deletions | additions       diff --git a/untitled.tex b/untitled.tex  index d9b53a7..e340caa 100644  --- a/untitled.tex  +++ b/untitled.tex 
...
F' = \int_{-\infty}^{0} df (-f) P(f| \mu, \sigma) + \int_{0}^{\infty} df f P(f| \mu, \sigma)   \end{equation}  \begin{equation}  F' = \int_{0}^{\infty} df f P(f| -\mu, \sigma) + \int_{0}^{\infty} df f P(f| \mu, \sigma)   \end{equation}  \begin{equation}  \,\, = 2 \int_{0}^{\infty} df f \frac{1}{\sqrt{2\pi}\sigma}\exp\left(-\frac{(f-\mu)^2}{2\sigma^2} \right)  \end{equation}  \begin{equation}