How do currying and partial application differ from each other?

Currying transforms a function with multiple arguments into a sequence of functions, each taking a single argument. For example, a function f(a, b, c) becomes f(a)(b)(c). Partial application, on the other hand, fixes a few arguments of a function and produces another function with a smaller number of arguments. For example, if you partially apply f(a, b, c) with a, you get a new function f'(b, c).