On Tue, Oct 1, 2024 at 12:22 PM Dima Pasechnik <dimp...@gmail.com> wrote:
>
> On Tue, Oct 1, 2024 at 11:46 AM Dima Pasechnik <dimp...@gmail.com> wrote:
> >
> > This is a usual discrepancy between the univariate and multi-variable
> > case: the backends are different, and probably the functionality
> > is not implemented in the univariate backend (Flint?).
> > I gather it can be implemented using a resultant computation.
>
> Basically, if f(t) and g(t) are two univariate polynomials, then
> P(x,y):=Res_t(f(t)-x, g(t)-y)) is
> a relation between f and g,as P(f(t),g(t))=0, and P(x,y) is identically 0.
Sorry for typo - of course it should say "P(x,y) is not identically 0"
>
> >
> > Dima
> >
> >
> > On Tue, Oct 1, 2024 at 9:30 AM Georgi Guninski <ggunin...@gmail.com> wrote:
> > >
> > > sage: Kx.<x,y>=QQ[]
> > > sage: l=[x,x^2]
> > > sage: ge=Sequence(l).algebraic_dependence().gens();ge
> > > [-T1 + T0^2]
> > >
> > > sage: Kx.<x>=QQ[]
> > > sage: l=[x,x^2]
> > > sage: ge=Sequence(l).algebraic_dependence().gens();ge
> > > AttributeError: 'Sequence_generic' object has no attribute
> > >
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