Other Definitions
power law (dict)
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Power LawA power law relationship between two scalar quantities x and y is any such that the relationship can be written as -
where a (the constant of proportionality) and k (the exponent of the power law) are constants. Power laws can be seen as a straight line on a log-log graph since, taking logs of both sides, the above equation is equal to -
which has the same form as the equation for a line -
Power laws are observed in many fields, including physics, biology, geography and economics. Power laws are among the most frequent scaling laws that describe the scaling invariance found in many natural phenomena. Examples of power law relationships: Examples of power law probability distributions: - The Pareto distribution and Zipf's law, that appear to fit such disparate phenomena as the popularity of websites, the wealth of individuals, and the frequency of words in documents.
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