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Re: Re: Types in Mathematica


I like this idea.

Does the mathematical/algebraic "programming" style scale up to large
problems?  Are there examples?

Or perhaps it doesn't strictly scale, but is better applied judiciously.
It could be used to steer a code at a very high level, or conversely,
used in the gaps (the Mathematica-in-the-gaps argument).  Conventional
programming would make up the difference.

If indeed mathematical programming is not the silver-bullet paradigm,
where should the conventional (though modern) programming be done?
Within or without Mathematica?  If within, then we've circled back to an
important point of this thread, I think.

Vince Virgilio

-----Original Message-----
From: Paul Abbott [mailto:paul at physics.uwa.edu.au] 
To: mathgroup at smc.vnet.net
Subject: [mg62699] [mg62636] Re: Types in Mathematica

In article <dm1ak3$i1n$1 at smc.vnet.net>,
 "Steven T. Hatton" <hattons at globalsymmetry.com> wrote:

> I will concede that experience in mathematics and physics can also 
> develop the kinds of thinking which programming experience can
develop.

Actually, much of the thinking involved in mathematics and physics
_transcends_ the kinds of thinking which programming experience can
develop. Extensive knowledge of mathematics and physics definitely
assists Mathematica programming, more so than in other languages because
of the high-level functionality. The "physics" or "mathematics" way of
thinking often assists implementations of algorithms in Mathematica. 
This is, I think, the key point of this thread.

Cheers,
Paul

_______________________________________________________________________
Paul Abbott                                      Phone:  61 8 6488 2734
School of Physics, M013                            Fax: +61 8 6488 1014
The University of Western Australia         (CRICOS Provider No 00126G)

AUSTRALIA                               http://physics.uwa.edu.au/~paul

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