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:
“All of the valuable qualities ... like helping in the development of others—will not get you to the top at General Motors, were that path open to women.... The characteristics most highly developed in women and perhaps most essential to human beings are the very characteristics that are specifically dysfunctional for success in the world as it is.... They may, however, be the important ones for making the world different.”
—Jean Baker Miller (20th century)
“Like the effects of industrial pollution ... the AIDS crisis is evidence of a world in which nothing important is regional, local, limited; in which everything that can circulate does, and every problem is, or is destined to become, worldwide.”
—Susan Sontag (b. 1933)