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Journals / Journal of Engineering Technology and Applied Sciences / 2023 / Cilt: 8 Sayı: 3

On Hybrid Curves

Mücahit Akbıyık(BEYKENT UNIVERSITY)0000-0002-0256-1472
Pages
119–130
Publication Date
2023-12-31
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

However, we present the Frenet-Serret frame formulae of a non-lightlike hybrid curve in R^4 and an illustrative example for all theorems of the paper with MATLAB 2016a codes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,<>) which is identified with the space of spatial hybrids.
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Key Findings & Data:Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product.
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Conclusion & Impact:However, we present the Frenet-Serret frame formulae of a non-lightlike hybrid curve in R^4 and an illustrative example for all theorems of the paper with MATLAB 2016a codes.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Hybrid numbers · Curvatures · Frenet-Serret frame formulae

Abstract

In this paper, we first define the vector product in a special analog Minkowski Geometry (R^3,<>) which is identified with the space of spatial hybrids. Next, we derive the Frenet-Serret frame formulae for a three dimensional non-parabolic curve by using the spatial hybrids and the vector product. However, we present the Frenet-Serret frame formulae of a non-lightlike hybrid curve in R^4 and an illustrative example for all theorems of the paper with MATLAB 2016a codes.

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Cite This Article

Akbıyık, M. (2023). On Hybrid Curves. Journal of Engineering Technology and Applied Sciences, Cilt: 8 Sayı: 3, 119–130. https://doi.org/10.30931/jetas.1338660

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References (16)

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  13. Dağdeviren, A., Yüce, S., "Dual quaternions and dual quaternionic curves", Filomat 33(4) (2019): 1037–1046.
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