To extend what both T. J. Crowder and Benjamin Gruenbaum said, libraries like Ramda (disclosure: I'm one of the authors) allow you to convert a simple function like this:
function add(a, b) {
return a + b;
}
into the style under discussion by wrapping it in a call to a curry
function:
var add = R.curry(function add(a, b) {
return a + b;
});
add(3, 5); //=> 8
add(3)(5); //=> 8
var add3 = add(3);
add3(5); //=> 8
The best article I know on this subject is Hugh Jackson's Why Curry Helps. I wrote a more detailed one at Favoring Curry.
Update
Here is a version of curry
somewhat simpler than the one in Ramda. It would do the above and quite a bit more, but doesn't do some of the things that Ramda does with placeholder values:
// here is a function that takes a function and returns a curried version
// of it, that is, a version that performs the sort of partial application
// you describe.
var curry = function(fn) {
// first, we detect how many arguments the function has.
var fnArity = fn.length;
var partialApply = function(args) {
// now, let's create a function that's curried
return function () {
// collect the previous args as the partial, and add the new
// ones you just received
var newArgs = (args || []).concat([].slice.call(arguments, 0));
// if we have "enough" arguments, we don't need any more partial
// application and we can call the function.
if (newArgs.length >= fnArity) {
return fn.apply(this, newArgs);
} else { // else we return a partially applied version
return partialApply(newArgs);
}
};
};
return partialApply([]); // a function is itself partially applied with 0 args
};