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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order ( r -1) at every instant t .
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, a matrix which is similar to Hamilton operators has been developed for split-octonions in eight dimensional semi-Euclidean space and a new motion has been defined by this matrix.
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Key Findings & Data:It is shown that this is a homothetic motion.
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Conclusion & Impact:Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order ( r -1) at every instant t .
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Hamilton Operator · split octonion.
Abstract
In this paper, a matrix which is similar to Hamilton operators has been developed for split-octonions in eight dimensional semi-Euclidean space and a new motion has been defined by this matrix. It is shown that this is a homothetic motion. Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order ( r -1) at every instant t .
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Cite This Article
Jafari, M. (2015). Homothetic Motions at with Split Octonions. Gazi University Journal of Science, Volume: 28 Issue: 4. https://ajindex.com/articles/1269568