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Robin P. Clark 2013-02-07 10:26:18 +00:00
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submission_thesis/CH6_Evaluation/copy.tex
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@ -173,10 +173,11 @@ state $$ \forall FG \in \mathcal{FG} | FG \subset \mathcal{G} .$$
FMMD analysis creates a hierarchy $H$ of {\fgs} where $H \subset \mathcal{FG}$. 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}) --- 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}).
to identify the hierarchy. %---
%o identify the hierarchy.
For instance the first {\fg} in a hierarchy, containing base components only 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 %Equation~\ref{eqn:rd} can also be expressed as
% %