diff --git a/fmmd_concept/System_safety_2011/submission.tex b/fmmd_concept/System_safety_2011/submission.tex
index add52b9..19d04be 100644
--- a/fmmd_concept/System_safety_2011/submission.tex
+++ b/fmmd_concept/System_safety_2011/submission.tex
@@ -54,8 +54,8 @@ failure mode of the component or sub-system}}}
 %\innerfoot{{\small\bf R.P. Clark } }   
                                               % numbers at outer edges
 \pagenumbering{arabic}                        % Arabic page numbers hereafter
-\author{R.P.Clark$^1$ , Andrew~Fish$^2$ , John~Howse$^2$ , Chris Garret$^2$ \\
-        $^1${\em Energy Technology Control, Lewes,UK} \and $^2${\em University of Brighton, UK}
+\author{R.P.Clark$^\star$ , Andrew~Fish$^\dagger$ , John~Howse$^\dagger$ , Chris Garret$^\dagger$ \\
+        $^\star${\em Energy Technology Control, Lewes,UK} \and $^\dagger${\em University of Brighton, UK}
 }
 
 \title{Developing a rigorous bottom-up modular static failure mode modelling methodology}
@@ -172,8 +172,8 @@ is $N \times K$. To examine the effect that one failure mode has on all
 the other components\footnote{A base component failure will typically affect the sub-system
 it is part of, and create a failure effect at the SYSTEM level.}
 will be $(N-1) \times N \times K$, in effect a very large set cross product.
-If $E$ is the number of applied states or environmental conditions to consider
-in a system, and $A$ the number of applied states,
+If $E$ is the number of environmental conditions to consider
+in a system, and $A$ the number of applied states (or modes of the SYSTEM),
 the job of the bottom-up analyst is presented with two
 additional %cross product 
 factors, 
@@ -194,12 +194,12 @@ The `reasoning~distance' $R_D$ can be calculated by summing the number of compon
 involved, multiplied by the number of failure modes in each component,
 that must interact to reach the top level event.
 Where $C$ represents the set of components in a failure mode causation chain,
-$c$ represents a component and
-the function $fn$ returns the number of failure modes for a given component, equation
+$c_i$ represents a component in $C$ and
+the function $fm$ returns the  failure modes for a given component, equation
 \ref{eqn:complexity}, returns a value representing the complexity
 from the base component failure to the SYSTEM level event.
 \begin{equation}
-R_D = \sum_{i=1}^{|C|} {fn(c)}  %\; where \; c \in C
+R_D = \sum_{i=1}^{|C|} |{fm(c_i)}| %\; where \; c \in C
 \label{eqn:complexity} 
 \end{equation}
 
@@ -237,7 +237,9 @@ base our reasoning on, at each stage.
 
 
 
-Development of the new methodology 
+%Development of the new methodology 
+
+\section{An ontology of failure modes}
 
 An ontology is developed of 
 failure modes and their relationship to environmental factors, 
@@ -291,9 +293,10 @@ mechanical and software elements in one integrated model.
 
 
 %
-
+{ \tiny
 \bibliographystyle{plain}
-\bibliography{../vmgbibliography,../mybib}
+\bibliography{vmgbibliography,mybib}
+}
 
 \today
 \end{document}