robin/Robin_PHD
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

get the grammar and speeling off mum this morning

Browse Source
This commit is contained in:
Robin 2010-06-20 07:31:36 +01:00
parent 770c27d88f
commit 0176ed4a81
1 changed files with 8 additions and 3 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

11
component_failure_modes_definition/component_failure_modes_definition.tex
View File

@ -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. 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, 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 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 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. 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 software modules and some collections of components to have part numbers}, and will
not require a vendor reference, but must be named. 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' 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. is proposed and described in the next section.
\pagebreak[1] %\pagebreak[1]
\subsection{Cardinality Constrained Powerset } \subsection{Cardinality Constrained Powerset }
\label{ccp} \label{ccp}
@ -486,6 +490,7 @@ $$
$$ $$
\pagebreak[1]
\subsubsection{Establishing Formulae for unitary state failure mode \\ \subsubsection{Establishing Formulae for unitary state failure mode \\
cardinality calculation} 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. associated with the test cases, complete coverage would be verified.
\pagebreak[4] \pagebreak[1]
\section{Component Failure Modes and Statistical Sample Space} \section{Component Failure Modes and Statistical Sample Space}
%\paragraph{NOT WRITTEN YET PLEASE IGNORE} %\paragraph{NOT WRITTEN YET PLEASE IGNORE}
A sample space is defined as the set of all possible outcomes. A sample space is defined as the set of all possible outcomes.