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reciprocation (n.)

1520s, "a reflexive mode of expression;" 1560s, "act of making a return (especially if mutual), mutual giving and returning, interchange of acts," from Latin reciprocationem (nominative reciprocatio) "retrogression, alternation, ebb," noun of action from past-participle stem of reciprocare "move back, turn back," also "come and go, move back and forth;" from reciprocus "returning the same way; alternating" (see reciprocal).

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Definitions of reciprocation from WordNet

reciprocation (n.)
the act of making or doing something in return;
reciprocation (n.)
alternating back-and-forth movement;
reciprocation (n.)
mutual interaction; the activity of reciprocating or exchanging (especially information);
From wordnet.princeton.edu