Monday 30 March 2015

Basis of the further study on language - Potential

Floer Homology Language


 
 
 
Note 1 
Potential of Language 
 
  
¶ Prerequisite conditions 
Note 6 Homology structure of Word / Tokyo June 16, 2009 / Floer Homology Language
 
 
1 
(Definition) 
(Gromov-Witten potential)  
 
2 
(Theorem) 
(Witten-Dijkggraaf-Verlinde-Verlinde equation)  
 
 
3 
(Theorem) 
(Structure of Frobenius manifold) 
Symplectic manifold     (MwM
Poincaré duality     < . , . > 
Product     <V1°V2V3> = V1V2V3) 
(MwM) has structure of Frobenius manifold over convergent domain of Gromov-Witten potential. 
 
4 
(Theorem) 
Mk (Q1, ..., Qk) =  
 
N(β) expresses Gromov-Witten potential. 
 
  
[Image] 
When Mk (Q1, ..., Qk) is identified with language, language has potential N(β). 
    
[Reference]


First designed on <Energy of language>
Tokyo April 29, 2009


Newly planned on further visibility 
Tokyo June 16, 2009 

Sekinan Research Field of Language
[Note, 31 March 2015]
This paper was first designed for energy of language. But at that time, I could not write the proper approach from the concept of energy by mathematical process. So I wrote the paper through the concept of potential. Probably energy is one of the most fundamental factors on language. In 2003 I wrote Quantum Theory for Language , before which I wrote the manuscript focusing the concept of quantum abstracted from the ideogram of classical Chinese written language. The last target of manuscript was energy and meaning of quantum that was the ultimate unit of language.
Refer to the next.
Manuscript of Quantum Theory for Language. Hakuba, Nagano. March 2003

Time in Word

TANAKA Akio

Time inherent in word has been one of the most fantastic theme for me for a long period. WANG Guowei’s paper was strongly hinted to the theme towards first writing a trial paper on it. Roman Jakobson was also gave me the basic notion related with the theme. Still now the problem has not solved as the starting point. But being aided by mathematical method and description,  learning on it has become more attractive in these days.


Tokyo
24 October 2013
SIL
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[Note]
When I wrote this essay, "Time in Word" in the autumn of 2013, the relation between time and dimension cannot be thought clearly but now in 2014 I distinctly think that the relation exists at the situation of synthesis of the new meaning on the old meaning. The four papers of Arithmetic Geometry Language written between 4 September 2013 and 9 September 2013 are indicating the affinity with time and dimension. Now I show the compact paper in the four, titled " Synthesis Meaning and Transition of Dimension".


Four papers of Arithmetic Geometry Language are the following.

Arithmetic Geometry Language (Abbreviated AGL)

Tokyo
17 November 2014
SIL
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[Note 2]
The relation between time and dimension is now arranged at the following paper.

The overview of time in language is now shown at the following paper.

On WANG Guowei and Roman Jakobson, refer to the next.


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[Note 3]
Essay "Pleasure of Mathematics" includes time notion related with Brownian motion.



Tokyo
3 December 2014
15 December 2014, Note 3 added
SIL

Language and Dimension

TANAKA Akio

1.
History
Language and dimension seem to have relation at mathematical based thinking. The clue is language's going round and round in circles like the Crete's Lie.

I have thought on the relation probably from 2008 with the minimum unit of meaning, which I called "meaning minimum". One of the papers at those days are at the next.
Clear writing on dimension is very hard for me at the defined lo level's mathematics. After several years I had some stock on writing tools and thinking basis by mathematics, especially algebraic geometry. Some results are the following.


2.
Arithmetic Geometry
In 2013 I set to work in earnest to learn arithmetic geometry for solving the hard problem. The next are the  results of learning, titled Arithmetic Geometry Language (AGL)

  1. Dimension of Language (AGL 1)
  2. Synthesis of Meaning and Transition of Dimension (AGL 2)
  3. Birth of Word, Synthesis of Meaning and Dimension of New Word (AGL 3)
  4. Dimension Conjecture at synthesis of Meaning (AGL 4)

3.
Conjectures
From my study of AGL, I arranged the next three conjectures for the next step. They are the most important themes of my study.


Three Conjectures


For details, refer to the next.


4.
Prospects after this
Over dimension, synthesis and reversion, I have thought on some important concepts of language, potential, quantization, discreteness and so forth. These concepts would perhaps open the possibility of further understanding of language and its surroundings.
I have written several trial papers for studying the concepts like the following.



5.
Conclusion at present
Roger Penrose' said at THE ROAD TO REALITY A Complete Guide to the Laws of the Universe, 2005,  "We cannot get any deep understanding of the laws that govern the physical world without entering the world of mathematics." 


In my youth, I was deeply impressed with Ludwig Wittgenstein, from whom I was strongly affected at thinking  and writing  style of the study.



Tokyo
6 December 2014
SILessay

Sunday 29 March 2015

SRFL News: Blog

SRFL News: Blog: Blog atbankofdam/Blogger   SRFLNews/Blogger     SRFLData/WordPress   atbankofdamagain/WordPress

SRFL News: Link

SRFL News: Link: SRFL Sekinan Research Field of Language  ( Home site) SIL Sekinan Institute of Language (The second home site) SRFLNote (Supplementa...

SRFL News: Zoho

SRFL News: Zoho: Zoho sites belonged to SRFL Sekinan Research Field of Language shows the mathematical approach to language universals and their surrounding...

Papa Wonderful. Dedication: To this little house. Author: RI Kohr

Papa Wonderful
すてきなおとうさん

Cover: Papa Wonderful すてきなおとうさん
Dedication: To this little house この小さな家に 

Author: RI Kohr 里行


01 はじまり
02  春の雨
03 沈丁花
04 丘陵
05 新しい家
06 兄弟
07 ランニング
08 居間
09 ソファー
10 庭
11 バラの日々
12 植物画
13 レパートリ
14 観葉植物
15 レンガの道
16 松村おばさん
17 百瀬先生
18 佐藤さん
19 近代
20 大学
21 歴史
22 ツバメ
23 贈り物
24 麦畑
25 外国語
26 キャンプの準備
27 コンピュータ
28 時代
29 強制終了
30 再会
31- 01 一冊の本
31- 02 一冊の本・続き
32 自由選択
33 秋の庭
34 つぼみ
35 フォークリフト
36 お月見
37 写真
38 声門閉鎖
39 十月の花
40 研究会
41 市民講座
42 譚嗣同
43 歴史における自由
44 世界表現
45 一回性と自由性
46 待合室で読む本
47 意味
48 手紙
49 時雨
50 クリスマス・リース
51 部屋飾り
52 歳晩
53 見知らないあなたへ
54 雑踏
55 いつかまた

Saturday 28 March 2015

Essay from Sekinan Library 4

Mathematical Approach

  1. Time in Word
  2. Language and Dimension
  3. The days when I was thinking on Energy Distance Theory
  4. For WITTGENSTEIN Ludwig Revised with Symplectic Language Theory and Floer Homology Language
  5. Pleasure of Mathematics 
  6. The days of von Neumann Algebra
  7. The days between von Neumann Algebra and Complex Manifold Deformation Theory
  8. What facts does Three Conjectures for Dimension, Synthesis and Reversion show us?

Essay from Sekinan Library 3 - Sapir, Jakobson, Karcevskij, Wittgenstein, Grothendieck, Karlgren, Ono and Chino

Language and Pioneers
 - Sapir, Jakobson, Karcevskij, Wittgenstein, Grothendieck, Karlgren, Ono and Chino


  1. Edward Sapir, Language, 1921
  2. Meaning Minimum
  3. ONO Shinobu and Bernhard Karlgren
  4. Prague in 1920s
  5. Non-symmetry, 1920s' Prague and Sergej Karcevskij's "Du dualisme asymetrique du signe linguistique"
  6. The Time of language - Ode to The Early Bourbaki and Grothendieck
  7. The Time of WITTGENSTEIN 
  8. Citation from Ludwig Wittgenstein

Essay from Sekinan Library 2

Crossroads in Life


  • SRFL Sekinan Research Field of Language

Important Themes Hereinafter

  1. Disposition of Language
  2. Distance of Word
  3. Flow of Language

CHINO, Karcevskij and Prague

  1. Half Farewell to the Linguistic Circle of Prague and Sergej Karcevskij
  2. I need not more wander the bookshop streets
  3. Prague in 1920s
  4. CHINO Eiichi and Golden Prague
  5. Coffee shop named California
Enchanted with language and mathematics
  1. Andre Martinet
  2. Charles Bally 
  3. Read Andre Weil 
  4. Bourbaki' ELEMENTS DE MATHEMATIUE Troisieme edition, 1964 
  5. The Time of Language Ode to The Early Bourbaki To Grothendieck  Note added 

Wandering between language and philosophy


1.

  1. For WITTGENSTEIN Revised / Position of Language / 10 December 2005 - 3 August 2012
  2. The Time of Wittgenstein /20 January 2012
  3. Citation from Ludwig Wittgenstein / 7 February 2012
  4. THE ROAD TO REALITY A Complete Guide to the Laws of the Universe, 2005 by Roger Penrose / 25 October 2012
2.
  1. The First Paper on Inherent Time in Word / 26 July 2014
  2. 40 years passed from I read WANG Guowei / 16 November 2013
  3. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 / With References
3.
  1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
  2. Edward Sapir's Language, 1921 / 5 September 2014
  3. Macro Time and Micro Time / 24 July 2013
4.
  1. Roman Jakobson / 16 July 2012

Winding road to physics

1.

  1. Now I am Enough Old for Remembering the Past / 27 September 2012
2.
  1. To my dear friend, KANEKO Yutaka / 22 May 2013
  2. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 
  3. Perhaps Return to Physics /16 August 2014
3.
  1. Distance Theory Algebraically Supplemented / Brane Simplified Model / Bend /17 October 2007
  2. Distance Theory Algebraically Supplemented / Brane Simplified Model / Distance / 26 October 2007 
4.
  1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
  2. Language, Amalgamation of Mathematics and Physics / 15 April 2014
5. 
  1. The Complete Works of TANIYAMA Yutaka,1994 / 11 November 2012
  2. Description / 15 August 2013

Essay from Sekinan Library

Book and Library

  1. Hurrying up to library
  2. Tradition of Dictionary

Wednesday 25 March 2015

Papa Wonderful. 1999. A Story of a Family in the West of Tokyo

Papa wonderful was written up in 1999, which showed a little history of a family lived in the west of Tokyo in 1990s. The author is RI Kohor that is the pen-name of TANAKA Akio who has written several papers on language and its surroundings at Sekinan Library and Sekinan Research Field of Language. Reprinting the story at this time means that in thought of author the 20th century had gone far away only 15 years entering to the 21th century. 20th century is now a dear memory at least for me and my family. Tokyo, 25 March 2015.
...........................................................................................................................................
1999
RI Kohr

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Tokyo
25 March 2015
Sekinan Library