On 11/11/2014 10:54 PM, Waldek Hebisch wrote:
>> It wouldn't probably cover all possible term orders, but certainly 
>> all the ones that SMTS covers now.
> 
> You overestimate generality of SMTS: AFAICS currently SMTS assumes 
> that variables have degree 1, so you effectively get total degree + 
> order from polynomial domain within given total degree.

I wanted to quickly convince myself that this is not true, but failed to
create an appropriate polynomial domain Q[x,y] where x would have degree
1 and y degree 2.

However, maybe I'm wrong, but I don't really see where SMTS relies on
the variables having degree 1.

Maybe here:

https://github.com/fricas/fricas/blob/master/src/algebra//mts.spad#L127

    monomial(r : %, v : Var, n : NNI) ==
      r * monom(monomial(1, v, n)$SMP, n)$STT

n is used for creating the exponent of the monomial and also to give the
place in the stream.

> 'addiag' has one drawback that it effectively forces specific
> convergence rate.

What exactly do you mean by that? Aren't we dealing with *formal* power
series?

Ralf

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