.

submission_thesis/CH6_Evaluation/copy.tex

@@ -173,10 +173,11 @@ state $$ \forall FG \in \mathcal{FG} | FG \subset \mathcal{G} .$$
 
 FMMD analysis creates a hierarchy $H$ of {\fgs} where $H \subset \mathcal{FG}$.
 %
-We can define individual {\fgs} using $FG^{\alpha}_{i}$ with an index, $i$ for identification and a superscript --- i.e. the $\alpha$~level (see section~\ref{sec:alpha}) ---
-to identify the hierarchy. 
+We can define individual {\fgs} using $FG^{\alpha}_{i}$ with an index, $i$ for identification and a superscript for  the $\alpha$~level (see section~\ref{sec:alpha}).
+%---
+%o identify the hierarchy. 
 For instance the first {\fg} in a hierarchy, containing base components only
-i.e. at the zeroth level of an FMMD hierarchy, would have the superscript 0 and a subscript of 1, i.e. $FG^{0}_{1}$.
+i.e. at the zeroth level of an FMMD hierarchy where $\alpha=0$, would have the superscript 0 and a subscript of 1: $FG^{0}_{1}$.
 %$$
 %Equation~\ref{eqn:rd} can also be expressed as
 %