- simple closed curve
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Math.a curve that is closed and that has no loops or points missing; a curve for which there exists a homeomorphism mapping it to a circle. Also called Jordan curve.[1965-70]
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Universalium. 2010.
simple closed curve
Look at other dictionaries:
simple closed curve — noun a closed curve that does not intersect itself • Syn: ↑Jordan curve • Hypernyms: ↑closed curve • Hyponyms: ↑loop * * * noun : jordan curve * * * … Useful english dictionary
simple closed curve — noun Date: 1919 a closed plane curve (as a circle or an ellipse) that does not intersect itself called also Jordan curve … New Collegiate Dictionary
closed curve — noun a curve (such as a circle) having no endpoints • Hypernyms: ↑curve, ↑curved shape • Hyponyms: ↑simple closed curve, ↑Jordan curve * * * closed curve, Mathematics. a curve which returns into itself, as an oval … Useful english dictionary
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
Curve orientation — In mathematics, a positively oriented curve is a planar simple closed curve (that is, a curve in the plane whose starting point is also the end point and which has no other self intersections) such that when traveling on it one always has the… … Wikipedia
simpleclosed curve — simple closed curve n. A curve, such as a circle, that is closed and does not intersect itself. Also called Jordan curve. * * * … Universalium
curve — curvedly /kerr vid lee/, adv. curvedness, n. curveless, adj. /kerrv/, n., v., curved, curving, adj. n. 1. a continuously bending line, without angles. 2. the act or extent of curving. 3. any curved outline, form, thing, or part. 4. a curved… … Universalium
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 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
