Results 11 to 20 of about 82,785 (291)
Continuous, Slope-Preserving Maps of Simple Closed Curves [PDF]
Canadian Journal of Mathematics, 1980 How many of the continuous maps of a simple closed curve to itself are slope-preserving? For the unit circle S1 with centre (0, 0), a continuous map σ of S1 to S1 is slope-preserving if and only if σ is the identity map [σ(x, y) = (x, y)] or σ is the antipodal map [σ(x, y) = (–x, –y)].
Tibor Bisztriczky, Ivan Rival
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A metric characterization of a simple closed curve
Topology and Its Applications, 1976 AbstractThe midset M(a, b) of two points a and b in a metric space X is the set of all points equidistant from a and b, and X has the double midset property if M(a, b) consists of two points for every choice of a and b in X. The conjecture that a continuous with the double midset property is a simple closed curve is established under the additional ...
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Continua structured by families of simple closed curves - II [PDF]
Czechoslovak Mathematical Journal, 1968 Arnold R. Vobach
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Continua structured by families of simple closed curves [PDF]
Czechoslovak Mathematical Journal, 1968 Arnold R. Vobach
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On the Separation of Points of a Continuous Curve by Arcs and Simple Closed Curves [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1928 exaly +3 more sources
Simple closed curves in inverse limits with set-valued functions [PDF]
Boletin De La Sociedad Matematica MexicanaLeonardo Juárez-Villa
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Advances in Civil Engineering, 2021 For calculating the thin-walled closed curved box girder caused by the temperature gradient of the internal force and displacement, based on the fundamental differential equation of the curve beam and the principle of minimum energy, set a reverse ...
Zeying Yang +5 more
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An inequality for the minimum affine curvature of a plane curve
Comptes Rendus. Mathématique, 2020 As an application of the affine curve shortening flow, we will prove an inequality for minimum affine curvature of a smooth simple closed curve in the Euclidean plane.
Yang, Yunlong
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Journal of Computational Geometry, 2022 We solve an open problem posed by Michael Biro at CCCG 2013 that was inspired by his and others' work on beacon-based routing. Consider a human and a puppy on a simple closed curve in the plane.
Mikkel Abrahamsen +7 more
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Inverse problem of cyclographic modeling of spatial curve [PDF]
Омский научный вестник, 2022 The objective of the present study is to justify the possibility of constructive and analytic solution to the inverse problem of cyclographic modeling of a curve of space R3 and development of a respective algorithm.
T. M. Myasoedova +2 more
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