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Power law

In mathematics and science, 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 the change raised to a constant exponent: one quantity varies as a power of another. The change is independent of the initial size of those quantities.

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Overview

Empirical examples

Properties

Power-law functions

Power-law probability distributions

Validating power laws

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Map overview Semantic statistics

Power law

Nodes158
Edges157
Triples69
Avg. degree1.99
Density0.012658
Components1

How this topic connects Entity context

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Power law

Top relations

related to External links · 33
Power law → All Wrong, Archived, Benoit Mandelbrot, Carnegie-Mellon University, Cosma Shalizi, Critical Mass, February, Finance Gurus Get Risk, Fortune, Horton's Laws, How, July, Malcolm Gladwell, Markets, Million-dollar Murray, Nassim Nicholas Taleb, Pareto, Philip Ball, Power-laws, Professor
has method · 7
Power law → Although, Another, Here, It, Pareto, Pareto-type, Please
related to Universality · 7
Power law → CO2, Diverse, For, Formally, In, Similar, The
related to Lack of well-defined average value · 6
Power law → Americans, For, Income, On, Pareto, This
related to Power-law functions · 6
Power law → However, It, Pareto's, Research, Scientific, The
related to Empirical examples · 4
Power law → Acoustic, Allometric, Empirical, The
related to Scale invariance · 3
Power law → Given, One, That
is a · 2
Power law → functional relationship between two quantities, piecewise function
see also · 1
Power law → Fat-tailed

Important terminology Word statistics

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Important terminology

power-law power law displaystyle distribution distributions data alpha function laws mean probability exponent also scaling tail min many pareto log

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Power lawis afunctional relationship between two quantities0.90text
Power lawis apiecewise function0.90text
Power lawhas methodAlthough0.60section
Power lawhas methodPareto0.60section
Power lawhas methodAnother0.60section
Power lawhas methodPlease0.60section
Power lawhas methodPareto-type0.60section
Power lawhas methodIt0.60section
Power lawhas methodHere0.60section
Power lawrelated to Empirical examplesThe0.60section
Power lawrelated to Empirical examplesEmpirical0.60section
Power lawrelated to Empirical examplesAcoustic0.60section

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    Min side: 3
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