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For the models derived as approximations, this means that the final approximation, though preceding steps in the derivation, should also be given in order to document the process.
The principles used in the preceding derivation are still valid, and we can deduce that the magnetic field is now given by Equation (9): 1 (9) and the evolution of the magnetization, still considering independent spins 1/2, is obtained by inserting the new expression of into Equation (8), to yield Equations (10) and (11): (10) (11) where straightforward extensions of the notations were used.
What action preceded the urge?
Reception precedes the presentation.
The sound usually precedes the picture.
Consider the world that preceded the United Nations.
But had the scream preceded the shot?
A long, uncertain silence preceded the message.
The catalog actually preceded the stores.
A wine reception precedes the concert.
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