How does Lagrange Mechanics work in coordinate space?

AI Thread Summary
Lagrange mechanics operates in coordinate space, where trajectories are defined by the least action principle. Leonard Susskind's discussion emphasizes that knowing two points allows for the determination of a trajectory within this framework. The reference to phase space relates to a broader context but the specific diagram mentioned pertains to coordinate systems (x, y, z, t). Understanding these concepts is crucial for grasping the mechanics involved. The focus remains on the application of Lagrange mechanics in a coordinate framework.
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I want to know lagrange mechanics work in phase space or in coordinate system.Leonard Susskind talked about the least action and he said If we know two point we can define trajectory but I don't know the diagram that he drow its a phase space or coordinate system (x,y,z,t)
19 min or something else

thanks
 
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That's the coordinate space.
 
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