Results 1 to 10 of about 370 (117)
Framed general helix and framed ζ3-slant helix in ℝ4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we focus on general and ζ3-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and ζ3-slant helices, respectively.
Ateş Mine, Akyiğit Mahmut
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A generalization of the notion of helix
Turkish Journal of Mathematics, 2023 In this paper we generalize the notion of helix in the three-dimensional Euclidean space, which we define as that curve $C$ for which there is an $F$-constant vector field $W$ along $C$ that forms a constant angle with a fixed direction $V$ (called an axis of the helix).
Lucas, Pascual +1 more
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Driven toroidal helix as a generalization of the Kapitza pendulum
Physical Review E, 2022 We explore a model system consisting of a particle confined to move along a toroidal helix while being exposed to a static potential as well as a driving force due to a harmonically oscillating electric field. It is shown that in the limit of a vanishing helix radius the governing equations of motion coincide with those of the well-known Kapitza ...
J. F. Gloy, A. Siemens, P. Schmelcher
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Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame
Journal of New Theory, 2021 This paper aims to design a generalized cylinder with a geodesic base curve according to the Darboux frame in Euclidean 3-space. A generalized cylinder is a special ruled surface that is constructed by a continuous fixed motion of a generator line called
Nabil Althibany
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Generalization of general helices and slant helices [PDF]
Journal of Mahani Mathematical Research, 2017 In this work, we use the formal definition of $k$-slant helix cite{ali2} to obtain the intrinsic equations as well as the position vector for emph{slant-slant helices} which a generalization of emph{general helices} and emph{slant helices}.
Ahmet Ali
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Generalizing the Aromatic δ‐Amino Acid Foldamer Helix
Chemistry – A European Journal, 2022 AbstractA series of aromatic oligoamide foldamer sequences containing different proportions of three δ‐amino acids derived from quinoline, pyridine, and benzene and possessing varying flexibility, for example due to methylene bridges, were synthesized.
Daniel Bindl +2 more
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Some integral curves with a new frame
Open Mathematics, 2020 In this paper, some new integral curves are defined in three-dimensional Euclidean space by using a new frame of a polynomial spatial curve. The Frenet vectors, curvature and torsion of these curves are obtained by means of new frame and curvatures.
Güven İlkay Arslan
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Tensioning the helix: a mechanism for force generation in twining plants [PDF]
Proceedings of the Royal Society B: Biological Sciences, 2009 Twining plants use their helical stems to clasp supports and to generate a squeezing force, providing stability against gravity. To elucidate the mechanism that allows force generation, we measured the squeezing forces exerted by the twinerDioscorea bulbiferawhile following its growth using time-lapse photography.
Isnard, Sandrine +4 more
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On Spatial Quaternionic b-lift Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves.
Altınkaya Anıl, Çalışkan Mustafa
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Helix capping in RNA structure. [PDF]
PLoS ONE, 2014 Helices are an essential element in defining the three-dimensional architecture of structured RNAs. While internal basepairs in a canonical helix stack on both sides, the ends of the helix stack on only one side and are exposed to the loop side, thus ...
Jung C Lee, Robin R Gutell
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