange version but this hessien ... im out .. and if it's the same ( because it's gona give me the same answer as if I do it with the !!!!!! Student:-MultivariateCalculus:-LagrangeMultipliers(f,[g],[x,y]); !!!! ) Thanks very urgent ! ( Im using Maple 9,5 if that makes a diff) Tx Jp

## Problems with Sub Routines...

Hi, I have been having problems using the three !!! button which calculates a whole spreadsheet. When it runs I have found that one of the lines in some of the sub routines doesn't always calculate. The line is a Spline interpolation function. If someone could help with this that would be great.

## Displaying Radicals on a Plot...

Is there a straightforward procedure to have a radical appear on the plot of a function? E.g, how can one display (2, sqrt(2)) in the plot but with the actual square-root symbol appearing. I've read in the knowledge base about the use of textplot. However, the routine is limited to exponents.

## Why my MAPLE program gives different result everyt...

This is a program discribing the dynamic behavior of a N pendelum system. When I tried to comparae the result of different initial conditions, I found that every time i run it, the graph will be different.

I know that double pendelum system is a typical chaotic system, is this the reason why i have different result for each time?

Here I attach the file, but plz rename it to ***.mws file before run, b/c i wrote it in maple classic worksheet.

> restart:
interface(warnlevel=0):
with(SolveTools):with( plots ): with( plottools ):
with( DEtools ): with( PDEtools ):
g:=9.81:
x[0][2]:=0:
y[0][2]:=0:
#initialization function of each beam,in this function, we should give 3 variables, n=the number of this #beam, la=the length of this beam, ma=the  mass of this beam,q=the initial angle of the beam,and qt=the initial angle velocity of the beam
beams:=proc(n,la,ma,q,qt)
global l,m,x,y,theta,icq,icqt:
icq[n]:=theta[n](0)=q:
icqt[n]:=D(theta[n])(0)=qt:
l[n]:=la:           #length of  beam n
m[n]:=ma:           #mass of beam n
#initialize the positions of each beam
x[n][2]:=0:        #the x position of the end point of each beam
y[n][2]:=0:        #the x position of the end point of each beam
x[n][1]:=0:        #the y position of the center point of each beam
y[n][1]:=0:        #the y position of the center point of each beam
end proc;
#define the forces that applied on the end of  beam n
Force:=proc(n,fm,fn)
global fx,fy:
fx[n]:=fm:
fy[n]:=fn:
end proc;

## Sheet for percolation...

has someone a sheet about percolation theory ? I put a very simple one on my blog: percolation

## pointplot a family of curves...

I can pointplot a single curve if I select a single element from the list below. Is it possible to use all the elements of the list and plot several curves on the same graph?

If I have the X and Y variable all done up and I am trying to find a way to figure out if their is a way to make up a quadratic equation with maple. and can maple find the inflextion point of this curve ? Any help would be appreciated. Thanks Jp

## Version Problem...

I have a procedure that will run fine in Maple 8 but gives an error when it is run in Maple 9.5. The error is a "cannot solve error". Are there any known issues that may lead to this type of problem? Thanks.

## Symbolic Computations under Max-Plus Algebra?...

Is there a way to do a Symbolic Computations under Max-Plus Algebra? For instance, linear algebra computations under under Max-Plus Algebra. I would like to appreciate any comments on it.

## Primitive Polynomials...

I need to search for primitive polynomials of degree n over finite fields GF(q), where q is a PRIME POWER. I have major difficulties doing that, especially when I wish to fix one of the coefficients of the polynomial. On the other hand, polynomials over GF(p) pose no problem. Does anybody have any experience in this? PLEASE HELP!