Although the code is uniquely decodable, how efficient is it? We have shown that the number of bits l(x) required to represent FX(x) with enough accuracy such that the code for different values of x is distinct is l(x)=⌈log1P(x)⌉+1. Remember that l(x) is the number of...
The dynamics of competing opinions on networks has attracted multi-disciplinary research. Most modelling approaches assume uniform or heterogeneous behaviour among all individuals, while the role of distinctive group behaviour is rarely addressed. Here,
Given a degree sequenceDG, by using the quantitiesn1andn0, which identify the amount of nodes with features 1 and 0 respectively, it is possible to define its head\({D}_{G}^{H}({n}_{1})\)or\({D}_{G}^{H}({n}_{0})\)and its tail\({D}_{G}^{T}({n}_{1})\)or\({...