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:

    It is an open question whether any behavior based on fear of eternal punishment can be regarded as ethical or should be regarded as merely cowardly.
    Margaret Mead (1901–1978)

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