Thanks, right, I forgot the meaning of "int" in latte_int, sorry.
Indeed, this looks like one can actually do better than Mathematica, if
latte_int is installed.


On Mon, Sep 14, 2020 at 2:23 AM slelievre <samuel.lelie...@gmail.com> wrote:

>
>
> Le dimanche 13 septembre 2020 12:30:09 UTC+2, Dima Pasechnik a écrit :
>>
>>
>>
>> On Sun, Sep 6, 2020 at 10:03 AM Teodoro Coluccio <teodoro...@gmail.com>
>> wrote:
>>
>>> Can I perform triple integrals in a region of space I define? I'm trying
>>> to migrate from mathematica to sage, and in mathematica I could go and
>>> define a region of space (with various limitations) and then perform the
>>> integral of a function on it.
>>
>>
>> in general, there are no exact algorithms known for such a task.
>> Mathematica does implement some heuristics, it's not clear which ones.
>> In your example you're integrating a polynomial over a polytope, for this
>> case it's known how to do this exactly:
>> triangulate the region into simplices, then use an explicit formula for
>> each simplex. Perhaps that's
>> what Mathematica doing, they don't tell us.
>> https://arxiv.org/abs/0809.2083
>> Not implemented in Sage, but it would be a nice addition.
>>
>>
>>> Here is an explanatory image:
>>> [image: screen.png]
>>> Is there a way to easily perform this operation even in sage?
>>>
>>>
>>>
> Note: also asked on Ask Sage:
>
> - Triple integrals in a specific region of space
>   https://ask.sagemath.org/question/53419
>
> I posted an answer there.
>
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