In defining a polynomial ring, is there any way to assign varying degrees to the variables?
For example I want to define the polynomial ring Q[x, y, z] but I want x to be of degree 1, y to be degree 2, and z to be degree 3. I am looking for a way to do this in general not just for a small number of variables.
You can use "weights":
sage: P.<x,y,z> = PolynomialRing(QQ, 3, order=TermOrder('wdeglex',(1,2,3)))
sage: x.degree()
1
sage: z.degree()
3
I think this is not documented very well, or at least I didn't discover it easily. See http://doc.sagemath.org/html/en/refer... and http://doc.sagemath.org/html/en/refer....
Was there something else you intended to include or was that third and a mistake?
A mistake. I was going to give the links in the other order and then decided that I preferred this order instead.
Asked: 2019-07-29 07:07:55 +0200
Seen: 333 times
Last updated: Jul 30 '19
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
