#11990: infinite sums that are infinite produce errors
------------------------+---------------------------------------------------
Reporter: dkrenn | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-4.8
Component: calculus | Keywords: infinite sums, infinite, maxima
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Look at the following code:
{{{
sage: m = var('m')
sage: sum(m, m, 0, oo)
Traceback (most recent call last):
...
ValueError: Computation failed since Maxima requested additional
constraints; using the 'assume' command before summation *may* help
(example of legal syntax is 'assume(m>0)', see `assume?` for more
details)
Is m positive or zero?
}}}
But inside the sum, it should be clear what `m` is. Using one of or both
of the commands
{{{
sage: assume(m>=0)
sage: assume(m, 'integer')
}}}
does not change the result. Execution of
{{{
sage: maxima.sum(m, m, 0, oo)
}}}
results in the same (except that a `TypeError` is thrown).
A different behaviour brings the following example
{{{
sage: m = var('m')
sage: sum(2^m, m, 0, oo)
Traceback (most recent call last):
...
ValueError: Sum is divergent.
}}}
Whereas
{{{
sage: maxima.sum(2^m, m, 0, oo)
inf
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11990>
Sage <http://www.sagemath.org>
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