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Dergiler / Turkish Journal of Mathematics and Computer Science / 2023 / Volume: 15 Issue: 2

On Polynomial Space Curves with Flc-frame

Mustafa Dede(KILIS 7 ARALIK UNIVERSITY)0000-0003-2652-637X
Sayfa
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Yayın Tarihi
2023-12-31
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we explore some basic concepts regarding polynomial space curves from point of view of Flc-frame in three dimensional Euclidean space.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The first and second derivatives of a curve provide us fundamental information in the study of the behavior of curve near a point.
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Temel Bulgular & Veri:However, if a curve is a polynomial space curve of degree n, we don’t know what is the geometric meaning of the n-th derivative of the curve?
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Sonuç & Katkı:Moreover, we explore some basic concepts regarding polynomial space curves from point of view of Flc-frame in three dimensional Euclidean space.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Frenet frame · space curve · adapted frame

Abstract

The first and second derivatives of a curve provide us fundamental information in the study of the behavior of curve near a point. However, if a curve is a polynomial space curve of degree n, we don’t know what is the geometric meaning of the n-th derivative of the curve? There is no doubt that the Frenet frame is not suitable for this purpose because it is constructed by using first and second derivatives of a curve. On the other hand, in this paper by using a new frame called as Flc-frame we are able to give the geometric meaning of the n-th derivative of a curve. Moreover, we explore some basic concepts regarding polynomial space curves from point of view of Flc-frame in three dimensional Euclidean space.

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Bu Makaleye Atıf Yap

Dede, M. (2023). On Polynomial Space Curves with Flc-frame. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 2. https://doi.org/10.47000/tjmcs.1127766

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Kaynakça (14)

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