Re: A question about Axiom capabilities, Fwd: [fricas-devel] Abstract Vector Algebra
Ralf Hemmecke <[email protected]> Sat, 30 Mar 2013 13:01:47 +0100
| Newsgroups | gmane.comp.mathematics.axiom.user |
|---|---|
| Message-ID | <[email protected]> |
> It would be really nice if one could write an equation solver for a > given algebra, I have often wanted to do that and I wonder if there is > any general advise on this topic for Axiom? Well, would be nice, but think about the following. An algebra, which is a field. Depending on which equations you want to solve, there is need for completely different algorithms. Solve (ax+by=c,dx+ey=f) for x and y or ax^2+bx+c=0 for x. Add a new operation (diferentiation) making the algebra into a differential field, there are even more ways to come up with equations. Unless you specify what solver you intend to write, it's probably an unsolvable task to write a general solver that works for all types of algebras. Ralf