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 > <javascript:>> 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. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/1304a60c-ea39-402a-a875-fed4437b5faao%40googlegroups.com.
