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Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 4 Issue: 1

Smarandache Curves According to Flc-frame in Euclidean 3-space

Süleyman Şenyurt(ORDU UNIVERSITY)0000-0003-1097-5541
Kebire Hilal Ayvacı(T.C. MİLLİ EĞİTİM BAKANLIĞI)0000-0002-5114-5475
Davut Canlı(ORDU UNIVERSITY)0000-0003-0405-9969
Pages
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Publication Date
2023-01-31
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AI Summary & Key Takeaways

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

For the sake of comparison in view, an example for Smarandache curves according to both Frenet and Flc frame is also presented at the end of paper.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The paper investigates some special Smarandache curves according to Flc-frame in Euclidean 3-space.
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Key Findings & Data:The Frenet and Flc frame vectors, curvature and torsion of the new constructed curves are expressed by means of the initial curve invariants.
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Conclusion & Impact:For the sake of comparison in view, an example for Smarandache curves according to both Frenet and Flc frame is also presented at the end of paper.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Flc-frame · natural curvatures · polynomial curves

Abstract

The paper investigates some special Smarandache curves according to Flc-frame in Euclidean 3-space. The Frenet and Flc frame vectors, curvature and torsion of the new constructed curves are expressed by means of the initial curve invariants. For the sake of comparison in view, an example for Smarandache curves according to both Frenet and Flc frame is also presented at the end of paper.

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Cite This Article

Şenyurt, S., Ayvacı, K. H., Canlı, D. (2023). Smarandache Curves According to Flc-frame in Euclidean 3-space. Fundamentals of Contemporary Mathematical Sciences, Volume: 4 Issue: 1. https://doi.org/10.54974/fcmathsci.1142404

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