Problem Statement

Partial function application   is the ability to take a function of many parameters and apply arguments to some of the parameters to create a new function that needs only the application of the remaining arguments to produce the equivalent of applying all arguments to the original function. E.g:

Note that in the partial application of a parameter, (in the above case param1), other parameters are not explicitly mentioned. This is a recurring feature of partial function application.

Let's start with the solution:

#lang racket

(define (fs f s) (map f s))
(define (f1 n) (* n 2))
(define (f2 n) (* n n))

(define fsf1 (curry fs f1))
(define fsf2 (curry fs f2))

(fsf1 '(0 1 2 3))
(fsf1 '(2 4 6 8))
(fsf2 '(0 1 2 3))
(fsf2 '(2 4 6 8))