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:
“When the inhabitants of some sequestered island first descry the “big canoe” of the European rolling through the blue waters towards their shores, they rush down to the beach in crowds, and with open arms stand ready to embrace the strangers. Fatal embrace! They fold to their bosoms the vipers whose sting is destined to poison all their joys; and the instinctive feeling of love within their breasts is soon converted into the bitterest hate.”
—Herman Melville (1819–1891)
“To make a good salad is to be a brilliant diplomatist—the problem is entirely the same in both cases. To know exactly how much oil one must put with one’s vinegar.”
—Oscar Wilde (1854–1900)