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BEGIN:VEVENT
UID:4a892b78fd360276d96f39c51e1d4f82
CATEGORIES:Graduate Pizza Seminar
CREATED:20220929T094623
SUMMARY:Do It Again!  And Again.  And Again.  And... 
LOCATION:Hill 701 (Graduate Student Lounge)
DESCRIPTION:<p style="background: white;">“sin<sup>2</sup>(?) is odious to me.” — Carl 
 Friedrich Gauss</p><p style="background: white;">There's lots of interestin
 g behavior to be found when iterating a function.&nbsp; One thing I will sh
 ow is that by putting a metric on the set of pictures in a plane, we can wa
 tch a randomized point reliably trace out a fractal.&nbsp; Another has to d
 o with cycles of functions on the real numbers, i.e. points x where f<sup>n
 </sup>(x)=x.&nbsp; It turns out that there's a not terribly complicated way
  to specify exactly when a continuous function with an n-cycle must also ha
 ve an m-cycle, and I guarantee it won't be anything you're expecting (unles
 s you've seen it before).&nbsp; And if you'd like, when the talk is done, I
  can iterate it and give it again!&nbsp; And again!&nbsp; And...</p>
CONTACT:Joy Hamlin
DTSTAMP:20260828T110906
DTSTART;TZID=America/New_York:20220923T134500
DTEND;TZID=America/New_York:20220923T150000
SEQUENCE:0
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