Algebraic Construction for Dual Quaternions with GCN

Yıl 2022, Cilt: 11 Sayı: 2, 586 - 593, 30.06.2022

Gülsüm Yeliz Şentürk , Nurten Gürses , Salim Yüce

https://doi.org/10.17798/bitlisfen.1063550

Öz

In this paper, we explain how dual quaternion theory can extend to dual quaternions with generalized complex number (GCN) components. More specifically, we algebraically examine this new type dual quaternion and give several matrix representations both as a dual quaternion and as a GCN.

Anahtar Kelimeler

Generalized complex number, Dual quaternion, Matrix form

Destekleyen Kurum

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Proje Numarası

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Teşekkür

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GCN Katsayılı Dual Kuaterniyonlar için Cebirsel Yapı

Öz

Bu çalışmada, dual kuaterniyon teorisinin genelleştirilmiş kompleks sayı (GCN) katsayılı dual kuaterniyonlara nasıl genişletilebileceğini açıklıyoruz. Daha özel olarak, bu yeni tip dual kuaterniyonun cebirsel olarak incelenmesini ve çeşitli matris temsillerini hem dual kuaterniyon hem de GCN olarak veriyoruz.

Anahtar Kelimeler

Genelleştirilmiş kompleks sayı, Dual kuaterniyon, Matris form

Proje Numarası

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Kaynakça

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