Results 1 to 10 of about 75,869 (97)
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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Spatial Generalized Octonionic Curves
AxiomsThis study investigates curves in a 7-dimensional space, represented by spatial generalized octonion-valued functions of a single variable, where the general octonions include real, split, semi, split semi, quasi, split quasi, and para octonions.
Mücahit Akbıyık +2 more
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Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space
MANAS: Journal of Engineering, 2018 In this paper, we define Smarandache curves of null quaternionic curves in the semi ...
T. Kahraman
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Structured time-delay models for dynamical systems with connections to Frenet-Serret frame. [PDF]
Proc Math Phys Eng Sci, 2021 Hirsh SM +4 more
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