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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2019 / Cilt: 19 - Sayı: 3

Some Characterizations for Involute-Evolute Curve Couples with Constant Curvatures in Minkowski Space

Minkowski Uzayında Sabit Eğrilikli İnvolüt-Evolüt Eğri Çiftleri için Bazı Karakterizasyonlar

Ayşe YAVUZ
Melek ERDOĞDU
Pages
605–614
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

The findings were supported with visualized samples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the characterization of position vectors belonging to Involute - Evolute curve pairs with constant curvature in Minkowski space are obtained depending on differentiable functions.
📊
Key Findings & Data:The curve couples are investigated according to the characteristics of Frenet vector fields in Minkowski space, separately.
💡
Conclusion & Impact:The findings were supported with visualized samples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the characterization of position vectors belonging to Involute - Evolute curve pairs with constant curvature in Minkowski space are obtained depending on differentiable functions. The curve couples are investigated according to the characteristics of Frenet vector fields in Minkowski space, separately. At the same time, some conclusions about these pairs of curves were obtained. The findings were supported with visualized samples.

Özet

Bu çalışmada, Minkowski uzayında sabit eğrilikli İnvolüt – Evolüt eğri çiftlerine ait pozisyon vektörlerinin karakterizasyonları diferansiyellenebilir fonksiyonlara bağlı olarak elde edilmiştir. Eğri çiftleri Frenet vektör alanlarının Minkowski uzayında sahip olduğu karakterlere göre ayrı ayrı ele alınmıştır. Aynı zamanda bu eğri çiftleri ile ilgili bazı sonuçlar ortaya çıkarılmıştır. Elde edilen bulgular görselleştirilmiş örnekler ile desteklenmiştir.

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Cite This Article

YAVUZ, A., ERDOĞDU, M. (2022). Some Characterizations for Involute-Evolute Curve Couples with Constant Curvatures in Minkowski Space. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 19 - Sayı: 3, 605–614. https://ajindex.com/articles/429848

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