deletions | additions       diff --git a/Landauer derivation.tex b/Landauer derivation.tex  index 801f7a6..28fd2d7 100644  --- a/Landauer derivation.tex  +++ b/Landauer derivation.tex 
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When the initial probabilities are arbitrary, with $p_1=\gamma$ and $p_2=1-\gamma$, I derived the following equation which seems wrong.  \begin{equation}  \beta\langle W\rangle \gteq \geq  \int_0^\inf\alpha\ln\alpha\;dx\,dp + \ln2 - \frac{1}{2}\gamma\ln\gamma - \frac{1}{2}(1-\gamma)\ln(1-\gamma). \end{equation}  The answer I want is  \begin{equation}