SIMPLE CLOSED CURVE Definition & Meaning

simple closed curve

noun

Mathematics.

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.

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�y��vlog History and Origins

Origin of simple closed curve¹

First recorded in 1965–70

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Example Sentences

Examples have not been reviewed.

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.

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