Botanical Shapes Generatedby 3rd Data Structure, “Poker“

Toshiki Takahashi2013/01/31

wyc@tmtoc.com

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