Adoccupancy and self-consistency

In order to evaluate the energies aa (4.34) and ma (4.52), it is necessary to know the adoccupancy, which is given by 

Returning to (4.76), we see that the right-hand side depends on eaa, which in turn is a function of (na-a) (4.34). We can express this dependence via the self-consistent equations 

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