template <class T> // A template class taking any type T
// This class inherit from std::binary_function
struct greater : binary_function <T, T, bool>
{
  // This is a struct (not a class).
  // It means members and inheritens is public by default
  // This method defines operator() for this class
  // you can do: greater<int> op; op(x,y);
  bool operator() (const T& x, const T& y) const {
    // method is const, this means you can use it
    // with a const greater<T> object
    return x > y; // use T::operator> const
                  // if it does not exist, produces a compilation error
  }
};
here is the definition of std::binary_function 
template <class Arg1, class Arg2, class Result>
struct binary_function {
  typedef Arg1 first_argument_type;
  typedef Arg2 second_argument_type;
  typedef Result result_type;
};
this allows you to access the types defining the binary_function  
greater<int> op;
greater<int>::result_type res = op(1,2);
which is equivalent to
std::result_of<greater<int>>::type res = op(1,2);