#1956: implement multivariate power series arithmetic
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Reporter: was
| Owner: pernici
Type: enhancement
| Status: needs_review
Priority: major
| Milestone: sage-4.6.1
Component: commutative algebra
| Keywords: multivariate power series
Author: Niles Johnson
| Upstream: N/A
Reviewer: Martin Albrecht, Simon King
| Merged:
Work_issues: multivariate series on 1 generator should remain different from a
univariate series |
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Comment(by pernici):
In this ticket series with total degree truncation are considered.
How does the case of partial degree truncation work,
say with `p` a polynomial
{{{
f = p + O(x^prec_x,y^prec_y)
}}}
Can one define the partial degree truncation as the total degree
truncation with
`prec = prec1+prec2-1`, and if `f._bg_value` has valuation `0` truncate
`x^prec_x and y^prec_y` ?
With such a definition multiplication would work as in the total degree
case, with a truncation of the result, if needed.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/1956#comment:76>
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