2007/10/16, Steffen <[EMAIL PROTECTED]>:
> Hi didier,
>
> the implementation does not return a polynomial of a total degree of
> at most 4, but a polynomial of total degree of at most 4/2 = 2 in x
> and in y. If I change the total degree to 5, nothing happens, since
> 5/2 = 2. This might be a bug in the implementation. However I am happy
> with this behaviour and maybe there should be the option for choosing
> the total degree or the degree in every variable.

For total degree, I'm using the definition here:
http://planetmath.org/encyclopedia/OrderAndDegreeOfPolynomial.html

So I am not concerned about individual degrees at all.

> Furthermore I am not happy with this implementation in general. In
> step 1.) you do not care about repetitions. This sounds reasonible
> since repetitions are part of randomness. Later in step 3) you do care
> about repetetions and summarise them under the value 0. If the value 0

I don't explicitly discard repetitions in 3), the dictionary object
takes care of that by discarding repeated keys (in this case, the keys
are the degree tuples).

didier

> gains the same importance as all other values in the corresponding set
> of values, than the  multiple occurance of 0 is a repetition, too.
>
> I am quite new in SAGE and have no idea how sage code looks like, but
> I will have a look and see if I can do some changes :-)
>
> Cheers, Steffen
>
>
>
>
> >
>

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