* Georgi Guninski gunin...@guninski.com [2012-09-19 07:34:46 +0300]:
According to wikipedia [1]
the multivariate resultant or Macaulay's resultant of n homogeneous
polynomials in n variables is a polynomial in their coefficients that
vanishes when they have a common non-zero solution
My
On Wednesday, September 19, 2012 6:34:52 AM UTC+2, Georgi Guninski wrote:
Hi,
I may be missing something, but the resultant = 1 confuses me.
According to wikipedia [1]
the multivariate resultant or Macaulay's resultant of n homogeneous
polynomials in n variables is a polynomial in
On Thursday, September 20, 2012 1:05:56 PM UTC+2, Georgi Guninski wrote:
pari disagrees with sage and maxima agrees with it.
which way is it?
maxima session:
(%i12) p1:(x2)*(x3-x4);p2:x2*(x3-2*x4);
(%i14) resultant(p1,p2,x1);
(%o14) 1
In this
On Thursday, 20 September 2012 19:05:56 UTC+8, Georgi Guninski wrote:
pari disagrees with sage and maxima agrees with it.
which way is it?
maxima session:
(%i12) p1:(x2)*(x3-x4);p2:x2*(x3-2*x4);
(%i14) resultant(p1,p2,x1);
(%o14) 1
(%i15)
Thanks all for the replies.
Pari devs acknowledged their bug and fixed it in trunk here:
http://pari.math.u-bordeaux.fr/archives/pari-dev-1209/msg00034.html
On Thu, Sep 20, 2012 at 09:45:14AM -0700, Dima Pasechnik wrote:
On Thursday, 20 September 2012 19:05:56 UTC+8, Georgi Guninski
Hi,
I'm not sure if I understand what is counterintuitive about the results.
* Georgi Guninski gunin...@guninski.com [2012-09-18 16:55:37 +0300]:
sage: K.x1,x2,x3=PolynomialRing(QQ)
sage: p1=(x2-1)*(x3+2)
sage: p2=(x2-1)*(x3+3)
sage: p1.resultant(p2)
1
This is the resultant of p1 and p2
