home/regression-approach.md

@@ -2,4 +2,12 @@
 title: regression approach - powerlaw
 ---
 
-asdw
\ No newline at end of file
+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
+Y = CX^m \leftrightarrow X = \left(\frac{Y}{C}\right)^{\frac{1}{m}} \n
+X = CY^m \leftrightarrow Y = \left(\frac{X}{C}\right)^{\frac{1}{m}}
+
+```
+Where $`\omega`$ is measured in rad/s.
+