\begin{equation}
\label{TotalCoaRate}
\frac{\gamma}{4\alpha} \sum_{\substack{i,j\in \mathcal{I}_t\\j\neq i}}dL^{(i,j)}_t\;=\;\frac{\gamma}{2\alpha} \sum_{\substack{{\rm unordered \;pair }\\\{i,j\} \,{\rm in } \;\mathcal{I}_t}}dL^{(i,j)}_t.
\end{equation}
