On Tue, Jun 3, 2008 at 3:09 AM, Gary Furnish <[EMAIL PROTECTED]> wrote:
<snip>

> Your going to have a hard time convincing me that the default behavior
> in Mathematica and Maple is wrong.  This makes sense for number theory
> but not for people using calculus.


Hmm, I must say from using maple on expressions like this, I found the
answers that it gave were completely pointless at times, and I was forced to
run expand and simplify many times, and use many tricks to get the answer in
the most simplified form. At times, the easiest way was to evaluate the
expressions, and then use LLL to get the expression back. Admittedly I am a
number theorist, although at the time when I was using maple extensively, I
was still in undergrad. When I started using MAGMA, the learning curve
seemed considerably higher, but completely worth the trouble for algebraic
expressions. The current proposal by Robert seems to be the best of both
world for my taste. (And I agree with him that a lot of it is a matter of
taste.)

As an aside, one of my gripes teaching calculus is that the students don't
simplify expressions like sqrt(2)sqrt(3) or 1/(1+i), and I would prefer if
SAGE doesn't contribute to such atrocity. :)

Soroosh

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