Hi William,

Thanks for the clarification.  To start the discussion, let me ask if
there is a good place for learning about how Sage deals with
generators, the syntax X.<y>, and what classes to inherit to get this
functionality working in a class?

-Jon
 =)



On Aug 29, 2:16 am, William Stein <wst...@gmail.com> wrote:
> On Fri, Aug 28, 2009 at 11:12 PM, Jonathan Hanke <jonha...@gmail.com> wrote:
> > Hi,
>
> > I was wondering if there is (or is planned) support for natural
> > multivariate power series ring constructions (with say fixed precision for
> > each variable) similar to that of polynomal rings?  It would be nice to be
> > able to say something like
>
> > S = PowerSeriesRing(QQ, 'x,y', [15, 20])
> > or
> > S.<x,y> = PowerSeriesRing(QQ, [15, 20])
>
> > instead of
>
> > S1.<x> = PowerSeriesRing(QQ, 15)
> > S.<y> = PowerSeriesRing(S1, 20)
>
> > Thanks,
>
> Since mid-2005 I personally remember numerous discussions about adding
> multivariate power series rings to Sage.  Usually what happens is people
> talk about it a lot, decide it is an interesting/hard/whatever problem,
> decide to do something really general, and then in every case nothing
> whatever happens.   This is partly because so far when people have actual
> problems that are most naturally expressed using multivariate power series
> rings, they just do everything using multivariate polynomial rings instead
> of implementing multivariate power series.
>
> So, let the discussion I just predicted begin! I very much the pattern of
> "discussion followed by nothing" is finally broken this time.
>
>  -- William
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