| 31. | It is agreed that time derivatives are taken with respect to the proper time \ tau.
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| 32. | Equations ( ) and ( ) allow us to eliminate the time derivatives of \ theta.
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| 33. | Where " i " times the time derivative is the Hamiltonian operator in quantum mechanics.
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| 34. | Where in this context the overdot denotes a partial time derivative, not a total time derivative.
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| 35. | Where in this context the overdot denotes a partial time derivative, not a total time derivative.
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| 36. | The time derivative of the energy density ( using the product rule for vector dot products ) is
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| 37. | If the rotation matrix is time dependent, then it does not commute with the time derivative.
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| 38. | Consider the time derivative of ( 2 ), which we can compute using the chain rule,
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| 39. | The total time derivative denoted d / d " t " often involves implicit differentiation.
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| 40. | This velocity can be computed by taking the time derivative of the position of the center of mass.
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