One-Parameter Hyperbolic Spatial Locomotions and Invariants of the Axode
Mathematics, 2023 In this paper, based on the E. Study map, direct appearances were sophisticated for one-parameter hyperbolic dual spherical locomotions and invariants of the axodes.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space
Mathematics, 2023 This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light of the causal characteristics, we give some representations of rectifying non-null curves.
Areej A. Almoneef, 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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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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A Study on $f$-Rectifying Curves in Euclidean $n$-Space
Universal Journal of Mathematics and Applications, 2021 A rectifying curve in the Euclidean $n$-space $\mathbb{E}^n$ is defined as an arc-length parametrized curve $\gamma$ in $\mathbb{E}^n$ such that its position vector always lies in its rectifying space (i.e., the orthogonal complement of its principal ...
Zafar Iqbal, Joydeep Sengupta
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The Frenet Serret Description of Gyroscopic Precession [PDF]
, 1993 The phenomenon of gyroscopic precession is studied within the framework of Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is highlighted with particular reference to the irrotational congruence ...
B. R. Iyer +15 more
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Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation [PDF]
, 2014 We consider the one-dimensional Landau-Lifshitz-Gilbert (LLG) equation, a model describing the dynamics for the spin in ferromagnetic materials. Our main aim is the analytical study of the bi-parametric family of self-similar solutions of this model.
de Laire, André, Gutiérrez, Susana
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Gyroscopic Precession and Inertial Forces in Axially Symmetric Stationary Spacetimes [PDF]
, 1998 We study the phenomenon of gyroscopic precession and the analogues of inertial forces within the framework of general relativity. Covariant connections between the two are established for circular orbits in stationary spacetimes with axial symmetry ...
A. R. Prasanna +23 more
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