Valhalla Legends Archive

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

I'm going to learn this sometime during August.
Either wait until then, or Adron will help you now if he remembers this subject.

In a decimal frame? What do you want to know about the integral? Just calculate it?

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?

Quote from: Raven on July 12, 2004, 08:38 PM
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!

What about f(x) ?

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  )

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.