Hi Nathann,
It would be cool to gather the answers to your thread on the wiki...
> In your past experiences (possibly when using Sage to teach in a
> classroom), in which areas do you think we are behind users' expectations ?
It was in classroom but more for PhD students/researcher. Very far
behind expectations were:
- Generating functions. Start from an equation like
f(t) = sin(t) f'(t) + 1
and then get information about f (behavior at infinity ? where are
the poles in the complex plane ? what are the coefficients of the
serie expansion ? what is there growth rate ?). There is a well known
maple package for that called gfun which is very powerful.
- More generally, symbolic computations beyond plotting cos(x) is very limited.
- Comparison of algebraic numbers. It is currently not possible to
compare two real roots of polynomials (i.e. which one is greater than
the other). Hopefully, I will work on this in january at the pari
workshop ;-)
Vincent
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