Update regression approach powerlaw authored by Jamie Engelhardt Simon's avatar Jamie Engelhardt Simon
......@@ -3,6 +3,7 @@ title: regression approach - powerlaw
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## 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).
......@@ -21,7 +22,7 @@ Where $m$ and $C$ are the power slope- and adjustment coefficient, respectively.
In using the power-law as a prediction function, the model can be fitted in logspace as follows.
```math
X_{\textrm{log}} = \textrm{log10}\left{X}
X_{\textrm{log}} = \textrm{log10}\left(X\right), \quad Y_{\textrm{log}} = \textrm{log10}\left(Y\right)
```
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