To interpret the obtained Lagrangian energy equations and to understand the significance of the time parameter, an example is also provided in our study.
📌 3 Key Takeaways
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Objective & Hypothesis:Minkowski 3-space is important because it is the spatial structure in which physical events occur.
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Key Findings & Data:Therefore, in this study, we examined the time-dependent Lagrangian energy equations in Minkowski 3-space.
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Conclusion & Impact:To interpret the obtained Lagrangian energy equations and to understand the significance of the time parameter, an example is also provided in our study.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:jet bundles · minkowski space · lagrange energy equations
Abstract
Minkowski 3-space is important because it is the spatial structure in which physical events occur. Therefore, in this study, we examined the time-dependent Lagrangian energy equations in Minkowski 3-space. To facilitate the examination of the necessary mechanical structure and solutions with respect to time, we employed the jet bundle structure. This approach has made the creation of the necessary geometric structures more comprehensible in terms of coordinate basis. To interpret the obtained Lagrangian energy equations and to understand the significance of the time parameter, an example is also provided in our study.
Aycan, C., Atmaca, S. P., Koç, H. N. (2024). A PHYSICAL APPROACH TO LAGRANGIAN EQUATIONS WITH BUNDLE STRUCTURE FOR MINKOWSKI 3-SPACE. Journal of Universal Mathematics, Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" Özel Sayı, 146–157. https://doi.org/10.33773/jum.1560371
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C.Aycan, The LIfts of Euler-Lgrange and Hamiltonian Equations on the Extended Jet Bundles, D. Sc. Thesis, Osmangazi Univ., Eskisehir, (2003).