![]() ![]() ![]() ![]() Allometric scaling laws for relationships between biological variables are among the best known power-law functions in nature. Few empirical distributions fit a power law for all their values, but rather follow a power law in the tail.Īcoustic attenuation follows frequency power-laws within wide frequency bands for many complex media. The distributions of a wide variety of physical, biological, and man-made phenomena approximately follow a power law over a wide range of magnitudes: these include the sizes of 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, volcanic eruptions, human judgments of stimulus intensity and many other quantities. 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. In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a relative change in the other quantity proportional to a power of the change, independent of the initial size of those quantities: one quantity varies as a power of another. To the right is the long tail, and to the left are the few that dominate (also known as the 80–20 rule). An example power-law graph that demonstrates ranking of popularity. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |