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.

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Etymology

Origin of simple closed curve

First recorded in 1965–70

Example Sentences

So we assume the boundary to be a piecewise smooth and continuous simple closed curve.

From Textbooks • Mar. 30, 2016

These two notions, along with the notion of a simple closed curve, allow us to state several generalizations of the Fundamental Theorem of Calculus later in the chapter.

From Textbooks • Mar. 30, 2016

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 • Sep. 26, 2012