What is 'Currying'?

I've seen references to curried functions in several articles and blogs but I can't find a good explanation (or at least one that makes sense!)

Currying is when you break down a function that takes multiple arguments into a series of functions that each take only one argument. Here's an example in JavaScript:
function add (a, b) {
return a + b;
}

add(3, 4); // returns 7


This is a function that takes two arguments, a and b, and returns their sum. We will now curry this function:
function add (a) {
return function (b) {
return a + b;
}
}


This is a function that takes one argument, a, and returns a function that takes another argument, b, and that function returns their sum.
add(3)(4); // returns 7

var add3 = add(3); // returns a function

add3(4); // returns 7


• The first statement returns 7, like the add(3, 4) statement.

• The second statement defines a new function called add3 that will add 3 to its argument. This is what some may call a closure.

• The third statement uses the add3 operation to add 3 to 4, again producing 7 as a result.

Stack Overflow Q#36314, score: 1122