From 649fffd653b094a1d39cb415f007b9b9a5ab306e Mon Sep 17 00:00:00 2001
From: Emmanuel Giner <giner.emmanuel@gmail.com>
Date: Wed, 17 Apr 2019 16:09:57 +0200
Subject: [PATCH] minor modifs

---
 Manuscript/G2-srDFT.tex | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Manuscript/G2-srDFT.tex b/Manuscript/G2-srDFT.tex
index 3ded9e3..f407127 100644
--- a/Manuscript/G2-srDFT.tex
+++ b/Manuscript/G2-srDFT.tex
@@ -298,7 +298,7 @@ coincides with the effective interaction at coalescence, i.e.~$\w{}{\lr,\rsmu{\B
 %\subsection{Short-range correlation functionals}
 %=================================================================
 Once $\rsmu{\Bas}{}(\br{})$ is defined, it can be used within RS-DFT functionals to approximate $\bE{}{\Bas}[\n{}{}]$. 
-As in Ref.~\onlinecite{GinPraFerAssSavTou-JCP-18}, we consider here a specific class of short-range correlation functionals known as ECMD whose general definition reads \cite{TouGorSav-TCA-05}
+As in Ref.~\onlinecite{GinPraFerAssSavTou-JCP-18}, we consider here a specific class of short-range correlation functionals known as \manu{correlation energy with multi determinantal reference (ECMD)} whose general definition reads \cite{TouGorSav-TCA-05}
 \begin{multline}
   \label{eq:ec_md_mu}
   \bE{}{\sr}[\n{}{}(\br{}),\rsmu{}{}] 
@@ -414,7 +414,7 @@ Defining $\n{\modZ}{\FC}$ as the FC (i.e.~valence-only) one-electron density obt
 The most computationally intensive task of the present approach is the evaluation of $\W{\Bas}{}(\br{})$ [see Eq.~\eqref{eq:wcoal}] at each quadrature grid point. 
 Yet embarrassingly parallel, this step scales, in the general case (i.e.~$\wf{}{\Bas}$ is a determinant expansion), as $\Ng \Nb^4$ (where $\Nb$ is the number of basis functions in $\Bas$) but is reduced to $\order*{ \Ng \Ne^2 \Nb^2}$ when $\wf{}{\Bas}$ is a single Slater determinant.  
 As shown in Ref.~\onlinecite{GinPraFerAssSavTou-JCP-18}, this choice for $\wf{}{\Bas}$ already provides, for weakly correlated systems, a quantitative representation of the incompleteness of $\Bas$.
-Hence, unless otherwise stated, we will stick to this choice throughout the current study.
+Hence\trashMG{, unless otherwise stated,} we will stick to this choice throughout the current study.
 In our current implementation, the computational bottleneck is the four-index transformation to get the two-electron integrals in the MO basis which appear in Eqs.~\eqref{eq:n2basis} and \eqref{eq:fbasis}. 
 Nevertheless, this step usually has to be performed for most correlated WFT calculations. 
 Modern integral decomposition techniques (such as density fitting \cite{Whi-JCP-73}) or atomic-orbital-based algorithms could be employed to significantly speed up this step.