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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\_ADC \} \\ -RADC = \; \bowtie (G_2) \\ -G_3 = \{ RADC, read\_4\_20\_input \} \\ -R420I = \; \bowtie (G_3) \\ +G_1 &=& \{R,ADC\} \\ +CMATV &=& \;\bowtie (G_1) \\ +G_2 &=& \{CMATV, read\_ADC \} \\ +RADC &=& \; \bowtie (G_2) \\ +G_3 &=& \{ RADC, read\_4\_20\_input \} \\ +R420I &=& \; \bowtie (G_3) \\ \end{eqnarray*} or, a nested definition, $$ \bowtie \Big( \bowtie \big( \bowtie(R,ADC), read\_4\_20\_input \big), read\_4\_20\_input \Big). $$ diff --git a/papers/software_fmea/software_fmea.tex b/papers/software_fmea/software_fmea.tex index e6dd0ba..d08bc90 100644 --- a/papers/software_fmea/software_fmea.tex +++ b/papers/software_fmea/software_fmea.tex @@ -930,12 +930,12 @@ as a hierarchical diagram, see figure~\ref{fig:hd}. 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\_ADC \} \\ -RADC = \; \bowtie (G_2) \\ -G_3 = \{ RADC, read\_4\_20\_input \} \\ -R420I = \; \bowtie (G_3) \\ +G_1 &=& \{R,ADC\} \\ +CMATV &=& \;\bowtie (G_1) \\ +G_2 &=& \{CMATV, read\_ADC \} \\ +RADC &=& \; \bowtie (G_2) \\ +G_3 &=& \{ RADC, read\_4\_20\_input \} \\ +R420I &=& \; \bowtie (G_3) \\ \end{eqnarray*} or, a nested definition, $$ \bowtie \Big( \bowtie \big( \bowtie(R,ADC), read\_4\_20\_input \big), read\_4\_20\_input \Big). $$ diff --git a/submission_thesis/CH5_Examples/copy.tex b/submission_thesis/CH5_Examples/copy.tex index f3ae8b6..41b9749 100644 --- a/submission_thesis/CH5_Examples/copy.tex +++ b/submission_thesis/CH5_Examples/copy.tex @@ -3346,12 +3346,12 @@ as a hierarchical diagram, see figure~\ref{fig:hd}. We can represent the hierarchy in figure~\ref{fig:hd} algebraically, using the `$\derivec$' function using the groups as intermediate stages: \begin{eqnarray*} -G_1 = \{R,ADC\} \\ -CMATV = \;\derivec (G_1) \\ -G_2 = \{CMATV, read\_ADC \} \\ -RADC = \; \derivec (G_2) \\ -G_3 = \{ RADC, read\_4\_20\_input \} \\ -R420I = \; \derivec (G_3) \\ +G_1 &=& \{R,ADC\} \\ +CMATV &=& \;\derivec (G_1) \\ +G_2 &=& \{CMATV, read\_ADC \} \\ +RADC &=& \; \derivec (G_2) \\ +G_3 &=& \{ RADC, read\_4\_20\_input \} \\ +R420I &=& \; \derivec (G_3) \\ \end{eqnarray*} or, a nested definition, $$ \derivec \Big( \derivec \big( \derivec(R,ADC), read\_4\_20\_input \big), read\_4\_20\_input \Big). $$ diff --git a/submission_thesis/Makefile b/submission_thesis/Makefile index 362639d..abd76ad 100644 --- a/submission_thesis/Makefile +++ b/submission_thesis/Makefile @@ -13,29 +13,13 @@ clean: bib: bibtex thesis - -CH1_introduction: - cd $@; make copy - -CH2_FMEA: - cd $@; make copy - -CH3_FMEA_criticism: - cd $@; make copy - -CH4_FMMD: - cd $@; make copy - -CH5_Examples: - cd $@; make copy - -CH6_Evaluation: - cd $@; make copy - -CH7_Conculsion: - cd $@; make copy - - -CH8_finsh_appendixes: - cd $@; make copy +chapters_sub_make: + cd CH1_introduction; make copy + cd CH2_FMEA; make copy + cd CH3_FMEA_criticism; make copy + cd CH4_FMMD; make copy + cd CH5_Examples; make copy + cd CH6_Evaluation; make copy + cd CH7_Conculsion; make copy + cd CH8_finsh_appendixes; make copy