Etymology
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complementarity (n.)

"a complementary relation or situation," 1908, a term in physics, from complementary + -ity.

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Definitions of complementarity

complementarity (n.)
a relation between two opposite states or principles that together exhaust the possibilities;
complementarity (n.)
the interrelation of reciprocity whereby one thing supplements or depends on the other;
the complementarity of the sexes
From wordnet.princeton.edu