Jordan curve
noun Etymology: Camille Jordan died 1922 French mathematician Date: 1900 simple closed curve

New Collegiate Dictionary. 2001.

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  • Jordan curve — noun a closed curve that does not intersect itself • Syn: ↑simple closed curve • Hypernyms: ↑closed curve • Hyponyms: ↑loop * * * (ˈ)zhȯ(ə)r|däⁿ noun Usage: usually capitalized J …   Useful english dictionary

  • Jordan curve — Math. See simple closed curve. [1895 1900; named after M. E. C. JORDAN] * * * …   Universalium

  • Jordan curve theorem — Illustration of the Jordan curve theorem. The Jordan curve (drawn in black) divides the plane into an inside region (light blue) and an outside region (pink). In topology, a Jordan curve is a non self intersecting continuous loop in the plane.… …   Wikipedia

  • jordan curve theorem — noun Usage: usually capitalized J : a fundamental theorem of topology: every simple closed curve divides the plane into two regions and is the common boundary between them * * * Math. the theorem that the complement of a simple closed curve can… …   Useful english dictionary

  • Jordan curve theorem — Math. the theorem that the complement of a simple closed curve can be expressed as the union of two disjoint sets, each having as boundary the given curve. Cf. simple closed curve. [1915 20; named after M. E. C. JORDAN] * * * …   Universalium

  • Jordan curve theorem — noun Date: 1947 a fundamental theorem of topology: every simple closed curve divides the plane into two regions for which it is the common boundary …   New Collegiate Dictionary

  • Jordan (disambiguation) — Jordan is a country in the Middle East.Jordan may also refer to: Middle Eastern geography * Jordan, Tehran * Jordan River United States geography * Jordan, Indiana * Jordan, Iowa * Jordan, Minnesota, a city in Scott County * Jordan, Minneapolis,… …   Wikipedia

  • Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… …   Wikipedia

  • Jordan-Kurve — geschlossene Jordankurve offene Jordankurve …   Deutsch Wikipedia

  • Jordan–Schönflies theorem — In mathematics, the Jordan–Schönflies theorem, or simply the Schönflies theorem, of geometric topology is a sharpening of the Jordan curve theorem.FormulationIt states that not only does every simple closed curve in the plane separate the plane… …   Wikipedia

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