Update regression approach powerlaw authored by Jamie Engelhardt Simon's avatar Jamie Engelhardt Simon
...@@ -2,12 +2,12 @@ ...@@ -2,12 +2,12 @@
title: regression approach - powerlaw 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). 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).
```math ```math
Y = CX^m \leftrightarrow X = \left(\frac{Y}{C}\right)^{\frac{1}{m}} \n Y = CX^m \leftrightarrow X = \left(\frac{Y}{C}\right)^{\frac{1}{m}}
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 $`\omega`$ is measured in rad/s.