#1956: implement multivariate power series arithmetic
------------------------------------------------------------------------------+
Reporter: was |
Owner: malb
Type: enhancement |
Status: needs_review
Priority: major |
Milestone: sage-4.6
Component: commutative algebra |
Keywords: multivariate power series
Author: Niles Johnson |
Upstream: N/A
Reviewer: Martin Albrecht, Simon King |
Merged:
Work_issues: remove `MPowerSeriesRing`, implement through `PowerSeriesRing` |
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Changes (by niles):
* status: needs_work => needs_review
Old description:
> Multivariate power series arithmetic has been requested a *lot*.
>
> == Apply: ==
>
> 1. patch from #9443
> 1. [attachment:trac_1956_multi_power_series_new_4.patch]
New description:
Multivariate power series arithmetic has been requested a *lot*.
== Apply: ==
1. patch from #9443
1. [attachment:trac_1956_multi_power_series_new_4.patch]
1. [attachment:trac_1956_uni_multi_ps.patch]
--
Comment:
Ok, I've attached a new patch which carries out the plan above. After
running doctests, it seems that there is a non-trivial body of code
(elliptic curves, and maybe p-adics) that makes use of the syntax
{{{
T = PowerSeriesRing(QQ,'t',3)
}}}
or
{{{
T.<t> = PowerSeriesRing(QQ,3)
}}}
to construct univariate power series rings. I will mention this and a few
other things in a new ticket for merging univariate and multivariate power
series rings.
This new patch passes all doctests (with -long), and documentation builds
cleanly, looks good.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/1956#comment:39>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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