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Meaning of Riemann surface

Rie'mann sur"face

Pronunciation: [key]
— Math. Math.
  1. a geometric representation of a function of a complex variable in which a multiple-valued function is depicted as a single-valued function on several planes, the planes being connected at some of the points at which the function takes on more than one value. Cf.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.