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Saturday, 2 February 2019

Ode to Kanda 2012

Ode to Kanda
“I need not more wander the book shop streets.” / From Tale, Print, 2012
This tale was written by TANAKA Akio, pen-named LI Koh in autumn 2012 for remembering the poor but brilliant youth time of myself. This is one of my favourite phrases in this tale.
The book shop streets described in the tale is Kanda, Tokyo, which is located in the central Tokyo, where I frequently walked seeking the old Chinese classic books for the study from Oriental way of linguistics. In late 1960s, the streetcars were surely running in the old fashioned streets of Kanda, now perfectly changed to the subway streets.
From Print 2012, Chapter 10
もはや本屋街をさまようことはない。I need not more wander the book shop streets. 対象は私のうちにある。The object exists in my mind. 私はただこの運河をながめていればいい。I would better watch the canal. 遍歴は終わった。Wandering is over now.  たぶん永遠にマイスターにはなれないだろうが、みずからの小さな仕事場で、日が落ちるまで作業をすればいい。Perhaps I would not become meister  forever. In my narrow working place, I ‘d better do my work till sunset. すると仕事場の窓辺を聖者が通って行く。 So out of the window by the working place,  the saint passes by. かつてそんなロシアの民話を読んだ。I ever read the Russian folk tale like that.
秋の日ぐれは早い。The Autumn evening is fast. 路面電車のヘッドランプがまぶしいくらいだ。The headlight of streetcar  is dazzling. 黄褐色の窓に少ない乗客が照らし出され、古本屋街の方へ消えて行った。In the yellow-lighten window the passengers are picked out by the light. The car disappeared  to the book streets. 駅の売店がにぎやかな橙の光に包まれている。The station shop is also lighted up by the yard’s busy orange light.
40 years passed from I read WANG Guowei / 16 November 2013
Prague in 1920s, The Linguistic Circle of Prague and Sergej Karcevskij’s paper “Du dualisme asymetrique du signe linguistique” / Print, 2012
Tokyo
26 November 2014
SIL


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Floer Homology Language Note7 Quantization of Language​ ​ 2009

Floer Homology Language 
    
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Note7 
Quantization of Language​
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Theorem​
1​
(Barannikov, Kontsevich 1998)​
<.,.>, ° defines structure of Frobenius manifold at neighborhood of H's origin.​
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2​
(Kontsevich 2003)​
There exists φk : EkΠ2(Γ(M;Ω(M))) → Π2CD(A, A), k = 2, ... .​
 is L∞ map.​
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Explanation​
1​
(Local coordinates of Poisson structure)​
{f, g} ​
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2​
(Map)​
{.,.} : C∞ × C∞  →C∞​
The map  has next conditions.​
(i)   {.,.} is R bilinear,{f, g} = - {g, f}.​
(ii)  Jacobi law is satisfied.​
(iii) {f, gh} = g{f, h} + h{f, g}​
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3​
(Gerstenharber bracket)​​
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4
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5​
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6
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7​
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8​
(  )​
Manifold     M= R2n​
Coordinates     p, q​
Differential form     w = dqidpi​
Subset of C∞( R2n )        A​
Element of A       F    ​
Differential operator of R2n      D(F)
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D({F, G}) ≡ [D({F}, D({G}]​
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[Image 1]​
Quantization of language is defined by theorem (Kontsevich 2003).​
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[Image 2]​
Complex unit  is seemed to be essential for mirror symmetry of language by explanation 
8.​
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[References] 

Inspiration The Time of Quantum 2008-2012

Inspiration   
The Time of Quantum

TANAKA Akio

In August  2003, I went to Hakuba in Nagano prefecture for the summer vacation with my family.  At that time I had been thinking on the form of language for which I wrote the paper,  that connects with time inherent in characters, in March 2003 also at Hakuba.

At night of August 23 in cottage, I casually saw the advertising paper of electric dictionary.  The paper was brought from the convenience store near  the cottage in the evening. The dictionary  on the paper was Seiko’s English-Japanese dictionary that has additionally consultation for Chinese or French language with large scale. I vaguely considered that after this dictionaries are necessarily taken these multi-lingual way.

At the time I suddenly  realized that the form of language may be spherical style in which language contains all the information in itself.That was rather satisfied solution for the tough problem of language that I had been carrying in my life from my twenties.

I wrote the sketch-like paper of the theoretical approach after returning home of Tokyo. The paper was read at the international symposium of UNESCO opened in winter 2003 at Nara. In the paper, the spherical substance of language is seemed to be quantum in DELBRUCK’s image-like physical world. After 5 years from the inspiration at summer of Hakuba,  now I consider that spherical essence is manifold in infinite dimensional world.

Now I also realize that the toughest problem of language is minutely solvable in mathematical approach that has structurally definable terms.

Tokyo
September 29, 2008
Sekinan Research Field of Language 

[January 23, 2012]
The title changed.
The former title is “From Quantum to Manifold”.
[Postscript. January 25,2012]
On quantization of Language.
Refer to the next.
Quantization of Language 
Picture
 
Climbing to the Happoike Highland Pond, Nagano
Afar seen the Hakuba Range
Photo taken at 24 August 2013


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Friday, 1 February 2019

From Distance to Pseudo-Kobayashi-Distance 2012

From Distance to Pseudo-Kobayashi-Distance  

All the thanks are due to CHINO Eiichi, my life time teacher.



TANAKA Akio
             
                     
In 2004 I wrote the paper titled "Distance Theory"
The paper handled the structure of sentence, using the classical written Chinese for its formal simplicity that has not any transformation at word.
In Chinese, word namely character, does not change anymore. Nevertheless grammatical functions strictly exist by its sequence of characters.

I had been very interesting the style of language that never appears in the European languages. But the study for it was too hard to pursue at my age 20s and 30s by my talent.

In 1979, I met CHINO Eiichi again at the university to where I returned from the work of teaching at senior high school. He taught me the importance of the Linguistic Circle of Prague.

We talked with many problems of language study at the campus or coffee shop near the station we usually got on and off . The shop were old and steps were always sounded rattling. The light of the shop were dim and yellowed with age.

We were both young, he was late 40s and I was early 30s.
Before these days we already met at the Russian class. The time was 1969, he taught us the language in the tiny classroom. Then he was just after, coming back from the long study at Czechoslovakia.

From 1979, he had actively introduced the Linguistic Circle of Prague while studying his own subjects. It was a really happy time for me. He told us at the class of linguistics and told me more frankly at the coffee shop on the various themes related with language .Prague was always at the center in the conversation.

I gradually went on to the narrow theme concerned with language universals.  What decisively entered to my mind was Sergej Karcevskij. If there only be Saussure, I could not determined so smoothly.

In my age 30s, 1980s, I had been wandering to and fro at Kanda, the central part Tokyo, where I encountered many Chinese classics at the Chinese book shops. From my familiar language I wanted to research the study on the subject. But  there were no clear road to going ahead.  I had hoped concise and clear description on the theme, if I wish, using mathematics.

In 1960s, in my front, Bourbaki emerged the huge target that was built by the vast from-set-theory-to-topology. At the time's going my level was very low and primitive. I was never able to use such a difficult mathematics.

I spent the lag time in 1970s. reading Chinese classic books at random. The main was Qing dynasty's Xiaoxue (Small study) on Chinese characters classical research.

In 1990s, the target of language study decided to language universals, being led by Sergej Karcevskij for that almost all the information were given from CHINO.

At that time mathematics were going on and on to the wide and deep fields covering the humanities, e.g. category, sheaf and discreteness.

In March 2003 I stayed some days at Hakuba, Nagano, where I wrote the proto-paper on language model for the first time, titled " On Time Property Inherent in Characters". It treated the unchanging language, Chinese, as the typical one for its simplicity and familiarity in my life.

The paper's main theme was time that is hypothetically  inherent in each character in Chinese. The basis of the theory was in the study of WANG Guowei's ancient Chinese inscriptions on bone and tortoiseshell.

In order to possess grammar in unchanging language, there should be the another functions to express grammar or near -grammar. I selected inherent time in each character supposedly.

In August 2003, I also stayed at Hakuba, where I wrote "Quantum Theory for Language". It was the enlarged paper of the March's one. There intuitive long-short times were supposed. There was any description of mathematics. But important points were presented, I thought. The problem was how precisely go the theory using mathematics.

In 2004 I wrote " Distance Theory" from the viewpoint of clear concept using distance instead of time that was not able to mention enough descriptively.

But the theory was also intuitive and philosophical one. I never satisfied the expression.  The theory's essentials were distance and connection, that is to say, words connect according by the distance inherent in words.

Succeeding this theory, I tried to write many fields on language making the efficient models for natural language, namely language universals in my mind, being led by Karcevskij.

Hereafter the main target was the mathematical description for many varieties that were almost intuitively remained or noted.

Now I use algebraic or arithmetic one for their strict simplicity and beauty. Recently I wrote in distance from pseudo-Kobayashi-distance that was very fantastic and widely perspective views for me. The paper's title is 'Connection of Words", that is my long winding road from encountering CHINO and Linguistic Circle of Prague.

Grateful thanks to CHINO Eiichi. You wrote "Linguistics of the 21th Century" in  1998,  four years before your death, that there are studies undergoing to be able to understand meaning by combination of several elements. Still now I am your student and probably forever.

[Reference]
Distance of Language Historical Review
Tokyo
February 5, 2012
Musashino Park, Fuchu, Tokyo
17 August 2017


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Essay on WANG Guowei 2017

Essay on WANG Guowei

TANAKA Akio


I have occasionally written on WANG Guowei who has given me the origin of language study.
I first met his writing in the early 1970s when I just became the high school's teacher at age the early 20s. His main writings were contained at the selected works of WANG Guowei which was titled Guantang jilin. I bought it the bookshop Haifeng 海風 at Kanda Tokyo, which had mainly handled Taiwan's classical literary books. Later there I also bought the Complete Works of WANG Guowei. Entering 1980s newly edited his complete Works has be newly published from the People's Republic of China. But I only bought one of them, Letter which has been one of the most favourite books on language study till now.

For more details, refer to the next.


Tokyo
14 December 2017
Geometrization language


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Essay on WANG Guowei :: SRFL Essay

Essay on WANG Guowei :: SRFL Essay

Now I am Enough Old for Remembering the Past 2012

Now I am Enough Old for Remembering the Past  

TANAKA Akio


               
                         
Recently I read Susan Sontag's WHERE THE STRESS FALLS, 2001. The impression is a little different with the other books.
I was never the good reader of her, but her existence was always strong and had glittered.
The time was Sixties that contained the infinite things in it.
Now I am enough old for remembering the time.
She wrote a fine essay on the time, 
Thirty Years Later ... , 1996. The pages are short but sufficient to describe the time that was infinite and endless.
Her life was probably shiny in those days, while my Sixties was always under the tiny dim light.
At the place where I was, the long view never could be seen. I never thought on the things as I was very coward and was fluttered even at the very tiny event of the time. I was infirm and timidity.

What I could do at that time was to read or turn the pages of the text books of some foreign languages.
How little and shallow heart I had, pitiable and poor existence. Probably till now.










Tokyo
27 September 2012