91st Analytic Beer

Motto: No bonuses!
Time and place: 02.01.2006, "U Rozvarilu" restaurant, Prague, Na Porici (4.00pm-7.30pm)

Chairman: -
Attendance: Jirka Hrdina, Ales Nekvinda, Lubos Pick, Honza Rehacek, Mirko Rokyta
Guests: -

Abstract program:

  1. Let A1, A2, ..., An be n points on the unit circle and assumpe that for all interior points P the product |A1P|...|AnP|<=2. Show that the n points are the vertices of the regular n-gon. (M.R.)
  2. A player A thinks a polynomial with natural coefficients. The player B can ask about the value of the polynomial at an arbitrary real number. How many questions does the player B need to get all the coefficients? (A.N.)

Concrete program:

Pearls of the seminar: I'll have filet with a double...ummm...not sure yet what, but it will definitely be a double. (L.P.)
Unsolved Problems: -
Awards/Remarks: -


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