So why did we just bother so long with explaining currying? It's because it's very important for \emph{function composition}. Which again is also one of the fundamental concepts of functional programming. \vspace{\baselineskip} \\ From maths we already know that:\\ $(g \circ f)(x) = g(f(x))$ \vspace{\baselineskip} \\ \pause And that's basically it. We do the same in haskell, it looks like this: \begin{haskellcode} composedFunction x = (f . g) x -- same as above... everything on the right side of $ -- is evaluated first composedFunction x = f . g $ x -- and same again, remember that 'f x =' -- is just syntax sugar -- omitting the x here is also called eta reduction composedFunction = f . g \end{haskellcode}