jordan curve

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Definitions from WordNet

Noun jordan curve has 1 sense

simple closed curve, Jordan curve - a closed curve that does not intersect itself
--₁ is a kind of closed curve
--₁ has particulars: loop

Definitions from the Web

Jordan Curve

Definition: In mathematics, a Jordan curve refers to a continuous, closed curve without any self-intersections in a plane.

Example of usage:

The Jordan curve theorem states that any non-self-intersecting continuous closed curve divides the plane into exactly two regions.
To prove the existence of a Jordan curve, one needs to show that the curve has no self-intersections.
A simple example of a Jordan curve is a circle.

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