[to sth; see also: accord, agree, match, respective]

To every $f$ there correspond two functions $a$ and $b$.

Consider the differences between these integrals and the corresponding ones with $f$ replaced by $g$.

Let $v$ be an arbitrary control and $x_t$ the corresponding controlled process. [Not: “the respective process”; “respective” requires a plural noun.]

It seems appropriate to mention in passing the corresponding formula for the cohomology of $B_n$.

Corresponding to each choice of $V$ there is a function $f$ such that ......

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