70th Analytic Beer

Abstract program:

1. Prediction Theory Problem (R.K.) (unsolved)
2. Prove: limsup [(a_{n+1} + 1)/a_n ]^a_n >= e for any sequence a_n that diverges to infinity (R.K.) (solved)
3. Chinese Banquet Problem (R.K.): n people eat A meals, share between two B meals, share among 3 C meals,..., and share among m-people M meals. What is the smallest number of meals for a permissible configuration (n,m)? What is an asymptotic formula? (solved: n ln(m))
4. Repetition of the talk about geometrical problems from AB69 for Ron.
5. Repetition of the Rudin's problem from AB69.
6. Three men, two condoms, one woman, three veneric diseases and mutual desire. Is it solvable? Is it solvable for arbitrary data? (R.K.)
7. Discussion about selected problems from the past ABs. (all)

Concrete program:

• 10^o Krusovice (tmava) and 12^o Krusovice (light), tea, coffee,
• garlic soup (3x), deer steak with cranberries, gooseberry soup, potatoe croquets and potatoe soup (3x); Czech tidbits (1x); pancakes, "little coffins" (desert)

1. "Let's have a coffee break and a coffin break". (M.R.)
2. Everything ends with a coffin. (L.P.)
3. "Oh, dear (deer)" (M.R., upon seeing the deer steak)