Thank you Ralf, that is exactly what I was hoping for.  Oddly I did
"play" with the TaylorSeries domain even before the SparseMultivariant
... domain, using my local version of FriCAS instead of the wiki, but
I could not get either of these to work properly.  FriCAS reported
most functions as unimplemented so I thought maybe these domains where
somehow unfinished and incomplete. Perhaps there is something wrong
with my local version?  Or maybe it was because I was using
'TaylorSeries Integer' in a manner I thought analogous to 'Polynomial
Integer', but really what I needed was 'TaylorSeries Fraction
Integer'?  Was that what you mean by your comment about Fraction
Integer?  I am travelling right now, but when I get back I will try
this all again.

About the wiki:  Email notification would be nice but setting it up
would probably require that Waldek make some special arrangement with
his university network support people to allow mail forwarding from
the axiom-wiki virtual machine. In some universities this might
require some very convincing argument because of fears of possible
abuse.

I did not change the content of the wiki page that you authored, but
of course it is the nature of a wiki that one is expected to comment
on web pages and to feel free to modify, add material and improve
things the way one thinks best. A wiki is supposed to be
collaborative. There is no such thing as "ownership" of a page but of
course many people do often quite naturally feel most inclined only to
change those things which they have personally authored.  I hope you
do not feel like I did so inappropriately.

Bill.

On 23 August 2014 14:34, Ralf Hemmecke <[email protected]> wrote:
> Maybe it's better to rename my page to just "TaylorSeries".
>
> http://axiom-wiki.newsynthesis.org/SparseMultivariateTaylorSeries
>
> To simplify multivariate Taylor series, I was thinking about
> implementing a generic domain that works like "Polynomial(X)", i.e.
> multivariate power series in infinitely many variables.
>
> But as often is the case, the original AXIOM experts had already thought
> about this and implemented it. I've found "TaylorSeries".
>
> With that domain, Bill's example can nearly be entered as he started
> with. And remembering "TaylorSeries Fraction Integer", is something that
> one can probably ask a user to do.
>
> See at the end of the above URL.
>
> Ralf
>
> PS: Bill had modified the my page in the meantime. Unfortunately, I
> didn't get notified by email. I think that's a serious problem. Without
> being notified, I'm unable to help keeping the axiom-wiki at least
> somewhat in shape. Is there some mechanism to detect spambots?
>
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