Results 21 to 30 of about 594 (217)
Time-like Ruled Surface in One-Parameter Hyperbolic Dual Spherical Motions
Abstract and Applied Analysis, 2022 In this work, we introduce a time-like ruled surface in one-parameter hyperbolic dual spherical motions. This provides the ability to derive some formulae of surface theory into line spaces. Then, a time-like Plücker conoid associated with the motion has
Monia F. Naghi +2 more
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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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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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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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Ruled surfaces of finite type [PDF]
Bulletin of the Australian Mathematical Society, 1990 We show that a ruled surface of finite type in a Euclidean space is a cylinder on a curve of finite type or a helicoid in Euclidean 3-space.
Chen, Bang-Yen +3 more
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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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FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source