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:

    “Feminism, like Boston, is a state of mind. It is the state of mind of women who realize that their whole position in the social order is antiquated, as a woman cooking over an open fire with heavy iron pots would know that her entire housekeeping was out of date.”
    —Rheta Childe Dorr (1866–1948)

    “I don’t have any problem with a reporter or a news person who says the President is uninformed on this issue or that issue. I don’t think any of us would challenge that. I do have a problem with the singular focus on this, as if that’s the only standard by which we ought to judge a president. What we learned in the last administration was how little having an encyclopedic grasp of all the facts has to do with governing.”
    —David R. Gergen (b. 1942)