deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 1a3c935..130f6bc 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\begin{eqnarray}  F &=& 2 \int_{0}^{\infty} df f P(f| \mu, \sigma) \\  &=& 2 \int_{0}^{\infty} df f \frac{1}{\sqrt{2\pi}\sigma}\exp\left(-\frac{(f-\mu)^2}{2\sigma^2} \right) \\  &=& 2 \int_{-\mu}^{\infty} \frac{(y+\mu)}{\sqrt{2\pi}\sigma}\exp\left(-\frac{y^2}{2\sigma^2}\right) \frac{(y+\mu)}{\sqrt{2\pi}\sigma}\exp\left(-\frac{y^2}{2\sigma^2}\right)dy  \\ &=& 2 \int_{-\mu}^{0} \frac{(y+\mu)}{\sqrt{2\pi}\sigma}\exp\left(-\frac{y^2}{2\sigma^2}\right) dy\frac{(y+\mu)}{\sqrt{2\pi}\sigma}\exp\left(-\frac{y^2}{2\sigma^2}\right)  + 2 \int_{0}^{\infty} \frac{(y+\mu)}{\sqrt{2\pi}\sigma}\exp\left(-\frac{y^2}{2\sigma^2}\right) dy\frac{(y+\mu)}{\sqrt{2\pi}\sigma}\exp\left(-\frac{y^2}{2\sigma^2}\right)  \\ &=& \mu + 2 \int_{0}^{\infty} \frac{\sigma dt}{\sqrt{2\pi}}\exp(-t) \\  &=& \mu + \sqrt{\frac{2}{\pi}} \sigma  \end{eqnarray}