On Thursday, June 2, 2016 at 8:11:26 AM UTC+3, Yiming Yang wrote:
>
>  Hello All,
>
>     My question may be naive, as I'm new to Sympy. I tried to find how 
> Sympy defines parametric polynomials, i.e. polynomials with indeterminate 
> coefficients (K[U][X] with coefficients in K[U]), but could not figure it 
> out. I checked those domains defined in sympy.polys.domains, and thought 
> "CompositeDomain" might help, but I was confused by its usage. Could anyone 
> give an example of it to me, if it is the correct class I'm looking for? 
> Thank you!
>
>
> Sincerely,
> Yiming Yang
>

A simple way of defining such a polynomial ring is the following.

 >>> U, X = symbols('U, X')
>>> R = ZZ[U][X]
>>> R.gens
(X,)
>>> R.domain
ZZ[U]


Other rings can be used instead of ZZ. 

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