On Apr 4, 2013, at 4:27 AM, Prasoon Shukla <prasoon92.i...@gmail.com> wrote:
I think I have a fair idea of what the class may behave like. Let's have a vector field like so (an example): *v*(x, y, z) = *f (x, y, z) **i *+ *g (x, y, z) **j *+ *h (x, y, z) **k* * * Just and example in rectangular coordinates using variables x, y and z. Now, we can have a class, say ParamSpace(). Let us define a spherical surface like so: *p = ParamRegion(x=5*sin(u)*cos(v), y=5*sin(u)*sin(v), z=5*cos(u), params=[u, v], bounds=[(u, 0, PI), (v, 0, 2*PI) ])* This object can then be passed to Vector.integrate() and can serve as the container for defining the region of integration. Obviously, one problem is how to implement multiple patches. I am still thinking on it. After this, the next step is the integration itself. This means I need to add functionality to the integration module so that it can handle multiple integrals too. (I couldn't find any such functions already existing in SymPy. Is there any implementation of it?). Do you mean integrate(f(x, y), (x, a, b), (y, c, d))? Aaron Meurer Another problem is with vector calc theorems. For example, if you have a contour for a line integral, what area do you choose for applying the Stokes theorem (as the area can be any that has the contour as its boundary)? Similarly for Gauss theorem too. I am still thinking in this direction. Will post here when something occurs to me. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out.
