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$TRADSRA{T}_{\gamma ,c-1}={\mathbf{𝐓}\mathbf{𝐑}\mathbf{𝐀}\mathbf{𝐃}\mathbf{𝐒}\mathbf{𝐑}\mathbf{𝐀}\mathbf{𝐓}}_{\gamma ,c-1}^{t-1}*\frac{AnalFunc(GDPPC{P}_{\gamma })}{AnalFunc(GDPPC{P}_{\gamma }^{t-1})}+{\mathbf{𝐂}\mathbf{𝐮}\mathbf{𝐥}\mathbf{𝐭}\mathbf{𝐒}\mathbf{𝐡}\mathbf{𝐓}\mathbf{𝐒}}_{\gamma -cultural}^t+{\mathbf{𝐭}\mathbf{𝐫}\mathbf{𝐚}\mathbf{𝐝}\mathbf{𝐬}\mathbf{𝐫}\mathbf{𝐚}\mathbf{𝐭}\mathbf{𝐚}\mathbf{𝐝}\mathbf{𝐝}}_{\gamma }^t$

where

<math>\mathbf{CultShTS^t_{\gamma-cultural}=F(\mathbf{TRADSRAT}^{t-1}_{\gamma,c-1},AnalFunc(GDPPCP^{t-1}_{\gamma})