Jordan curve


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Related to Jordan curve: Closed curve theorem

Jordan curve


[After Camille Jordan (1838-1922), French mathematician.]
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.Jordan curve - a closed curve that does not intersect itself
closed curve - a curve (such as a circle) having no endpoints
loop - anything with a round or oval shape (formed by a curve that is closed and does not intersect itself)
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in periodicals archive ?
Symm [3, 4] proposed the integral equation method for the conformal mapping of a simply connected domain bounded by a closed Jordan curve onto the unit disk, of its exterior onto the exterior of the unit disk and of a doubly connected domain onto a concentric circular annulus.
Denote the number of zeros and poles of R(z, t) in the interior of Jordan curve y [subset] C by N(R, [gamma]) and P(R, [gamma]).
A bounded Jordan curve in the complex plane divides the extended complex plane [C.sub.[infinity]] = C [union] {[infinity]} into two domains [D.sub.1] and [D.sub.2], whose common boundary is the Jordan curve.
An arbitrary Jordan curve can be approximated from the inside as well as from the outside by analytic Jordan curves.
Let G [subset] C be a finite region bounded by Jordan curve L and let w = [PHI](z) (w = [??](z)) be the conformal mapping of [OMEGA] := ext [bar.G] (G) onto
We define, the Jordan curve [GAMMA] on D as follows:

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