Hello,

I've been invited to give a little talk to some people about FOSS 
mathematical tools (mainly computer algebra systems like Axiom, Maxima, 
Sage), and numerical systems like Scilab, GNU Octave.  Of all the CAS's out 
there, Axiom is the only one (to my knowledge) which is still alive, so to 
speak, and which embodies strong typing.  Most CAS's, like Maple and 
Mathematica, I've seen described as "term rewriting" engines; and types 
don't enter into them.  What I'm looking for is an example of a fairly 
elementary problem (one that most mathematicians and university mathematics 
teachers could relate to) in which Axiom's type system provides the means 
for a simple and elegant solution, and which for less strongly typed 
systems would be difficult.

I did see something once, but naturally I've forgotten what it was, or 
where I saw it.

Anyway, if anybody has any ideas, do please let me know!

many thanks,
Alasdair

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