Math Forum / Math Software / Maple / November 2008

I'm trying to simplify a function that includes Heaviside functions:
product and power of Heavisides, such as:
f(x)=(x^2+1)*Heaviside(x-(1/3)*L)+(x^2+x+1)*Heaviside(x-(1/3)*L)^2 +
(x-3)*Heaviside(x-(1/3)*L)*Heaviside(x-(1/2)*L)+...  , where  0<=x<=L.

I'm trying to solve a system of nonlinear polynomial equations using
PolynomialSystem({eqns},vars,{},infinity);
Despite the system has some simple solutions I obtain
Error, (in solve/RemoveSpec) numeric exception: division by zero

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I hope someone can help me figure out how to get Maple to do something
for me.
Say you have the expressions:

What are the simple syntactically correct math inputs that crash
MATLAB 2008b within a single minute, or even several seconds?
This in only one of many QA facets our VM machine solves quite
efficiently.

We'd like report to the technical computing community the second
case within a single week when the bug data are deleted from the
MathWorks site. The difference between the second and the first
cases are only the total existence time of the bug data at the

.........................................................
Enjoy a selected case from MATLAB 2008b defect data base.
.........................................................
Test Case  = int(1/(1+exp(z)), z, 0, inf)

a large argument approximation for
  res:=Re(subs(x=(1/2-1/2*I)*t,x/2*BesselJ(0,x)/BesselJ(1,x)))
is sought. Looking up in a textbook the large argument approximations of
the Bessel functions

MeijerG[{{1/2, 1, 1}, {}}, {{1/2, 1/2, 1}, {}}, I, 1/2]
                        ?
The generalized MeijerG definition is here
http://documents.wolfram.com/mathematica/functions/MeijerG

I've tried to compute things like curvature, torsion, tangent, etc. of a
curve in maple.
The solution often contains the function csgn, wich makes the solution term
very illegible. Simplify doesn't help.

I want to return a function as a result of a function/procedure, someway
like:
f:= a->(t->2at)
f(2) should return t->4t

How do I tell Maple that BesselJ(0,r) is real-valued when r>0?
Doing:
 Re(BesselJ(0,r)) assuming r>0;
does not work in Maple 11.  It returns the expression unevaluated.

Is there a possibility to run Maple  on Windows Vista?
The installer did the best, while I run it using compatibilty with
Windows XP.
After installation, the Maple 8 works until I try to open or save the

.........................................................
Enjoy a selected case from MATLAB 2008b defect data base.
.........................................................
Test Case  = int(log((1-exp(-z))/(1+exp(-z))), z, 0, inf)