> Hi William,
>
> I used the groebner_basis() function of SAGE to solve for a system of
> nonlinear equations. My result is of the form:
>
> c1 + c2*y + c3*x*y^2
>
> I would like to substitute a value in for y and then solve for x but
> can't figure out how to get SAGE to do this. Do you have an example
> you could email me? Thank you.
Here is an example:
sage: P.<x,y> = PolynomialRing(QQ,2)
sage: f = 1 + 2*y + 3*x*y^2
sage: g = f.subs(y=2); g # or f.subs({y:2})
12*x + 5
sage: g.univariate_polynomial().roots()
[(-5/12, 1)]
Best,
Martin
--
name: Martin Albrecht
_pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99
_www: http://www.informatik.uni-bremen.de/~malb
_jab: [EMAIL PROTECTED]
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