Gibbs phenomenon
= Gibbs phenomenon
{wiki=Gibbs_phenomenon}
The Gibbs phenomenon refers to an overshoot (or "ringing") that occurs when using a finite number of sinusoidal components (like in a Fourier series) to approximate a function that has discontinuities. Named after physicist Josiah Willard Gibbs, this phenomenon is particularly noticeable near the points of discontinuity when the Fourier series converges to the function.