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.

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Noun

Jordan curve - a closed curve that does not intersect itself

simple closed curve

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)

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References in periodicals archive

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]).

On connectivity of Fatou components concerning a family of rational maps

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.

Computation of exterior moduli of quadrilaterals

An arbitrary Jordan curve can be approximated from the inside as well as from the outside by analytic Jordan curves.

Approximation of entire functions of two complex variables over Jordan domains

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

Convergence of the p-Bieberbach polynomials in regions with zero angles/ p-Bieberbachi polunoomide uhtlane koonduvus nulliliste nurkadega piirkondades

We define, the Jordan curve [GAMMA] on D as follows:

Blaschke products with zeros outside a Stolz angle, in [Q.sub.p] spaces

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