Gibbs phenomenon
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(mathematics) A behaviour of the Fourier series approximation at a jump discontinuity of a piecewise continuously differentiable periodic function, such that partial sums exhibit an oscillation peak adjacent the discontinuity that may overshoot the function maximum (or minimum) itself and does not disappear as more terms are calculated, but rather approaches a finite limit.
Gibbs phenomenon
When approximating a square wave with its Fourier series, the Gibbs phenomenon produces persistent oscillation peaks near each jump discontinuity that do not disappear as more terms are added.
When approximating a square wave with its Fourier series, the Gibbs phenomenon produces persistent oscillation peaks near each jump discontinuity that do not disappear as more terms are added.
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