Results 1 to 10 of about 174,736 (119)
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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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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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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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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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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On the Assocıated Curves of a Frenet Curve in R_1^4
Cumhuriyet Science Journal, 2022 In the present work, we have dealt with the properties of associated curves of a Frenet curve in R14. In addition to this, we define principal direction curve, B_1 -direction curve, B_2- direction curve of a given Frenet curve by using integral curves ...
Mehmet Bektaş +2 more
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Conjugate mates for non-null Frenet curves
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove
Alev Kelleci
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Mathematics, 2020 A tensor-based general order full-discretization method is enhanced with the capacity to handle multiple discrete delays and helix effects leading to a unique automated algorithm in the stability analysis of milling process chatter.
Chigbogu Ozoegwu, Peter Eberhard
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General helices that lie on the sphere $S^{2n}$ in Euclidean space $E^{2n+1}$
Universal Journal of Mathematics and Applications, 2018 In this work, we give two methods to generate general helices that lie on the sphere $S^{2n}$ in Euclidean (2n+1)-space $E^{2n+1}$.
Bülent Altunkaya, Levent Kula
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