File:Gibbs phenomenon 250.svg

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Summary

Description
English: a function:
sin⁡(x)+13sin⁡(3x)+15sin⁡(5x)+...+1249sin⁡(249x)

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

f(x)=∑n=1∞12n−1sin⁡((2n−1)x)

which is the Fourier series of the function:

f(x)={0x=2nππ/42nπ<x<(2n+1)π0x=(2n+1)π−π/4(2n+1)π<x<2(n+1)π
Date
Source Own work, drawn with Inkscape's function plotter
Author Johannes Rössel
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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inception

1 May 2010

data size

27,314 byte

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checksum

dc0388258459cc2057538cd8026c81edfdf599e0

determination method or standard: SHA-1

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Date/TimeThumbnailDimensionsUserComment
current15:03, 1 May 2010Thumbnail for version as of 15:03, 1 May 2010800 × 400 (27 KB)wikimediacommons>Joey-das-WBF{{Valid SVG}} == {{int:filedesc}} == {{Information |Description={{en|Picture of a function: :<math>\sin(x)+\frac{1}{3}\sin(3x)+\frac{1}{5}\sin(5x)+...+\frac{1}{249}\sin(249x)</math> as the '''125-th''' approximation (the first one hundred and twenty-five

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