I am trying to construct a peak model equation where:
When x is equal to or less than the mean y is calculated using the Gaussian distribution equation, and when x is more than the mean the Lorentzian/Cauchy model is used instead.
I wanted to know if there was a specific mathematical way of writing this, or the best way to represent this (in equation form) in scientific text. I am not a mathematician, so apologies if this is a very simple question.