On 3 Jun., 21:41, Ronan Lamy <ronan.l...@gmail.com> wrote:
> > Yeah, ZZ, QQ, etc. are all just about syntactic sugar that makes things
> > much shorter to type. You can do all of the stuff equivalently in much
> > longer forms.  And by the way, the ZZ[x] syntax just exists because
> > that's the mathematical notation (the square brackets).  The real
> > confusing thing is that ZZ(x) is not the field of rational functions in
> > x with integer coefficients (for that you need ZZ.frac_field(x)).
>
> A lot of time is wasted for the sake of a few keystrokes. To understand
> anything using "domains", you need to unpick all the levels of
> indirection (e.g. ZZ = ZZ_python = PythonIntegerRing which is a wrapper
> for PythonIntegerType = int) and understand of a lot of methods and
> syntactic shortcuts. It's much easier to understand 'isinstance(a,
> int_type)' than 'ZZ.of_type(a)', even if the latter is shorter.

Shouldn't 'ZZ.of_type(a)' rather be 'ZZ.contains(a)' or 'a in ZZ', for
the sake of consistency with mathematical notation?

Vinzent

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