Editing Entropy (information theory) (section)

==== Discussion ====
It was shown that any function <math>\Eta</math> satisfying the above properties must be a constant multiple of Shannon entropy, with a non-negative constant.<ref name="aczelentropy"/> Compared to the previously mentioned characterizations of entropy, this characterization focuses on the properties of entropy as a function of random variables (subadditivity and additivity), rather than the properties of entropy as a function of the probability vector <math>p_1,\ldots ,p_n</math>.

It is worth noting that if we drop the "small for small probabilities" property, then <math>\Eta</math> must be a non-negative linear combination of the Shannon entropy and the [[Hartley entropy]].<ref name="aczelentropy"/>