diff --git a/Manuscript/SRGGW.tex b/Manuscript/SRGGW.tex
index d514b09..24464e0 100644
--- a/Manuscript/SRGGW.tex
+++ b/Manuscript/SRGGW.tex
@@ -302,8 +302,8 @@ where $\boldsymbol{\eta}(s)$, the flow generator, is defined as
 \begin{equation}
   \boldsymbol{\eta}(s) = \dv{\bU(s)}{s}	\bU^\dag(s)	= - \boldsymbol{\eta}^\dag(s).
 \end{equation}
+The flow equation can then be approximately solved by introducing an approximate form of $\boldsymbol{\eta}(s)$.
 
-The flow equation can be approximately solved by introducing an approximate form of $\boldsymbol{\eta}(s)$.
 In this work, we consider Wegner's canonical generator \cite{Wegner_1994}
 \begin{equation}
   \boldsymbol{\eta}^\text{W}(s) = \comm{\bH^\text{d}(s)}{\bH(s)} = \comm{\bH^\text{d}(s)}{\bH^\text{od}(s)},
@@ -414,7 +414,7 @@ Therefore, it is natural to define, within the SRG formalism, the diagonal and o
 \end{align}
 \end{subequations}
 where we omit the $s$ dependence of the matrices for the sake of brevity.
-Then, the aim is to solve, order by order, the flow equation \eqref{eq:flowEquation} knowing that the initial conditions are
+Then, our aim is to solve, order by order, the flow equation \eqref{eq:flowEquation} knowing that the initial conditions are
 \begin{subequations}
 \begin{align}
   \bHd{0}(0) & =   \mqty( \bF & \bO \\ \bO & \bC ),