This article provides a completion to theories of information based on entropy, resolving a longstanding question in its axiomatization as proposed by Shannon and pursued by Jaynes. We show that ...

Let $(X, \mathscr{A}, P)$ be a probability space and $\mathscr{B}$ a sub-$\sigma$-algebra of $\mathscr{A}$. Some results on regular conditional probabilities given $\mathscr{B}$ are proved. Using ...

(MENAFN- The Conversation) Here is a depressing fact: over the coming decades, sea-level rise will continue to threaten ecosystems, communities and cities. No matter how quickly we reduce our carbon ...