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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.
📌 3 Key Takeaways
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Objective & Hypothesis:Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963).
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Key Findings & Data:Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963).
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Conclusion & Impact:We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Geometric kinematics · instantaneous invariants · Lie algebra
Abstract
Roth and Bottema obtain the instantaneous properties of a plane motion and its inverse motion by the instantaneous invariants depending on a canonical frame which was introduced in Veldkamp's dissertation(1963). We obtain the instantaneous invariants depending on the same frame by using Lie algebra of the plane motion.
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Cite This Article
KARAKILIÇ, İ., AYKUT, D. B. (2023). Lie Algebra Contributions to Instantaneous Plane Kinematics. Ikonion Journal of Mathematics, Cilt: 5 Sayı: 1, 62–67. https://ajindex.com/articles/959504