\begin{equation}
\label{eq:consensus_sampling}
    \mathbf{S}_{c}^{(t_{d})} = \{s \in \mathbb{R}^{n} : \max_{i \notin C^{(t_{d})}} s_{i} < \min_{i \in C^{(t_{d})}} s_{i},\ \forall s \in \mathbf{S}_{c} \mbox{ with } i \in [1, n]\}.
\end{equation}
