#20812: derivative of integer wrt to variable in polynomial ring should belong
to
that ring, not symbolic ring
---------------------------+----------------------------
Reporter: dgulotta | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-7.3
Component: calculus | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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If I try to take the derivative of an integer (or nonzero rational, or
integer mod n), then the result is an element of the symbolic ring:
{{{
sage: R.<x>=ZZ[]
sage: derivative(0,x).parent()
Symbolic Ring
}}}
It seems like it would be more natural for the returned value to belong to
the ring containing x instead.
This may seem kind of pedantic, but it did trip me up when I was working
with a list of polynomials, some of which were constant, and things were
getting cast to Expression unexpectedly.
I am not particularly familiar with the Sage codebase, but I am attaching
a patch that seems to fix the issue.
--
Ticket URL: <http://trac.sagemath.org/ticket/20812>
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