Friday 31 July 2015

Tachikawa Youth Days For SAEKI Shizuto

Tachikawa Youth Days
For SAEKI Shizuto  

TANAKA Akio
                                   
Tachikawa is the largest city of the west Tokyo area now . I spent high school days at this city. But the scenery at the surrounding of station has changed so big and speedy. My old days' image cannot be seen anywhere  around here. At that time I used the south gate, that was rather lonesome and only a few people walked even at the main street after evening.
Now the pedestrian decks have spread in all directions. Near the station vast number bicycles are parked for business persons and students. Surely half a century passed by. It is very natural to be changed in all phases. Old person must see the vigorous long view calmly standing at the deck. The monorail train are passing over the city streets carrying many people that gather and leave the city.
After graduated university I came back to Tachikawa for working job. My dear old coffee shop "Road" is vanished perfectly, where I often talked on our present and future with my best friend and colleague SAEKI Shizuto till closed time when Auld Lang Syne was playing.

Tokyo
11 October 2012
Sekinan Research Field of Language

vide: Henry the Fourth, For SAEKI Shizuto and Shakespeare
8 March 2015 Revised
Sekinan Library
Picture

Site History of Sekinan Tokyo

Site History

Wednesday 29 July 2015

Sekinan Study Paper Tokyo 2015

Sekinan Study Paper 

Tokyo
2015 


Study result of 
Sekinan Library
Sekinan Research Field of Language 
Zoho 

Sekinan Study Paper is the paper site of Sekinan Library and Sekinan Research Field of Language.
Sekinan Library was founded at Tachikawa, Tokyo in 1986 for the study of language.
In 2003, for the specialized study of language universals, Sekinan Research Field of Language was added at Hakuba, Nagano.  

Blog for Paper
Blog for News
Picture
The summer of Kirigamine Highlands, Nagano, Japan.
 I have stayed and written the early time papers at the lodge nearby.

Monday 27 July 2015

Quantum space through Poisson manifold's deformation quantization by Kontsevich

Quantum space through Poisson manifold's deformation quantization by Kontsevich

TANAKA Akio
From Print 2012, Chapter 18

対称性。それはかつてCと繰り返し話した内容だ。1920年代のプラハ。雑誌TCLPに載ったカルツェフスキイの論文、「言語記号の非対称的二重性」。言語が保持し続けるところの、それによって言語が言語であり続けるところの、絶対的に矛盾する柔構造と硬構造の共存。言語において二重に内在し続けるだろう永遠の矛盾。言語がかくも柔軟でかくも堅固でいられるのはなぜか、そのほとんど絶対的に矛盾するかともおもわれる二重性をカルツェフスキイは提示した。Cがその最後の本の中でただ一人天才と称した言語学者、セルゲイ・カルツェフスキイが残した白眉の論考。

なぜこの共存が可能なのか、この二重性に対する整合的な理解は今もなお、たぶん提出されていない。これに比して世界の量子化quantizationについては着実な進展があった。

深谷によれば、コンツェヴィッチは1997年の論文で形式性予想を提示し、2003年の論文に至って、みずからその予想を証明した。「ポアッソン多様体の変形量子化」。深谷は彼の本の中でその証明の概略をRの場合に限って述べている。証明の全容は計り知れない。量子による空間、それももう夢ではないかもしれない。


Source: Tale / Print by LI Koh / 27 January 2012

Reference:
Quantization of Language / 24 June 2009


Komaba Park, Tokyo in midafternoon
3 July 2014

Tokyo
4 June 2015

Saturday 25 July 2015

Thanks to physics about which I ever dreamt in my future

Thanks to physics about which I ever dreamt in my future


TANAKA Akio

In the days of high school, I deeply dreamt that someday physics would perfectly write over this world's phenomena by the clearest descriptions. So I longed for studying physics in the future. But I selected language's diverse wideness at the university, from where returning the clear descriptive situation represented by physics needed long and winding road for me. Now in my mind probably language and physics or mathematics are happily live together constructing the world's one main frame. I wonder why I took so much time to reach here. Long time ago, at least Pascal's days, philosophy and mathematics were both sides of shield for solving the world's hard problems. It is very appropriate that the fact is solved from every fields not being partitioned any artificial walls. Philosophy may be solved by mathematics and mathematics may opened by physical phenomenon. Now they all became common sense. Only I reached here delaying rather late. I am now situated in tranquil field. Thanks to so many pioneers, especially in mathematics. Also to physics about which I ever dreamt in my future.

References:
  1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
  2. To my dear friend, KANEKO Yutaka / 22 May 2013
  3. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 
  4. Language, Amalgamation of Mathematics and Physics / 15 April 2014
  5. Perhaps Return to Physics /16 August 2014
  6. Winding road to physics / 10 April 2015

Tokyo
25 July 2015 Reprint
Sekinan Study

Sekinan Study Essay Tokyo 2014

Sekinan Study Essay 

Tokyo
2014

Sekinan Study Essay  is the essay site of Sekinan Library and Sekinan Research Field of Language. Sekinan Library was founded in 1986 at Tachikawa, Tokyo. In 2003 Sekinan Library added Sekinan Research Field of Language for the further study of language at Hakuba, Nagano, Japan, aiming to study language universals using contemporary mathematical results. 

Recent Essay

Thursday 23 July 2015

Genealogical Tree 23July2015 Edition

Genealogical Tree 

TANAKA Akio

Tokyo
16 July 2015
Sekinan Study
..............................................................................................................................

Genealogical Tree 

Manuscript of Quantum Theory for Language
|
On Time Property Inherent in Characters
|
Quantum Theory for Language
|                                                |
Distance Theory                      Property of Quantum
|                                                 |
Prague Theory                        Quantification of Quantum
|
Reversion Theory
|
Mirror Theory
|
Mirror Language
|
Guarantee of Language
|
Actual Language and Imaginary Language
|
Direction
|
Uniformity
|
Changeability
|
Individuality
|
Time
|
Fixation
|
Grammar
|
Substantiality
|
Frame
|
Recognition
|
Ideogram
|
Conversation
|
Descriptiveness
|
Lineation
|
System
|
Automaton
|
Vector

|
Cell Theory
     |
     From Cell to Manifold <For LEIBNIZ and JAKOBSON>     
     Conifold as Word     
     Projective Space as Scheme for Word Order 
     |
Algebraic Linguistics
     |     
     Sentence versus Word
     Deep Fissure between Word and Sentence
     |

Distance Theory Algebraically Supplemented
     |
     Bend     
     Distance <Direct Succession of Distance Theory>
     S3 and Hoph Map 
     |
Noncommutative Distance Theory
     |
     Groupoid     C*-Algebra
     Point Space     Atiyah’s Axiomatic System
     Kontsevich Invariant
      |
Clifford Algebra
      |
     From Super Space to Quantization
     Anti-automorphism
     Anti-self-dual Form
     Dirac Operator
     TOMONAGA's Super Multi-time Theory 
     Periodicity
     Creation Operator and Annihilation Operator
     Meaning Product 
     |
Kac-Moody Lie Algebra 

     |
     Kac-Moody Lie Algebra
     Quantum Group
     Finiteness in Infinity on Language
     |
Operator Algebra

     |
     Differential Operator and Symbol
     <One Paper lost>
     Self-adjoint and Symmetry 
     Frame Operator             
     Order of Word     
     Grammar     
     Recognition
     |
von Neumann Algebra
     |

     von Neumann Algebra 1
      Measure
     Tensor Product
     Compact Operator 

     von Neumann Algebra 2
     Generation Theorem
     von Neumann Algebra 3
     Properly Infinite
     Purely Infinite
     von Neumann Algebra 4
     Tomita's Fundamental Theorem
     Borchers' Theorem
     Relation between Word and Sentence
     |
Functional Analysis
     |
     Functional Analysis 
     Baire's Category Theorem
     Equality and Inequality
     Space
     Functional
     Finiteness of Vocabulary
     Distance at Hypersurface     
     Functional Analysis 2
     Pre-Hilbert Space and Hilbert Space
     Orthogonal Decomposition
     Generation of Word
      |
Reversion Analysis Theory
      |
      
      Reversion Analysis Theory      
      Reversion Analysis Theory 2
      |
Holomorphic Meaning Theory
      |

      Holomorphic Meaning Theory
      Holomorphic Meaning Theory 2
      |
Stochastic Meaning Theory
      |

      Stochastic Meaning Theory      
      Stochastic Meaning Theory 2
      Stochastic Meaning Theory 3
      Stochastic Meaning Theory 4
      Stochastic Meaning Theory 5
      
      Stochastic Meaning Theory Conjecture 1
      Stochastic Meaning Theory Conjecture 2 

      |
Energy Distance Theory
      |

      Energy and Distance
      Heat and Diffusion
      Energy and Functional
      Finsler Manifold and Distance
      Word and Meaning Minimum

      Geometry of Word  
      |
Complex Manifold Deformation Theory
      |

      Distance of Word
      Reflection of Word
      Uniqueness of Word
      Amplitude of Meaning Minimum
      Time of Word
      Orbit of Word

      Map between Words
      Understandability of Language

     |
Language Manifold Theory
     |
     Moser's Theorem
     |
Topological Group Language Theory

     |
     Word Problem of Word-hyperbolic Group 
     From Finiteness to Infinity on Language
     
     Boundary of Words 
     |
Symplectic Language Theory
     |

     Symplectic Topological Existence Theorem     
     Gromov-Witten Invariant     
     Mirror Symmetry Conjecture on Rational Curve     
     Isomorphism of Map Sequence     
     Generating Function  (Text lost)   
     Homological Mirror Symmetry Conjecture by KONTSEVICH
    Structure of Meaning
    On Structure
    |
Floer Homology Language
    |
    Potential of Language
   Supersymmetric Harmonic Oscillator
   Grothendieck Group
   Reversibility of Language
   Homology Generation of Language
   Homology Structure of Word
   Quantization of Language
   Discreteness of Language
   |
Proto Algebraic Geometry Language   
   |   
   Language, Word, Distance, Meaning and Meaning Minimum
   |

   |
Projective Space Model
   |
   Vector Bundle Model
   | 
   |
    |
Hyperbolic Language
   |
   |
Grassmann Language
   |
   Grassmann Language
   Grassmann Language   |
   Grassmann Language 2   Elements of Word
   |
Birational Language, Dual Language
   |
   Birational Language
   Birational Language
   Dual Language
   Duality of Language
   |
   |    
   Parts and Whole (AGL Preface)     
   Dimension of Language (AGL 1)       
   Synthesis of Meaning and Transition of Dimension (AGL 2)       
   Birth of Word, Synthesis of Meaning and Dimension of New Word (AGL 3)                     Dimension Conjecture at Synthesis of Meaning (AGL 4)        
   Three conjectures for dimension, synthesis and reversion with root and supplement
   |
At least three elements for language universals
   |
   Disposition of Language
   Distance of Word
   Flow of Language
   Papers for Language Dimension, In chronological order
   Preparation for the energy of language

............................................................................................................................................


The Tree is unfinished.

Tokyo
18 July 2015
Sekinan Study