diff --git a/symptom_ex_process/process.tex b/symptom_ex_process/process.tex index e34694e..77388ad 100644 --- a/symptom_ex_process/process.tex +++ b/symptom_ex_process/process.tex @@ -109,7 +109,6 @@ for each test case. \pagebreak[1] \section{A theoretical `Derived Component' example} - Consider a functional group $FG$ with components $C_1$, $C_2$ and $C_3$. $$ FG = \{ C_1 , C_2 , C_3 \} $$ @@ -178,6 +177,7 @@ This can be seen as all the failure modes that can affect the failure mode group \subsection{Analysis of the functional group failure modes} +\label{theoreticalsx} For this example we shall consider single failure modes. %For each of the failure modes from $fm(FG)$ we shall %create a test case ($g_i$). Next each test case is examined/analysed @@ -286,9 +286,13 @@ Where $\mathcal{FG}$ is the set of all sets of functional groups, and $\mathcal{ is the set of all derived components, we can define the symptom abstraction process thus: $$ %\bowtie : SubSystemComponentFaultModes \rightarrow DerivedComponent -\bowtie : \mathcal{FG} \rightarrow \mathcal{DC} +\bowtie : \mathcal{FG} \rightarrow \mathcal{DC} . $$ +Given by +$ \bowtie ( FG ) = DC $ +as per the example in preceeding section \ref{theoreticalsx}. + \paragraph{Extending $\bowtie$ to {\dcs}} It is useful to further define the $\bowtie$ function, to