Newbie for that math subject...but...
- there is one SAGE trac about Macaulay resultant:
http://trac.sagemath.org/ticket/15382 ( SageDays 55?)
- from Wikipedia I just got that Macaulay resultant is working for*
homogenoeus* polynomials in n-variables
- you can easily transform two bivariates
Thank you.
On 26 January 2011 18:20, John Cremona wrote:
>
>
> On Jan 26, 8:09 am, Santanu Sarkar
> wrote:
>> I have two polynomials F(x,y,z) and G(x,y,z) over integer. From F, G I want
>> to eliminate z by resultant method. How can I do this?
>
> From the documentation:
>
> EXAMPLES:
>
>
On Jan 26, 8:09 am, Santanu Sarkar
wrote:
> I have two polynomials F(x,y,z) and G(x,y,z) over integer. From F, G I want
> to eliminate z by resultant method. How can I do this?
>From the documentation:
EXAMPLES:
sage: P. = PolynomialRing(QQ,2)
sage: a = x+y
Hi Michael,
On Feb 1, 2:37 am, Michael Beeson wrote:
> I let Mathematica run a similar problem for 36 hours with no reply;
> but I don't understand why it's too difficult.
Indeed, not easy.
By the way, in your first example, you defined
sage: R. = QQ[]
sage: a = z^2 - z^-2
sage: f = z^2 *(p-a)
Oh, gcd is the multivariate gcd, not the gcd as a polynomial in z.
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But look at this:
sage: F.gcd(G)
z^2 + 1
Reply comes back instantly. This is really strange as it should have
to
perform more or less the same computation for the gcd as for the
resultant, shouldn't it? And I would have expected the gcd to
involve all those
parameters, or at least some of the
So taking your suggestion to use a quadratic number field, I get rid
of syntax errors at last. But I guess the problem is too difficult
as no answer comes back in a few minutes.
I let Mathematica run a similar problem for 36 hours with no reply;
but I don't understand why it's too difficult. Se
"i" is sqrt(-1), which sage seems usually to realize without being
told.
Anyway there is no "i" in my first post on the resultant, and also
I get the same error with "CC" in place of "QQ".
On Jan 31, 3:38 pm, William Stein wrote:
> 2010/1/31 Michael Beeson :
>
> > another failed attempt to comp
