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