Partial application

In computer science, partial application (or partial function application) refers to the process of fixing a number of arguments to a function, producing another function of smaller arity. Given a function ${\displaystyle \scriptstyle f\colon (X\times Y\times Z)\to N}$, we might fix (or 'bind') the first argument, producing a function of type ${\displaystyle \scriptstyle {\text{partial}}(f)\colon (Y\times Z)\to N}$. Evaluation of this function might be represented as ${\displaystyle f_{partial}(2,3)}$. Note that the result of partial function application in this case is a function that takes two arguments. Partial application is sometimes (incorrectly) called currying, which is a related, but distinct concept.

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