# Riemann surface

- 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.

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Compare branch cut, branch point.

## Origin of Riemann surface

First recorded in 1890–95; named after G. F. B. Riemann

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018