closed curve


Also found in: Dictionary, Thesaurus, Medical, Wikipedia.
Related to closed curve: simple curve

closed curve

[¦klōzd ′kərv]
(mathematics)
A curve that has no end points.
References in periodicals archive ?
Indirect encoding of the genes of a closed curve for interactively create innovative car silhouettes.
The s-v phase diagram is made up by many closed curves combining with Poincaree section, and it can be indicated that the response of pipe wall is the quasiperiodic motion.
A borderline closed curve of any figure at the plane consists of either three or four kinds of colored points.
alpha]] is a simple, smooth closed curve, symmetric with respect to the real axis, starlike with respect to z = 0, which passes through [z.
2] = [partial derivative]B contains a closed curve which is invariant under the antipodal map, then the Euler characteristic of M is odd.
20 A space is said to be simply connected if every closed curve in the space may be contracted to a point without leaving the space.
i] does not contain a simple closed curve and (3) [F.
Quite naturally, all counterparts of a closed curve are interpreted by any assignment on the same set.
John showed that a finite-length closed curve in the plane can be made convex in a continuous manner, and without bringing any two points of the curve closer together.
Our methods introduce circular and spherical images of parametric curves and surfaces, leading to results on the tangential degree of a closed curve in the plane, and the Hopf Theorem on the normal degree of a surface in three-space.
To a topologist, a knot in a formal sense is any simple closed curve embedded in a three-dimenstional space.