Results 21 to 30 of about 114,508 (265)
Developable Ruled Surfaces Generated by the Curvature Axis of a Curve
Axioms, 2023 Ruled surfaces play an important role in various types of design, architecture, manufacturing, art, and sculpture. They can be created in a variety of ways, which is a topic that has been the subject of a lot of discussion in mathematics and engineering ...
Ferhat Taş, Rushan Ziatdinov
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Curves on ruled surfaces under infinitesimal bending [PDF]
Bulletin of Natural Sciences Research, 2021 Infinitesimal bending of curves lying with a given precision on ruled surfaces in 3-dimensional Euclidean space is studied. In particular, the bending of curves on the cylinder, the hyperbolic paraboloid and the helicoid are considered and appropriate ...
Najdanović Marija +2 more
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Inextensible Flows of Curves on Lightlike Surfaces
Mathematics, 2018 In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the ...
Zühal Küçükarslan Yüzbaşı +1 more
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Deformations of ruled surfaces.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1992 In spite of the long history of the theory of ruled surfaces, their deformations so far have only been studied for ruled surfaces with rational or elliptic base curves. In this paper, I deal with the versal deformation and the deformation types of arbitrary ruled surfaces over \(\mathbb{C}\).
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PSEUDO-MINIMALITY AND RULED SURFACES [PDF]
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2020 This paper is a follow-up to the author's series of works about shape modeling for an orthotropic elastic material that takes an equilibrium form inside the area with the specified boundaries. V.M. Gryanik and V.I. Loman, based on thin shell equilibrium equations, solved about 30 years ago a similar problem for an isotropic mesh attached to rigid ...
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On the Gauss map of ruled surfaces [PDF]
Glasgow Mathematical Journal, 1992 Let M2 be a (connected) surface in Euclidean 3-space E3, and let G:M2→S2(1) ⊂ E3 be its Gauss map. Then, according to a theorem of E. A. Ruh and J. Vilms [3], M2 is a surface of constant mean curvature if and only if, as a map from M2 to S2(1), G is harmonic, or equivalently, if and only ifwhere δ is the Laplace operator on M2 corresponding to the ...
Baikoussis, C., Blair, D. E.
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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Kuwait Journal of Science, 2020 In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E^3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve.
Mehmet Önder, Tanju Kahraman
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Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3
Abstract and Applied Analysis, 2021 In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3.
Soukaina Ouarab
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Smarandache-Based Ruled Surfaces with the Darboux Vector According to Frenet Frame in $E^3$
Journal of New Theory, 2022 The paper introduces a new kind of special ruled surface. The base of each ruled surface is taken to be one of the Smarandache curves of a given curve according to Frenet frame, and the generator (ruling) is chosen to be the corresponding unit Darboux ...
Elif Çan +2 more
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