<documents_info>Lagrange's Equations of Motion,Hamilton's Principle and its Applications,Conservation Laws in Lagrangian Mechanics,The Hamiltonian Formulation of Mechanics,Applications of Hamiltonian Mechanics to Celestial Mechanics,Noether's Theorem and Symmetries in Mechanics" </documents_info>
<query>What are the conserved quantities in Lagrangian Mechanics, and how are they related to symmetries in the system?</query>
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<documents_info>Lagrange's Equations of Motion,Hamilton's Principle and its Applications,Conservation Laws in Lagrangian Mechanics,The Hamiltonian Formulation of Mechanics,Applications of Hamiltonian Mechanics to Celestial Mechanics,Noether's Theorem and Symmetries in Mechanics" </documents_info>
<query>What are the conserved quantities in Lagrangian Mechanics, and how are they related to symmetries in the system?</query>
user
Chunk
assistant
<query>What are the conserved quantities in Lagrangian Mechanics, and how are they related to symmetries in the system?</query>
<documents_info>Lagrange's Equations of Motion,Hamilton's Principle and its Applications,Conservation Laws in Lagrangian Mechanics,The Hamiltonian Formulation of Mechanics,Applications of Hamiltonian Mechanics to Celestial Mechanics,Noether's Theorem and Symmetries in Mechanics" </documents_info>