🚀 go-pugleaf

In article <!672sl_@rpi.edu> sassoj@rs6412.ecs.rpi.edu (John J. Sasso Jr.) writes:
>
>   Given a function f in L^2(R), which exists on the interval [a,b], how
>would I go about calculating its L^2-norm?  Does there exist a numerical
>algorithm which can do this?
>
the simplest choice of norm would be:

integral(from a to b) dx f*(x) f(x)
where f* is the complex conjugate

- if f is real then 
integral(from a to b) dx f(x)^2

other choices of norms are possible depending on your problem;
for ex.

integral(from a to b) dx f(x)^2/[(x-a)(b-x)]^t

where t is a real such that the integral exists.

--
From:  simardr@iro.umontreal.ca