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:

    To become wise you have to want to experience certain experiences, and so to run into their open jaws. This is very dangerous, to be sure; many a “wise man” has been eaten up in doing so.
    Friedrich Nietzsche (1844–1900)

    If a problem is insoluble, it is Necessity. Leave it alone.
    Mason Cooley (b. 1927)