%---------------------------Taper-----------------------------
\section{Taper}

Taper is the maximum ratio of cross derivative magnitude to principal axis magnitude:
\[
q = \frac {\normvec{X_{12}}} {\min \left\{ \normvec{X_1}, \normvec{X_2} \right\}}
\]

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

\quadmetrictable{taper}%
{$1$}%                                      Dimension
{$[0,0.7]$}%                                Acceptable range
{$[0,DBL\_MAX]$}%                           Normal range
{$[0,DBL\_MAX]$}%                           Full range
{$0$}%                                      Unit square
{Adapted from \cite{rob:87}}%               Citation
{v\_quad\_taper}%                           Verdict function name