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:

let fs f s = List.map f s
let f1 n = n * 2
let f2 n = n * n

let fsf1 = fs f1
let fsf2 = fs f2

printfn "%A" (fsf1 [0; 1; 2; 3])
printfn "%A" (fsf1 [2; 4; 6; 8])
printfn "%A" (fsf2 [0; 1; 2; 3])
printfn "%A" (fsf2 [2; 4; 6; 8])