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Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2017 / Cilt: 21 - Sayı: 3

A Study On Geometry of Spatial Kinematics in Lorentzian Space

Lorentz Uzayında Uzaysal Kinematiklerin Geometrisi Üzerine Bir Çalı¸sma

Tunahan TURHAN
Nihat AYYILDIZ
Pages
808–811
Publication Date
2022-10-17
DOI
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AI Summary & Key Takeaways

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

Then, Study’s soma is developed and used to define the mapping of spatial kinematics into points of a dual Lorentzian projective space.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study geometry of mappings of spatial kinematics in Lorentzian space with the aid of dual number and split quaternion.
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Key Findings & Data:Also, we give orthogonal rotation matrix A with respect to the Lorentzian Rodrigues parameters and the Lorentzian Euler parameters in such a space.
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Conclusion & Impact:Then, Study’s soma is developed and used to define the mapping of spatial kinematics into points of a dual Lorentzian projective space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we study geometry of mappings of spatial kinematics in Lorentzian space with the aid of dual number and split quaternion. Also, we give orthogonal rotation matrix A with respect to the Lorentzian Rodrigues parameters and the Lorentzian Euler parameters in such a space. Then, Study’s soma is developed and used to define the mapping of spatial kinematics into points of a dual Lorentzian projective space.

Özet

Bu çalışmada, dual sayı ve split kuaterniyon yardımıyla Lorentz uzayında uzaysal kinematiklerin dönüşümlerinin geometrisi ele alınmıştır. Ayrıca, bu uzayda bir A ortogonal dönüşüm matrisi, Lorentziyen Rodrigues ve Euler parametrelerine göre verilmiştir. Son olarak, Study’nin "soma" olarak isimlendirdigi dönüşüm uzayı geliştirilmiş ve bu yapı ˘ bir dual Lorentz projektif uzayın noktaları içinde uzaysal kinematiklerin dönüşümünü tanımlamak için kullanılmıştır.

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Cite This Article

TURHAN, T., AYYILDIZ, N. (2022). A Study On Geometry of Spatial Kinematics in Lorentzian Space. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 21 - Sayı: 3, 808–811. https://ajindex.com/articles/594009

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