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export - How can I transfer mathematical expressions between Mathematica and Maple?


Is there a simple way to copy mathematical expressions between Mathematica and Maple (or at least in one direction)? I mean only expressions built from numbers and predefined mathematical functions, whithout any patterns or programmatical constructs like Function, Map or Nest.


Ideally, I want functions with different definitions to be automatically adjusted, for example the Mathematica expression EllipticF[Pi/6, 1/4] should be converted to the Maple expression EllipticF(1/2, 1/2).



Answer



I assume you have Maple to use. If so, Simply open Maple and type the Mathematica command itself directly into Maple using the FromMma package built-into Maple, like this:


restart; 
with(MmaTranslator); #load the package
(*[FromMma, FromMmaNotebook, Mma, MmaToMaple]*)


and now can use it


FromMma(`Integrate[Cos[x],x]`);

Mathematica graphics


One can also use Maple convert command with the FromMma option, like this:


convert(`Integrate[Cos[x],x]`, FromMma);

Mathematica graphics


For your example:


FromMma(`EllipticF[Pi/6, 1/4]`);


Mathematica graphics


You can also use a Mathematica computational expression, not just single commands, like this, and then use the resulting Maple command inside Maple:


r:=convert(`Table[i,{i,10}];`, FromMma);
(* r := [seq(i, i = 1 .. 10)] *)

Now run the result in Maple:


r;
(*[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]*)


see http://www.maplesoft.com/support/help/Maple/view.aspx?path=MmaTranslator for information on the MmaTranslator package.


For translating Maple back to Mathematica: The only program I know about that converts Maple to Mathematica is http://library.wolfram.com/infocenter/Conferences/5397



From Maple 9 Worksheets to Mathematica Notebooks



by Yves Papegay. However, I can't find the actual program or the software. You can try to contact the author on this. This was from The 2004 Wolfram Technology Conference.


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