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Jaccard Similarity Coefficient

The Jaccard similarity coefficient is a set-overlap measure introduced by Paul Jaccard (1912). For two finite sets AA and BB, it is defined as J(A,B)=ABABJ(A,B)=\dfrac{|A\cap B|}{|A\cup B|}, with J(emptyset,emptyset)=1 by convention. The score lies in [0,1]: it equals 11 when the two sets contain exactly the same elements and 00 when they are disjoint. Because it only counts shared versus total distinct elements, JJ ignores element ordering and frequency, making it a pure overlap statistic between sets.

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Updated 2026-06-17

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