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simple closed curve

American  

noun

Mathematics.

  1. a curve that is closed and that has no loops or points missing; a curve for which there exists a homeomorphism mapping it to a circle.

Etymology

Origin of simple closed curve

First recorded in 1965–70

Example Sentences

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In their paper Lindsey and Thurston prove that for any simple closed curve in the complex plane—no matter how complicated—there is a polynomial whose Julia set is arbitrarily close to the outline of the curve.

From Scientific American

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.