be equivalent or parallel, in mathematics
"The two algebraic expressions correspond exactly when simplified under the same variable constraints."
take the place of or be parallel or equivalent to
"Because of the sound changes in the course of history, an `h' in Greek stands for an `s' in Latin"
To be equivalent or similar in character, quantity, quality, origin, structure, function etc.
"The intricate patterns on the ancient tapestry correspond perfectly with those found on the contemporary rug."
In plain English: To correspond means to match up with something else exactly, like two puzzle pieces fitting together perfectly.
"Her phone number corresponds to the contact information on her business card."
Usage: Use correspond to describe how two things match in nature, amount, or meaning rather than simply being the same. It often pairs with prepositions like "with" for similarity and "to" for equivalence in rank or value.
From Middle French correspondre, from Latin com- ("with") + respondeo ("to match, to answer to"), equivalent to co- + respond.