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correspondence (n.)

early 15c., "congruence, resemblance, harmony, agreement," from Medieval Latin correspondentia, from correspondentem (nominative correspondens), present participle of correspondere "correspond, harmonize, reciprocate," from assimilated form of com "together, with (each other)" (see com-) + respondere "to answer" (see respond). Sense of "communication by letters" is first attested 1640s; that of "the letters which pass between correspondents" is from 1771.

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Definitions of correspondence from WordNet

correspondence (n.)
communication by the exchange of letters;
correspondence (n.)
compatibility of observations;
the results of two tests were in correspondence
Synonyms: agreement
correspondence (n.)
the relation of corresponding in degree or size or amount;
Synonyms: commensurateness / proportionateness
correspondence (n.)
(mathematics) an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane;
Synonyms: symmetry / symmetricalness / balance
correspondence (n.)
similarity by virtue of corresponding;
Synonyms: parallelism
From wordnet.princeton.edu