deletions | additions       diff --git a/To_illustrate_the_above_ideas__.tex b/To_illustrate_the_above_ideas__.tex  index d77f806..e3c3c74 100644  --- a/To_illustrate_the_above_ideas__.tex  +++ b/To_illustrate_the_above_ideas__.tex 
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To illustrate the above ideas, we apply the theory to $P$ and $U$ measured in a coronary artery. Figure 1 shows both the continuously measured $P$ and $U$ and the ensemble average $pe$ and $ue$ calculated using the R-wave of the simultaneously measured ECG as the reference time for each beat. Note that the ensemble average pressure waveform is very similar to that expected in the aorta but the velocity waveform is very different from the expected aortic waveform with minimum velocity during systole and peak velocity occurring in early diastole. mid-diastole.