File:Gibbs phenomenon 250.png

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Gibbs_phenomenon_250.png‎ (570 × 570 pixels, file size: 689 B, MIME type: image/png)

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Picture of a function:

\sin(x)+\frac{1}{3}\sin(3x)+\frac{1}{5}\sin(5x)+...+\frac{1}{249}\sin(249x)

as the 125-th approximation (the first one hundred and twenty-five terms) of the wave function:

f(x) =\sum_{n=1}^\infty \, \frac{1}{2n-1} \sin((2n-1)x)

which is the Fourier series of the function:

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 250.png created by w:en:User:GadyKozma on 28 Aug. 2004.


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File history

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Date/TimeThumbnailDimensionsUserComment
current02:50, 30 April 2005Thumbnail for version as of 02:50, 30 April 2005570×570 (689 B)YebisYa (Picture of the '''125-th''' approximation of a wave function. This image was taken from w:en:Image:Gibbs phenomenon 250.png created by w:en:User:GadyKozma on 28 Aug. 2004. {{GFDL}} )

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Retrieved from "http://knowino.org/wiki/File:Gibbs_phenomenon_250.png"
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