deletions | additions       diff --git a/oscillationTheory.tex b/oscillationTheory.tex  index c00fcc1..2808561 100644  --- a/oscillationTheory.tex  +++ b/oscillationTheory.tex 
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&= p_{\alpha}^2 (1 + \frac{m_{\alpha}^2}{p_{\alpha}^2}) \\  E_{\alpha} &\approx p_{\alpha} \sqrt{(1 + \frac{m_{\alpha}^2}{p_{\alpha}^2})} \\  &\approx p_{\alpha} (1 + \frac{m_{\alpha}^2}{2 p_{\alpha}^2}) \\  &\approx &=  p_{\alpha} + \frac{m_{\alpha}^2}{2 p_{\alpha}} \end{split}  \end{equation}