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| Keywords: Gibbs phenomenon 10.svg Valid SVG Picture of a function <math>\sin x +\frac 1 3 \sin 3x +\frac 1 5 \sin 5x +\frac 17\sin 7x +\frac 19\sin 9x </math> as the 5-th approximation the first five terms of the wave function <math> f\left x\right \sum_ n 1 \infty \ \frac 1 2n-1 \sin 2n-1 x </math> which is the Fourier series of the function <math>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 </math> own drawn with Inkscape's function plotter 2010-05-01 Johannes Rössel <span class signature-talk >talk</span> <gallery>File Gibbs phenomenon 10 png PNG version</gallery> Gibbs phenomenon Fourier transformation Fourier series Order 5 | ||||
