#11417: binomial of polynomial is not polynomial
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Reporter: Henryk.Trappmann | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.8
Component: basic arithmetic | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by scotts):
The attached patch changes functionality of the binomial function of a
polynomial to return a polynomial over a fraction field of the base ring.
With the patch, we get the following behaviour:
{{{
sage: P=PolynomialRing(RR,'z')
sage: z=P.gen()
sage: binomial(z,2)
0.500000000000000*z^2 - 0.500000000000000*z
sage: R.<x> = ZZ[]
sage: binomial(x,3)
1/6*x^3 - 1/2*x^2 + 1/3*x
binomial(x,3).parent()
Univariate Polynomial Ring in x over Rational Field
}}
Which is more like what we would expect.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11417#comment:2>
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