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November 13th, 2010, 05:45 AM   #1
 
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Integration and expansion

I have 2 problems,

a) a function f(x,t) should be expanded in or is it sufficient as ?

a) if I can write functions is it possible to write f1(t)f2(t) as integral of the previous function, like : , or double integral ?
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November 13th, 2010, 07:08 AM   #2
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Re: Integration and expansion

a)I don't know what you want to do, orthogonal decomposition or something else?

b)Obviously not.
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November 19th, 2010, 02:55 AM   #3
 
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Re: Integration and expansion

I made a lot of mistake inside,

for (a) i meant how to write generally the basis of all the function u(x,t) ?
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November 19th, 2010, 12:41 PM   #4
 
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Re: Integration and expansion

Sorry, but I have a question.
I can't post my problem; since I need to type some mathematical formula and I don't know how to such stuff . I want to insert integration symbol, subscript, superscript, ...etc.
Thanks in advance..
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November 19th, 2010, 03:02 PM   #5
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Re: Integration and expansion

This forum allows the use of LaTex to format equations and symbols, etc.

Check out this topic which has some useful links.
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November 20th, 2010, 03:15 PM   #6
 
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Re: Integration and expansion

Well we could see as a complete Fourier transformation in k,omega,

but I don't know why, physically, a "time-basis" seems a bit "naive", in the sense the future always remains hidden ?
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November 21st, 2010, 03:53 PM   #7
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Re: Integration and expansion

There will allways be some cost (loss of energy or power etc.) doing a), even the function can be decomposed by the Fourier transform.
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