deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 0dcc0e2..95c9eb5 100644  --- a/untitled.tex  +++ b/untitled.tex 
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F' = \int_{0}^{\infty} 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 \frac{1}{\sqrt{2\pi}\sigma}\exp\left(-\frac{(f+\mu)^2}{2\sigma^2} \frac{1}{\sqrt{2\pi}\sigma}\exp\left(-\frac{[f+\mu]^2}{2\sigma^2}  \right) + \int_{0}^{\infty} df f \frac{1}{\sqrt{2\pi}\sigma}\exp\left(-\frac{(f-\mu)^2}{2\sigma^2} \frac{1}{\sqrt{2\pi}\sigma}\exp\left(-\frac{[f-\mu]^2}{2\sigma^2}  \right) \end{equation}  \begin{equation}   \,\, = 2 \int_{-\mu}^{\infty} \frac{(y+\mu)}{\sqrt{2\pi}\sigma}\exp\left(-\frac{y^2}{2\sigma^2}\right)dy \\