- #1
muppet
- 602
- 1
Hi all,
I have some integrals involving Heaviside theta functions of non-trivial arguments, in particular \theta(1-x^2) and \theta(x^2-1). As x is a radial coordinate it's easy enough for me to break these up by hand, but it's cumbersome for me to implement in Mathematica and I can't work out how I'd go about attacking a more general problem. Is there an expression for \theta(f(x)) analagous to \delta(f(x))=\sum_i{\frac{\delta(x-x_i)}{|g'(x_i)|}}?
Thanks in advance.
I have some integrals involving Heaviside theta functions of non-trivial arguments, in particular \theta(1-x^2) and \theta(x^2-1). As x is a radial coordinate it's easy enough for me to break these up by hand, but it's cumbersome for me to implement in Mathematica and I can't work out how I'd go about attacking a more general problem. Is there an expression for \theta(f(x)) analagous to \delta(f(x))=\sum_i{\frac{\delta(x-x_i)}{|g'(x_i)|}}?
Thanks in advance.
