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Botanical Shapes Generated
by 3rd Data Structure, “Poker“
Toshiki Takahashi
2013/01/31
wyc@tmtoc.com
Agenda
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

What is Poker?
Sheaf & Stack, Queue
Quiet Erlang
Queue theory ⊂ Fluid dynamics
Data...
What is Poker?
Selection
Sheaf & Stack, Queue
Sheaf:

Stack

Queue
Quiet Erlang

“Queue Theory”
Nordic region
・IKEA
・NOKIA
・H&M
・great welfare
“yield” design
A. K. Erlang (1878-1929)
Queue theory ⊂ Fluid dynamics
interpretting Erlang’s true intention literally…
Classical Definition

λ・・・wave length
μ・・・f...
Data structure ≡ Fluid dynamics
Tube
Hole

Poker

Fluid dynamics
Poker algorithm

Array[N]={a, b, c,…};
for(k={0..N}){
Selection=MAX[Array[k]];
do(Selection);
Selection--;
}
Poker
Slot, Casino, Bridge, Sevens, Concentration…
7
1
2
3
4
Slot

Sevens

Casino

Bridge

Concentration
Botanical lifecycle math
Data structure

Life science

Botanical shape

Slot

Antibody
(S. Tonegawa)

Germ
芽
Stalk
茎
Branc...
Future
1. Quantum fluid dynamics
:unit structure defined by category theory
:quantization of Erlang’s equation
2. Other da...
Acknowledgements
Thanks for sensible discussions with
Hirohisa Nishiwaki, Yosuke Matsui, Yuji
Mori, Manaka Oosone (ANDOR C...
Appendix

Stack

Queue

Poker
Appendix
Nächste SlideShare
Wird geladen in …5
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Logic zoo ws 2013

  1. 1. Botanical Shapes Generated by 3rd Data Structure, “Poker“ Toshiki Takahashi 2013/01/31 wyc@tmtoc.com
  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

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