Image:Gibbs phenomenon 50.jpg

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Picture of a function:

\sin(x)+\frac{1}{3}\sin(3x)+\frac{1}{5}\sin(5x)+\dotsb+\frac{1}{25}\sin(25x)


as the 25-th approximation of the wave function:

f(x) = \sin(x)+\frac{1}{3}\sin(3x)+\frac{1}{5}\sin(5x)+\dotsb

or

f(x) = \begin{cases}0 & x = 2n\pi\\ \pi/4 & 2n\pi < x < (2n+1)\pi\\ 0 & x = (2n+1)\pi\\ -\pi/4 & (2n+1)\pi < x < 2(n+1)\pi\\\end{cases}

This image was taken from w:en:Image:Gibbs phenomenon 50.png created by w:en:User:GadyKozma on 28 Aug. 2004.


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File history

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Date/TimeDimensionsUserComment
current02:45, 30 April 2005570×570 (7 KB)YebisYa (Picture of the '''25-th''' approximation of a wave function. This image was taken from w:en:Image:Gibbs phenomenon 50.png created by w:en:User:GadyKozma on 28 Aug. 2004. {{GFDL}} )
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