What is signal? The existence that generates language
Preface, Preparation, Preparation 2, References, Main Issue 1-5, Anticipation - FAQ
and Comment
Completed Edition
21 November 2018 - 13 April 2019
TANAKA Akio
Sekinan Library
Tokyo
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What is signal? A mathematical model of nerve โ
21 November 2018
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Contents
Refer upper Editions.
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Main Issue will be written from the angle of Quantum group.
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Derived Category Language, 23 July 2016 Edition
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Main Issue 3
Broad language
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- Why is boundary necessary in language?
- Boundary of Words
- Frame-Sentence Language Boundary
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Main Issue 5
Time and ideogram
Contents
- On Time Property Inherent in Characters
- Aurora Theory Distance and Time <Language Multi-Time Conjecture 3> 5th Time for KARCEVSKIJ
-
From Gauss Plane to Aurora
Dictoron Quantum and Trace [AT1]
Dictoron and Aurora
๏ผLanguage is aurora dancing above us.> [AT2]
Aurora and Curvature [AT3]
Dictoron as Language quantum [AT4]
Aurora and Riemann Sphere [AT5]
Limitation of Meaning [AT7]
Aurora Plane [AT8]
Word, Phrase and Sentence
๏ผLanguage Multi-Time Conjecture 2> [AT10]
Distance and Time
๏ผLanguage Multi-Time Conjecture 3> 5th Time for KARCEVSKIJ [AT11]
-
From Gauss Plane to Aurora 2
Opened Time and Closed Time Revised For WANG Guowei and DELBRรCK Max [ATT4-2]
Ideogram Paperโ
- Ideogram 2005
- Egyptian Hieroglyph Exhibition, Journey through the Afterlife Ancient Egyptian Book of the Dead by The British Museum 2012
- Macro Time and Micro Time 2013
- Essence of Language 2016
- The Days of Decipherment 2016
- The Days of Ideogram 2017
- The Days of Ideogram 2017
- The comparison between 2003 and 2017 From Chinese character's meaning structure to Homological algebraic model of language universals 2017
- Letter to Y. Toward geometrization of language 2018
- Letter to Y. Of Broad Language 4th edition 2018
- Determination of the concept, Broad Language 2018
- Ars longa Seeing Masterpieces o f French Landscape Paintings from the Pushkin State Museum of Fine Arts, Moscow 2018
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Contents
Anticipation
- Presupposition on Natural Language
- Sayama Assumption on Language
FAQ
Read more: https://srfl-lab.webnode.com/products/what-problems-are-there-on-language-universals/
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Text 1
Presupposition on Natural Language
1.
Language is variable. If it be true, what is the base of variability?
2.
Language is pronounceable. If it be true, what is emerged by pronounced?
3.
Language is recordable. If it be true, what is emerged by recorded?
4.
Example.
An apple is variable and will be rotten by time proceeding.
An apple is pronounced at a glossary shop and will be bought by a homemaker.
An apple is recordable and will be recorded in a photo.
5.
What distinguishes language from apple? The answer is uncertain. So I make the language models parting from natural language.
Read more: https://srfl-paper.webnode.com/news/presupposition-on-natural-language/
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Text 2
Sayama Assumption on Language
1. Language is changeable.*1
2. Language has substance. Because it is changeable.*2
3. Language has time. Because it is changeable.*3
4. Language has boundary. Because it is substance.*4
5. Language has structure. Because it is substance.*5
6. Language is describable. Because it is substance.*6
Read more: https://srfl-paper.webnode.com/news/sayama-assumption-on-language/
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Text 3
Symplectic Language Theory
For HORI Tatsuo, Footprints on the snow, 1946โ
Why do you think that language has structure?โ
a liar. The situation suggests that if language has structure and we see the structure's
whole, there is no more problem in the upper funny but radical story.โ
Do you mention that language has dimensions in it for preventing the confusion?โ
_Surely dimension is an important factor of structure. But language is a vast building in
which all the logisc and all the feelings are expressible for all the hope of human beings.โ
Then how the structure is built, do you imagine?โ
hypothesis is said that language has function. Function is inevitably occurred following after
the completion of structure, I think.โ
Do you say that from the observation of language function is adequately acceptable for
Then on inner structure of language, what do you think?โ
_At first, language has meaning. But it was put aside by Prague Linguistic Circle as the
hardest problem on language for its ambiguity as MATHESIUS V. gave the famous lecture,
Latency ofใlanguage phenomena, 1911. I attracted the theme, language has ambiguity.โ
Did you go to Prague? โ
_No. I only heard on PLC from CHINO Eiichi. He learned linguistics at Prague, from 1958
to 1967. He gave me the basis of linguistics after his returning to Tokyo. I first met him at
Tokyo 1969. I learned Russian at that time in the small class. He was young at 37, and I
also young too at 21. โ
You really respect CHINO.โ
_I remember him respectfully, but more frequently merrily, for his fantastic conversation to
the younger beginner, studying language from various fields, from art to classical languages
On language, ambiguity is important?โ
_Undoubtedly. CHINO gave me the concept of asymmetric dualism of linguistic sign. The
asymรฉtrique du signe linguistique", Travaux du Cercle Linguistique de Prague 1.โ
From ambiguity to structure, through what course did you choose?โ
I dearly remember CHINO's warm advice "not to enter such a theme that are firstly treated
by WITTGENSTEIN-like person. We are not invited", backing to the railway station from
the university, after his lecture on linguistics at early summer twilight. โ
is your starting point, I recognized. After that, To where did you go?โ
_At first, from set theory. I ever learned it mainly from TAKEUCHI Gaishi's papers. Now I
yet like his approch to the mathematical object. And I, at that time, also came under the
That course was productive to you?โ
_It is a difficult question. For first step of my study, partly yes and mostly no.โ
_For me the most important is the relation between s. But set theory
is not efficient for that direction.โ
Is relation important?โ
_Back to MATHESIUS's or KARCEVSKIJ's , there exists
relationship between one meaning and another meaning. For me, this relationship is not
able to be handled by my set theory's level. But set theory is enough charming for its
And where did you go to the next?โ
_ Geometry. It is the most natural and fantastic approach by its freely intuitive methods. โ
Intuition is surely familiar. But selection is only done by such reason?โ
_I have not any other choices at considering my mathematical level then.โ
Geometry was respondent to your hope?โ
_Yes, absolutely yes. As people say that geometry is a heimat of mathematics, I really
Geometry is more easily way to approach for you?โ
_Repeatedly say, I have not any choices at that time. Meeting with geometry, I often wrote
various figures containing topological ones, for instance at on the train to the town in which
mother is under medical care.โ
Such drawings can express language's validity?โ
_Much interesting to express but the themes containing validity of language and so forth are
_Relationship among language inside is far away beyond my amateurishly imaginary
_I came here, at my present mathematical situation as PENROSE Roger said in his book THE
ROAD TO REALITY, that mathematics is the most highly investigational way for the study of
universe. His confidence to mathematics is put up on my home page of sekinan.org.โ
Where do you stand now?โ
Why do you stand there?โ
_Also natural for me. And freely thinkable.โ
Freely thinkable, what imagine by that?โ
_Mathematics is radically free. Just like a wind at high lands, far-sighted and transparent.โ
_Yes,perfectly transparent. In contrast with language. Language is always having ambiguity.โ
Ambiguous language and transparent mathematics.โ
Read more: https://srfl-theory.webnode.com/news/why-do-you-think-that-language-has-structure/
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Text 4
Where is the change's power or energy?
Read more: https://srfl-theory.webnode.com/news/where-is-the-changes-power-or-energy/
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Text 5
Why is boundary necessary in language?
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1.
I have thought of language as a physic existence that has inevitably boundary to the outer world.
My question is simple and primitive. I ever wrote about the change of language - If there be change, there are exactly the situations before change and after change. Just where does changing substance exist? In the essay, rotten apple was used as the symbol of changing language.
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Presupposition on Natural Language
TANAKA Akio
1.
Language is variable. If it be true, what is the base of variability?
2.
Language is pronounceable. If it be true, what is emerged by pronounced?
3.
Language is recordable. If it be true, what is emerged by recorded?
4.
Example.
An apple is variable and will be rotten by time proceeding.
An apple is pronounced at a glossary shop and will be bought by a home-maker.
An apple is recordable and will be recorded in a photo.
5.
What distinguishes language from apple? The answer is uncertain. So I make the language models parting from natural language.
Reference
For WITTGENSTEIN Ludwig / Position of Language / 10 December 2005-3 August 2012
Tokyo
22 August 2012
Sekinan Research Field of Languageใ
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2.
Language&s substantiality has been considered since I returned to the mathematical approach for learn language universals from the utterly beginning. In 2005 I wrote a tiny trial paper on the substantiality of language for thinking the study course hereafter.
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Substantiality
Dedicated to SAPIR Edward
TANAKA Akio
1 Substance of language is completion which possesses the distance from the real world.
2 The distance is sustained by the fixation for which meaning and time are abstracted.
3 If language has not distance, language appears and disappears following the real world proceeding.
4 Language is substantially unchangeable. Changeability occurs on surrounding.
5 The distance is measured by the longitude from the real world to the substantiality that meaning and time possess.
6 Substantiality is a frame of language.
7 Substantiality is free from the real world.
8 Substantiality is powered by outer energy.
9 Powered substantiality moves complied with possessed command, namely meaning and time.
10 Powered moving substantiality of language is called.
11 The idea of quantum is partially realized by in the supermarket or bookstore.
12 Substantiality is bar code of can or book. Outer energy is bar code reader. Quantum moves in a cash register. Language generates price addition in the real world.
13 Bar code is not language. Bar code is substantiality of language. Bar code does not move by itself. When bar code reader becomes energetic, bar code generates in a cash register. Language, namely, price-additional-work, starts at bookstore of station front in the bustling evening.
Tokyo February 27, 2005
For the Memory of Tanashi Station Front Street February 26, 2005
Sekinan Research Field of Language
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3.
In 2013, I again wrote on the substantiality of language at the new level containing the determinate essence of language, dimension and time. The title is Macro Time and Micro Time. In this paper I thought that dimension is the essential factor of meaning, especially containing Infinitive meaning.
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Macro Time and Micro Time
TANAKA Akio
24 July 2013
atbankofdam
1.
Through natural language, in human being, occurred the electrical signal by eye or ear. These complex situations are beyond this paperโs 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 Pascalโs Pensรฉes. 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.
Languageโs 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 โ August 3, 2012 / Sekinan Research Field of Language
#1 Time of Word / Complex Manifold Deformation Theory / January 1, 2009 / sekinanlogos
#2 PASCAL PENSรES. Translated with an introduction by A.J. Krailsheimer. PENGUIN BOOKS 1966.
#3 Escalator language and Time For SHINRANโs 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.
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4.
Boundary is related with dimension through Poincarรฉ Theorem. Details are next.
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Dual Language
Duality of Language
TANAKA Akio
2. Interpretation
Word := M Boundary of language := p Dual language := and Language :=
3. Explanation
Word is compact and has dimension.
Language has dimension.
Language has boundary.
Boundary makes dual language.
4. References
Distance Theory
Mirror Theory
Guarantee of Language
Tokyo
25 May 2012
Sekinan Research Field of Language
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5.
Relation between boundary and synthesis in language is utterly unknown field for me. Study has just started from the entrance position. Recent results are the next.
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Synthesis Conjecture
TANAKA Akio
Synthesis
1 Conjecture for synthesis of meaning in word
29/09/2013 19:25
For synthesis of meaning in word, Conjecture: Condition for synthesis of meaning in word i s proposed by cohomological expression.
2 Conjecture: Condition for synthesis of meaning in word
29/09/2013 18:38
On condition for synthesis of meaning in word, at conjecture is proposed by the next result of etale cohomology.
Result
โโโโโโโโโโโโโโโโโโ-
Canonical natural equivalence
The next two are left exact additional functors.
F : A -> Aโ
G : Aโ -> Aโ
A and Aโ have enough many injective objects.
If F transfers Aโ s injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF .
โโโโโโโโโโโโโโโโโโโ
Conjecture
Preparation
Word is shown by R . This word is called old word .
Base meaning in word is shown by F .
Word that has base meaning is shown by RF .
Additional meaning to word is shown by G .
Word that has additional meaning is shown by RG . This word is called intermediate word .
Word that has base meaning and additional meaning is shown by R ( G O F ). This word is called new word .
Conjecture
For completion of new word, old word and intermediate word have the condition shown by the canonical natural equivalence of etale cohomology.
3 Canonical natural equivalence
29/09/2013 18:08
Canonical natural equivalence
The next two are left exact additional functors.
F : A -> Aโ
G : Aโ -> Aโ
A and Aโ have enough many injective objects.
If F transfers A โs injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF .
Source: Conjecture for synthesis of meaning in word / sekinanlatest 2013
Tokyo
1 May 2014
Sekinan Research Field of Language
Tokyo
21 December 2014
SIL
Read more: https://srfl-theory.webnode.com/news/why-is-boundary-necessary-in-language/
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Text 6
How is the time alive in language?
1.
When one first hear the existence of time in language, he may doubt its certainty. But I have intuitively believe it since I learned the ancient Chinese inscription on bone ad tortoise shell (in Chinese called Jiaguwen). In my early 20s, I met with the book of Chinese modern linguists, WANG Guowei, this belief changed the conviction. His lifework book Guantangjilin is hard to read till now. But some papers in it are always inspires me by his deep and vast insight to character, language and history of ancient China. He also wrote fine criticism on Chinese pre-modern poem Ci.The title is RenjianCihua. The book is one of my favourite books of Chinese literature. People sometimes say that he was the highest genius after Song Dynasty, 1,000 years.In 2003 I wrote a tiny paper hinted by WANG's paper. It was the first paper for me that I directly faced the time inherent in inscription using Jiaguwen's update linguistic results. The title is " On Time Property Inherent in Characters".
- On Time Property Inherent in Characters / 28 March 2003
2.
In summer 2003, I stayed at Hakuba, Nagano for a while for writing over the paper that was intended to present a symposium at Nara in winter. The paper was taking up the structure of written language that was dealt with the relation between time and grammar. But I did not solve the question on with what shape language exists in the language world. What shape has language and at where space does language exist or float? The theme on space was hard to deal at that time. I only concentrated to the shape in space. At 28 August I was fatigued to think and went for a stroll outside the inn putting up. The place was at the mountain side of the Hakuba Range and there was only one convenience store, where I walked in the shop and saw one advertisement of electric pocket dictionary. I returned having this advert to the inn and read its sentences. At the very time I found the shape of language I sought was sphere that was inherited time in it, also having grammatical functions. The paper's title was named to " Quantum Theory for Language" by the shape of language. This was a really product of clear and fine atmosphere of Hakuba with a distant view of the North Alps of Japan.
- Quantum Theory for Language / 15 January 2004
3.
From 2004 to 2008 I wrote some papers on inscription and language. But I was not satisfied inwardly for the style of intuitive approach to language. I wanted to write more simple and clear expression. For being realised of my wish, I definitely needed to use mathematical tools. I returned to my 20s days' reading of Bourbaki that was desperately difficult for may ability. I again gradually read mathematical books and journals for seeking useful source of my hope to converting to language study. A certain results that came to my papers with satisfaction was appeared in 2008 by the papers titled Complex Manifold Deformation Theory.
- Complex Manifold Deformation Theory / 2008-2009
Above all, the first paper in this group, I first defined the concept, distance by complex manifold.
- Distance of Word / 30 November 2008
The concept of distance was one of the most important themes on language, so I at early times wrote the intuitive paper, "Distance Theory".
- Distance Theory / 5 May 2004
At the fifth paper of Complex Manifold Deformation Theory, I again challenged the hard theme of the time in language, titled to " Time of Word".
- Time of Word / 1 January 2009
4.
The definition of space in which language exists is one hard target for me to write satisfactory. A fixed results came to me at the papers group titles Symplectic Language Theory in 2009.
- Symplectic Language Theory / 2009
In the group, a paper focused on mirror phase on language became one peak for my writing.
- Homological Mirror Symmetry Conjecture by KONTSEVICHโ / 26 April 2009
5.
Related with the shape of language, quantization and discreteness on language was the urgent themes for the further step of studying the total image of language I was pursuing. Floer Homology Language was the one milestone for me to overcome to the next stage.
- Floer Homology Language / 2009
In this group, the eighth paper was dealt with the quantization and discreteness of language.
- Discreteness of Language / 19 July 2009
6.
What situation does the time in language have? This question exists in my mind at the early days when I wrote the paper "On Time Property Inherent in Characters". The first step to solution was described at the paper " Prague Theory". The group of Prague Theory was written due to dedicate to Prague, The Linguistic Circle of Prague and Sergej Karcevskij with the memory of my teacher CHINO Eiichi.
- Prague Theory / 2 October 2004
In this paper, Chinese Character /kun/, that meaning is difficult in English, was used for the eternity of loop time. This loop time was also appeared in the paper " On Time Property Inherent in Characters". But Prague Theory shows more direct and compact by growing tree and its obstructive enclosing fence. This intuitive image was more clearly described at the paper " Word as Infinite Loop Time " at Infinite Loop Space Language in 2012.
- Word as Infinite Loop Space / 6 December 2012
In this paper, time in language is clearly connected with dimension of algebraic group saying as the next. Word has dimension that belongs to algebraic K group.
7.
The relation between time and dimension was entered on a new phase at the learning of algebraic geometry, especially of arithmetic geometry. Arithmetic Geometry Language, abbreviated to AGL, was the starting papers for me to arithmetic method.
- Arithmetic Geometry Language (AGL) / 2013
From these four papers, I concisely extracted the next three conjectures.
- Dimension Decrease Conjecture
- Synthesis Conjecture
- Reversion Conjecture
At these conjectures, time inherent in language is in the basis of describing dimension, synthesis and reversion. The process of leading to the conjectures is over viewing the next.
- Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement / 19 November 2014
8.
Acknowledgement
Time inherent in language is a fantastic but as hard to pursue for me still now. I would examine this theme further more and more, probably till the end of my research life. Now all the thanks are going to The Linguistic Circle of Prague and especially its member Sergej Karcevskij, with my teacher CHINO Eiichi who taught me their precise information from his long study at Prague in 1960s.
9.
For CHINO Eiichi
9.1 Golden Prague
C also died early, who had taught me Russian and linguistics. He loved
the old city that had the beautiful towers and bridges.
In C's many works there was the essay "The Moon of Carpathians". He wrote
that the conference was over, departed at Kiev, saw the moon and
churches over the Carpathian Mountains, impetuously went to the west,
passed Slovakia, Moravia, Bohemia, and at last reached "Golden Prague".
Prague, it was his youth itself.
Now I cannot hear his voice telling the various anecdotes on languages,
of which he freely had commanded. By the short heading, a newspaper
reported his death, naming as "the genius of linguistics".
- 9 October 2014 -
9.2 Coffee shop named California
If C live, he also may ask me, "What are you researching now?"
And I also will answer him as same as ever.
"I have pursued universals, never done facts, without repenting."
Oh C, if you live, will we also talk on language?
At the table facing each other under the low ceiling of the shop going up the steep stairs.
The name of the shop is California.
For the memory of our daily forgetful life,
its never miserable though poor all over,
I will write down our delight.
- 27 October 2014 -
10.
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
ใใฏใๆฌๅฑ่กใใใพใใใใจใฏใชใใI need not more wander the book shop streets. ๅฏพ่ฑกใฏ็งใฎใใกใซใใใThe object exists in my mind. ็งใฏใใ ใใฎ้ๆฒณใใชใใใฆใใใฐใใใI would better watch the canal. ้ๆญดใฏ็ตใใฃใใWandering is over now. ใใถใๆฐธ้ ใซใใคในใฟใผใซใฏใชใใชใใ ใใใใใฟใใใใฎๅฐใใชไปไบๅ ดใงใๆฅใ่ฝใกใใพใงไฝๆฅญใใใใฐใใใPerhaps I would not become meister forever. In my narrow working place, I 'd better do my work till sunset. ใใใจไปไบๅ ดใฎ็ช่พบใ่่
ใ้ใฃใฆ่กใใ So out of the window by the working place, the saint passes by. ใใคใฆใใใชใญใทใขใฎๆฐ่ฉฑใ่ชญใใ ใI ever read the Russian folk tale like that.
็งใฎๆฅใใใฏๆฉใใThe Autumn evening is fast. ่ทฏ้ข้ป่ปใฎใใใใฉใณใใใพใถใใใใใใ ใThe headlight of streetcar is dazzling. ้ป่ค่ฒใฎ็ชใซๅฐใชใไนๅฎขใ็
งใใๅบใใใๅคๆฌๅฑ่กใฎๆนใธๆถใใฆ่กใฃใใIn the yellow-lighten window the passengers are picked out by the light. The car disappeared to the book streets. ้ง
ใฎๅฃฒๅบใใซใใใใชๆฉใฎๅ
ใซๅ
ใพใใฆใใใThe 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
Read more: https://srfl-theory.webnode.com/news/how-is-the-time-alive-in-language/
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Text 7
What facts do Three Conjectures for Dimension, Synthesis and Reversion show us?
TANAKA Akio
1.
True-false problem of the Crete gives us the infinite circulation of true-false value.
This fact indicates us the existence of deep structure or hierarchy in language.
The Crete's true-false is solved by the perspective from 2-dimension to 3-dimension on structure in language world.
2.
Language has long history as the system of etymology. Apparently language has gradually added the new meaning on the old established meaning in word. At this point new meaning is synthesised to the old meaning. At synthesis word mathematically reduces its dimension to the lower one. As the result time in word relatively occurred in the new word and inevitably connected with dimension.
3.
Where and how does word exists in the world?
The distance from a certain point is absolutely demanded for measuring or observing for knowing the word's place.Reversion is a result for measuring or observing from a point.
4.
For precise description of dimension, synthesis and reversion mathematical tools are definitely needed and for more simple describing algebraic method is the most useful to approach for me and in order to easy-seeing and clear intuition geometrical approach is always inevitable to searching. I am greatly thanks to relevant mathematicians researching against severe problems still now for contemporary times.
Kodaira, Tokyo
20 November 2014
SIL
Read more: https://srfl-theory.webnode.com/news/what-facts-do-three-conjectures-for-dimension-synthesis-and-reversion-show-us/
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Comment
Here ends the preparatory work for What is signal?, that began from 21 November 2018.
From now on this paper will be written at the viewpoint of quantum group for the relation between quantum and signal-language, that has been the most important theme, quantum language, since 2003, when I wrote a paper titled, manuscript of Quantum Theory for Language.
Refer to the next.
Manuscript of Quantum Theory for Language with Preface, Note and Note 2 2003-2018
Manuscript of Quantum Theory for Language
Preface
ไปฅไธใซ็คบใใ่จ่ชใฎ้ๅญ็่ซใใฏใ่ฑๆใงๆธใใใQuantum Theory for Language ใฎ่็จฟใจใชใใใฎใงใ๏ผ๏ผ๏ผ๏ผๅนด๏ผๆใซ้ท้็็ฝ้ฆฌใฎ็ฝ้ฆฌใขใซใในใใใซใงๆธใใใใใฎใงใใใ็บ่กจใใใฎใฏไปๅใๅใใฆใงใใใใใพใพใง็บ่กจใใชใใฃใใฎใฏใใใฎ่็จฟใใพใฃใใ่ณๆใฎใชใใใใซใฎ้จๅฑใงใใใใฆ็ญๆ้ใฎใใกใซๆธใใใใใฎใงใใใใใฎใใใใฎๅ
ๅฎนใ้ๅธธใซ็ดๆ็ใงใ้ๅธธใฎ่ซ่ใจใฏ็ฐใชใใ็งใซใจใฃใฆใฏใใชใๅ
้ญ็ใชใใฎใงใใฃใใใใงใใใใใใ่ซ่ใฏ้ไธญใง็ตใใๆชๅฎใฎใพใพใงใใใ๏ผ๏ผ๏ผ๏ผๅนด๏ผ๏ผๆใซๆใใทใณใใธใฆใ ใง็บ่กจใใใใใซใใฎ่็จฟใใใจใซๆธใไธใใQuantum Theory for Languageใงใฏใ่ซ่ใฎ่ถฃๆจใฏใปใผไธ่ฒซใใชใใใใใฎ่กจ็พใใใ็ฉใใใชใใฎใซใใ่จๆถใใใพใใฏใฃใใใจๆฎใฃใฆใใใใใใ็พๅจใใฎ่็จฟใ่ชญใฟ่ฟใใฆใฟใใจใ็งใ๏ผ๏ผ๏ผ๏ผๅนดๅฝๆๆฐใซใใ็ดๆๆงใๅ
้ญใใฏใใใฏใ็งใฎ่จ่ช่ซใฎๆฌ่ณชใซๆทฑใๆ นใใใใใฎใงใใใใปใผๅๅนดใซใใใถ่จ่ชใซ้ขใใๆฐๅญฆ็ใช่จ่ฟฐใ็ตใฆๆฏใ่ฟใใจใ็งใไปใชใๆธใๆฎใใฆใใใใฃใจใ้่ฆใชใใใคใใฎไธป้กใฏใใปใผใใฎ่็จฟใซ่จใใใใใฎใงใใใใจใ็งใฏใใใใใฆ็ขบ่ชใใใซ่ณใฃใฆใใใ่จ่ชใฎ้ๅญๅใ้ๅญใฎๅบ็พใจๆถๆป
ใ้ๅญใฎๆฅๅใจ้ๅฑคใ้ๅญ้ๅไฝใ้ๅญ็พคใฎ้ฒ่กใจ้ๅฑคใ้ฝๆง้ๅญใจ้ฐๆง้ๅญใ้ๅญใฎๆๅณใจใจใใซใฎใผใใใใใ็งใซใจใฃใฆใไพ็ถใจใใฆๆช็ฅใงใใ้ญ
ๆ็ใงใใ็ถใใใไปๅพ็งใฏใตใใใณใใฎ่็จฟใฎไฝ็ฝฎใซใใฉใใใใใใใฆใฟใใใใฎๆ่ใ็ดกใใฆใใใใจใซใชใใงใใใใ่ๅนดใฎไปใจใชใฃใฆใฏใๆฌ่ณชใฏๅฝขๆ
ใซๅ
่กใใใใฃใจใ่กจ็พใใใใใฎใใ็งใซใจใฃใฆใใใซใใฃใจใใตใใใใๆนๆณใง่จ่ฟฐใใฆใใใใจใจใชใใงใใใใใใใฐใใใฎๆ้ใใชใๆฎใใใฆใใใฎใงใใใฐใ ใใไบๅๆญณใฎใใๆฉๅธซใๆใใฆใใใๅฅใฏไปใใใฎใพใพ็ใใฆใใใใใใใใ้ช่ฆใซใใใถใจใใใพใงใ
๏ผ๏ผ๏ผ๏ผๅนด๏ผๆ๏ผ๏ผๆฅใๆฑไบฌใซใฆ่จใใ
Tokyo
23 March 2015
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่จ่ชใฎ้ๅญ็่ซ
๏ผใใฏใใใซใ
ไธญๅฝใซใใใไธป่ฆใช่จ่ชใงใใๆผข่ชใซใฏ๏ผ๏ผ๏ผ๏ผๅนดใ่ถ
ใใ่จ่ผ่จ่ชใใชใใกๆๅญ่จ่ชใฎๆญดๅฒใใใใ
ไธญๅฝๅคๅ
ธใไปฃ่กจใใใ่ซ่ชใใฏใ็พไปฃใซๆฎใใใๆๅญ่ณๆใงใใใใๅๆใซๅๆธ็ทจ็บๅฝๆใฎๅฃ้ ญ่จ่ชใๅผทใๅซใใงใใใจใใใใ๏ผๅๅทๅนธๆฌก้ใ๏ผ๏ผ๏ผ๏ผๅนด๏ผ
ใใใงใฏใใใใซใ่ซ่ชใใฎๆไพใซใใใชใใใ่จ่ผ่จ่ช๏ผๆ่จ๏ผใจๅฃ้ ญ่จ่ช๏ผ็ฝ่ฉฑ๏ผใฎไธก้ขใซใใใใใ่จ่ชใฎๅๆใ่ฉฆใฟใใ
๏ผใ่จ่ชใฎ้ๅญๅ
ใ่จ่ช้กๅ่ซใงๅญค็ซ่ชใซๅ้กใใใๆผข่ชใใใใใไธญๅฝ่ชใฏใๅ็็ใซใฏไธใคใฎ้ณ็ฏใไธใคใฎๆๅณใจไธใคใฎๆๅญใใชใใกๆผขๅญใๆใคใ
ใ้ณ็ฏใ้ฃ็ถใใฆๆฐใใๆๅณใๅฝขๆใใใใจใฏใใใใใใใใใฎ้ณ็ฏใฏๅธธใซๆฌๆฅใฎ็ฌ็ซใใๆๅณใจๆๅญใๆนๅคใใใใจใชใๆๆใใใใจใซใใฃใฆใๆผข่ชใฎๅ
ๅจใใ่จ่ช่ฆๅๅบๆฌ็ใซใฏใปใจใใฉๆนๅคใใใใจใชใใ้ทใๆญดๅฒๆไปฃใ้ใใฆไฟๆใใฆใใใ
ใๆผข่ชใฎๆๆณ็ๆฉ่ฝใใ็บ้ณใๆๅญใฎๅคๅฝข็ๅคๅใไธๅ่กใใชใใไธ่ชไธ่ชใฎ้
ๅใใชใใก่ช้ ใซใใฃใฆใๅฝขๆใใใใจใใใใใใฎ่ช้ ใใชใใก็ตฑ่ชๆณใฎๅ
ๅจๅ็ใฏใใใพใ ๅๅใช่งฃๆใใฟใใจใฏใใใชใใ
ใใใใงใฏๆ่จใจ็ฝ่ฉฑใใจใใซๅซใใจใใใใ่ซ่ชใใๆผข่ชใฎ่จ่ชใขใใซใคใใฆๆก็จใใไธปใซๆๅญ่ซ็ใชๆฅ่ฟใซใใฃใฆใๆผข่ชใซๅ
ๅจใใ่จ่ชๆณๅใฒใใฆใฏไธ่ฌ็ใช่จ่ชใซๅ
ๅจใใ่จ่ชๆง้ ใๅๆใใใใจใใใใฎใงใใใ
ใๆผข่ชใฎ็ตฑ่ชๆณใซใคใใฆใฏใไผ็ตฑ็ใซๅฎ่พใจ่่พใฎ๏ผๅ้กใซใใฃใฆใชใใใฆใใใๅฎ่พใฏๅฎ่ณช็ใชๆๅณใๆๆใใใฎใซๅฏพใใ่่พใฏๅฎ่พใๆๆใใๆๅณใ่ฃๅฎใใใใใซ็จใใใใใจใใใใ
ใใใจใใฐใใ่ซ่ชใๅทป้ ญใฎไธ็ฏใใๅญฆ่ๆ็ฟไนใไธไบฆ่ชฌไนใ๏ผๆไพ๏ผ๏ผใซใใฃใฆใฏใไธ่ฌ็ใซใฏใๅญฆใใๆใใ็ฟใใไนใใ่ชฌใใๅฎ่พใงใใใใ่ใใไธใใไนใใ่่พใงใใใ
ใใใใงใไธใคใฎๆๅณใๆๆใใๆผขๅญไธๅญใใไธๆๅณๅไฝใๆใใ่จ่ช้ๅญใจใใ่จ่ชใฎๆๅฐๅไฝใจไปฎๅฎใใใ
ใไผ็ตฑ็ใซๅฎ่พใจใใใฆใใใใฎใฏใ่จ่ช้ๅญใจใใฆ้ๅธธใไธๅไฝใฎ้ฝๆง้ๅญใๆใใใจใใใ่่พใจใใใฆใใใใฎใฏใ้ๅธธใไธๅไฝใฎ้ฐๆง้ๅญใๆใใใจใใใไธ้ฝๆง้ๅญใโ๏ผใไธ้ฐๆง้ๅญใโ๏ผใจ่กจ่จใใใใจใจใใใ
ใไธ้ฝๆง้ๅญใฏใ้ๅๆจ้ฒใจใใซใฎใผใๆใใ้ๅญใๅๆนใซ็งปๅใใใใใจใใๅใๆใคใไธ้ฐๆง้ๅญใฏใ้ๅๅธๅใจใใซใฎใผใๆใใ้ๅญใฎ้ๅใๅธๅใๅๆญขใใใใฏๅคๆดใใใๅใๆใคใไธ้ฝๆง้ๅญใฏใไธ้ฐๆง้ๅญใซๆฅๅใใใใจใซใใฃใฆใ่ชใใฎ้ๅใๅๆญขใใใใฏๅคๆดใใใใ
ใๆไพ๏ผใๅญฆ่ๆ็ฟไนใไธไบฆ่ชฌไนใใซใใใฐใใๅญฆใใฏใ่ใใซใใฃใฆใใใฎ้ๅใๅคๆดใใใใ่ชฌใใฏใไธใใไบฆใใใใณใไนใใซใใฃใฆใใใฎ้ๅใๅคๆดใใๆ็ต็ใซๅๆญขใใใฆใใใ
ใ้ฝๆง้ๅญใฎ้ๅใจใใซใฎใผใฏใ้ๅธธใๅธธๆ้ฒ่กๆงใงใใใ้ฐๆง้ๅญใซๆฅๅใใใพใงใใใฎ้ๅใๅๆญขใใชใใ
ใ้ฐๆง้ๅญใฎ้ๅๅธๅใจใใซใฎใผใฏใ้ๅธธใใไธๆๅๆญขใใๆนๅๅคๆดใใๅๆญขใ็ญใฎๆฉ่ฝใๆใใใ
ใๆไพ๏ผใซใใใฐใใ่ใใฏใไธๆๅๆญขใใใไธใใไบฆใใฏใๆนๅๅคๆดใใงใใใใไนใใฏใๅๆญขใใจใใฆๆฉ่ฝใใฆใใใ
ใใพใจใใใชใใฐใ้ๅญใฏๆๅณใจใจใใซใฎใผใๆใใ่จ่ชใฎๆๅฐๅไฝใงใใใ
ใ
๏ผใ้ๅญใฎๅบ็พใจๆถๆป
ใ้ๅญใฏใๆฐใใๆๅณใ่จ่ชไธ็ใธใจๅบ็พ่ฆ่ซใใใใใจใซใใฃใฆใๅบ็พใใใ่ฆ่ซใฏ่จ่ชไธ็ใธใฎๆฐใใๆๅณใฎไปๅ ใๅฟ
่ฆใจใใใใจใใซใชใใใใใฎใงใใใ่จ่ชใซใใใ็บ่ฉฑใจๆๅญใจใฎ้ขไฟใฏใ็บ่ฉฑใฎๅ
่กใไธ่ฌ็ใงใใใใๆผข่ชใฎใใใซใไธใคใฎ้ณ็ฏใไธใคใฎๆๅณใๆใใ่จ่ชใซใใใฆใฏใๅพๅบใใๆๅญใฏใ็บ่ฉฑ่ก็บใจใจใใซๆณๅไธใฎๅฝขๆ
ใจใใฆ่ฆ่ซใใใฆใใใจไปฎๅฎใใใใจใๅฏ่ฝใงใใใใใใชใใกไธใคใฎๆๅณใไธใคใฎๅ
ทไฝ็ใช่ญๅฅๅฝขๆ
ใ่ฆ่ซใใฆใใใฎใงใใใใใฎ่ก็บใฏไบบ้ใฎๅถ็บใจใใฆ่ช็ถใชใใฎใงใใใ
ใ่จ่ช้ๅญใฏใ่จ่ชไธ็ใธใฎๆฐใใๆๅณใไปๅ ใใใใใซใๅบ็พใใใ้ๅญใๆใใใจใใซใฎใผใฏใใใฎๆฐใใๆๅณใ่จ่ชไธ็ใซไปๅ ใใใใใฎใใฎใงใใใๆฐใใๆๅณใจไธๅฏๅใซ็ตๅใใใใฎใงใใใ
ใ้ๅญใฏใใใฎๆๅณใ่จ่ชไธ็ใซไธ่ฆใจใชใฃใใจใใซๆถๆป
ใใใๆไพ๏ผใซใใใฆใไธใใฏๆฌๆฅใฏใ่ฑใฎใใในใฎๅญๆฟใใๆๅณใใใใใใฎๅฎ่พใจใใฆใฎๆๅณใฏๆฉใใซๆถๆป
ใซใใๆใกๆถใใใๆๅณใใ่่พใจใใใฎใฟใ่จ่ชไธ็ใซๆฉ่ฝใใฆใใใ
ใใใฎใไธใใง็คบใใใใใใซใๅฎ่พใจ่่พใฏๆผข่ชใซใใใฆใๆ็ญใซๅบๅฅใใใใใฎใงใฏใชใใ็ธไบใฎไนใๅ
ฅใใๅคๆใไธๆญใซ่กใใใฆใใใใใชใใกใไธ่ฟฐใใใใใซใ้ๅญใฏใๅฝๅใ่จ่ชไธ็ใธใฎๆฐใใๆๅณไปไธใฎใใใซๅบ็พใใใใฎใงใใใ
ๅฝๅใฏ้ฝๆง้ๅญใงใใฃใๅฎ่พใฏใ่จ่ชไธ็ใธใฎๆๅณไปไธใฎๅฝนๅฒใ็ตใใใจใจใใซใใใฎ้ๅใจใใซใฎใผใๆถๆป
ใใใใใใไปใฎ้ๅญใฎ้ๅใจใใซใฎใผใซใใฃใฆใ่จ่ชไธ็ใๆงๆใใๆนๅคใใใ็่ทกใฏใไปใฎ้ๅญใใ้ๅใใใใฏๅง่ฟซใๅใ็ถใใ้ๅใๅๅฎนใใ้ๅญใจใใฆใ่ฒ ใฎใจใใซใฎใผใไปไธใใใฆใ่จ่ชไธ็ใซๅญ็ถใใใใจใใใใจไปฎๅฎใใใใใใใฆ้ฐๆง้ๅญใๅบ็พใใใ
ๅบ็พใใ้ฐๆง้ๅญใฏ่ฒ ใฎใจใใซใฎใผใๆใใใใใ้ฝๆง้ๅญใฎใจใใซใฎใผใๅธๅใใใใฎ้ๅใๅๆญขใพใใฏๅคๆดใใใใใจใจใชใใ
๏ผใ้ๅญใฎๆฅๅใจ้ๅฑค
ใไบใคไปฅไธใฎ้ๅญใฏใไบใใซๆฅๅใใใใจใซใใฃใฆใๆฐใใๆง้ ไฝใๅฝขๆใใใ
ใๆไพ๏ผใๅญฆ่ๆ็ฟไนใไธไบฆ่ชฌไนใใซใใใฐใ้ๅญใฎๆฅๅใฏไปฅไธใฎใใใซใชใใ
ใ๏ผ โ๏ผใโ๏ผใโ+ใโ+ใโ+ใโ๏ผใโ๏ผใโ+ใโ๏ผ๏ผ
ใใใใงใ้ฝๆง้ๅญใฏใๆฌกใฎ้ๅญใพใงๆๅณใ็งปๅใใใใ้ฐๆง้ๅญใฏใๅใฎ้ๅญใฎ้ๅใจใใซใฎใผใๅธๅใใๅๆญขใพใใฏๅคๆดใใใใ
ใใ่ใใจใไนใใ้ฐๆง้ๅญใจใใฆใๆง้ ไฝใใชใใกๆใใๅๆญขใใใใๆฉ่ฝใๅใใใฆใใใใจใฏๆ็ญใงใใใใใไธใใจใไบฆใใฎไบใคใฎ้ฐๆง้ๅญใฏใ้ๅญใฎ้ๅใฎใๅคๆดใใจใใฆๆฉ่ฝใใฆใใใจไปฎๅฎใใใ
ใไผ็ตฑ็ใชๆๆณใซใใใฐใใไธใใจใไบฆใใฏใ่ชฌใใฎๆๅณใ่ฃๅฎใใใจใใใใใใใฎ้ๅญ็่ซใงใฏใๅพใใฎ้ๅญใฏๅใฎ้ๅญใฎใจใใซใฎใผใๅใๆญขใใใใใๅพๆฅใฎ่ชฌๆใงใฏๅฆ็ใงใใชใใ
ใใใใงใๅคๆดใใจใฏใๅใฎ้ๅญใฎ้ๅใฎๆนๅใๅคใใใใใใจใงใใใใใใใฆไธใคใฎ้ฝๆง้ๅญใฏใใใฎ้ๅใๅฅใฎ่ป้ใซ็งปใใใใใจใจใชใใใใชใใกใ้ฝๆง้ๅญใฏใใไธใคใฎ่ป้ไธใง้ๅใใใใชใใใใใ็จฎใฎใๅคๆดใ้ฐๆง้ๅญใฏใใฎ่ป้ใๅฅใฎ่ป้ใซ็งปใใๆฐใใๆๅณๆง้ ไฝใๅตๅบใใใ
ใใใฎ่ป้ใฏใใขใใซ็ใซใฏใๆฐ้ๅปบใฆใฎ้ซๅฑคๅปบ็ฏใๆณๅฎใใใใใๅญฆใใงๆใซไนใ็ฟใใใจใใ้ใใใไปใฎ็ฐใชใฃใ้ใธใจ็งปๅใใใใ
ใใใงใไธใใฏใๅญฆใใงๆใซไนใ็ฟใใใใจใๅฆๅฎใใ้ใธ็งปใใใไบฆใใฏใใฎใๅญฆใใงๆใซไนใ็ฟใใใใจใๆฐใใๅฏ่ฝๆงใฎ้ใธใจ็งปๅใใใใใไนใใฏใใฎ็ถๆณใซ็ๅใๆใใใใ้ใธใจ็งปๅใใใใ
ใใฎไธ้ฃใฎ็ถๆณใใขใใซๅใใฆๅณ็คบใใใ
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ใใใใใใใใใใโไน
ใ่ซ่ชใใฎๆๅใชไธ็ฏใใๆๆ่ช้ ๆนๆฅใ๏ผๆไพใฏไปฅไธใฎใใใซๅณ็คบใใใใ
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๏ผใ้ๅญใจ้ๅญ้ๅไฝใฎ็ฌฆๅทๅ
ใ้ๅญใฏๅใ้ฝๆงใจใใฆๅบ็พใใใใฎๆถๆป
ใซใใฃใฆ้ฐๆงใ็ใใใ้ฐๆง้ๅญใฏ้ฝๆง้ๅญใฎ็พคใซใใฃใฆใฏใ็กๆๅณใงใใใใใซ้ๅง่ฟซ้ๅญใงใใใ้ฝๆง้ๅญใจใใฆใใคใฆ็ฒๅพใใๆๅณ็ฉบ้ใใใใฐไธๆญใซๅง็ธฎใใ็ถใใ็ถๆ
ใซใใใใใใใฆใใณใใงๆผใๅบใใใใใใชใจใใซใฎใผใ้ฐๆง้ๅญใซ่ใใใใ้ฝๆง้ๅญใฎ่ป้ใๅคๆดใใฆ็ฐใชใ้ๅฑคใธ็งปๅใใใใใจใจใชใใจไปฎๅฎใใใ
ใใใใใฃใฆใใใฎ้ๅญ็่ซใซใใใฐใๆผข่ชใฎใในใฆใฎๆผขๅญใใใชใใกๆๅณใจใจใใซใฎใผใๆใใ้ๅญใฏใๆฌกใฎใใใซ็ฌฆๅทๅใใใใจใใงใใใ
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ใๆไพ๏ผใฎใๅญฆ่ๆ็ฟไนใไธไบฆ่ชฌไนใใฎ็ฌฆๅทๅใฏไปฅไธใฎใใใซใชใใ
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ใใใใใใใใใใใใ /โโ/ใ/โโ/
ใใใใใใใใใใใใใใใใ/โโ/
ใใใง/โโ/ใๆฐๅญใฎ๏ผใงใ/โโ/ใๆฐๅญใฎ๏ผใง่กจใใจใใๅญฆ่ๆ็ฟไนใไธไบฆ่ชฌไนใใฏ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผใจๆฐๅญๅใงใใใ
ใใใใฃใฆๆไพ๏ผใฎใๅญฆ่ๆ็ฟไนใไธไบฆ่ชฌไนใใฏ๏ผป้ฒ่ก๏ผ๏ผ้ๅฑค๏ผ๏ผฝใฎ่จ่ช้ๅญใฎๆง้ ไฝใงใใใจใใใใจใใงใใใใใใ๏ผปmove๏ผ๏ผclass4๏ผฝใจ่กจ่จใใใ
ๆไพ๏ผใฎใๆๆ่ช้ ๆนๆฅใใฏ
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ใจ็ฌฆๅทๅใใใใใใซใ
๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ
ใจๆฐๅญๅใใใใใใฎๆง้ ใฏ๏ผปmove๏ผ๏ผclass๏ผ๏ผฝใงใใใ
ใใไธไพใ่ซ่ชใใใๆไพใใจใใ
ใไธๅนด็กๆนๆผ็ถไน้ใๅฏ่ฌๅญ็ฃใ๏ผๆไพ๏ผ๏ผ
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ใใใใใใใใใใใ/โโ/ /โโ/
ใใใใใใใใใใใใใใใ/โโ/ /โโ/
/โโ/ / โโ/ /โโ/
/โโ/
๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผ๏ผใใใ๏ผปmove8๏ผclass๏ผ๏ผฝ
๏ผใ้ๅญ็พคใซใใใ้ฒ่กใจ้ๅฑค
ใ้ๅญ็พคใงใใๆใซใใใใไธ้ๅฑคใซใใใ้ฒ่กๅบฆๆฐใ่ฆใใ
ๆไพ1ใงใฏใ4ๅใฎ๏ผใง0.8ๅบฆๆฐใๆไพ2ใงใฏใ1ๅใฎ๏ผใง๏ผๅบฆๆฐใๆไพ3ใงใฏ๏ผๅใฎ๏ผใง1.6ๅบฆๆฐใจใชใใ
ใใใงใไธ้ๅฑค้ฒ่กๅบฆๆฐใใฉใฎใใใชๆๆจใจใชใใใ่ๅฏใใใ
้ฒ่กๅบฆๆฐ1ใจใฏใๆ่จใซใใฃใฆใฏใๅฎ่พ๏ผใซๅฏพใใฆ่่พ๏ผใฎๅฒๅใงใใใ1้ๅฑคใซ๏ผๆๅณใๅญๅจใใๆใๆ็ญใชๆใจ่ใใใใจใใงใใใ
ใใใใฃใฆ้ฒ่กๅบฆๆฐใ1ไปฅไธใจใชใใจใ1้ๅฑคใซ2ใคไปฅไธใฎๆๅณใๅญๅจใใใใจใชใใไธใคใฎๆๅณใ็ดฐใใ่ฆๅฎใใฆใใๅพฎ็ดฐใชๆๅณใๆ็คบใใใใจใจใชใใ
ใใใจใฏ้ใซ้ฒ่กๅบฆๆฐใ1ๆชๆบใจใชใใจใ1้ๅฑคใซใใใฆใไธใคใฎๆๅณใๆ็คบใใใใจใใชใใ2้ๅฑคไปฅไธใซใใฃใฆๅใใฆๆๅณใฎๅฎ็ตใใฟใใใจใจใชใใไธใคใฎๆๅณใฎๅจๅฒใซ่ฃ่ถณ็ใชๆๅณๅ
ๅฎนใไปๅ ใใใใใจใซใใฃใฆใใๆงๆ็ใชๆๅณใๆ็ซใใใใจใจใชใใ
ใๆไพ1ใฏ0.8ๅบฆๆฐใงใใใ่ฃ่ถณ็ๆๅณใไปๅ ใใใๆใงใใใๆไพ2ใฏ5ๅบฆๆฐใงใใใๅพฎ็ดฐใชๆๅณใ่ฆๅฎใใใๆใงใใใๆไพ3ใฏ1.6ๅบฆๆฐใงใใใใปใผๆจๆบ็ใใใๅพฎ็ดฐใช่ฆๅฎใๅ ใใฃใๆใงใใใ
๏ผใ้ๅญ็่ซใฎๅบๆฌๅ็
ใ้ๅญ็่ซใฏใไผ็ตฑ็ใซใฏๅฎ่พใจใใใ้ฝๆง้ๅญใ1้ๅฑคใง้ฒ่กใใใใจใๅบๆฌใงใใใใใใใฃใฆใใ็จฎใฎ้ๅญ็พคใใชใใกๆใซใใใฆใ้ฐๆง้ๅญใๅ้ ญใซ็ซใคใจใใซใฏใใใฎๅใซ้ฝๆง้ๅญใพใใฏ้ๅญ็พคใ็็ฅใใใใจ่ใใใใจใใงใใใ
้ฐๆง้ๅญใ้ฝๆง้ๅญใฎ้ฒ่กๆนๅใซๅคๅใไธใใฆใๆฐใใ้ๅฑคใซ็งป่กใใใใใจใฏใ้ฐๆง้ๅญใๅใใฆใใ่ขซๅง่ฟซใจใใซใฎใผใซใใใจใใใใใใๆญฃ็ขบใซใฏใไปฅไธใฎใใใซ่ชฌๆใงใใใ
ไธ่ฌใซๆญๅฎใฎ่่พใจใใใใไนใใฏใใใฎๅฎ่พใจใใฆใฎๆๅณใฏ็พไปฃใซใใใฆใฏไธๅๆใงใใใ้ฝๆง้ๅญใจใใฆใฏใปใผๆถๆป
ใใใจ่ใใใใจใใงใใใใใฎไปฃใใใซ้ฐๆง้ๅญใจใใฆใฎ่่พๆฉ่ฝใๅฐ้ ญใใฆ็พๅจใซ่ณใใใใใฎๆฉ่ฝใ็ดฐๅใใใฐใๆญๅฎใไธป้กๆ็คบใๅผใณใใใ่ฉ ๅใ็ๅใๅ่ช็ญใฎๆฅตใใฆๅคๆงใงใใใ
ใใจใใฐใใๅไนไธๆใ๏ผใ่ซ่ชใ็บๆฟ็ฏ๏ผใซใใใฆใฏใใๅใใจใใไบบ็ฉใใ๏ผ้ๅฑคใๅคใใ๏ผๅญๅญใฎๅฟไธญใซใใใฆใ๏ผใพใ้ๅฑคใๅคใใ๏ผๅฆๅฎใใใๅญๅจใงใใใ๏ผใใใซ้ๅฑคใๅคใใ๏ผใใใใใใฎใฎ้กใใๆ็คบใใใใใ
ใ้ๅฑคใๅคใใใใจใใใใจใฏใใๅใใจใใไบบ็ฉใใใไนใใจๅบ็พใซใใฃใฆๅฎๅจใฎไบบ็ฉใใใๅญๅญใฎๅฟไธญใซใใใ่ๅฏๅฏพ่ฑกใธใจๅคๆใใใใใจใๆๅณใใใใใซใใฎ่ๅฏๅฏพ่ฑกใใไธใใซใใฃใฆๆนๆถใใใใใจใๆๅณใใใใใซๆฐใใใๆใใจใใๆฆๅฟตใ็ปๅ ดใใใใจใๆๅณใใใ
ใใชใใก้ฐๆง้ๅญใฏใ้ฝๆง้ๅญใๆใใ่จ่ชไธ็ใธใฎ็ดๆฅ็ใชๆๅณใ่กใใฎใงใฏใชใใๅฎ่พใจใใฆใฏใใฏใ็ฉบ็ฝใจใชใฃใ่ชใใฎ้ ๅใธใ้ฝๆง้ๅญใๅฐใjใใจใซใใฃใฆใไธ็จฎใฎ็็ฉบ็ก้ๅใฎ็ถๆ
ใ็พๅใใใใใฎๆนไฝใ่ปขๆใใใใจใงใใใจไปฎๅฎใใใใใฎ่ปขๆใซๅฟ
่ฆใจใใใใจใใซใฎใผใฏใ้ ๅใๅใใฆใใ่ขซๅง่ฟซใฎใจใใซใฎใผใใ็ใใใใฎใจไปฎๅฎใใใใ
๏ผใ้ฐๆง้ๅญใฎๆๅณ
ใ้ฐๆง้ๅญใๆใใๆๅณใฏใไธ่ฟฐใใใไนใใฎๆๅณๅ้กใงใๆ็ญใชใใใซใ้ฝๆง้ๅญใฎๆๅณใใใฏใใใซ็ฒพๅฆใชๅ ดๅใๅคใใใใใใฎๆๅณใฏใฉใฎใใใซใใฆๅบ็พใใใจ่ใใใใจใใงใใใใ
ใ้ฐๆง้ๅญใๅฎ่พใจใใฆใฎๆฉ่ฝใๆถๆป
ใใใไธ็จฎใฎ็็ฉบ้ ๅใๆใใฆใใใจไปฎๅฎใใใใใใใซใฒใจใใณๆญๅฎใจใใๆๅณใๆ็ซใใใจใใใฎใไนใใซๅใใๆฅๅใใ้ฝๆง้ๅญใฎๆๅณใซใใฃใฆใใใฎ็็ฉบ้ ๅใฏไธๅฎใฎๅๅฟใ็คบใใใใซใชใใใใจใใฐใๅใใฎใใใชไบบๅใๅใซๆฅๅใใใจใใไนใใฏๆญๅฎ็ใชๆๅณๆฉ่ฝใฎไธๅคๅฎนใงใใไธป้กๆ็คบใจใใฆๆฉ่ฝใใใใจใจใชใใ
๏ผใ้ฐๆง้ๅญใฎใจใใซใฎใผ
ใ้ฝๆง้ๅญใฎใจใใซใฎใผใฏใๆฐใใๆๅณใ่จ่ชไธ็ใซไปๅ ใใใใใซไธใใใใใใฎใงใใใใจใฏใใใงใซใ๏ผใ้ๅญใฎๅบ็พใจๆถๆป
ใใซใใใฆ่จ่ฟฐใใใใใใใงใฏ้ฐๆง้ๅญใๆใใใจใใซใฎใผใซใคใใฆ่ฉณ่ฟฐใใใ
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Note
22 December 2017
This manuscript was written at a hotel of Hakuba, Nagano, Japan in March 2003, where my family stayed for hot spring and ski. In autumn 2002, I thought of relationship between time and characters inspired by WANG Guowei's paper written on old Chinese character's studies, one of which he declared that character heng ไบ was imaged from a ship coming and going the banks. This character contained the notation of the continuous time of ship operation between the banks.
But if character contain the time going, character seemed to have any existence of inherent energy in it.
Note 2
29 June 2018
Definition of quantum in this manuscript was intuitive while in my mind there was rather precise image that was not able to write by mathematical approach in the days of 2003.
Now the situation has been changed drastically through development of quantum group. Particularly from the Drinfeld's speech at the international mathematician conference in 1984.
I wrote the simple trial paper on quantum group in 2008.
Kac-Moody Lie Algebra Note 2 Quantum Group 2008
Papers related on the pre-thought on quantum group is seen at SRFL Lab.
SRFL Lab's Preparatory paper
Inherent energy in language has been become a little updated after writing in 2003.
Now arranged at the next.
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Energy
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Tokyo
29 June 2018
Read more: https://srfl-lab.webnode.com/products/manuscript-of-quantum-theory-for-language-with-preface-note-and-note-2-2003-2018/
Here ends Manuscript of Quantum Theory for Language.
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Note 3
Manuscript of Quantum Theory for Language
Contents
Preface
1 Quantization of language
2 Appearance and disappearance of quantum
3 Conjugation and class of quantum
4 Encoding of quantum and assembled quanta
5 Progress and class of quantum groups
6 Basic principle of quantum theory
Note
Note 2
Note 3
Tokyo
13 Aprila 2019
ENSILA
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What is signal? The existence that generates language Preface-Comment
Completed Edited
13 April 2019