 math question, find the norm |
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| math question, find the norm |
 Sep 5 2007, 11:00 AM
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#1
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 Eric The Sexy Group: Moderators Posts: 831 Joined: 23-February 06 Member No.: 30  |
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 |
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Sep 5 2007, 11:17 AM
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#2
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 Group: Members Posts: 5,275 Joined: 22-February 06 Member No.: 2 |
ti-89
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Sep 5 2007, 12:21 PM
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#3
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Group: Admin Posts: 6,906 Joined: 22-February 06 From: Austin Member No.: 9 |
If you don't get an answer before I get off work today, I'll check my notes from my grad math courses. I know we covered norms, but I don't recall how to calculate them off the top of my head.
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Sep 5 2007, 12:40 PM
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#4
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 Group: Members Posts: 926 Joined: 2-May 07 Member No.: 1,015 |
well there are different kinds of norms that you can take...
typically you integrate the multiplication of the two functions --------------------  |
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Sep 5 2007, 12:42 PM
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#5
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Group: Members Posts: 926 Joined: 2-May 07 Member No.: 1,015 |
http://en.wikipedia.org/wiki/Norm_(mathematics)
Like the wiki suggests, it depends on what type of norms you are looking forward. The idea of a norm is, in essence, an abstract concept. -------------------- |
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Sep 5 2007, 12:43 PM
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#6
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Group: Members Posts: 926 Joined: 2-May 07 Member No.: 1,015 |
what are you doing this for?
it sounds very Fourier-esque... -------------------- |
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Sep 5 2007, 01:10 PM
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#7
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Group: Admin Posts: 6,906 Joined: 22-February 06 From: Austin Member No.: 9 |
I figured he was probably looking for the L2 (Euclidian) norm.
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Sep 5 2007, 02:34 PM
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#8
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Eric The Sexy Group: Moderators Posts: 831 Joined: 23-February 06 Member No.: 30 |
QUOTE (blaarg @ Sep 5 2007, 01:40 PM)  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. QUOTE (blaarg @ Sep 5 2007, 01:43 PM) what are you doing this for? it sounds very Fourier-esque... Fourier series/transforms involved with numerical models QUOTE (Spectatrix @ Sep 5 2007, 02:10 PM) 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 |
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Sep 5 2007, 03:04 PM
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#9
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 Group: Moderators Posts: 572 Joined: 23-February 06 Member No.: 33 |
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Sep 5 2007, 06:38 PM
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#10
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 From Atlantis to Interzone Group: Global Moderators Posts: 2,512 Joined: 23-February 06 From: Somewhere in space and time Member No.: 65 |
QUOTE (1up @ Sep 5 2007, 12:17 PM) ti-89 TI-89 ftw... -------------------- QUOTE (Spectatrix @ Oct 13 2006, 09:51 PM) Holy shit, pebkac, you're awesome! "Be who you are and say what you feel, because those who mind don't matter and those who matter don't mind." - Theodor Seuss Geisel (AKA Dr. Seuss) "An idea that is not dangerous is unworthy of being called an idea at all." - Oscar Wilde |
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