Power law

In physics, a power law relationship between two scalar quantities x and y is any such that the relationship can be written as

y = x^k

where k is a constant term (the exponent of the power law).

Examples of power law relationships:

• Stefan-Boltzmann law
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Examples of power law probability distributions:

• Pareto distribution
• Zipf's law
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Power laws are among the most frequent scaling laws[?] that describe the scaling invariance found in many natural phenomena.