Power Law Function
Power Law Function
\[y = ax^n\]
Variables
y = function value
a = scaling constant
x = independent variable
n = power exponent
Description
What is this formula?
This formula models a power law relationship where one variable changes proportionally to a power of another variable.
When to use it
Use this formula when analyzing nonlinear scaling relationships between physical, biological or statistical quantities.
Example
For:
a=3
n=2.5
x=4
y=3*(4^2.5)
y=3*32
y=96
Applications
Fluid mechanics
Physics scaling laws
Fractal analysis
Economics
Biology
Engineering correlations
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