Power law
Not to be confused with Force (law). For other uses, see Power. An example power-law graph, being used to demonstrate ranking of popularity. To the right is the long tail, and to the left are the few that dominate (also known as the 80–20 rule). In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. For instance, considering the area of a square in terms of the length of its side, if the length is doubled, the area is multiplied by a factor of four. [1] Contents 1 Empirical examples 2 Properties 2.1 Scale invariance 2.2 Lack of well-defined average value 2.3 Universality 3 Power-law functions 3.1 Examples 3.1.1 Astronomy 3.1.2 Physics 3.1.3 Biology 3.1.4 Meterology 3.1.5 General science 3.1.6 Mat