Partial map from the place-based inversions (i,j){\displaystyle (i,j)} to the element-based inversions (S(i),S(j)){\displaystyle {\bigl (}S(i),S(j){\bigr )}} of a 4-element sequence S=(1,1,0,0){\displaystyle S=(1,1,0,0)}
With the place-based definition S has the inversion set {(0,2), (0,3), (1,2), (1,3)}.
With the element-based definition it has the inversion multiset {(1,0), (1,0), (1,0), (1,0)}.
Own work
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