Equation 18.28.69FFF9581DFDD2

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