Oops, sorry. Apparently I haven't been updating my branch properly.
On Monday, May 27, 2013 10:53:22 AM UTC-7, Aaron Meurer wrote:
>
> What is a good example of a (preferably simple) integral that SymPy
> will not likely be able to ever do, because there really aren't any
> closed forms of it,
> Maybe someone could try it in Axiom
This is from Fricas compiled today:
(1) -> integrate(x^x, x)
x
++%A
(1) | %A d%A
++
Type: Union(Expression(Integer),...)
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That was before the fix from this issue:
https://code.google.com/p/sympy/issues/detail?id=3761, which was a
wrong result. So very likely that answer is wrong.
Aaron Meurer
On Mon, May 27, 2013 at 1:45 PM, Rathmann wrote:
> But Sympy returns a result for x**x as well. It is just not in terms tha
> I don't get that from master.
It is wrong, check for example the first branch of Piecewise:
In [210]: Piecewise((x*x**x*gamma(x + 1)/gamma(x + 2), Abs(x) < 1),
(x*x**x*gamma(x +
1)/gamma(x + 2) + gamma(x + 1)/gamma(x + 2) + gamma(-x - 1)/gamma(-x),
Abs(1/x) < 1), (meijerg(((1,), (x + 2,)), (
But Sympy returns a result for x**x as well. It is just not in terms that
most will find easy to understand:
>>> integrate(x**x)
Piecewise((x*x**x*gamma(x + 1)/gamma(x + 2), Abs(x) < 1), (x*x**x*gamma(x +
1)/gamma(x + 2) + gamma(x + 1)/gamma(x + 2) + gamma(-x - 1)/gamma(-x),
Abs(1/x) < 1), (me
That's a good idea. WolframAlpha doesn't return a solution. Maybe
someone could try it in Axiom and elsewhere (what other system besides
Mathematica is good with special functions?).
Aaron Meurer
On Mon, May 27, 2013 at 1:38 PM, Chris Smith wrote:
> How about x**x?
>
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I don't get that from master.
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I don't think anybody will have this one as it is of little use according
to http://www.sciforums.com/showthread.php?76644-Integrate-X-X
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"Closed-form" for me means "SymPy returns an answer." "simple" for me
means "not too complicated, and preferably not using any special
functions."
I just want something like
"If integrate() cannot compute the integral, it returns an unevaluated
Integral() object
"
for the new tutorial, but with
How about x**x?
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Visit t
How do you want to define closed form?
If you allow Meijer G-functions, isn't pretty much anything integable?
There are lots of examples expression without elementary antiderivatives:
sin(x)/x , e**(-x**2), etc., but Sympy gives answers for these, of course.
On Monday, May 27, 2013 10:53:22 A
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