but I can't help you on this specific point.

I guess that one must compile separately procedures X, Y and Z and declare them as external when compiling the second system.
But it is just a guess as I'm not familiar with this.

@janhardo 

Sure, I tried this, but I was using Safari and, for some reason, zooming made the text more fuzzy.
Meanwhile I changed to Firefox and there is no more problem.
Sorry for the inconvenience

@salim-barzani 

I'm sorry but the font is too small and the text too fuzzy for me to see clearly what it's written.
Is the Sawaqa-Kotera equation this one:

SK := diff(u, t) + 45*u^2*diff(u, x) - 15*diff(u, x)*diff(u, x$2) - 15*u*diff(u, x$3) + diff(u, x$5) = 0

Could you sent me something more readable?

Meanwhile here is the KdV equation with arbitrary alpha: 

Download Hirota_derivative_KdV_equation_2.mw

Download Hirota_derivative_KdV_equation.mw

@emrantohidikub 

... but I can't guarantee that I'll be capable to answer your questions, or even that I'll have the time to do it if it requires a lot of work.

Not accounting for the rotational kinetic energy and assuming the ball has allway a single contact point with the surface is a huge approximation. Even in the absence of gravity (let's say the ball has an internal engine), a single contact requires that the curvature radius of the surface is everywhere larger than the radius of the ball.
More og that the displacement of the ball may exhibt pure rolling, pure sliding, or a a mix of these twos depending of the value of the contat force.

I aggree with Rouben saying it is quite a challenge to account for all these points in the most general way (even if there are probably a lot of papers online about this subject).

For information @C_R  already did something close with MapleSim, see here

@acer 

I asked years ago a question about the old fashion way Maple used to represent lengthy expression (using things like %1, %2, ... in the global expression and adding lines to the output of the form %1=something, %2=something-else, ...).
I couldn't find the answer I received but this could lead to something more readable here.

didn't you just do what I suggested you HERE

MatlabFile := cat(currentdir(), "/STX.txt"):   # change the path and name as you want
ExportMatrix(MatlabFile, STX, target=MATLAB, format=rectangular, mode=ascii, format=entries);

The end of your code is

cat(currentdir()); # Which is a directory NOT a file
                    "C:\Program Files\Maple 2024"

# Below matlabData should be the name of a file: as its not you get an error
# The warning message results from STX being a matrix of complex.

ExportMatrix(matlabData, STX, target = MATLAB, format = rectangular, mode = ascii);

Warning, Matlab may not know how to read complex values stored in 'rectangular' format; try 'entries' format if problems arise
Error, (in ExportMatrix) permission denied

#  matlabData is unassigned
matlabData;
                 matlabData;

Begin to assign matlabData to a file with a legit absolute path.
Next use format=entries as I already told you (if you don't understand why read carefully the ExportMatrix help page): this will suppress the warning.

I advice you to read the help pages about cat and currentdir() too.

PS: Don't be surprised if a moderator deletes this question, which obviously duplicates the one I've already answered.

@salim-barzani 

Look at he ExportMatrix help page, items MATLAB® Binary Format or MATLAB® ASCII Format.
As you want to export a matrix of complex search (CTRL+F) for the word entries.

Here is an ASCII example

MatlabFile := cat(currentdir(), "/STX.txt"):   # change the path and name as you want
ExportMatrix(MatlabFile, STX, target=MATLAB, format=rectangular, mode=ascii, format=entries);

As I don't have Matlab at home I can't check it can read and plot the exported matrix correctly.


In case you want avoid using the Finance package, here is a Wiener process generator

 

Download WienerProcessesGenerator.mw

@salim-barzani 

Is this what you want (left = Re, right = Im)
graph-stochastic_mmcdara.mw
 

@dharr 

Thanks for your explanation.
See you next time.

By the way: congratulations, you've passed me :-)

@Ronan 

The denomintor then is 100*n^(33/20).

Download smart_display.mw

Is located in your own directories.
Please upload the file or provide us some link we can acccess.

Alread: writting this in your procedure SSE is illegal

.
.
.
local solution := dsolve({ode1,ode2,S(0) = S0,T(0) = i0},parameters=[beta,Gamma,S0,i0],[S(t),T(t)],numeric);
solution(parameters = [b,g,x,y]);
local difference := add((rhs(solution(k)[3])-sum_total[k])^2,k=1..N);
return difference;
end proc:

A correct syntaxt is

.
.
.
local solution := dsolve({ode1,ode2,S(0) = S0,T(0) = i0},parameters=[beta,Gamma,S0,i0],[S(t),T(t)],numeric);
solution(parameters = [b,g,x,y]);
add((rhs(solution(k)[3])-sum_total[k])^2,k=1..N);
end proc:

Last but not least: if you expect finding 4 parameters such that the brown curve is close to the empirical data, this is a dead end: don't need to be a great scientist to understand why.

@Carl Love  @dharr @acer

Thanks you all for your involvement.
I particularly appreciated Carl's explanations and embedded comments by Dharr (I missed the usedpts=1044 for method=_MonteCarlo).

There are stlll a few messages that bother me.

For instance method=_CubaSuave returns 
cuba: chi-square probability that the error is not reliable: 1... which means that there are 100% of chances that the error (cuba: estimated (absolute) error: 6.73167e-05) ! Are you sure the first message is correct?

All the more that method=_CubaVegas gives
cuba: estimated (absolute) error: 6.58857e-05
cuba: chi-square probability that the error is not reliable: 0.0023283
and that CubaSuave is aimed to be an improvement of CubaVegas (see  Hahn for instance)

By the way, as CubaVegas uses a Quasi Random Numbers Generator [QRNG] (the Sobol' one, see previous ref) don't you think it would have been a good idea for the core development team to also offer this quasi-random number generator (see NAG library QMC) ?

(For the record there exist several QRNG and I implemented Faure's in Maple a few years ago. But I believe fast built-in functions for QRNG would be welcome.)