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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, we discuss the method and whether further research should be conducted or not.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we provide an alternative method to determine the position vector of a slant helix with the help of an alternative moving frame.
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Key Findings & Data:We then construct a vector differential equation in terms of the principal normal vector of a slant helix using an alternative moving frame.
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Conclusion & Impact:Finally, we discuss the method and whether further research should be conducted or not.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Alternative moving frame · intrinsic equations · position vector
Abstract
In this paper, we provide an alternative method to determine the position vector of a slant helix with the help of an alternative moving frame. We then construct a vector differential equation in terms of the principal normal vector of a slant helix using an alternative moving frame. By solving this vector differential equation, we determine the position vector of the slant helix. Afterward, we obtain parametric representations of some examples of slant helices for chosen curvature and torsion functions as an application of the proposed method. Finally, we discuss the method and whether further research should be conducted or not.
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Cite This Article
GÜZELKARDEŞLER, G., ŞAHİNER, B. (2023). An Alternative Method for Determination of the Position Vector of a Slant Helix. Journal of New Theory, Sayı: 44, 97–105. https://ajindex.com/articles/966422