Partially apply the infix operator with map

Question

I have the following function g

g :: Int -> Int -> Int 
g x y = x + y * y

I use g in the following three ways but don't quite understand what they each do.

map (g 10)  [1,2,3,4,5] -- 1

map (10 ‘g‘) [1,2,3,4,5] -- 2

map (‘g‘ 10) [1,2,3,4,5] -- 3

Answer 1

x `g` y

is defined on haskell.org as

x `g` y = g x y

This results in the following for

-- 1
map (g 10) [1,2,3,4,5] ==
map (\x -> g 10 x) [1,2,3,4,5]

-- 2
map (10 `g`) [1,2,3,4,5] ==
map (\x -> g 10 x) [1,2,3,4,5]

-- 3
map (`g` 10) [1,2,3,4,5] ==
map (\x -> g x 10) [1,2,3,4,5]

I hope this made it a bit more clear.