Surface Family with Bertrand Curves as Joint Asymptotic Curves in 3D Galilean Space
Mathematics, 2023 The primary objective of this work is to discuss a surface family with the similarity of Bertrand curves in 3D Galilean space. Subsequently, by applying the Serret–Frenet frame, we estimate the sufficient and necessary statuses of a surface family with ...
Awatif Al-Jedani, Rashad A. Abdel-Baky
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Surface Pencil Couple with Bertrand Couple as Joint Principal Curves in Galilean 3-Space
Axioms, 2023 A principal curve on a surface plays a paramount role in reasonable implementations. A curve on a surface is a principal curve if its tangents are principal directions.
Nadia Alluhaibi, Rashad A. Abdel-Baky
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Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group
Axioms, 2023 This paper is on deducing the necessary and sufficient conditions of a surface family pair with a Bertrand pair as mutual curvature lines in three-dimensional Lie group G.
Awatif Al-Jedani, Rashad A. Abdel-Baky
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Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space 𝔾3
Mathematics, 2023 This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space G3. Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwhile,
Areej A. Almoneef, Rashad A. Abdel-Baky
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Constant Mean Curvature Surfaces Along a Spacelike Curve
Cumhuriyet Science Journal, 2022 We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question.
Ergin Bayram
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A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space
Mathematics, 2023 This article gives an approach for establishing a surface family with a mutual geodesic curve in Galilean 3-space G3. Given a smooth space curve, we derive the sufficient and necessary condition for the given curve to be geodesic on it.
Awatif Al-Jedani, Rashad A. Abdel-Baky
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On Parametric Surfaces with Constant Mean Curvature Along Given Smarandache Curves in Lie Group
Journal of New Theory, 2022 This paper finds sufficient conditions to determine a surface whose mean curvature along a given Smarandache curve is constant in a three-dimensional Lie group.
Sevinç Taze, Zuhal Kucukarslan Yuzbasi
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Transient dynamic analysis of functionally graded micro-beams considering small-scale effects
Archives of Mechanics, 2021 A domain-boundary element method, based on modified couple stress theory, is developed for transient dynamic analysis of functionally graded micro-beams.
I. Eshraghi, S. Dag
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JGEET: Journal of Geoscience, Engineering, Environment and Technology, 2023 Hululais area lies in the pull-apart basins of the Ketaun Segment and Musi Segment fault as a part of the Sumatra Fault Zone (SFZ). The boundary normal faults of pull-apart basins play an important role as major discharge zones for geothermal fluid ...
Tavip Dwikorianto +3 more
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Real-Time 3D Reconstruction Pipeline for Room-Scale, Immersive, Medical Teleconsultation
Applied Sciences, 2023 Medical teleconsultation was among the initial use cases for early telepresence research projects since medical treatment often requires timely intervention by highly specialized experts. When remote medical experts support interventions, a holistic view
Ulrich Eck +5 more
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