Results 21 to 30 of about 86 (82)
Modeling repulsive forces on fibres via knot energies
Computational and Mathematical Biophysics, 2014 Modeling of repulsive forces is essential to the understanding of certain bio-physical processes, especially for the motion of DNA molecules. These kinds of phenomena seem to be driven by some sort of “energy” which especially prevents the molecules from
Blatt Simon, Reiter Philipp
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Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon
Analysis and Geometry in Metric Spaces, 2021 We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
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Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Many curve evolutions have been determined which are integrable in recent times. The motion of curves can be defined by certain integrable equations including the modified Korteweg-de Vries.
Eren Kemal
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A study of tube-like surfaces according to type 2 Bishop frame in Euclidean space
, 2017 The main goal of this paper is the study of the classical differential geometry of a special kind of tube surfaces, so-called tube-like surface in 3- dimensional Euclidean space E3.
ABDEL-AZIZ , Hossam S.
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International Journal of Mathematical Combinatorics, Vol.4 [PDF]
, 2010 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Translation Surfaces Generated by the Adjoint Curve in 3-dimensional Euclidean Space
, 2023 In this talk, we examined the translation surfaces formed by a curve with constant curvature and its adjointcurve. We calculated first fundamental form, second fundamental form, Gaussian curvature and mean cur-vature of the translation surface.
Saltık, Burçin, Yüksel, Nural
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International Journal of Mathematical Combinatorics, Vol.4A [PDF]
, 2010 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Some new types of associated curves in Euclidean 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space.
Özdoğan Sibel +3 more
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On Soliton Equations in Classical Differential Geometry [PDF]
, 2016 [Valchev Tihomir; Вълчев Тихомир]In this survey report we shall briefly sketch certain problems from the classical differential geometry of curves and surfaces that lead to nonlinear partial differential equations known from soliton theory.
Valchev, Tihomir
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ANY CYCLIC QUADRILATERAL CAN BE INSCRIBED IN ANY CLOSED CONVEX SMOOTH CURVE
Forum of Mathematics, Sigma, 2018 We prove that any cyclic quadrilateral can be inscribed in any closed convex $C^{1}$ -curve. The smoothness condition is not required if the quadrilateral is a rectangle.
ARSENIY AKOPYAN, SERGEY AVVAKUMOV
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