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Journals / Fırat Üniversitesi Mühendislik Bilimleri Dergisi / 2021 / Cilt: 33 - Sayı: 2

The Inextensible Flows of Null Curves in the Lightlike Cone $mathbb{Q}^2_3subset{E}^4_2$

$mathbb{Q}^2_3subset{E}^4_2$ Lightlike Koni 3-Uzayında Null Eğrilerin Elastik Olmayan Akış (Inextensible Flow) Eğrileri

Fatma ALMAZ
Mihriban ALYAMAÇ KÜLAHCI
Pages
667–673
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

In this study, the inextensible flows of a null x: I → $mathbb{Q}^2_3subset{E}^4_2$ curve expressed using the natural Frenet framework in the 4-dimensional lightlike cone space $mathbb{Q}^2_3subset{E}^4_2$ with 2 index are given some mathematical characterizations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A curve or surface flow is called inextensible if arc length and curvature are preserved.
📊
Key Findings & Data:In a physical sense, inextensible flows and surface flows are characterized by the absence of any strain energy.
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Conclusion & Impact:In this study, the inextensible flows of a null x: I → $mathbb{Q}^2_3subset{E}^4_2$ curve expressed using the natural Frenet framework in the 4-dimensional lightlike cone space $mathbb{Q}^2_3subset{E}^4_2$ with 2 index are given some mathematical characterizations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

A curve or surface flow is called inextensible if arc length and curvature are preserved. In a physical sense, inextensible flows and surface flows are characterized by the absence of any strain energy. In this study, the inextensible flows of a null x: I → $mathbb{Q}^2_3subset{E}^4_2$ curve expressed using the natural Frenet framework in the 4-dimensional lightlike cone space $mathbb{Q}^2_3subset{E}^4_2$ with 2 index are given some mathematical characterizations.

Özet

Bir eğri veya yüzey akışı eğer yay uzunluğu ve eğrilik korunursa uzatılamaz olarak adlandırılır. Fiziksel anlamda, elastik olmayan eğri(inextensible flows) ve yüzey akışları herhangi bir gerilme enerjisinin yokluğu ile karakterize edilir. Bu çalışmada 2 ideksli 4 boyutlu $mathbb{Q}^2_3subset{E}^4_2$ lightlike koni uzayında doğal Frenet çatısı kullanılarak ifade edilen bir null 𝑥: 𝐼 → $mathbb{Q}^2_3subset{E}^4_2$ eğrisinin elastik olmayan akışı(inextensible flows) ifade edilerek matematiksel açıdan bazı karakterizasyonları verilmiştir.

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Cite This Article

ALMAZ, F., KÜLAHCI, M. A. (2022). The Inextensible Flows of Null Curves in the Lightlike Cone $mathbb{Q}^2_3subset{E}^4_2$. Fırat Üniversitesi Mühendislik Bilimleri Dergisi, Cilt: 33 - Sayı: 2, 667–673. https://ajindex.com/articles/514063

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