Equation 18.28.60D29819040D75

\begin{equation} \lim _{k\to \infty } \left(\mathcal{L}_{k,\varphi }(N^ k_{w,\omega ^ n}) - \mathcal{L}_{k,\varphi }(N^ k_{w',\omega ^ n}) \right)= \mathcal{E}_{\theta ,X}^{\varphi }(w)-\mathcal{E}_{\theta ,X}^{\varphi }(w'). \end{equation}