From d27bbcfdf5ba5976a6a209c1f89e7cf81c51d794 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Wed, 23 Nov 2011 09:41:41 +0000 Subject: [PATCH] . --- opamp_circuits_C_GARRETT/opamps.tex | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/opamp_circuits_C_GARRETT/opamps.tex b/opamp_circuits_C_GARRETT/opamps.tex index 3a62cfe..aefe025 100644 --- a/opamp_circuits_C_GARRETT/opamps.tex +++ b/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