\begin{definition}[Definition:Quality of Integer Triple]
Let $\tuple {a, b, c}$ be an ordered triple of (strictly) positive integers.
The '''quality''' of $\tuple {a, b, c}$ is defined and denoted as:
:$\map q {a, b, c} := \dfrac {\ln c} {\map \ln {\map {\operatorname {rad} } {abc} } }$
where $\operatorname {rad}$ denotes the radical of an integer.
Category:Definitions/Number Theory
\end{definition}