Finding the inner product formulla

[lom]

once i solve that one is the derivative of the other
but here its much harder to guess the formulla
http://i47.tinypic.com/ixt74i.jpg
what is the general method?

 

[LCKurtz]

once i solve that one is the derivative of the other

Are we supposed to know what you are talking about?

but here its much harder to guess the formulla

http://i45.tinypic.com/14dhhn5.jpg

what is the general method?

Guess what formula? Your graphic looks like an application of the Riemann Lebesgue Lemma.
See:
http://en.wikipedia.org/wiki/Riemann–Lebesgue_lemma

 

[lom]

i want to find the formula for the inner product which defines such norm.


?

 

[lom]

sorry i uploaded the wrong photo
http://i47.tinypic.com/ixt74i.jpg

a little change

"which defines the minimal"

 

[HallsofIvy]

You still haven't told us what the entire problem is- that looks like part of a problem. Three numbers don't "define" anything!

 

[lom]

i need to find alpha beta and gama
so this expression will be minimal

i know how to solve such stuff
usually
i have a vector and a subspace to make a projection of the vector

so i make an orthogonal basis and then i make a projection of that vector
into my space

and then the difference between that vector and the original vector is the minimal

but in order to do all that i need the
inner product formula which defines this norm.

usually i figured out the formula by guessing

but here i can't guess

so i am asking if there is a general method
?