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Member Forums => Yoni's Math Forum => Topic started by: idoL on July 12, 2004, 09:41 AM

Title: Fourier Series
Post by: idoL on July 12, 2004, 09:41 AM
Yoni, have you ever delved into this advanced math subject? If so, that's great because I am advanced in math and need some help on intergals.
Can you help me figure out the propertie of this intergal, it's set in a decimal frame.

a(0) / 2 + (sum)(k=1..inf) (a(k) cos kx + b(k) sin kx)

   a(k) = 1/PI (integral)(-PI to PI) f(x) cos kx dx
   b(k) = 1/PI (integral)(-PI to PI) f(x) sin kx dx




Title: Re:Fourier Series
Post by: Yoni on July 12, 2004, 03:50 PM
I'm going to learn this sometime during August.
Either wait until then, or Adron will help you now if he remembers this subject.
Title: Re:Fourier Series
Post by: Adron on July 12, 2004, 05:10 PM
In a decimal frame? What do you want to know about the integral? Just calculate it?
Title: Re:Fourier Series
Post by: Raven on July 12, 2004, 08:38 PM
http://mathworld.wolfram.com/FourierSeries.html (http://mathworld.wolfram.com/FourierSeries.html)

I checked a Calc book, and it essentially lists what you typed as the definition for the Fourier Series. What did you mean by property? Perhaps you were you referring to the interval of integration or convergence?
Title: Re:Fourier Series
Post by: idoL on July 12, 2004, 09:01 PM
Quote from: Raven on July 12, 2004, 08:38 PM
http://mathworld.wolfram.com/FourierSeries.html (http://mathworld.wolfram.com/FourierSeries.html)

I checked a Calc book, and it essentially lists what you typed as the definition for the Fourier Series. What did you mean by property? Perhaps you were you referring to the interval of integration or convergence?

Yeah that's it, sorry!
Title: Re:Fourier Series
Post by: Adron on July 13, 2004, 09:02 AM
What about f(x) ?
Title: Re:Fourier Series
Post by: idoL on July 13, 2004, 01:00 PM
Quote from: Adron on July 13, 2004, 09:02 AM
What about f(x) ?

What about it?
Doesn't the interval count for the f(x) if it's displayed in context?
(I'm a newb  :-\)
Title: Re:Fourier Series
Post by: Adron on July 13, 2004, 04:00 PM
Well, the subject says all you need to know about those equations?

You can't analyze convergence of a fourier series if f(x) is completely unknown. Generally, if f(x) is periodic, it will converge.