From aaf650ef3f29da3bbdb70e235780ce490a44cc79 Mon Sep 17 00:00:00 2001 From: Your Name Date: Tue, 17 Apr 2012 14:31:26 +0100 Subject: [PATCH] lunchtime edit geddit --- papers/software_fmea/software_fmea.tex | 18 +++++++++++++++--- 1 file changed, 15 insertions(+), 3 deletions(-) diff --git a/papers/software_fmea/software_fmea.tex b/papers/software_fmea/software_fmea.tex index 125c80d..e1105a4 100644 --- a/papers/software_fmea/software_fmea.tex +++ b/papers/software_fmea/software_fmea.tex @@ -927,11 +927,23 @@ as a hierarchical diagram, see figure~\ref{fig:hd}. -We can represent the hierarchy in figure~\ref{fig:hd} algebraically, using the $\bowtie$ function -definition nested thus: - +We can represent the hierarchy in figure~\ref{fig:hd} algebraically, using the `$\bowtie$' function +using the groups as intermediate stages: +\begin{eqnarray*} +G_1 = \{R,ADC\} \\ +CMATV = \;\bowtie (G_1) \\ +G_2 = \{CMATV, read\_4\_20\_input \} \\ +RADC = \; \bowtie (G_2) \\ +G_3 = \{ RADC, read\_4\_20\_input \} \\ +R420I = \; \bowtie (G_3) \\ +\end{eqnarray*} +or, a nested definition, $$ \bowtie \Big( \bowtie \big( \bowtie(R,ADC), read\_4\_20\_input \big), read\_4\_20\_input \Big). $$ + + + + This nested structure means that we have multiple traceable stages of failure mode reasoning in our analysis. Traditional FMEA would have only one stage of reasoning for each component failure mode.