Sandbox

$ASARAWDMAT_{\gamma ,\alpha }={\frac {ASARAW_{\gamma ,\alpha }^{t}-ASARAW_{\gamma ,\alpha }^{t-1}}{ASARAW_{\gamma ,\alpha }^{t-1}}}$

$ASAGDPDMAT_{\gamma ,\alpha }={\frac {ASAGDP_{\gamma ,\alpha }^{t}-ASAGDP_{\gamma ,\alpha }^{t-1}}{ASAGDP_{\gamma ,\alpha }^{t-1}}}$

<math>ASAPOPDMAT_{\gamma,\alpha}=\frac{ASAPOPDMAT^t_{\gamma,\alpha}-ASAPOPDMAT^{t-1}_{\gamma,\alpha}}{ASAPOPDMAT^{t-1}{\gamma,\alpha}}