What is signal? Preparation 2 Signal 8 / Over Edition / 15 January 2019

15/01/2019 19:23
What is signal? 
The existence that generates language
 
TANAKA Akio
SRFL Paper
Tokyo

21 November - 12 January 2019
 
 

 

 
Original Title
 
 
 
What is signal? A mathematical model of nerve  
0
 
 
Preparation 1-15
 
 
For father and mother 
 
 

 
 
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Preface, Preparation and Preparation 2 6 Understandability
 
 
 

Preparation 2

 
 
7
Understandability 2
 
Understandability of signal and language is dependant on time processing.
Finite time is generally understandable for human or human assisted machine.
In case of infinite time, what situation occur to understandability?
I once think about infinity's details at the next two papers at von Neumann Algebra 3 in 2007.
 
 
On infinity and finiteness in language, I have not total image through mathematical approach.
I ever wrote several papers related with meaning and time in language.
Picked-up applicable  papers are the next.

Language, Word, Distance, Meaning and Meaning Minimum / Proto Arithmetic Geometry Language  2009  
Loop Time of Character / Time of WANG Guowei  2011
Finiteness of Words /   Diophantine Language  2012
Word as Infinite Loop Space / Infinite Loop Space Language  2012

8
Signal

At this paper, signal is belonged to human world not belonged to outer world or universe.But Signal itself exists to go abroad to the widely opened worlds or universe.
Understanding signal may be able to possess if there be energy which dispatch to the outer.
Decipherment of the all the signals maybe a dream but the routes to decipher areternally remained by the very human ourselves. 
Refer to the next.
Basis of the further study on language - Potential  2009

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The Days of Decipherment

31/07/2016 14:46
The Days of Decipherment

TANAKA Akio

On 20 July 2016 I went Tokyo National Museum, Ueno Park, Tokyo to see the exhibition AJOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE, where I saw the linear A and B. It reminds me the youth days, so to say, the days of decipherment.

1960s -1970s is the age of decipherment in a sense. I was age 20 in 1967 and was learning language and literature at university. In 1958 John Chadwick's THE DECIPHERMENT OF LINEAR B was published from Cambridge University Press. At the preface of the book he wrote that the decipherment of linear B was told  at Documents in Mycenaean Greek (Cambridge University Press, 1956) and Michael Ventris that deciphered the Linear B.

In the same age in Japan, Xixia wenzi (Xixia characters) in China was deciphered byNISHIDA Tatsuo (1928-2012) who wrote the analysis and grammar of Xixia characters through the paper Seikamoji no bunseki narabini Seikago bunpou no kenkyuu in 1962.
In almost the same time, Inca characters were studying to decipher. I frequently heard that Russian team developed largely.

In early 1970s I frequently went to Kanda, Tokyo where old bookshops were selling vast Oriental books at the Hakusan street and Yasukuni Street. I bought Chinese classics, especially linguistic classics written in the Qing dynasty and I read them almost every day containing the comparison with the western linguistic results. The Qing dynasty's heritage were DUAN Yucai, WANG Niansun, WANG Yingzhi and WANG Guowei and so forth. DUAN Yucai's Showenjezi zhu and WANG Guowei's Guantang jilin  were the most important for me.

In France, 1960s was the days of Bourbaki that was one of the decipher of geometry by algebra, at least I thought so at that time. I sought and bought several Bourbaki's books at the old bookshops in Kanda, Tokyo,which is the largest old bookshop streets in Japan. But from my ability to mathematics Bourbaki was too much difficult to read on. From the days the long and winding road began to mathematics and its applicable study for language universals.

At the exhibition of ancient Greece I confirmed in particular that the stability of language was  kept by letters and characters from the Linear A and Linear B. 

Exhibition Catalogue numbers are the next.
The numbers 39 and 40 are Linear A. 41 and 77 are Linear B.

39. Clay juglet c. 1800 B.C. ~ c. 1700 B.C.
40. Clay bar c. 1700 B.C. ~ c. 1650 B.C.
41. Clay tablet c. 1375 B.C. ~ c. 1350 B.C.
77. Linear B bar and tablet c. the 13th century B.C.

For my part the stability  has been one of the biggest themes on language phenomena since I was taught from CHINO Eiichi through the results of the Linguistic Circle of Prague, especially of Sergej Karcevskij.

 
The exhibition catalogue and Chadwick's book Japanese translated edition.
 
 
Reference
  1. Essence of Language / SRFL Paper 
  2. Derived Category Language, 26 July 2016 Edition
References 2
Tokyo
30 July 2016
Sekinan Library


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Basis of the further study on language – Potential

01/05/2016 18:46
Basis of the further study on language – Potential 
 
Floer Homology Language 
 
TANAKA Akio 
  
Note1 ​
Potential of Language ​
   ​
¶ Prerequisite conditions ​
Note 6 Homology structure of Word​
  ​
1 ​
(Definition) ​
(Gromov-Witten potential)  ​
 2 ​
(Theorem) ​
(Witten-Dijkggraaf-Verlinde-Verlinde equation)  ​
  ​
3 ​
(Theorem) ​
(Structure of Frobenius manifold) ​
Symplectic manifold     (M, wM) ​
Poincaré duality     < . , . > ​
Product     <V1 V2, V3> = V1V2V3( ) ​
(M, wM) has structure of Frobenius manifold over convergent domain of Gromov-Witten potential. ​
 ​
4 ​
(Theorem) ​
Mk,β (Q1, …, Qk) =  ​
 ​
N(β) expresses Gromov-Witten potential. ​
 ​
  ​
[Image] ​
When Mk,β (Q1, …, Qk) is identified with language, language has potential N(β). ​
     
[Reference] 
Quantum Theory for language / Synopsis / Tokyo January 15, 2004 
 
First designed on   
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 



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