closed curve


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Related to closed curve: simple curve

closed curve

[¦klōzd ′kərv]
(mathematics)
A curve that has no end points.
References in periodicals archive ?
A borderline closed curve of any figure at the plane consists of either three or four kinds of colored points.
Since the territory of any country or area is at a celestial body, so any planar map is from a spherical map, then there is such a borderline closed curve of a figure at any planar map, namely the borderline closed curve surrounds inwardly all figures except the figure itself and figures which its other borderline closed curves surround inwardly respectively.
If each and every figure has at least four adjacent figures at an uncolored planar map, no matter these figures whether are transformed, and there is at least a piece of figures which at most three figures surrounds inwardly, then we regard the borderline closed curve which the piece of figures adjoins outwardly as "a ring of encircling figures", and use sign "[dot encircle]" to denote it, also use sign "[?
First we enroll every borderline closed curve of the figure that has the hole as No1[?
After one [dot encircle] was transformed into a rectangular closed curve which consists of transversal and longitudinal straight linear segments, or one [dot encircle] is originally the very such a rectangular closed curve, then we use symbol "[]" to denote it, and use symbol "[?
n] curve, thereby producing the following closed curve [[?
n] is a simple closed curve in [DELTA] which is star-shaped with respect to z = 0;
won the third-place $50,000 scholarship for his study of knot theory, an area of mathematics which examines closed curves in three-dimensional space and has applications in genetic research.