XP home SP2:

Systemsteuerung/Regions- und Sprachoptionen

Auswahl: Englisch(USA)

Dann auf Beispiel "Zahl" schauen und falls es da nicht in Ordnung ist mit dem Button 'Anpassen' nachjustieren ...

Der Sprachen-Murks zieht sich aber durch alles, zB wenn man Excel und Maple verheiraten will.
Die Schnarcher haben einfach die Separatoren vergessen in Windows und ignorieren das seit
allen Updates ...

no, not directly - as far as I understand your question it is about time series models, Maple does not provide those

so you have to formulate them on your own explicitely and try to beat them in a form that Maple understands, which may be cumbersome ...

Have not checked it (because it is a bit cumbersome to clean up the PO's input) and not worked with LinearAlgebra for a while, but it provides the tools to find a basis for the solution space (which is 1 dimensional here if rank = 16 - 1), no?

  restart;

# I prefer the unevaluated form for integration
  proj := (a,b) -> 
    (Int(Int(evalc(a*conjugate(b)), x = 0 .. 2*Pi), t = 0 .. 2*Pi)) /
    (Int(Int(evalc(b*conjugate(b)), x = 0 .. 2*Pi), t = 0 .. 2*Pi));

# and use assumtions only if needed
  myAssumptions:=(k::integer, omega::integer);

# now your expression
  B(T)*exp(I*(k*x-omega*t))+conjugate(B(T))/exp(I*(k*x-omega*t));
  eta := unapply(%, x, t, T);

  proj(eta(x, t, T), exp(I*(k*x-omega*t))):
  value(%) assuming myAssumptions;
                                 B(T)


  proj(B(T)*exp(I*(k*x-omega*t)), exp(I*(k*x-omega*t))):
  value(%) assuming myAssumptions;
                                 B(T)

  proj(conjugate(B(T))/exp(I*(k*x-omega*t)), exp(I*(k*x-omega*t))):
  value(%) assuming myAssumptions;
                                  0

For using 'evalc' consult the help pages, without additional input it treats
every variable as a Real: "The fundamental assumption that evalc makes is that
unknown variables represent real-valued quantities. ... The assume command can
be used to override these default assumptions."

Have not tried that for your style (i.e. lower case for integration and global assumptions).

and more you find through Google searching for "logistic map" and Maple :-)

http://www.maplesoft.com/applications/app_center_view.aspx?AID=71

http://www-users.mat.uni.torun.pl/~philip/Maple_fractals/

http://www.teorfys.uu.se/people/antti/teaching.html

I think it is because rsolve is called very often, while I do not see that Maple actually solves it
(and I have not looked up polynomial recursions)

But then it may be better to use recursive calls with 'option remember'.

Edited: may be you can translate code to be found at en.wikipedia.org/wiki/Logistic_map and links therein

While I would write that at least using 'Int' instead of 'int'
the problem seems to be the following:

restart; K:=(exp((x-t)*I)+1/exp((x-t)*I))/exp((x-t)*I);

Then  Int(K,x = 0 .. 2*Pi); simplify(%); value(%);  gives 2*Pi
while Int(K,x = 0 .. 2*Pi); value(%);               gives 0.

Playing with the indefinite integral gives an antiderivative,
for which the real part is not continous. May be that is the
reason for the error (using Maple 12).

it depends what the other system(s) accept for input and output (easiest would be files, but you need precisely the formats, even for the floating point numbers)

may be the handbooks or web pages can tell you - http://solidworks.cad.de/ ?

Do not know whether others find time to check your code, but if you are just in search of some good and already working sheets then you can try the solution given by Moiseev at the application center

www.maplesoft.com/applications/app_center_view.aspx

here is some sketchy sheet for the transforms in Abramowitz & Stegun (which I occassionally use) without caring for the exceptional cases of parameters and without caring for other special cases

Download 102_A&S_2F1_transforms.mws
View file details

BTW: your style of replying Robert Israel is a bit strange, at least for my taste.

for example x_Mod = ( x + epsilon )^2, epsilon a small constant ... or use exp ... or similar

If you have a regular licence the your distributor certainly can answer to your problem with the notebook (if you provide the technical details)

for me it works in both interfaces - may be you have something in your ini file?

Sum((5/2+2310*n^5+5775*n^4+5019*n^3+(3507/2)*n^2+(409/2)*n)/(27720*n^7+97020*n^6+132300*n^5+88200*n^4+29400*n^3+4410*n^2+210*n), n = 1 .. n);
 value(%);
 factor(%);
 combine(%); simplify(%, size);# allvalues(%);
 #expand(%);
 factor(%);

isnt there something from Bailey, Borwein & Plouffe?