Hello, I'm looking at convolution products of Lebesgue integrable functions, and to get a better visualization, I want to compute some convolutions of indicator functions.
So, want to have a function f:R->R defined by f(x)=1 when x \in [0,1], f(x)=0 when x \notin [0,1], and, I need the function to have the attribute integral(). I've tried two things (working through a notebook): (1) <code> f1(x) = 1 f2(x) = 0 f = Piecewise([[(-oo,0),f2],[[0,1],f1],[(1,oo),f2]]) </code> But, then the result has f(0)=1/2. (2) <code> g = lambda x: x >= 0 and 1 or 0 h = lambda x: x <= 1 and 1 or 0 k(x)=g(x)*h(x) </code> But, k is not defined correctly. I don't know how to combine g and h. Ultimately, I want to be able to integrate, so I don't know if either of these is even in the right direction. Thanks for any help. -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
