#14334: integral of multivariate polynomial
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Reporter: chapoton | Owner: malb
Type: defect | Status: new
Priority: major | Milestone: sage-5.9
Component: commutative algebra | Keywords: integral of polynomials
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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So far (in sage 5.7), the integral of multivariable polynomial is not
clean, and belongs to the symbolic ring
{{{
sage: x,y = polygen(ZZ,['x','y'])
sage: (x*y).integral()
Traceback (most recent call last)
...
AttributeError:
'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular'
object has no attribute 'integral'
sage: integrate(x*y,x)
1/2*x^2*y
sage: integrate(x*y,x).parent()
Symbolic Ring
}}}
It would be much better to have a .integral attribute and to stay within
polynomial rings, like it happens with just one variable
{{{
sage: x = polygen(ZZ,'x')
sage: x.integral().parent()
Univariate Polynomial Ring in x over Rational Field
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14334>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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