Jordan curve en · NOUN
Etymology
Named after French mathematician Camille Jordan (1838-1922), who first proved the Jordan curve theorem.
Meanings
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A non-self-intersecting continuous loop in the plane; a simple closed curve.
When μ is small and positive, the locus (1) consists of a Jordan curve near each of the Jordan curves belonging to B.
1950, Joseph Leonard Walsh, The Location of Critical Points of Analytic and Harmonic Functions, American Mathematical Society, page 242:If fis a closed curve that is one-one on [0,1] except for f(0) = f(I), then we say that f is a Jordan curve. A Jordan curve can be seen as a homeomorphism from the circle C onto a subset of the given space.
1992, Konrad Jacobs, Invitation to Mathematics, page 164:The most general Jordan curves, like the triangle, have the property of dividing the plane into two regions.
2001, Constantin Carathéodory, Theory of Functions of a Complex Variable, volume 1, page 100:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| Jordan curves | Number=Plur | lexicographic |
Relateds
Synonyms
simple closed curve (non-self-intersecting loop in the plane)