.

opamp_circuits_C_GARRETT/opamps.tex

@@ -1145,9 +1145,14 @@ An FMMD Hierarchy will have reducing numbers of functional groups as we progress
 In order to calculate its comparison~complexity we need to apply equation~\ref{eqn:CC} to
 all {\fgs} on each level.
 
-We define a helper function $g$ that takes a level $\xi$ in an FMMD hierarchy $H$, and returns all the {\fgs} on that level,
+We define a helper function $g$ with a domain of the level $i$ in an FMMD hierarchy $H$, and a co-domain of a set of {\fgs} (specifically all the {\fgs} on the given level),
 defined by 
-$$g(H, i) \rightarrow \forall {\FG}^{\xi} \;where\; ({\xi} = {i}) \wedge ({\FG}^{\xi} \in H) .$$
+
+\begin{equation}
+%$$
+g(H, i) \rightarrow \forall {\FG}^{\xi} \;where\; ({\xi} = {i}) \wedge ({\FG}^{\xi} \in H) .
+%$$
+\end{equation}
 
 Where $L$ represents the number of levels in the FMMD hierarchy,
 $|g(\xi)|$ represents the number of functional groups on the level