A power law is a mathematical relationship between two quantities. When the frequency of an event varies as a power of some attribute of that event (e.g. its size), the frequency is said to follow a power law. For instance, the number of cities having a certain population size is found to vary as a power of the size of the population, and hence follows a power law. There is evidence that the distributions of a wide variety of physical, biological, and man-made phenomena follow a power law, including the sizes of earthquakes, craters on the moon and of solar flares, the foraging pattern of various species, the sizes of activity patterns of neuronal populations, the frequencies of words in most languages, frequencies of family names, the species richness in clades of organisms, the sizes of power outages and wars, and many other quantities.
Read more about Power Law: Power-law Functions, Power-law Probability Distributions, Validating Power Laws, Note
Famous quotes containing the words power and/or law:
“To the excessively fearful the chief characteristic of power is its arbitrariness. Man had to gain enormously in confidence before he could conceive an all-powerful God who obeys his own laws.”
—Eric Hoffer (1902–1983)
“The law is a sort of hocus-pocus science, that smiles in yer face while it picks yer pocket: and the glorious uncertainty of it is of more use to the professors than the justice of it.”
—Charles Macklin (1690–1797)