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Logic zoo ws 2013


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Logic zoo ws 2013

  1. 1. Botanical Shapes Generated by 3rd Data Structure, “Poker“ Toshiki Takahashi 2013/01/31
  2. 2. Agenda 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. What is Poker? Sheaf & Stack, Queue Quiet Erlang Queue theory ⊂ Fluid dynamics Data structure ≡ Fluid dynamics Poker algorithm Slot, Casino, Bridge, Sevens, Concentration… Botanical lifecycle math Future Acknowledgements
  3. 3. What is Poker? Selection
  4. 4. Sheaf & Stack, Queue Sheaf: Stack Queue
  5. 5. Quiet Erlang “Queue Theory” Nordic region ・IKEA ・NOKIA ・H&M ・great welfare “yield” design A. K. Erlang (1878-1929)
  6. 6. Queue theory ⊂ Fluid dynamics interpretting Erlang’s true intention literally… Classical Definition λ・・・wave length μ・・・friction   . ρ・・・density P・・・pressure k・・・wave number (de Broglie 1924) … Basic data structure ≡ Fluid dynamics !!
  7. 7. Data structure ≡ Fluid dynamics Tube Hole Poker Fluid dynamics
  8. 8. Poker algorithm Array[N]={a, b, c,…}; for(k={0..N}){ Selection=MAX[Array[k]]; do(Selection); Selection--; } Poker
  9. 9. Slot, Casino, Bridge, Sevens, Concentration… 7 1 2 3 4 Slot Sevens Casino Bridge Concentration
  10. 10. Botanical lifecycle math Data structure Life science Botanical shape Slot Antibody (S. Tonegawa) Germ 芽 Stalk 茎 Branch 枝 Leaf 葉 Flower 花 Fruit 実 Casino Poker Bridge Sevens Concentration iPSC (S. Yamanaka) Physarum (T. Nakagaki) Fragment (R. Okazaki) Differentiation (M. Asashima) Evolution (M. Kimura)
  11. 11. Future 1. Quantum fluid dynamics :unit structure defined by category theory :quantization of Erlang’s equation 2. Other data structures & natural algorithms :complex probability & information :extraction rules from games (card, roulette..) 3. Mathematics of morphology :botanical shapes on development :somatic tissue morphogenesis
  12. 12. Acknowledgements Thanks for sensible discussions with Hirohisa Nishiwaki, Yosuke Matsui, Yuji Mori, Manaka Oosone (ANDOR Co., Ltd.) Taeka Ujino (Meiji Pharm. Univ.) Takuya Toyoshima, Soichiro Watanabe, Satoe Ishii, Members of Watanabe Lab (Toho Univ.)
  13. 13. Appendix Stack Queue Poker
  14. 14. Appendix