# Jordan curve

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Related to Jordan curve: Closed curve theorem

## Jordan curve

n.

[After Camille Jordan (1838-1922), French mathematician.]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 Jordan curve - a closed curve that does not intersect itselfsimple closed curveclosed curve - a curve (such as a circle) having no endpointsloop - anything with a round or oval shape (formed by a curve that is closed and does not intersect itself)
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A bounded Jordan curve in the complex plane divides the extended complex plane [C.
An arbitrary Jordan curve can be approximated from the inside as well as from the outside by analytic Jordan curves.
Let G be a finite region with 0 [member of] G bounded by Jordan curve L := [partial derivative]G and let w = [phi](z) be a conformal mapping of G onto the disk {w : [absolute value of w] < [r.
We define, the Jordan curve [GAMMA] on D as follows:
Let G be a bounded simply-connected domain in the complex plane C, whose boundary L := [partial derivative]G is a Jordan curve and let [{[P.

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