math question, find the norm Options

[moebary]

given an orthogonal set, how do you find the norm for that set of functions

I remember how to find the norm of a single function, but don't remember if you do something different for a set.

i should know this considering i got a degree in math, but can't remember.

if you need to know, the functions are sin(n*x) and cos(n*x) where n=0,1,2,...

This post has been edited by moebary: Sep 5 2007, 11:01 AM

[moebary]

well there are different kinds of norms that you can take...
typically you integrate the multiplication of the two functions

that's what you do to tell if the set is orthogonal.

to find the norm of a function you square it, integrate it, then take the root. though I'm not sure what to do with a set of functions.

what are you doing this for?
it sounds very Fourier-esque...

Fourier series/transforms involved with numerical models

I figured he was probably looking for the L2 (Euclidian) norm.

yep

This post has been edited by moebary: Sep 5 2007, 03:27 PM