If you have a collection of polyhedra, some of which happen to not be full dimensional, then it would be rather surprising if the volume of all of them is a positive number.
On Tuesday, December 4, 2018 at 8:47:20 AM UTC-5, Daniel Krenn wrote: > > For integrating a polynomial over a polyhedron LattE is used but if the > dimension is not full, then it is not implemented, see > > sage: x, y = polygens(QQ, 'x, y') > sage: P = Polyhedron(vertices=[[0,0],[1,1]]) > sage: P.integrate(x*y) # optional - latte_int > Traceback (most recent call last): > ... > NotImplementedError: The polytope must be full-dimensional. > > from > > > http://doc.sagemath.org/html/en/reference/discrete_geometry/sage/geometry/polyhedron/base.html#sage.geometry.polyhedron.base.Polyhedron_base.integrate > > > I wonder if there is a (simple) way to come around this? > > [I might not be that familiar with integration over polyhedra, but > shouldn't that basically be a somehow "nice" transformation where some > Jacobi-determinant comes into play? Or are there other > mathematical/technical difficulties that arise?] > > Best, Daniel > -- 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 post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
