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Journals / Turkish Journal of Mathematics and Computer Science / 2023 / Volume: 15 Issue: 2

On Polynomial Space Curves with Flc-frame

Mustafa Dede(KILIS 7 ARALIK UNIVERSITY)0000-0003-2652-637X
Pages
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Publication Date
2023-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, we explore some basic concepts regarding polynomial space curves from point of view of Flc-frame in three dimensional Euclidean space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The first and second derivatives of a curve provide us fundamental information in the study of the behavior of curve near a point.
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Key Findings & Data:However, if a curve is a polynomial space curve of degree n, we don’t know what is the geometric meaning of the n-th derivative of the curve?
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Conclusion & Impact:Moreover, we explore some basic concepts regarding polynomial space curves from point of view of Flc-frame in three dimensional Euclidean space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Frenet frame · space curve · adapted frame

Abstract

The first and second derivatives of a curve provide us fundamental information in the study of the behavior of curve near a point. However, if a curve is a polynomial space curve of degree n, we don’t know what is the geometric meaning of the n-th derivative of the curve? There is no doubt that the Frenet frame is not suitable for this purpose because it is constructed by using first and second derivatives of a curve. On the other hand, in this paper by using a new frame called as Flc-frame we are able to give the geometric meaning of the n-th derivative of a curve. Moreover, we explore some basic concepts regarding polynomial space curves from point of view of Flc-frame in three dimensional Euclidean space.

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Cite This Article

Dede, M. (2023). On Polynomial Space Curves with Flc-frame. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 2. https://doi.org/10.47000/tjmcs.1127766

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