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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 Sayı: ÖZEL SAYI I Özel Sayı

A Research on the Spherical Indicatrices of Directional Space Curve

Yönlü Uzay Eğrisinin Küresel Göstergeleri Üzerine Bir Çalışma

Gül Uğur Kaymanlı(CANKIRI KARATEKIN UNIVERSITY)0000-0003-4932-894X
Cumali Ekici(ESKISEHIR OSMANGAZI UNIVERSITY)0000-0002-3247-5727
Mustafa Dede(KILIS 7 ARALIK UNIVERSITY)0000-0003-2652-637X
Pages
33–39
Publication Date
2020-02-28
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AI Summary & Key Takeaways

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

Finally, we give an application of the results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give a parametrization of a directional space curve by using adapted frame called q-frame..
📊
Key Findings & Data:The spherical images of both directional normal indicatrix and directional tangent indicatrix of this space curve with q-frame are studied.
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Conclusion & Impact:Finally, we give an application of the results.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:q-çatı · Slant helis · Küresel gösterge

Abstract

In this paper, we give a parametrization of a directional space curve by using adapted frame called q-frame.. The spherical images of both directional normal indicatrix and directional tangent indicatrix of this space curve with q-frame are studied. Later using the geodesic curvature of the spherical image of the directional normal indicatrices, we work on the condition that a space curve to be slant helix. Finally, we give an application of the results.

Özet

Bu çalışmada, q-çatı olarak adlandırılan adapte edilmiş çatı kullanılarak yönlü uzay eğrisinin parametrik denklemini verdik. q-çatılı bu uzay eğrisinin Yönlü normaller ve teğetler göstergesinin küresel resimleri çalışıldı. Sonrasında yönlü normaller göstergelerinin küresel resminin jeodezik eğriliği kullanılarak uzay eğrisinin slant helis olma şartını çalıştık. Son olarakta, elde edilen sonuçların uygulaması verdik.

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Cite This Article

Kaymanlı, G. U., Ekici, C., Dede, M., *, G. U. K. (2020). A Research on the Spherical Indicatrices of Directional Space Curve. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 Sayı: ÖZEL SAYI I Özel Sayı, 33–39. https://doi.org/10.18185/erzifbed.599336

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References (18)

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