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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we introduce the adapted frame of framed curves and we give the relations between the adapted frame and Frenet type frame of the framed curve in four-dimensional Euclidean space.
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Temel Bulgular & Veri:Moreover, we define the framed normal curves in four-dimensional Euclidean space.
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Sonuç & Katkı:Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Framed curves · Normal curves · Singular points
Abstract
In this paper, we introduce the adapted frame of framed curves and we give the relations between the adapted frame and Frenet type frame of the framed curve in four-dimensional Euclidean space. Moreover, we define the framed normal curves in four-dimensional Euclidean space. We obtain some characterizations of framed normal curves in terms of their framed curvature functions. Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
AKYİĞİT, M., YILDIZ, Ö. G. (2021). On the Framed Normal Curves in Euclidean 4-space. Fundamental Journal of Mathematics and Applications, Cilt: 4 Sayı: 4, 258–263. https://ajindex.com/articles/905685