diff --git a/submission_thesis/CH6_Evaluation/copy.tex b/submission_thesis/CH6_Evaluation/copy.tex index fa1e89a..20a712a 100644 --- a/submission_thesis/CH6_Evaluation/copy.tex +++ b/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 %