UnderGround Forums
 

AcademicGround >> Fourier Just Blew My Mind


12/13/08 12:38 AM
Ignore | Quote | Vote Down | Vote Up
Spinelock
46 The total sum of your votes up and votes down Send Private Message Add Comment To Profile

Member Since: 1/17/07
Posts: 49
 
Perpindicular<>Orthoginal
vector<>function
Dot Product<>inner product
Basis vectors<>Orhtonormal Sets
i,j,k<> Sines/Cosines

fucking a, such a brilliant idea
12/13/08 1:18 AM
Ignore | Quote | Vote Down | Vote Up
Spinelock
46 The total sum of your votes up and votes down Send Private Message Add Comment To Profile

Member Since: 1/17/07
Posts: 50
The above list compares roughly speaking the vector description of euclidean 3 space and fouriers coresponding generalizations to ultimatley express periodic funcions as a sum of "vectors" in an infinite dimensional space.

Unless Im way off, in which case please flame me and tell me how stupid i am.
12/16/08 10:04 PM
Ignore | Quote | Vote Down | Vote Up
amorphous
10 The total sum of your votes up and votes down Send Private Message Add Comment To Profile

Member Since: 10/26/03
Posts: 9189
Oh god....

I'm a CS major who is just entering Trig....I need to go all of the way to Diff Equations. I have a lot to learn :(
12/18/08 4:38 PM
Ignore | Quote | Vote Down | Vote Up
Spinelock
46 The total sum of your votes up and votes down Send Private Message Add Comment To Profile

Member Since: 1/17/07
Posts: 163
Hang in there! Make SURE you learn trig, calculus will eat you alive if you don't. Good luck!
1/15/09 1:01 PM
Ignore | Quote | Vote Down | Vote Up
P.V.Jena
Send Private Message Add Comment To Profile

Member Since: 1/1/01
Posts: 1723
 "fucking a, such a brilliant idea"

I predict you fainting when you run into Dirac's Bra/Ket <> notation!
2/15/09 8:31 PM
Ignore | Quote | Vote Down | Vote Up
AlbertEinstein
Send Private Message Add Comment To Profile

Member Since: 6/15/07
Posts: 1649
Spinelock - Perpindicular<>Orthoginal
vector<>function
Dot Product<>inner product
Basis vectors<>Orhtonormal Sets
i,j,k<> Sines/Cosines

fucking a, such a brilliant idea

Fourier didn't really invent the idea of an abstract vector space whose elements are functions though. That was mostly due to Lebesque and Hilbert. Fourier just worked with a specific type of function space, the set containing all periodic functions.

Reply Post

You must log in to post a reply. Click here to login.