[javascript] Functions that return a function

Returning the function name without () returns a reference to the function, which can be assigned as you've done with var s = a(). s now contains a reference to the function b(), and calling s() is functionally equivalent to calling b().

// Return a reference to the function b().
// In your example, the reference is assigned to var s
return b;

Calling the function with () in a return statement executes the function, and returns whatever value was returned by the function. It is similar to calling var x = b();, but instead of assigning the return value of b() you are returning it from the calling function a(). If the function b() itself does not return a value, the call returns undefined after whatever other work is done by b().

// Execute function b() and return its value
return b();
// If b() has no return value, this is equivalent to calling b(), followed by
// return undefined;