#6465: [with patch, needs review] Derivative D acts wrongly on symbolic
integration
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Reporter: gmhossain | Owner:
Type: defect | Status: new
Priority: critical | Milestone:
Component: symbolics | Keywords:
Reviewer: | Author: Burcin Erocal, Golam Mortuza Hossain
Merged: |
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Changes (by newvalueoldvalue):
* author: => Burcin Erocal, Golam Mortuza Hossain
Old description:
> In new symbolics, derivative operator does not know
> how to act on symbolic integration.
>
> {{{
> sage: f(x) = function('f',x)
> sage: g = integrate(f(x),x)
> sage: g.diff(x)
> D[0](integrate)(f(x), x)*D[0](f)(x) + D[1](integrate)(f(x), x)
> }}}
New description:
In new symbolics, derivative operator does not know
how to act on symbolic integration.
{{{
sage: f(x) = function('f',x)
sage: g = integrate(f(x),x)
sage: g.diff(x)
D[0](integrate)(f(x), x)*D[0](f)(x) + D[1](integrate)(f(x), x)
}}}
'''Patches''':
* Both patches should be applied in order (spkg is already included in
sage-4.1.1).
Apart from solving this bug it introduces couple
of new features (by moving it into new symbolics' SFunction sub-class)
(1) Stricter syntax:
http://groups.google.com/group/sage-
devel/browse_thread/thread/3e98841311653d7a
(2) Numerical approximation using .n() method
(3) Updated "integrate?" docstring
(4) Graceful handling of situations where integration is specified w.r.t.
an expression
http://groups.google.com/group/sage-
devel/browse_thread/thread/cd9f91338635ada9
(4) Behind the scene it provides a framework to hook up easily new
integration algorithm written within sage.
--
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6465#comment:2>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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