deletions | additions       diff --git a/subsection_Johnson_Noise_Johnson_noise__.tex b/subsection_Johnson_Noise_Johnson_noise__.tex  index 002521e..fc270a7 100644  --- a/subsection_Johnson_Noise_Johnson_noise__.tex  +++ b/subsection_Johnson_Noise_Johnson_noise__.tex 
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V_{\textrm{mean square ac voltage }} = = (4 R \Delta f) k_B T   \end{equation}  \begin{equation*}  = (4 R \Delta f) k_B T   \end{equation*}  or   \begin{equation*}  {V_{ac}}^2 = = (4 R \Delta f) k_B T   \end{equation*}  or,