Scale invariance
（重定向自Scale invariant）
![The Wiener process is scale-invariant.](/Images/godic/202502/09/Wiener_process_animated4739.gif")
![A Koch curve is self-similar.](/Images/godic/202502/09/Kochsim4739.gif")
In physics, mathematics, statistics, and economics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as dilation), and the dilatations can also form part of a larger conformal symmetry.