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Cream of the Crop 1
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GIBBS.EKA
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1992-03-24
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392b
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17 lines
; Graphic demo of Gibbs phenomenon.
; Fourier series convergence is slowest near discontinuities.
; the function
f(x) := SUM(SIN((2n+1)x)/(2n+1),n,0,20)*4/PI
; the domain for the plot
GBOUNDS 0, PI
PLOT f
; Some commands which make the plot look nicer.
GSTYLE 1
GPOINTS 100
TITLE "Gibbs phenomenon"
SUBTITLE "for the square wave"
YLABEL "20 Fourier terms"