Hi Simon,

On Thu, Nov 26, 2009 at 01:16:09AM -0800, Simon King wrote:

> > On Nov 26, 2009, at 12:35 AM, Florent Hivert wrote:
> [...]
> > I think this makes perfect sense...I'm actually surprised it's not  
> > implemented that way already.
> 
> That's impossible.
> 
> The whole point of InfinitePolynomialRing is that you do *not* know in
> advance how many variables you will eventually need. Its main purpose
> is to compute Groebner bases of so-called Symmetric Ideals, and during
> such computation it may very well be that the number of variables
> increases during computation.
> 
> And then, as I mentioned in my previous post, there is the problem
> that in some cases you will use only very few variables, although the
> indices may be very large and, again, you don't know in advance *what*
> indices you will need. This is why there is a non-default sparse
> implementation.

I don't understand why what you say here is an answer to the following
sentence of mine:

Is there a problem in Symmetric Ideals if you have unused variables ? 

> > > Though this could be improved by using a similar trick than doubling the
> > > size of a list when appending element, I'm not sure that's what we want.
> >
> > I think this makes perfect sense...I'm actually surprised it's not  
> > implemented that way already.
> 
> That's impossible.
> 

Running to get my train...

Cheers,

Florent

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