deletions | additions       diff --git a/As_shown_above_the_top__.tex b/As_shown_above_the_top__.tex  index 1318ff2..de3087e 100644  --- a/As_shown_above_the_top__.tex  +++ b/As_shown_above_the_top__.tex 
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As shown above, the top 4 principal components correspond to highly localized singleton spikes. PC 5 interestingly captures a weekly periodic trend, as indicated from the auto-correlation below.