Meeting with Andrew and John

equations made general for the
reasoning distance w=hich will now be called
comparison complexity

opamp_circuits_C_GARRETT/opamps.tex

@@ -660,7 +660,7 @@ it was derived from.
 We can stipulate that symptom collection process is surjective.
 % i.e. $ \forall f in F $ 
 By stipulating surjection for symptom collection, we ensure
-that each component failure mode maps to at least one one symptom.
+that each component failure mode maps to at least one symptom.
 We also ensure that all symptoms have at least one component failure
 mode (i.e. one or more failure modes that caused it).
 %
@@ -670,13 +670,14 @@ mode (i.e. one or more failure modes that caused it).
 By applying stages of analysis to higher and higher abstraction
 levels, we can converge to a complete failure mode model of the system under analysis.
 Because the symptom abstraction process is defined as surjective (from component failure modes to symptoms)
-the number of symptoms is guaranteed to the less than or equal to
+the number of symptoms is guaranteed to be less than or equal to
 the number of component failure modes.
 
 In practise however, the number of symptoms greatly reduces as we traverse
 up the hierarchy.
-This is a natural process. When we have a complicated systems
-they always have a small number of system failure modes.
+This is a natural process. When we have complicated systems
+they always have a small number of system failure modes in comparison to
+the number of failure modes in its sub-systems/components..
 
 \clearpage
 \section{Side Effects: A Problem for FMMD analysis}
@@ -896,7 +897,9 @@ $RD(fg) = \sum_{n=1}^{27} |3|.(|27|-1) = 2106$.
 
 In order to get general equations with which to compare RFMEA with FMMD
 we can re-write equation~\ref{eqn:rd} in terms of the number of levels 
-in an FMMD hierarchy. The number of components in is number of components
+in an FMMD hierarchy. 
+%
+The number of components in the system, is number of components
 in a {\fg} raised to the power of the level plus one.
 Thus we re-write equation~\ref{eqn:rd} as: