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TRANSCRIPT
Botanical Shapes Generatedby 3rd Data Structure, “Poker“
Toshiki Takahashi2013/01/31
Agenda
1. What is Poker?2. Sheaf & Stack, Queue3. Quiet Erlang4. Queue theory ⊂ Fluid dynamics5. Data structure ≡ Fluid dynamics6. Poker algorithm7. Slot, Casino, Bridge, Sevens, Concentration…8. Botanical lifecycle math9. Future10. Acknowledgements
What is Poker?
Selection
Sheaf & Stack, Queue
Sheaf:
Stack Queue
Quiet Erlang
A. K. Erlang (1878-1929)
“Queue Theory”
Nordic region・IKEA・NOKIA・H&M・great welfare
“yield” design
Queue theory ⊂ Fluid dynamics
λ・・・wave lengthμ・・・frictionρ・・・densityP・・・pressurek・・・wave number (de Broglie 1924)…
Basic data structure ≡ Fluid dynamics !!
interpretting Erlang’s true intention literally…
.
Classical Definition
Data structure ≡ Fluid dynamics
Fluid dynamicsPoker
Hole
Tube
Poker algorithm
Poker
Array[N]={a, b, c,…};for(k={0..N}){
Selection=MAX[Array[k]];do(Selection);Selection--;
}
Slot, Casino, Bridge, Sevens, Concentration…
Slot Casino Bridge
Sevens Concentration
43217
Botanical lifecycle math
Data structure Life science Botanical shape
SlotAntibody
(S. Tonegawa)Germ芽
CasinoiPSC
(S. Yamanaka)Stalk茎
PokerPhysarum
(T. Nakagaki)Branch枝
BridgeFragment
(R. Okazaki)Leaf葉
SevensDifferentiation(M. Asashima)
Flower花
ConcentrationEvolution
(M. Kimura)Fruit実
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
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.)
Stack Queue Poker
Appendix
Appendix