Scale-free Network Sample
Scale-free may refer to: * Scale-free ideal gas * Scale-free network A scale-free network is a network whose degree distribution follows a power law, at least asymptotically. That is, the fraction ''P''(''k'') of nodes in the network having ''k'' connections to other nodes goes for large values of ''k'' as : P(k) ...

Scale-free Ideal Gas
The scale-free ideal gas (SFIG) is a physical model assuming a collection of non-interacting elements with a stochastic proportional growth. It is the scale-invariant version of an ideal gas. Some cases of city-population, electoral results and cites to scientific journals can be approximately considered scale-free ideal gases. In a one-dimensional discrete model with size-parameter ''k'', where ''k''1 and ''k''''M'' are the minimum and maximum allowed sizes respectively, and ''v'' = ''dk''/''dt'' is the growth, the bulk probability density function ''F''(''k'', ''v'') of a scale-free ideal gas follows : F(k,v)=\frac\frac, where ''N'' is the total number of elements, Ω = ln ''k''1/''k''''M'' is the logaritmic "volume" of the system, \overline=\langle v/k \rangle is the mean relative growth and \sigma_w is the standard deviation of the relative growth. The entropy Entropy is a scientific concept, as well as a measurable physical property ...
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