| 1. | Where is time, and each overdot denotes one time derivative.
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| 2. | (each dot over a quantity indicates one time derivative ).
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| 3. | The time derivative of the displacement vector is the velocity vector.
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| 4. | Classical mechanics retains Newton's dot notation for time derivatives.
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| 5. | The time derivative of an integral over a volume is defined as
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| 6. | Traditionally, algebraic formulae determine time derivatives of the coarse model.
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| 7. | It should not be confused with the time derivative of the entropy.
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| 8. | The partial time derivatives suggest using two of Maxwell's Equations.
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| 9. | The steady state response is with all time derivatives set to zero.
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| 10. | So, the formulation in terms of time derivatives is more elegant.
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