1 | initial version |
I would do as follows:
sage: r = p.derivative()*q - q*p.derivative()
sage: R_r = r.roots(RR)
This gives you the real roots of r
in the variable R_r
. Now to filter the roots that make sense to you, you need to compute the roots of p
and q
:
sage: R_p = p.roots(RR)
sage: R_q = q.roots(RR)
To find a
:
sage: a = max(max([x[0] for x in R_p]), max([x[0] for x in R_q]))
And finally, the roots you want:
sage: R = [x in R_r if x[0] > a]
2 | No.2 Revision |
I would do as follows:
sage: r = p.derivative()*q - q*p.derivative()
sage: R_r = r.roots(RR)
This gives you the real roots of r
in the variable R_r
. Now to filter the roots that make sense to you, you need to compute the roots of p
and q
:
sage: R_p = p.roots(RR)
sage: R_q = q.roots(RR)
In R_p
and R_q
, you have the real roots of p
and q
, given as pairs with the root and the multiplicity. To find a
:
sage: a = max(max([x[0] for x in R_p]), max([x[0] for x in R_q]))
R_p] + [x[0] for x in R_q])
And finally, the roots you want:
sage: R = [x in R_r if x[0] > a]