Astrophysics (index)

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:

y=axk

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

A Power Law Spectrum is a spectrum where 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 as in blackbody radiation. Cosmic Rays' spectrum is basically power law.


(mathematics,statistics)
http://en.wikipedia.org/wiki/Power_law

Referenced by:
Cosmic Rays
Dense Core Mass Function (DCMF)
Luminosity Function (LF)
Spectral Index (α)
Synchrotron Radiation

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