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Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 9 - Sayı: 9

Differential Equations for a Space Curve According to The Unit Darboux Vector

Süleyman Şenyurt
Osman Çakır
Pages
91–97
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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

Later, the necessary and sufficient conditions are given for the space curves to be a 1-type Darbouxvector.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the differential equation of a differentiable curve is expressed, by making use of Laplaceand normal Laplace operators, as a linear combination of the unit Darboux vector defined as C = sinϕT + cosϕBof that curve.
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Key Findings & Data:In this work, the differential equation of a differentiable curve is expressed, by making use of Laplaceand normal Laplace operators, as a linear combination of the unit Darboux vector defined as C = sinϕT + cosϕBof that curve.
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Conclusion & Impact:Later, the necessary and sufficient conditions are given for the space curves to be a 1-type Darbouxvector.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, the differential equation of a differentiable curve is expressed, by making use of Laplaceand normal Laplace operators, as a linear combination of the unit Darboux vector defined as C = sinϕT + cosϕBof that curve. Later, the necessary and sufficient conditions are given for the space curves to be a 1-type Darbouxvector.

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Cite This Article

Şenyurt, S., Çakır, O. (2022). Differential Equations for a Space Curve According to The Unit Darboux Vector. Turkish Journal of Mathematics and Computer Science, Cilt: 9 - Sayı: 9, 91–97. https://ajindex.com/articles/609152

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References (9)

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