Is it safe to say that
R = PolynomialRing(QQ, 'X,Y')
defines a ring over Q in two variables, in which
x,y = R.gens()
sets x & y to be the generators? If this is so, then what exactly is
the role of 'X,Y' ? Just to list the number of generators or what?
Could we just as well have said
R = PolynomialRing(QQ, 'A,B')
x,y = R.gens()
?
Thanks in advance!
John
On May 10, 2:22 pm, Sebastian Ramacher <s.ramac...@gmx.at> wrote:
> On 05/10/2011 07:59 PM, MathLynx wrote:
>
> > How do I detect the degree of a polynomial (say over Q) in one or
> > several variables?
>
> > x = var('x');
> > B = x^2;
> > B.deg()
>
> > gives an error. How about
>
> > x,y = var('x , y');
> > B = x^2 + y^3;
>
> > and we want degree of B with respect to x? (presuming wrt y is the
> > same)
>
> Are you looking for something like that?
>
> >>> R = PolynomialRing(QQ, 'X,Y')
> >>> x,y = R.gens()
> >>> (x**2).degree()
> 2
> >>> (x**2+y**3).degree(x)
>
> 2
>
> Kind regards,
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