Results 11 to 20 of about 824,488 (198)
Quaternionic Serret-Frenet Frames for Fuzzy Split Quaternion Numbers [PDF]
Advances in Fuzzy Systems, 2018 We build the concept of fuzzy split quaternion numbers of a natural extension of fuzzy real numbers in this study. Then, we give some differential geometric properties of this fuzzy quaternion.
Cansel Yormaz +2 more
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FRENET-FRAME CONTINUITY AND EXISTENCE OF THE SERRET-FRENET EQUATIONS AT ZERO-CURVATURE POINTS [PDF]
, 2021 The continuity of the Frenet frame and existence of the Serret-Frenet equations at zero-curvature points are established for a general three-dimensional curve with arbitrary parameterization. To this end, the Frenet-Euler angles, referred to for brevity as Frenet angles, are used.
Ahmed Shabana (10639154)
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A natural Frenet frame for null curves on the lightlike cone in Minkowski space R 2 4 $\mathbb{R} ^{4}_{2}$ [PDF]
Journal of Inequalities and Applications, 2020 In this paper, we investigate the representation of curves on the lightlike cone Q 2 3 $\mathbb {Q}^{3}_{2}$ in Minkowski space R 2 4 $\mathbb {R}^{4}_{2}$ by structure functions.
Nemat Abazari +4 more
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Trajectory Planning in Frenet Frame via Multi-Objective Optimization
IEEE Access, 2023 Autonomous vehicles are an essential tool for promoting the development of intelligent transportation systems (ITS) and can effectively reduce traffic accidents caused by human errors.
Jianyu Huang +3 more
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Some integral curves according to quasi-frame in Euclidean 3-space
Scientific AfricanThis study explores integral curves associated with the quasi-frame in three-dimensional Euclidean space. We focus specifically on the quasi-normal and quasi-binormal vectors.
Ayman Elsharkawy, Hasnaa Baizeed
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Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3
Abstract and Applied Analysis, 2021 In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface.
Soukaina Ouarab
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An Investigation of RNA using the Discrete Frenet Frame
, 2015 Master Degree Project ...
Neiss, Daniel
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Abstract and Applied Analysis, 2022 In this paper, we introduce original definitions of Smarandache ruled surfaces according to Frenet-Serret frame of a curve in E3. It concerns TN-Smarandache ruled surface, TB-Smarandache ruled surface, and NB-Smarandache ruled surface.
Soukaina Ouarab
doaj +2 more sources
Applications of the Frenet Frame to Electric Circuits [PDF]
IEEE Transactions on Circuits and Systems I: Regular Papers, 2022 The paper discusses the relationships between electrical quantities, such as voltages, currents, and frequency, and geometrical ones, namely curvature and torsion. The proposed approach is based on the Frenet frame utilized in differential geometry and provides a general framework for the definition of the time derivative of electrical quantities in ...
Federico Milano 0001 +3 more
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Chirality Transfer via Orientational Order of Micellar Assemblies on Gold Nanocrystals. [PDF]
Adv MaterA mechanism for chiral growth of Au nanocrystals mediated by orientational order of chiral micelles at seed surfaces is demonstrated. 3D electron microscopy and molecular dynamics simulations reveal how alignment of the micelles along crystal directions and torsion–orientation coupling govern chirality transfer, providing a framework to rationalize ...
Girod R +8 more
europepmc +2 more sources