Gibbs' phenomenon

Gibbs' phenomenon

[′gibz fə‚näm·ə‚nän]
(mathematics)
A convergence phenomenon occurring when a function with a discontinuity is approximated by a finite number of terms from a Fourier series.
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Paulo invited Abdul to give the first plenary talk on Gibbs' Phenomenon in sampling [1997]; this was most appropriate--the proceedings were dedicated to his 65th birthday.