#1956: implement multivariate truncated power series arithmetic
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Reporter: was | Owner: pernici
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6.2
Component: commutative algebra | Keywords: multivariate power
series
Author: Niles Johnson | Upstream: N/A
Reviewer: Martin Albrecht, Simon King | Merged:
Work_issues: |
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Comment(by pernici):
niles wrote:
> So I think total-degree precision should be the the default, until
someone writes code to carefully handle the other possibilities (or to
call gp -- see the next point).
Maybe total-degree precision is a better default anyway, even if there
were available an excellent multi-series (I mean series of series ... N
times, I do not know the standard name for these _really_ multivariate
series) implementation; I have the impression that few times multi-series
are used, and that univariate series (which total-degree precision
multivariate series really is) or at most bivariate series are used
frequently in practice.
> Yes, a more complete interface with gp is probably the right way to go.
However I think PowerSeriesRing?, and its elements, should be native Sage
objects -- this is not the case with gp series, which makes them
unsuitable for the default power series.
Right.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/1956#comment:91>
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