deletions | additions       diff --git a/Sampling Spatial.tex b/Sampling Spatial.tex  index 8f9522a..aa0e2c6 100644  --- a/Sampling Spatial.tex  +++ b/Sampling Spatial.tex 
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\begin{equation}\label{eq-cubevol}  \omega_{s} \cap \omega_{t} =   \begin{cases}   \omega_{s}, & \mbox{if } s=t%\mbox{t} s=t  \\ \emptyset, & \mbox{if } s \neq \mbox{t} t  \end{cases}  \end{equation} 
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\begin{equation}\label{eq-cubevol2}  \chi_{s}(x) =   \begin{cases}   1, & \mbox{if } x\mbox{ x  \in t} \omega_{s}  \\ 0, & \mbox{if } s \mbox{ \neq t} x \notin 0  \end{cases}  \end{equation}