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power law

(relationship with one quantity a power of another)

A power law in statistics is a relationship between quantities where one is proportional to the power of the other. Often such relations only hold over a given range. Template:


Subtypes include "square law" and "inverse-square law". Some physics examples:

A power law spectrum is a spectrum such that the flux at each frequency (or energy as per the energy-per-photon) is related to that frequency by a power law. A spectrum may be classified as basically power law, as opposed to, for example, a black-body spectrum. Cosmic rays' spectrum is basically power law.


Referenced by:
Compton reflection
cosmic rays (CR)
dense core mass function (DCMF)
luminosity function (LF)
radio relics
spectral index (α)
synchrotron radiation