deletions | additions       diff --git a/Assume_we_are_comparing_two__.tex b/Assume_we_are_comparing_two__.tex  index 1062f25..043258b 100644  --- a/Assume_we_are_comparing_two__.tex  +++ b/Assume_we_are_comparing_two__.tex 
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We represent our intervals in the heap with a standard line-segment parametisation. That is, an interval is defined by $\{\mathbf{u} + t\mathbf{v}\mid t\in [0,1]}$ [0,1]\}$  where in our case $\mathbf{u}$ and $\mathbf{v} \in\mathbb{R}^2$