diff --git a/Manuscript/eDFT.tex b/Manuscript/eDFT.tex
index 77b5984..eeebb47 100644
--- a/Manuscript/eDFT.tex
+++ b/Manuscript/eDFT.tex
@@ -235,7 +235,7 @@ In Eq.~\eqref{eq:F}, $\hHc$ is the core Hamiltonian (including kinetic and elect
 	(\mu\nu|\la\si) = \iint  \frac{\AO\mu(\br_1) \AO\nu(\br_1) \AO\la(\br_2) \AO\si(\br_2)}{\abs{\br_1 - \br_2}} d\br_1 d\br_2
 \end{equation}
 are two-electron repulsion integrals,
-$\bE{Hxc}{\bw}[\n{}{}(\br)] = \n{}{}(\br) \be{Hxc}{\bw}[\n{}{}(\br)]$ and $\be{Hxc}{\bw}[\n{}{}(\br)]$ is the weight-dependent correlation functional to be built in the present study.
+$\bE{Hxc}{\bw}[\n{}{}(\br)] = \n{}{}(\br) \be{Hxc}{\bw}[\n{}{}(\br)]$ and $\be{Hxc}{\bw}[\n{}{}(\br)]$ is the weight-dependent Hartree-exchange-correlation functional to be built in the present study.
 The one-electron ensemble density is
 \begin{equation}
 	\n{}{\bw}(\br) = \sum_{\mu\nu} \AO{\mu}(\br) \, \eGamma{\mu\nu}{\bw} \, \AO{\nu}(\br),
@@ -266,15 +266,15 @@ Following Deur and Fromager, \cite{Deur_2018b} it is possible to extract individ
 			+ \LZ{Hxc}{} + \DD{Hxc}{(I)}.
 \end{multline}
 Note that a \emph{single} KS-eDFT calculation is required to extract the three individual energies.
-The correlation part of the (state-independent) Levy-Zahariev shift and the so-called derivative discontinuity are given by
+\alert{Mention LIM?}
+The (state-independent) Levy-Zahariev shift and the so-called derivative discontinuity are given by
 \begin{align}
 	\LZ{Hxc}{} 	& =  - \int \left. \fdv{\be{Hxc}{\bw}[\n{}{}]}{\n{}{}(\br)} \right|_{\n{}{} = \n{}{\bw}(\br)} \n{}{\bw}(\br)^2 d\br,
 	\\
 	\DD{Hxc}{(I)} & = \sum_{J>0} (\delta_{IJ} - \ew{J}) \int  \left. \pdv{\be{Hxc}{\bw}[\n{}{}]}{\ew{J}}\right|_{\n{}{} = \n{}{\bw}(\br)} \n{}{\bw}(\br) d\br.
 \end{align}
 Because the Levy-Zahariev shift is state independent, it does not contribute to excitation energies [see Eq.~\eqref{eq:Ex}].
-The only remaining piece of information to define at this stage is the weight-dependent correlation functional $\be{Hxc}{\bw}(\n{}{})$.
-\alert{Mention LIM?}
+The only remaining piece of information to define at this stage is the weight-dependent Hartree-exchange-correlation functional $\be{Hxc}{\bw}(\n{}{})$.
 
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 \section{Density-functional approximations for ensembles}