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$W O R L D I M E M = \frac{S U M I M + S U M E X}{2}$

if $M I G R A T E_{r} > 0$ then $M I G R A N T S_{r} = \frac{M I G R A T E_{r} * P O P_{r} * W O R L D I M E M}{S U M I M}$

if $M I G R A T E_{r} \leq 0$ then <math>MIGRANTS_{r}=\frac{MIGRATE_{r}*POP_{r}*WORLDIMEM}{SUMEM}

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