Hi, English is not my mother language, so I am trying to make myself clear. And sorry for my grammer mistakes.
I am new to sage and trying to do convolution:f(x) * g(x)?
f(x) = 2, -2 < x < 2; f(x) = 0, x < -2 or x > 2
g(x) = 3/4, 0 < x < 2; g(x) = 0, x < 0 or x > 2
I use the following code to do the job:
x = PolynomialRing(QQ,'x').gen()
f = Piecewise([[(-2, 2), 2 * x^0]])
show(f)
g = Piecewise([[(0, 2), 3/4 * x^0]])
show(g)
m = g.convolution(f)
show(m)
I think I am sure the result should be:
3/2 * x + 3, -2 < x < 0;
3, 0 < x < 2
-3/2 * x + 6, 2 < x < 4
0, x < -2 or x > 4
but it comes out that when 0 < x < 2, the result is 6, which should be 3. There must be something wrong, but I can not figure out. So I am here to ask for help.
Thank you.
