%---------------------------Maximum Edge Ratio-----------------------------
\section{Maximum Edge Ratio}

\[
q = \max \left\{  \normvec{ X_1 } / \normvec{ X_2 }, 
                  \normvec{ X_2 } / \normvec{ X_1 } \right\} 
\]

Note that if $\normvec{X_1}$ or $\normvec{X_2} < DBL\_MIN$, we set $q = DBL\_MAX$.

\quadmetrictable{maximum edge ratio}%
{$1$}%                                      Dimension
{$[1,1.3]$}%                                Acceptable range
{$[1,DBL\_MAX]$}%                           Normal range
{$[1,DBL\_MAX]$}%                           Full range
{$1$}%                                      Unit square
{\cite{rob:87}}%                            Citation
{v\_quad\_max\_edge\_ratio}%                Verdict function name