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:
“Falling in love with a United States Senator is a splendid ordeal. One is nestled snugly into the bosom of power but also placed squarely in the hazardous path of exposure.”
—Barbara Howar (b. 1934)
“The law is only one of several imperfect and more or less external ways of defending what is better in life against what is worse. By itself, the law can never create anything better.... Establishing respect for the law does not automatically ensure a better life for that, after all, is a job for people and not for laws and institutions.”
—Václav Havel (b. 1936)