\ifthenelse {\boolean{paper}} { \paragraph{Failure Mode function $fm$.} We can define a `failure modes' function $fm$ that has a functional group as its range and returns a set of failure modes as its domain. We now use this to determine the failure modes in our functional groups. We can overload this function to take a {\fg} as its range and a set of failure modes (being the failure modes of all the components in the {\fg}) as its domain. } { Using the overloaded function $fm$ from chapter \ref{fmdef} we can determine the failure modes in our functional groups. }