Results 11 to 20 of about 26,731 (163)
ON FRAMED TZITZEICA CURVES IN EUCLIDEAN SPACE
Facta Universitatis, Series: Mathematics and Informatics, 2022 Investigations are very important for non-regular curves in differential geometry. Framed curves have been used recently to study singular curves, and they have many contributions to singularity theory. In this study, framed Tzitzeica curves are introduced with the help of framed curves.
Yazici, Bahar Dogan +3 more
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The spinor representations of framed Bertrand curves
Filomat, 2023 In this study, we intend to examine the framed Bertrand curves in three-dimensional Euclidean space E3 by using the spinors, which have a fundamental place and importance in different disciplines from mathematics to physics. For this purpose, we investigate the spinor representations of framed Bertrand mates in E3.
Sakarya Üniversitesi, Fen Fakültesi, Matematik Bölümü +4 more
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Shape Analysis of Framed Space Curves [PDF]
Journal of Mathematical Imaging and Vision, 2019 In the elastic shape analysis approach to shape matching and object classification, plane curves are represented as points in an infinite-dimensional Riemannian manifold, wherein shape dissimilarity is measured by geodesic distance. A remarkable result of Younes, Michor, Shah and Mumford says that the space of closed planar shapes, endowed with a ...
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Serret-Frenet Frame and Curvatures of Bézier Curves [PDF]
Mathematics, 2018 The aim of this study is to view the role of Bézier curves in both the Euclidean plane E 2 and Euclidean space E 3 with the help of the fundamental algorithm which is commonly used in Computer Science and Applied Mathematics and without this algorithm. The Serret-Frenet elements of non-unit speed curves in the Euclidean plane E 2
Esra Erkan, Salim Yüce
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On adjoint curves of framed curves and some ruled surfaces
, 2023 Summary: In this study, we introduce the adjoint curves of framed curves. We examine some characterizations of adjoint curve of a framed curve. In addition, we give the conditions for framed curves and adjoint curves to be Bertrand and Mannheim curves.
Yazici, Bahar Dogan +2 more
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Smarandache Curves In Terms of Sabban Frame of Fixed Pole Curve
Boletim da Sociedade Paranaense de Matemática, 2015 In this paper, we study the special Smarandache curve interms of Sabban frame of Fixed Pole curve and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Süleyman Şenyurt +1 more
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Reducing wheel wear of a motorised metro car on a curved track with a small curve radius
Pojazdy Szynowe, 2023 A structural solution was proposed to enable passive control of the wheelsets of a motorised metro car on curved track with a small curve radius. This effect was achieved by varying the stiffness of the guidance of the wheelsets in the horizontal plane ...
Jan Leszek Matej, Piotr Orliński
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Gravitational Spin Hall Effect in Curves Spacetimes
Physical Sciences Forum, 2023 Geometric optics approximation sufficiently describes the effects in the near-earth environment, and Faraday rotation is purely a reference frame effect in this limit. A simple encoding procedure could mitigate the Faraday phase error.
Pravin Kumar Dahal
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, 2021 We consider curves $γ: [0, 1]\to\mathbb{R}^3$ endowed with an adapted orthonormal frame $r : [0, 1]\to SO(3)$. We are interested in the cases where the frame is constrained, in the sense that one of its `curvatures' (i.e., off-diagonal elements of $r'r^T$) is prescribed. One example is the Frénet frame. In order to deform such constrained framed curves
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THE RELATION BETWEEN FRENET FRAME OF THE NATURAL LIFT CURVE AND BISHOP FRAME OF THE CURVE
Journal of Science and Arts, 2021 In this study, the relation between Frenet Frame of the natural lift curve γ- of the curve γ and Bishop Frame vectors of γ is given in IR^3 and IR1^3 .
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