Functional Florishes

Question 1

What is n-reduction?

Answer 1

fx = gx
f = g

i.e. sumOf2 xs = foldr plus 0 xs
sumOf2 = foldr plus 0

Question 2

Function composition

Answer 2

Using dots for multiple functions i.e.

concat . map f

Question 3

Partial Application

Answer 3

A function with multiple arguments converted to succession of functions that take a single argument, currying.
plus a b = a + b
inc ‘xs’ = plus 1 ‘xs’