diff --git a/Manuscript/eDFT.tex b/Manuscript/eDFT.tex
index b82a080..60e8107 100644
--- a/Manuscript/eDFT.tex
+++ b/Manuscript/eDFT.tex
@@ -92,7 +92,7 @@
 
 \newcommand{\manu}[1]{{\textcolor{blue}{ Manu: #1 }} }
 \newcommand{\beq}{\begin{eqnarray}}
-\newcommand{\eeq}{\nonumber\end{eqnarray}}
+\newcommand{\eeq}{\end{eqnarray}}
 \newcommand{\bmk}{\bm{\kappa}} % orbital rotation vector
 \newcommand{\bmg}{\bm{\Gamma}} % orbital rotation vector
 \newcommand{\bfx}{\bf{x}}
@@ -322,7 +322,11 @@ Tr}\left[{\bmg}^{(0)}{\bm h}\right]
 E^{(I)}&=&E^{{\bw}}+\sum_{K>0}\left(\delta_{IK}-w^{(K)}\right)\dfrac{\partial E^{{\bw}}}{\partial w^{(K)}}
 \nonumber\\
 &=&
-...+\dfrac{1}{2}\Tr(\bmg^{\bw} \, \bG \, \bmg^{\bw})
+...+\Tr(\bmg^{(I)} \, \bG \, \bmg^{\bw})
+-\dfrac{1}{2}\Tr(\bmg^{\bw} \, \bG \, \bmg^{\bw})+...
+\nonumber\\
+&=&...+
+\Tr\left[\left(\bmg^{(I)}-\dfrac{1}{2}\bmg^{\bw}\right) \, \bG \, \bmg^{\bw}\right]
 +...
 \eeq
 }