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\begin{eqnarray*} \mbox{Corr}(\alpha _{i_1} , \alpha _{i_1}^{\prime }) & = & \rho _{\alpha } \\[0.05in] \mbox{Corr}(\beta _{i_1 i_2}, \beta _{i_1 i_2}^{\prime }) & = & \rho _{\beta } \\[0.05in]& \vdots & \\[0.05in] \mbox{Corr}(\epsilon _{i_1 i_2 \cdots i_ n r}, \epsilon _{i_1 i_2 \cdots i_ n r}^{\prime }) & = & \rho _{\epsilon } \\ \end{eqnarray*}
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