Update regression approach powerlaw authored by Jamie Engelhardt Simon's avatar Jamie Engelhardt Simon
...@@ -3,11 +3,15 @@ title: regression approach - powerlaw ...@@ -3,11 +3,15 @@ title: regression approach - powerlaw
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It is assumed the data can be described by a power law, expressed either as Y or X dependent (referring to the second and first axis on a classical fatigue curve). ##Dependency
It is assumed the data can be described by a power law, expressed either as Y or X dependent (referring to the second and first axis on a fatigue curve).
```math ```math
Y = CX^m \leftrightarrow X = \left(\frac{Y}{C}\right)^{\frac{1}{m}} Y = CX^m \leftrightarrow X = \left(\frac{Y}{C}\right)^{\frac{1}{m}}
```
```math
X = CY^m \leftrightarrow Y = \left(\frac{X}{C}\right)^{\frac{1}{m}} X = CY^m \leftrightarrow Y = \left(\frac{X}{C}\right)^{\frac{1}{m}}
``` ```
Where $`\omega`$ is measured in rad/s.
Where $m$ and $C$ are the power slope- and adjustment coefficient, respectively.