## 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?

## Maple 9 Remembering Function assignments?...

I'm trying to solve a partial differential equation with two boundary conditions below.  The general solution contains arbitrary functions of the non-differentiated variable.  These functions are solved for and assigned but do not appear in the final solution return.  Can anybody help me with this?

> restart;

> l:=lambda;

## Maple 9 Remembering Function Assignments?

by: Maple

I'm trying to solve a partial differential equation with two boundary conditions below.  The general solution contains arbitrary functions of the non-differentiated variable.  These functions are solved for and assigned but do not appear in the final solution return.  Can anybody help me with this?

> restart;

> l:=lambda;

## Plot to PS from Maple 10 for Mac?...

Hi. I'm a very new Maple user, but I don't think that this qualifies as a Newbie question. Has anybody had problems when trying to write directly to a PS file from within the Maple GUI on OS 10.4.3 for Mac? Consider the following: currentdir(kernelopts(homedir)): plotsetup(ps,plotoutput="testplot.ps"): plot(sin(x),x=0..2*Pi); Running this code from the command-line works as expected, but running this from the GUI interface usually returns: Error, Error in device driver: plot terminated The strange thing is that about 10% of the time, the above code actually will work from the GUI. I cannot produce failure or success consistently in the GUI. I have tried this on both a G4 and a G5. Am I the only user who has had this problem?

## Maple - MATLAB graphical interface

by: Maple
It is often difficult to use the Symbolic toolbox of Matlab (which is linked to the Maple engine). It can be difficult to read the input and output from the toolbox. To solve this problem, I have developed a graphical interface to the Symbolic toolbox as I describe below.

## 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 !

## strange numerical integration...

Using the following integrand

.71428491807021e-1*(1/2-1/2*erf(.50253255206611e-2*xi*2^(1/2)))/Pi^(1/2)*
exp(-1/2*(.14285698361405*xi-5.6995353453900)^2)*2^(1/2)*(1/2+1/2*
erf(1.1171516020037*(5.4091420603773+.44756682898115*xi)*2^(1/2)))

I get -0 for Int( %, xi= -99.496042185589..infinity): evalf(%,14);

which certainly is false. But if I cut off at a reasonable upper bound
(say exp(...) <= 1E-16) I get what I expect (up to rounding errors).

I consider that as a bug and wonder whether it is in the NAG library
or through Maple calling it - any explanation?

## Plotting Modes of Elliptical Wave Equation...

I was wondering if some one had the knowledge as to why the plot3d command will not work for the dirichlet elliptical wave equation, at fixed time t, yet maple is able to evaluate this function at specific values for theta and r. (the coord system for the 3d plot should work with "ellcylindrical" but does not)

the modes of the function look like (for Cosine-Elliptic)

MathieuCE(j,q,theta)*MathieuCE(j,q,I*r)*cos(lambda*t)

j=0, 1, 2...n where q is a 'zero' value of MathieuCE(j,q,I*1) 0<theta<2*Pi, 0<r<1, t>=0

the error stated is "Plotting error, MESH must be a list of lists of vertices, or an hfarray"

## Splitting a polynomial into even and odd terms...

I would like to split a polynomial into even and odd terms. Has this capability been provided in a package? PolynomialTools seems the obvious choice, but doesn't do this. Here's one approach
```SplitPolynomialEvenOdd := proc(poly::polynom(anything,v), v)
description "return the even and odd parts of a polynomial in v";
local p;
p := collect(poly,v);
if p::`+` then
return selectremove(t -> degree(t,v)::even, p);
elif degree(p,v)::even then
return (p,0);
else
return (0,p);
end if;
end proc:

SplitPolynomialEvenOdd(x^2 + 3*x + 1, x);
```

## maple programming...

i want to know that is ther any procedure or builtin functin which return the exponent of a variable.For example if i have a variabl x^2 result will be 2.and also i want to know the procedure by which if i have two lists of variables we can compare there type of variables and cobine the coefficients of same variables.For example >s:=[v1,2*x^2*y,v2,1*x*y^2,v0,3*x^3]; >p:=[a*x^3,b*x*y^2,c*x^2*y]; i want to get result v1,2+c ,v2,1+b, v0,3+a how can i get this result any body help me

## How do I solve a system of matrix equations withou...

I have a system of matrix equations and would like to solve it for a certain vector, but without stating anything else but the names of the matrices and vectors involved. This is to be used for further studies in a numerical matlab model where the matrices and vectors are specified. Example: Let A, B and C be regular matrices where: A*B=C Solving for B we get: B=inv(A)*C How can I make maple do this for me without specifying the elements in A, B, and C.

## Primitive Polynomials In GF(2^n)...

I Need to Generate Primitive and Irreducible Polynomials in Galois Extension Field GF(2^32). How do I do it? Any Pointers to any code / theory is welcome. Thanks