.

fmmd_concept/fmmd_concept.tex

@@ -167,7 +167,7 @@ decide which interactions are important.
 Let N be the number of components in our system, and K be the average number of component failure modes
 (ways in which the component can fail). The total number of base component failure modes
 is $N \times K$. To even examine the affect that one failure mode has on all the other components
-will be $$(N-1) \times N \times K$$, in effect a set cross product.
+will be $(N-1) \times N \times K$, in effect a set cross product.
 
 
 Complicate this further with applied states or environmental conditions
@@ -179,17 +179,17 @@ failure mode behaviour for say, differnet ambient pressures or temperatures.
 
 If $E$ is the number of applied states or environmental conditions to consider
 in a system, the job of the bottom-up analyst is complicated by a cross product factor again 
-$$(N-1) \times N \times K \times E$$.
+$(N-1) \times N \times K \times E$.
 
 If we were to consider multiple simultaneous failure modes
 we have yet another complication cross product.
 
 For instance for looking at double simultaneous failure modes 
-the equation reads $$(N-2) \times (N-1) \times N \times K \times E$$.
+the equation reads $(N-2) \times (N-1) \times N \times K \times E$.
 
 The bottom-up methodologies FMEA, FMECA and FMEDA take single failure modes and link them
-to SYSTEM level failure modes. Because of the number of possible interactions that
-must be missed, we can term this analysis a `leap of faith' from the 
+to SYSTEM level failure modes. Because of the astronomical number of possible interactions,
+some valid ones are in danger of being missed, we can term this analysis a `leap of faith' from the 
 component failure mode to the SYSTEM level.