On Mar 2, 3:10 am, Robert Bradshaw <rober...@math.washington.edu>
wrote:
> On Feb 28, 2010, at 4:20 PM, slabbe wrote:
>
> > Hi Sage-devel,
>
> > I am currently experiencing some problems when comparing elements of a
> > QuadraticField. See below.
>
> > sage: Q.<sqrt3> = QuadraticField(3)
> > sage: 0 < sqrt3
> > False
> > sage: RR(sqrt3)
> > 1.73205080756888
>
> [...]
>
> > Is this known?
>
> Yes, cmp() for number field elements is arbitrary, as they don't have
> (canonical) real embeddings in general. There are a couple of tickets
> to address this.
But for the QuadraticField this is unique, if the embedding is
specified:
sage: QuadraticField?
....
Unless otherwise specified, it has an embedding into RR or CC
by sending
the generator to the positive root.
....
So if should be working, if the documentation does not lie....
Dima
>
> - Robert
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