Working with Maple toolbox for Matlab

Question

I have a big project in matlab that I've been writing for months. It includes a lot of code related to equations. The code worked with Matlab symbolic engine (or maybe it was Mupad I'm not sure). I wanted to switch to Maple symbolic engine so I downloaded Maple toolbox for Matlab. Now I can't run my code anymore since matlab doesn't recognize commands like 'vpasolve' (solve numeric equations), 'children' (finds subexpressions of a given expression), etc..

I'm looking for a long time for a tutorial that explains how to work with Maple toolbox for matlab that can expain in details what changes I need to make in my code to make it work. For example, I have no idea what to write instead of the 'children' command. I didn't find any tutorial. The best I've found so far is this link:

http://www-h.eng.cam.ac.uk/help/tpl/programs/Matlab/maplesymbolic.html

but It explains only a little and I still don't know what to do with many of the commands that I need to change (like 'children').

Can anyone suggest how I can change my code to make it work? or send me a link that explains that (if exists). I know a little Maple (mostly works with Matlab).

Thanks!

Answer 1

The closest Maple analog to Mupad's vpasolve seems to be fsolve.

The closest Maple analog to Mupad's children seems to be op . Note that it returns a sequence, but of course you can wrap the result in a list (square brackets) or a Vector or Matrix. It does not automatically map across Matrices and Vectors and lists.

Eg,

restart;

op( x^2 + x*y = y^2 + 1 );

                     2         2
                    x  + x y, y  + 1

M := Matrix( [ [ x + y, sin(x)*cos(y) ],
               [ x^3 - y^3, exp(x*y^2) ] ] );

                 [ x + y     sin(x) cos(y)]
            M := [                        ]
                 [ 3    3             2   ]
                 [x  - y       exp(x y )  ]

s := map(op, M);

               [  (x, y)       (sin(x), cos(y))]
          s := [                               ]
               [   3    3              2       ]
               [ (x , -y )          x y        ]

I got an overview of commands in the Mupad based symbolic toolbox for Matlab here.

Your question is more about programming than mathematics, and as such would be better suited to stackoverflow or Mapleprimes. The latter is a Maple user community and its members might be able to help with more complicated examples.

[edited followup to comment]

I am not aware of a URL that shows side-by-side comparison of commands in the Mupad versus Maple.

restart;

exp1:=Matrix([[a,b],[c,d]]):

exp2:=Matrix([[y,7],[-4,p]]):

zip( `=`, exp1, exp2 ); # returns a Matrix

                   [a = y     b = 7]
                   [               ]
                   [c = -4    d = p]

Equate( exp1, exp2 ); # returns a list

              [a = y, b = 7, c = -4, d = p]

Some commands and operators will not automatically map over Vector/Matrix/Array/list in Maple, but the commands map and zip can be used to get similar effects.