deletions | additions       diff --git a/Assume_we_are_comparing_two__.tex b/Assume_we_are_comparing_two__.tex  index d42eab1..a02a38f 100644  --- a/Assume_we_are_comparing_two__.tex  +++ b/Assume_we_are_comparing_two__.tex 
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Assume we are comparing two intervals $A$ and $B$. Let $A$ be the interval stored in-heap and $B$ the interval we've just encountered. Our points of interest are the first end-point of $B$ which we denote $b_0$ and the point on $A$ which intersects the radial scan line at this point. We can do so in $O(1)$ by simply comparing the line defined by the angle $\angle mqB\vert_0$ mqb_0$