# Power law

## Functional relationship between two quantities / From Wikipedia, the free encyclopedia

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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.

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.