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get the grammar and speeling off mum this morning

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Robin 2010-06-20 07:31:36 +01:00
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11
component_failure_modes_definition/component_failure_modes_definition.tex
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@ -76,7 +76,7 @@ structure with its associated failure modes.
From this diagram we see that each component must have at least one failure mode.
Also to clearly show that the failure modes are unique events associated with one component,
each failure mode being referenced back to only one component.
each failure mode is referenced back to only one component.
This modelling constraint is due to the fact that even generic components with the same
failure mode types, may have different statistical MTTF properties within the same
circuitry\footnote{For example, consider resistors one of high resistance and one low.
@ -110,6 +110,10 @@ parts~numbers\footnote{It is common practise for sub assemblies, PCB's, mechanic
software modules and some collections of components to have part numbers}, and will
not require a vendor reference, but must be named.
We can term `modularising a system', to mean recursively breaking it into smaller sections for analysis.
When modularising a system from the top~down, as in Fault Tree Analysis (FTA)
it is common to term the modules identified as sub-systems.
When building from the bottom up, it is more meaningful to term the `sub-systems' as `derived~components'.
%%
@ -378,7 +382,7 @@ and S itself.
In order to consider combinations for the set S where the number of elements in each sub-set of S is $N$ or less, a concept of the `cardinality constrained powerset'
is proposed and described in the next section.
\pagebreak[1]
%\pagebreak[1]
\subsection{Cardinality Constrained Powerset }
\label{ccp}
@ -486,6 +490,7 @@ $$
$$
\pagebreak[1]
\subsubsection{Establishing Formulae for unitary state failure mode \\
cardinality calculation}
@ -531,7 +536,7 @@ By knowing how many test cases should be covered, and checking the cardinality
associated with the test cases, complete coverage would be verified.
\pagebreak[4]
\pagebreak[1]
\section{Component Failure Modes and Statistical Sample Space}
%\paragraph{NOT WRITTEN YET PLEASE IGNORE}
A sample space is defined as the set of all possible outcomes.