%
\DeclareMathSymbol{\N}{\mathbin}{AMSb}{"4E}
\DeclareMathSymbol{\Z}{\mathbin}{AMSb}{"5A}
\DeclareMathSymbol{\R}{\mathbin}{AMSb}{"52}
\DeclareMathSymbol{\Q}{\mathbin}{AMSb}{"51}
\DeclareMathSymbol{\I}{\mathbin}{AMSb}{"49}
\DeclareMathSymbol{\C}{\mathbin}{AMSb}{"43}

\newcommand{\ft}{\ensuremath{4\!\!\rightarrow\!\!20mA} }


% Page layout definitions to suit A4 paper
\setcounter{secnumdepth}{3}        \setcounter{tocdepth}{4}
\setlength{\topmargin}{0mm}
\setlength{\textwidth}{160mm}      \setlength{\textheight}{220mm}
\setlength{\oddsidemargin}{0mm}    \setlength{\evensidemargin}{0mm}
%
\newcommand{\oc}{\ensuremath{^{o}{C}}}
\newcommand{\adctw}{{${\mathcal{ADC}}_{12}$}}
\newcommand{\adcten}{{${\mathcal{ADC}}_{10}$}}
\newcommand{\ohms}[1]{\ensuremath{#1\Omega}}
\newcommand{\fg}{\em functional~group}
\newcommand{\fgs}{\em functional~groups}
\newcommand{\dc}{\em derived~component}
\newcommand{\dcs}{\em derived~components}
\newcommand{\bc}{\em base~component}
\newcommand{\bcs}{\em base~components}
\newcommand{\irl}{in real life}
\newcommand{\enc}{\ensuremath{\stackrel{enc}{\longrightarrow}}}
\newcommand{\pin}{\ensuremath{\stackrel{pi}{\longleftrightarrow}}}
%\newcommand{\pic}{\em pure~intersection~chain}
\newcommand{\pic}{\em pair-wise~intersection~chain}
\newcommand{\wrt}{\em with~respect~to}
\newcommand{\abslevel}{\ensuremath{\Psi}}
\newcommand{\fmmdgloss}{\glossary{name={FMMD},description={Failure Mode Modular De-Composition, a bottom-up methodolgy for incrementally building failure mode models, using a procedure taking functional groups of components and creating derived components representing them, and in turn using the derived components to create higher level functional groups, and so on, that are used to build a failure mode model of a SYSTEM}}}
\newcommand{\fmodegloss}{\glossary{name={failure mode},description={The way in which a failure occurs. A component or sub-system may fail in a number of ways, and each of these is a 
failure mode of the component or sub-system}}}
\newcommand{\fmeagloss}{\glossary{name={FMEA}, description={Failure Mode and Effects analysis (FMEA) is a process where each potential failure mode within a SYSTEM, is analysed to determine SYSTEM level failure modes, and  to then classify them {\wrt} perceived severity}}}
\newcommand{\frategloss}{\glossary{name={failure rate}, description={The number of failure within a population (of size N), divided by N over a given time interval}}}
\newcommand{\pecgloss}{\glossary{name={PEC},description={A Programmable Electronic controller, will typically consist of sensors and actuators interfaced electronically, with some firmware/software component in overall control}}}

\usepackage{amsthm}

\newtheorem{example}{Example:}
\newtheorem{definition}{Definition:}
\newtheorem*{summary}{Summary:}


%
\newcommand{\Fam}{{\mathbb F}}
\newcommand{\Pow}{{\mathbb P}}
\newcommand{\Dis}{{\vee}}
\newcommand{\Con}{{\wedge}}
\newcommand{\FMEA}{{\bowtie}}
%
\newcommand{\Nat}{{\mathbb N}}
\newcommand{\Real}{{\mathbb R}}
\newcommand{\Complex} {{\mathbb C}}
\newcommand{\Rational} {{\mathbb Q}}
%
