Entropic Vector - Open Problem

Open Problem

Given a vector, is it possible to say if there exists random variables such that their joint entropies are given by ? It turns out that for the problem has been solved. But for, it still remains unsolved. Defining the set of all such vectors that can be constructed from a set of random variables as, we see that a complete characterization of this space remains an unsolved mystery.

Read more about this topic:  Entropic Vector

Famous quotes containing the words open and/or problem:

    “Each man has his own vocation. The talent is the call. There is one direction in which all space is open to him. He has faculties silently inviting him thither to endless exertion. He is like a ship in the river; he runs against obstructions on every side but one; on that side all obstruction is taken away, and he sweeps serenely over a deepening channel into an infinite sea.”
    —Ralph Waldo Emerson (1803–1882)

    “I tell you, sir, the only safeguard of order and discipline in the modern world is a standardized worker with interchangeable parts. That would solve the entire problem of management.”
    —Jean Giraudoux (1882–1944)