Monday, 29 August 2022

Stonesouth: Haiku for the winter solstice

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Stonesouth: Floer Homology Language ​Note 4 Reversibility of Language

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Stonesouth: Symbolic Repetition

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Stonesouth: Haiku for summer’s end

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Stonesouth: Under the Dim Light

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Sunday, 28 August 2022

Stonesouth: Haiku for summer 2013

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Friday, 26 August 2022

Sekinan Table: Symbolism of Japan, Haiku again

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Thursday, 25 August 2022

Sekinan Table: The Days of Decipherment

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Tuesday, 23 August 2022

From Gromov-Witten invariant to quantum cohomology ring and Gromov-Witten potential, in the centre considered homological mirror symmetry

 Tuesday, 23 August 2022

From Gromov-Witten invariant to quantum cohomology ring and Gromov-Witten potential, in the centre considered homological mirror symmetry


From Print 2012, Chapter 15


He considered the direction of work. Create a simple model. The model is graphically represented. Figures are represented by geometry. Geometry follows Kenji Fukaya as ``a group and the space in which it acts''. The appeal of Fukaya's books is that you can always confirm and look at such fundamental things.

By referring to Jacobson's "semantic minimum" and setting a geometric "meaning minimum" and moving time t in a closed interval, we can create a geometric Defined the word word. He repeated this direction many times at different geometric levels.

The universality of language has approached the invariant of mathematics. From Fukaya's book, I learned that the quantum cohomology ring can be obtained from the Gromov-Witten invariant, and the Gromov-Witten potential can be obtained. Language approached mathematics and physics. It has become possible to precisely check symmetry, which has long been a concern. At its center was the homological mirror symmetry by Kontsevich.


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

Reference:

Reference 2:


References 3:

From Gromov-Witten invariant to quantum cohomology ring and Gromov-Witten potential, in the centre considered homological mirror symmetry

From Gromov-Witten invariant to quantum cohomology ring and Gromov-Witten potential, in the centre considered homological mirror symmetry


From Print 2012, Chapter 15


彼は作業の方向を考えた。簡潔なモデルをつくる。そのモデルは図形で表わす。図形は幾何で表記する。幾何は深谷賢治に従って、「群とそれが作用する空間の組」とした。そういう根本的なことを常に確認し展望することができるのが深谷の本の魅力だった。

ヤーコブソンの「意味最小体」semantic minimumを参考にして、幾何的な「意味の最小単位」meaning minimumを設定し、閉区間closed intervalで時間tを動かすことによって、時間を意味として包括する幾何的な語wordを定義した。この方向を異なる幾何のレベルで、幾度も繰り返した。

言語の普遍性は数学の不変量invariantに接近した。深谷の本で、グロモフ‐ウィッテン不変量Gromov-Witten invariantから量子コホモロジー環quantum cohomology ringが得られ、さらにグロモフ‐ウィッテンポテンシャルGromov-Witten potentialが得られることを知った。言語は数学と物理に接近した。むかしから気になっていた対称性も精密に点検できるようになった。その中心にコンツェヴィッチによるホモロジー的ミラー対称性homological mirror symmetryがあった。


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

Reference:

Reference 2:


References 3:

Monday, 22 August 2022

Sekinan Table: Ideogram, 21 Century's pivot theme

Sekinan Table: Ideogram, 21 Century's pivot theme:   Ideogram, 21 Century's pivot theme   20/04/2017   Cherry blossom season came again everywhere in Tokyo.  We went to several famous che...

LETTER TO WPM ON AIM FOR THE STUDY OF LANGUAGE 4 FEBRUARY 2020 / P.S. P.P.S. P.S. 3 ADDED 8 FEBRUARY 2020 / P.S. 4 added 9 August 2021

 LETTER TO WPM ON AIM FOR THE STUDY OF LANGUAGE 4 FEBRUARY 2020 / P.S. P.P.S. P.S. 3 ADDED 8 FEBRUARY 2020 / P.S. 4 added 9 August 2021


Letter to WPM On aim for the study of language

Dear WPM,
Thanks a lot for your frequent RT of my uploads.
I do not know the value of my posts for your kindness.
But I feel till now that the only cause that I have been able to keep on writing is the next attitude on language, which was written under the several sad occurrences to the children involved in dispute or plague in the world.

Language and Spacetime 
Language Definition for the Child who Lost the World 
TANAKA Akio

0 The world spreads around the human being.
1 Language divides the world.
2 Language connects the world.
3 Language bends the world.
4 Language stretches the world.
5 Language shrinks the world.
6 Language extinguishes the world.
7 Language creates the world.
8 Language gives despair.
9 Language gives hope.
10 Language is pasting on spacetime with energy.

Postscript
[Referential note / November 29, 2007]
For Authentication of Solidity 
[Definition added / November 3, 2008]
Definition 10, the part of <with energy> is newly added. 

Tokyo March 3, 2007
Tokyo November 3, 2008 Added

Read more: https://srfl-lab.webnode.com/news/language-definition-for-the-child-who-lost-the-world/
I have a high regard for your unchangeable eagerness to languages for the strong basis of mutual understanding in this world.
Yours sincerely,
4 February 2020
The first day of spring, Old lunar calendar in Japan
T. A.
Tokyo
SRFL


P.S.
Language Definition for the Child who Lost the World  is the first paper of the Paper group, Language and Spacetime, which subtitle is Relation between Language and Time. Contents are the following. The group’s theme is distinctly described at the 9th paper, Time Flows in Word, which is dedicated to mathematician KOHARI Akihiro who had lived the difficult days of 1960s and died 1971 at age 40 .
Language and Spacetime 
TANAKA Akio
Relation between Language and Time
Language   Definition for the Child who Lost the World
Word Containing Time and 4 Dimensional Sphere
<Dedicated to MACLANE>
Structure of Word
<From KARCEVSKIJ to MACLANE>
4 Generation of Sentence
<For WANG Guowei and CELAN Paul>
5 Description of Meaning
<6th Time for KARCEVSKIJ Sergej>
6 Shift of Time
<From SAPIR Edward to KAWAMATA Yujiro>
Construction of Spacetime  
   Especially on Transformation with boundary for  Dimensions
Stability of Language
Time Flow in Word
 <For KOHARI Akihiro and His Time>

Read more: https://srfl-paper.webnode.com/news/language-and-spacetime/
P.P.S.
5 February 2020

How did I spend the late 1960s?

I was a student of university, so I had enough time in the late 60s.
But the real state of mine was in very poor and coward situation.
I ever wrote several essays related with 60s.

Read
Susan Sontag
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.
If her life was able to be shine, 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 read or turned pages of the text books of some foreign languages.
How little and shallow heart I had, pitiable and poor existence. Probably till now.

References
Under the Dim Light
Sixties, For Susan Sontag

Tokyo
27 September 2012
9 August 2017 Revised
Sekinan Research Field of Language

Read more: https://srfl-essay.webnode.com/news/read-susan-sontag-now-i-am-enough-old-for-remembering-the-past/
Sixties, For Susan Sontag  
TANAKA Akio                                        
On Sixties, Susan Sontag wrote in her book, WHERE THE STRESS FALLS, 2001 as the following.

Perhaps the most interesting characteristic of the time now labeled the Sixties was that there was no little nostalgia. In that sense, it was indeed a utopian moment.

From “Thirty Years Later…”  Surely I also think that it was a utopian moment, not utopia everlasting.Someone ever said at a book, ” We were loose change.” Surely we were all loose change for a utopian moment. This is the great dedication to Sontag from me. We have lived in a same time though I was extremely coward far away than her to the time and myself. 

27 September 2012
Sekinan Research Field of Language

[Note]
30 November 2014 Note added
SIL 

Sixties are precious times for me though full of exactly heartbreaking events.
At first, using all the university’s summer holidays in 1969, I read three times, one of the Japanese classics, Ochikubo Monogatari, in English Dark Hole Story written in Heian Times some 1,000 years ago, faithfully following the teach of  Japanese classic literature Scholar YAMAGISHI Tokuhei by the precise annotated text.

The scholar lent me his valuable collation text of NAKAMURA Shuko in his library. Before beginning the holidays he said to me like admonishment that selection of one classic in the vast literary heritage was alike a meeting with a fiancée, walking to the station from the university in the clear summer evening.

And I sometimes read the modern Chinese novels, Luxun or Maodun, thinking on the Beijing’s old days, of which CHEN Donghai taught us how to hear the Beijing Opera sitting the chair facing sideways to the stage.

In university I met CHINO Eiichi at the small room for Russian language in 1969.I met KAJIMURA Hideki at his Korean class and Natary Muravjova at her Russian class in the next year.

I learnt alone the composition of French by the text of MAEDA Yoichi at the university’s library, who indicated me the splendid world of French language and philosophy while reading Pascal’s Penséeslittle by little, almost all the days outside afar demonstrations of eager students to politics. It is the reason for I was coward in those days.

Read more: https://srfl-essay.webnode.com/news/sixties-for-susan-sontag/
Bourbaki’ ELEMENTS DE MATHEMATIUE
THÉORIE DES ENSEMBLES
Fascicule de résultats
Troisieme édition, 1964

TANAKA Akio

Bourbaki’s ELEMENTS DE MATHEMATIUE, THEORIE DES ENSEMBLES is the datum of my mathematical thinking in youth time in the late 1960s to the early 1970s. So I was also one of the product of the  Bourbaki’s age.
I have confirmed that the basis of mathematics is in the freedom as the saying of Cantor. This book reflects the great flow from Cantor.

Also refer to the next.

Tokyo
3 October 2012
Sekinan Research Field of Language

Read more: https://srfl-paper.webnode.com/products/bourbaki-elements-de-mathematiue-theorie-des-ensembles/


The Time of Language
Ode to The Early Bourbaki To Grothendieck


TANAKA Akio 
In early 1970s, I had think of language from the side of mathematics, that level of mine is very low and primitive, moreover I never had any talent to mathematics.
But my eager to trying the approach was going to overcome hard barriers before me. So the route had really fascinated my mind for long time.

At that time I had read Chinese classics almost every day. WANG Guowei*, DUAN Yucai and WANG Yingzhi. They were giants on Chinese language historically and modernly.
On the other hand I had thought of language generally, not defined by Chinese.
But in front of the vast world of language, I had stood still lonely, not taking any method for approaching.
Mathematics was the only gleam of hope in the wasteland.

I never took the route of ordinary linguistics.
I really dreamt a dream that time.
There exists set theory before me.
Probably there was the influence of Bourbaki**, that several translations to Japanese, shared from Tokyo Tosho Publisher, were on the desk of mine.
My talent and endeavour were so low, so I had not any results at that time.
My desire was deep but my hand was so shallow.
The time passed by.

In 1979 the meeting again with CHINO Eiichi*** made me the chance to learn on language, the object was clear and direct.
Language universals by mathematics became the never-ending goal of the study hereafter.
Sergej Karcevskij**** gave me the courage to the research.
All the way to investigation were taught from CHINO, who was the genuine teacher on language.
In mathematics I took the route from geometry, especially by projection.
Now I stand at algebraic geometry.
Grothendieck is in the northernmost at the end of Bourbaki.

SAITO Takeshi said at the essay on Grothendieck***** that the object of mathematics for Bourbaki was the set of being attached by construction and the object of mathematics for Grothendieck was the object of category representing the presentable functor.
The time has come for describing****** on language by mathematics despite my poor ability.
Sincere thanks for the pioneers letting us make the fascinating route of modern mathematics.

1. *WANG Guowei
Encounter in life / A Letter /2005
Influenced paper / On Time Property Inherent in Characters / 2003 , Quantum Theory for Language / 2004
2. **Bourbaki
SAITO Takeshi. Bourbaki, Mathematics Seminar, vol.41 no.4 487. Nihonhyoronsha, Tokyo, 2002.
3.***CHINO Eiicji
First met in 1969, again in 1979. Fortuitous Meeting
4. ****Sergej Karcevskij
Note on Karcevskij’s theme. Note for KARCEVSKIJ Sergej’s “Dudualisme asymetrique du signe linguistique”
5. *****Grothendieck
SAITO Takeshi. Grothendieck, Mathematics Seminar, vol.49 no.5 584. Nihonhyoronsha, Tokyo, 2010.
6. ******describing
Note on Grothendieck’s theorem. Vector Bundle Model

Tokyo
January 10, 2012
Sekinan Research Field of Language


[Note, 28 October 2014]
When I first learnt French in 1964, I was the second grade of high school. My aim to learning was to get the lowest readable situation for modern poems of French Symbolism represented by Arthur Rimbaud and Paul Verlaine.

Afterwards in 1969 I knew the importance of Martinet’s work at the linguistic class of university. Probably in the early 1970s, I bought Bourbaki’s books at the old-book-shop at Kanda, Tokyo, when Bourbaki’s fame reached to the poor-talented linguistic student like me.

I was enchanted Bourbaki’s works and I somehow would like to adopt their results to my linguistic study. But my mathematical level was too low to get near Bourbaki’s world. From those days my wandering around mathematics and linguistics kept long long way like the Beatles song, The long and winding road.

What I again met mathematics, especially algebraic algebra was already over the twentieth century. From 2003 I began to write papers being assisted with CHINO Eiichi’s advice and Sergej Karcevskij’s work. At that times Chinese Qing dynasty’s vast linguistic works topically represented by WANG Guowei was also assisting my study.

At the result my first satisfied paper, “On Time Property Inherent in Characters”1 was completed. The theme in my life, model making of  language universals was begun further later in 2008 at Zoho site 2 sekinanlogos 3. At Complex Manifold Deformation Theory 4 I started writing more clearer descriptive papers by mathematics especially according to algebraic geometry. And now I step up one more and entered in arithmetic geometry for solving more difficult themes such as dimension, synthesis and fusion of meaning in word.Refer to the next.
  1. On Time Property Inherent in Characters
  2. Zoho site
  3. sekinanlogos
  4. Complex Manifold Deformation Theory
  5. Arithmetic geometry

 [Note 2 2 May 2019]
5 years passed from I wrote Note at October 2014.The situation for the research changed rather largely.I and wife became older and I become 72 years old this summer while the both have illness.We often go to the hospital for the treatment for what I often think that all the illness are probably on the nerves which make persistent flows in our body, which inevitably need energy for fluidity.At these circumstances  I began to write a new paper titled What is signal? The existence that generates language,What is signal?, original title,   What is signal? A mathematical model of nerve. The text is the next.
https://srfl-theory.webnode.com/news/what-is-signal-total-edition-21-november-2018-23-april-2019/

So far I have thought of language at the point from language universals which are the most fantastic theme for me. But illness and its base nerve showed me the new site of language that is the real base of language. It was the signal which has energy and flows and hatch language in the human being.
Now I stand back at the manuscript written in 2003 at Hakba, Nagano, Japan titled Manuscript of Quantum Theory for Language. The text is the next.
https://srfl-paper.webnode.com/news/manuscript-of-quantum-theory-for-language-with-preface-note-and-note-2-2003-2018/

Quantum is the real kernel of my research, by which signal and language may be  unifiedly constructed for human being.
Tokyo
2 May 2019
Sekinan Library

Read more: https://srflnote.webnode.com/news/the-time-of-language-ode-to-the-early-bourbaki-to-grothendieck-note-and-note-2-added/
Read more: https://srfl-paper.webnode.com/news/the-time-of-language-ode-to-the-early-bourbaki-to-grothendieck-note-and-note-2-added/
P.S. 3
Dear WPM,
Late 1960s were poor and coward days all over for me, being mentioned at the upper essays.
I had not any clear and accurate objects of study although strongly hoped to find in those days.

I ever wrote those days’ especially 1970’s boundless irritation at the letter to an acquaintance, quoting a poem written by KIYOOKA Takayuki who was one of the finest lilic poets in the post-war days after 1950s. Its title was At the campus of university, by which I had scarcely keep expectation to my future. He wrote in the last lines that  he meets with the whole life object of learning as he meets with his beloved person in his life.
But my whole life object was not found in entering the new 21st century.

In March 2003, I spent several days at the hotel of Nagano Prefecture with my family mainly for skiing. I only stayed at the room and wrote a new idea of language study floating from Chinese old characters’ classical linguistic results in the Qing dynasty, being invoked especially by DUAN Yucai and WANG Guowei. The written memo was afterwards titled as
Manuscript of Quantum Theory for LANGUAGE.

At a international symposium opened at Nara in December 2003, I presented a paper titled Quantum Theory for LANGUAGE, that was more clearly mentioned and developed than the memo written at March.

Now in 2020, I stand at QNT Quantum-Nerve Theory.
From KIYOOKA’s stanza in 1970, 50 years past by.

How long and winding road it was.
The Beatles sang really a youth’s truth beyond doubt.


At the campus of university
Abstract from The letter to O. again

TANAKA Akio
In your letter, you wrote that you would read the books comfortably not selling the old books of your work. I have also felt the same feeling so I bought  Development of the modern poems written by ANDO Tsuguo who was the fine teacher of literature at the university and I once went to his home thinking to hear his intimate voice on poem and literature. He was one of the most typical poet and critic in the present age of Japan.
And now I would want to read KIYOOKA Takayuki’s collected poems, that was ever read in my youth.
In autumn 1970 I was the senior of university, when the next spring I would graduate, I met with the thick French binding KIYOOKA’s collected poems  at the well drop-in bookshop of Hachioji, Tokyo. At that time I could not yet find my whole life object of learning.
In his book, I read a long poem titled “at the campus of university” in which he wrote that he meets with the whole life object of learning as he meets with his beloved person in his life.
The next spring 1971 I graduated the university, when I could not find any object at the campus while I ruminated KIYOOKA’s stanza.
What I really met with my whole life object was already entered in the 21 century at my age 56 in 2003 after much trial and error. It was language universals that was ever taught from CHINO Eiichi who was the real life time teacher of mine and the successor of the Linguistic Circle of Prague, who spent 7 year study at Prague.
https://srfl-essay.webnode.com/news/from-distance-to-pseudo-kobayashi-distance/
Sergej Karcevskij gave me the great  hint of approach to language universals through the famous paper titled “Du Dualisme asymétrique du signe linguistique” 1929.
In 2003 I wrote a paper titled ” Quantum Theory for Language” after some trial papers, ” On Time Property Inherent in Characters”, ” Manuscript of Quantum Theory for Language” .
In 2004 I wrote two attached papers, ” Distance Theory” and “Reversion Theory”.

The proper papers’ URL is the next.
https://geometrization-language.webnode.com/products/manuscript-of-quantum-theory-for-language-note-added1/
https://sekinanlibrary.weebly.com/on-time-property-inherent-in-characters.html
https://srflnote.webnode.com/news/quantum-theory-for-language-15-january-2004/

After the suggestion of CHINO, I have tried the very hard road of writing style using mathematical base assisted from many contemporary mathematician works,especially at the field of algebraic geometry.
The paper ” Quantum Theory for Language” was selected one of the 4 oral presentations of the linguistic field of a international symposium focused on the Silk Road.
On Karcevskij and CHINO I wrote a tiny paper, ” Prague in 1920″ which was dedicated the two as a token of my cordially gratitude.
https://sekinancomment.weebly.com/prague-in-1920s.html
Tokyo
2 January 2018
TANAKA Akio
Sekinan Library


Dear WPM,
It is a my tiny story of 1960s and its afterwards.
Cordially,

8 February 2020
T.A.
At Tokyo

Read more: https://srfl-essay.webnode.com/news/letter-to-wpm-with-p-s-3-and-qnt-how-long-and-winding-road-it-was-8-february-2020



P.S. 4
Dear WPM,
Time rapidly One and half year passed by.
Now is August 2021.

I am preparing a revised theory from QNT Quantum-Nerve Theory.
New direction turned to Energy-Nerve Theory that is started from physical phenomenon, Energy.
Energy is a real root of human activity, that is smoothly taken in mathematics by Perelman’s fine result.

The concept of the theory was thought at the paper Macro Time and Micro Time.
Its short text is the following.


Macro Time and Micro Time

TANAKA Akio

24 July 2013

1.
Through natural language, in human being, occurred the electrical signal by eye or ear. These complex situations are beyond this paper’s limits.
2.
Language is a physical object as signal and its transmission. At this circumstances, language must be recognised to be the existence that has finite time.
3.
An apple on the desk gradually becomes rotten by passing the time very after the crop in the orchard. #0
4.
Like an apple, language has passing physical time in oneself.
5.
Language is metamorphosed  by the time progressing.  #1
6.
Language includes the outer world from human being to universe. At this declaration, I recall Blaise  Pascal’s Pensées. XXXIII. PROOFS OF JESUS CHRIST 308 The infinite distance between body and mind symbolizes the infinitely more infinite distance between mind and charity, for charity is supernatural. (Translated by A.J. Krailsheimer, 1966) #2
7.
Language’s time goes freely from the present to the future or the present to the past. #3
8.
Language symbolises the time from finiteness to infinity. #4
9.
Human being recognises this vast language world perfectly. #5

References
#0 
For WITTGENSTEIN Ludwig Position of Language / December 10, 2005 – August 3, 2012 / Sekinan Research Field of Language
#1
Time of Word / Complex Manifold Deformation Theory / January 1, 2009 / sekinanlogos
#2
PASCAL PENSÉES. Translated with an introduction by A.J. Krailsheimer. PENGUIN BOOKS 1966.
#3
Escalator language and Time For SHINRAN’s Idea and BOHDISATTVA / Escalator Language Theory / December 16, 2006 / Sekinan Research Field of Language
#4 
From Finiteness to Infinity on Language / Topological Group Theory / February 1, 2009 / sekinanlogos
#5 
Understandability of Language / Complex Manifold Deformation Theory /January 9, 2009 / sekinanlogos




Source:https://atbankofdam.wiki.zoho.com/Macro-Time-and-Micro-Time.html/
To be continued.
Read more: https://srfl-paper.webnode.com/news/macro-time-and-micro-time/

WPM, I at first entered to human’s electric signal, energy from mathematical quantum group that was founded by Drinfel’d and Jimbo in 1985. But from this approach I could not smoothly take energy in mathematical especially geometry. Perelman’s supreme results between 2002 and 2003 resolved this hard barrier between physics and mathematics, using thermodynamics. Perelman’s grand history of originality is now overviewed by the next 2 Uploads at this Sekinan View.


1.
Work of Perelman
2.
Three books of Perelman’s work and life

Several important key terms of Perelman are shown at my site , Geometrization Language.
Key terms are the next.

Perelman’s Approach 1
Perelman’s Approach 2


My next sites show some of the preparatory work for a new theory, Energy-Nerve Theory.
1.
Portal – ENSILA

2.
Family – ENSILA Energy

3.
Specialised 2 – Sekinan Geometry

4.
Specialised 3 – Sekinan Energy

5.
Specialised 4 – Sekinan Nerve



Preparatory papers of geometrical approach are also shown at the site ENSILA.

PaperPaper 2003-2019
Blog

————————————————————————--

Main paper is the next.
What is signal?
Total Edition
21 November 2018-23 April 2019


————————————————————————–



Yours sincerely,
Tokyo
T.A.
ENSILA