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Chapter 2 Lagrange’s and Hamilton’s Equations
www.physics.rutgers.edu38 CHAPTER 2. LAGRANGE’S AND HAMILTON’S EQUATIONS On the other hand, the chain rule also tells us @L @x i = X j @L @q j @q j @x i + X j @L @q_ j @q_ j @x i; where the last term does not necessarily vanish, as _q j in general depends on both the coordinates and velocities.