Not to be confused with Force (law).For other uses, see Power (disambiguation).
"Scaling law" redirects here. For statistical laws of scaling deep learning models, see Neural scaling law.
An example power-law graph that demonstrates ranking of popularity. To the right is the long tail, and to the left are the few that dominate (also known as the 80–20 rule).
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. 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.[1] The rate of change exhibited in these relationships is said to be multiplicative.
^Yaneer Bar-Yam. "Concepts: Power Law". New England Complex Systems Institute. Retrieved 18 August 2015.
In statistics, a powerlaw is a functional relationship between two quantities, where a relative change in one quantity results in a relative change in...
The 48 Laws of Power (1998) is a self-help book by American author Robert Greene. The book is a New York Times bestseller, selling over 1.2 million copies...
The fourth powerlaw (also known as the fourth power rule) states that the greater the axle load of a vehicle, the stress on the road caused by the motor...
noise at both ends. Pink noise is the only power-law spectral density that has this property: all steeper power-law spectra are finite if integrated to the...
(Ohmic, or linear) loads, the power formula (P = I·V) and Joule's first law (V = I^2·R) can be combined with Ohm's law (V = I·R) to produce alternative...
efficiency. Mathematically, the 80/20 rule is roughly described by a powerlaw distribution (also known as a Pareto distribution) for a particular set...
The powerlaw of practice states that the logarithm of the reaction time for a particular task decreases linearly with the logarithm of the number of...
the strain rate to the (n−1) power; d v x d y {\textstyle {\frac {dv_{x}}{dy}}} is the velocity gradient; n is the powerlaw index. If n < 1 then the fluid...
tissue, polymers, soil, and porous rock, can be expressed as the following powerlaw with respect to frequency: P ( x + Δ x ) = P ( x ) e − α ( ω ) Δ x , α...
rank-frequency distributions (primarily of popularity), which often form powerlaws and are thus long-tailed distributions in the statistical sense. This...
its mass. The equation is also known as the "three-halves-powerlaw" or the Child–Langmuir law. Child originally derived this equation for the case of atomic...
The term stream powerlaw describes a semi-empirical family of equations used to predict the rate of erosion of a river into its bed. These combine equations...
shown that besides the logarithmic law of the wall — the limit for infinite Reynolds numbers — there exist power-law solutions, which are dependent on...
are available to generate pink and other power-law coloured noise in one or any number of dimensions. The power spectrum of pink noise is 1 f {\displaystyle...
the form of a powerlaw. The same argument shows that it cannot be bounded below by a positive constant, even if we drop the power-law assumption.[citation...
variance-to-mean powerlaw, with p = 2 - d. The biconditional relationship above between the variance-to-mean powerlaw and powerlaw autocorrelation function...
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