Composition of a theta function with function

  • Thread starter muppet
  • Start date
Hi all,

I have some integrals involving Heaviside theta functions of non-trivial arguments, in particular [itex]\theta(1-x^2)[/itex] and [itex]\theta(x^2-1)[/itex]. 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 [itex]\theta(f(x))[/itex] analagous to [tex]\delta(f(x))=\sum_i{\frac{\delta(x-x_i)}{|g'(x_i)|}}[/tex]?
Thanks in advance.

Want to reply to this thread?

"Composition of a theta function with function" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads