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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2019 / Cilt: 19 - Sayı: 1

T*N*B*-Smarandache Curves of Involute-Evolute Curves In Minkowski 3-space

3-Boyutlu Minkowski Uzayında İnvolüt-Evolüt Eğrilerinin T*N*B*- Smarandache Eğrileri

Hakan ÖZTÜRK
Özgür BOYACIOĞLU KALKAN
Damla ZEYBEK
Pages
71–78
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Finally, illustrative examples related to the results are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the curvature and the torsion of non-null * * * T N B -Smarandache curve are calculated according to the timelike evolute curve  , when the Frenet vectors of the spacelike involute curve *  are taken as the position vectors where *  spacelike curve be the involute of timelike curve  .
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Key Findings & Data:In this study, the curvature and the torsion of non-null * * * T N B -Smarandache curve are calculated according to the timelike evolute curve  , when the Frenet vectors of the spacelike involute curve *  are taken as the position vectors where *  spacelike curve be the involute of timelike curve  .
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Conclusion & Impact:Finally, illustrative examples related to the results are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the curvature and the torsion of non-null * * * T N B -Smarandache curve are calculated according to the timelike evolute curve  , when the Frenet vectors of the spacelike involute curve *  are taken as the position vectors where *  spacelike curve be the involute of timelike curve  . Finally, illustrative examples related to the results are given.

Özet

Bu çalışmada,* spacelike eğrisi  timelike eğrisinin bir involütü olmak üzere * eğrisinin Frenet vektörleri konum vektörleri olarak alındığında null olmayan * * * T N B -Smarandache eğrisinin eğrilik ve burulması  timelike evolüt eğrisine bağlı olarak hesaplanmıştır. Son olarak, elde edilen sonuçlar ile ilgili örnekler verilmiştir.

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Cite This Article

ÖZTÜRK, H., KALKAN, Ö. B., ZEYBEK, D. (2022). T*N*B*-Smarandache Curves of Involute-Evolute Curves In Minkowski 3-space. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 19 - Sayı: 1, 71–78. https://ajindex.com/articles/429839

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References (12)

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