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Journals / Anadolu Üniversitesi Fen Fakültesi Dergisi / 2001 / Cilt: 0 - Sayı: 5

Quaternion's algebra and a view to quaternion' s matrix representations

Kuaternion cebri ve kuaternionların matris temsillerine bir bakış

Süleyman DEMİR
Kudret ÖZDAŞ
Pages
45–59
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

Then, the matrix representations of quaternions have been showed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper; after general definition of quaternions, quaternions algebra and quaternions-vectors relations have been investigated and many useful identities pertaining to quaternions multiplications have been generalized.
📊
Key Findings & Data:In this paper; after general definition of quaternions, quaternions algebra and quaternions-vectors relations have been investigated and many useful identities pertaining to quaternions multiplications have been generalized.
💡
Conclusion & Impact:Then, the matrix representations of quaternions have been showed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper; after general definition of quaternions, quaternions algebra and quaternions-vectors relations have been investigated and many useful identities pertaining to quaternions multiplications have been generalized. Then, the matrix representations of quaternions have been showed.

Özet

Bu çalışmada kuaternionların genel tanımı yapıldıktan sonra kuaternion-vektör ilişkisi incelenmiş ve kuaternion çarpımına ilişkin birçok yararlı eşitlik tanımlanmıştır. Daha sonra, kuaternionların matrislerle temsili gösterilmiştir.

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Cite This Article

DEMİR, S., ÖZDAŞ, K. (2022). Quaternion's algebra and a view to quaternion' s matrix representations. Anadolu Üniversitesi Fen Fakültesi Dergisi, Cilt: 0 - Sayı: 5, 45–59. https://ajindex.com/articles/438630

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