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Further, for all distinct numbers {{nobr|<math>a \neq b</math>:}}
:<math>\big| \,a \parallel b \,\big| > \tfrac12 \min\bigl(|a|, |b|\bigr),</math>
with <math>\big|\, a \parallel b \,\big|</math> representing the [[absolute value]] of <math>a \parallel b</math>, and <math>\min(x, y)</math> meaning the [[Maxima and minima#In relation to sets|minimum]] (least element) among {{mvar|x}} and {{mvar|y}}.
If <math>a</math> and <math>b</math> are distinct positive real numbers then <math>\tfrac12 \min(a, b) < \big|\, a \parallel b \,\big| < \min(a, b).</math>
The concept has been extended from a [[scalar (mathematics)|scalar]] operation to [[matrix (mathematics)|matrices]]<ref name="Mitra_1970"/><ref name="Duffin_1966"/><ref name="Anderson-Duffin_1969"/><ref name="Mitra-Puri_1973"/><ref name="Mitra-Bhimasankaram-Malik_2010"/> and further [[generalization (mathematics)|generalized]].<ref name="Eriksson-Bique-Leutwiler_1989"/>
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