Sunday, 27 December 2020

von Neumann Algebra 2 Note Generation Theorem :: SRFL Paper


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The Days of Ideogram. Ideogram from hieroglyph to LATEX Symbol List :: SRFL Paper


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The comparison between 2003 and 2017. From Chinese character's meaning structure to Homological algebraic model of language universals :: SRFL Paper


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Meaning minimum 2017 Edition :: SRFL Paper


Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij :: SRFL Paper

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To Winter 2015. 8 Figure - HAYASHI Inao, WANG Bi, OSHIKA Ken-ichi, Ludwig Wittgenstein, George Kingsley Zipf, Kurt Godel and CHINO Eiichi. Translated by Google translate 2020 :: SRFL Paper

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Kurt Godel and CHINO Eiichi. Translated by Google translate 2020 :: SRFL P

Sunday, 20 December 2020

A beginning of language model. Aurora Theory Dictoron and Aurora <Language is aurora dancing above us.> For SAEKI Shizuto :: SRFL Paper

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On Time Property Inherent in Characters 2003 :: SRFL Paper

On Time Property Inherent in Characters 2003 :: SRFL Paper

Stable and Unstable of Language For the Supposition of KARCEVSKIJ Sergej Completion of Language Errata Corrected Edition :: SRFL Paper

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Diophantine Language Finiteness of Words 2012 :: SRFL Paper

Diophantine Language Finiteness of Words 2012 :: SRFL Paper

Diophantine Language Dimension of Words 2012 Errata Corrected Edition :: SRFL Paper

Diophantine Language Dimension of Words 2012 Errata Corrected Edition :: SRFL Paper

Time of WANG Guowei Symmetry of Language 2011 :: SRFL Paper

Time of WANG Guowei Symmetry of Language 2011 :: SRFL Paper

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Ideogram and finite generative 2017 :: SRFL Paper

Ideogram and finite generative 2017 :: SRFL Paper

Language and I :: SRFL Paper

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Affinity between philosophy and mathematics :: SRFL Paper

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Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij :: SRFL Paper

Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij :: SRFL Paper

Paper at SQGL :: SRFL Paper

Paper at SQGL :: SRFL Paper

Generation and extinction of quantum in the field space :: SRFL Paper

Generation and extinction of quantum in the field space :: SRFL Paper

Finiteness of 3 dimensional standard flop and shutting up to finite 3 dimensional world of language from infinite 4 dimensional world :: SRFL Paper

Finiteness of 3 dimensional standard flop and shutting up to finite 3 dimensional world of language from infinite 4 dimensional world :: SRFL Paper

Karcevskij conjecture 1928 and Kawamata conjecture 2002 :: SRFL Paper

Karcevskij conjecture 1928 and Kawamata conjecture 2002 :: SRFL Paper

Energy Distance Theory Conjecture 1 Word and Meaning Minimum :: SRFL Paper

Energy Distance Theory Conjecture 1 Word and Meaning Minimum :: SRFL Paper

Connection between early paper's quantum and recent paper's geometry 7th edition :: SRFL Paper

Connection between early paper's quantum and recent paper's geometry 7th edition :: SRFL Paper

Quantum-Nerve Theory With References :: SRFL Paper

Quantum-Nerve Theory With References :: SRFL Paper

Ars longa Seeing Masterpieces of French Landscape Paintings from the Pushkin State Museum of Fine Arts, Moscow Note, Note 2 and Note 3 added :: SRFL Paper

Ars longa Seeing Masterpieces of French Landscape Paintings from the Pushkin State Museum of Fine Arts, Moscow Note, Note 2 and Note 3 added :: SRFL Paper

Ideogram Paper Enlarged Edition 2003-2018 :: SRFL Paper

Ideogram Paper Enlarged Edition 2003-2018 :: SRFL Paper

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Ideogram 2005 :: SRFL Paper

Ideogram 2005 :: SRFL Paper

The root of language is in the discreteness. / All the information of language are generated from this simple structure which supposition is derived from Flux Conjecture, Lemma 1 and Lemma 2. 2014-2019 / With Note 2020 :: SRFL Paper

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The root of language 2014-2019 / Note 2020. 2nd Edition :: SRFL Paper

The root of language 2014-2019 / Note 2020. 2nd Edition :: SRFL Paper

Being led by Karcevskij's conjecture 2017 :: SRFL Paper

Being led by Karcevskij's conjecture 2017 :: SRFL Paper

Farewell to Language Universals. 2020 :: SRFL Paper

Farewell to Language Universals. 2020 :: SRFL Paper

Quantum-Nerve Theory With References 2019 :: SRFL Paper

Quantum-Nerve Theory With References 2019 :: SRFL Paper

SQGL from SRFL :: SRFL Paper

SQGL from SRFL :: SRFL Paper

Manuscript of Quantum Theory for Language 2003-2019 Newly revised edition :: SRFL Paper

Manuscript of Quantum Theory for Language 2003-2019 Newly revised edition :: SRFL Paper

Letter to Y. Of Broad Language 5th Edition :: SRFL Paper

Letter to Y. Of Broad Language 5th Edition :: SRFL Paper

Language and Spacetime Time Flow in Word For KOHARI Akihiro and His Time :: SRFL Paper

Language and Spacetime Time Flow in Word For KOHARI Akihiro and His Time :: SRFL Paper

Zoho Theory and Paper :: SRFL Paper

Zoho Theory and Paper :: SRFL Paper

Letter to Y. Of Broad Language 4th Edition :: SRFL Paper

Letter to Y. Of Broad Language 4th Edition :: SRFL Paper

Monday, 14 December 2020

What is signal? Completed Zoho Edition / 15 January 2019 :: SRFL Collection

What is signal? Completed Zoho Edition / 15 January 2019 :: SRFL Collection

Basis of Study 5 :: SRFL Collection

Basis of Study 5 :: SRFL Collection

Basis of Study 6 :: SRFL Collection

Basis of Study 6 :: SRFL Collection

Basis of Study 1 - 7 :: SRFL Collection

Basis of Study 1 - 7 :: SRFL Collection

Basis of Study 7 :: SRFL Collection

Basis of Study 7 :: SRFL Collection

For WITTGENSTEIN Ludwig Position of Language 2005 - 2019 :: SRFL Collection

For WITTGENSTEIN Ludwig Position of Language 2005 - 2019 :: SRFL Collection

Quantum-Nerve Theory With References :: SRFL Collection

Quantum-Nerve Theory With References :: SRFL Collection

Appendix of Memorial Essay 2016 :: SRFL Collection

Appendix of Memorial Essay 2016 :: SRFL Collection

Why I started Quantum-Nerve Theory? Note and Note 2 for The Time of Language Ode to The Early Bourbaki To Grothendieck :: SRFL Collection

Why I started Quantum-Nerve Theory? Note and Note 2 for The Time of Language Ode to The Early Bourbaki To Grothendieck :: SRFL Collection

Paper at SQGL :: SRFL Collection

Paper at SQGL :: SRFL Collection

Quantum-Nerve Theory With References 2019 :: SRFL Collection

Quantum-Nerve Theory With References 2019 :: SRFL Collection

Letter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019 :: SRFL Collection

Letter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019 :: SRFL Collection

Letter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019 :: SRFL Collection

Letter to WPM Along the ridges of the mountains On Aurora Theory 3rd Edition 2 December 2019 :: SRFL Collection

LT Pen Story Site of SRFL Fantasy Tale TO WINTER The shape of a youth who had pursued language 2012-2015 :: SRFL Collection

LT Pen Story Site of SRFL Fantasy Tale TO WINTER The shape of a youth who had pursued language 2012-2015 :: SRFL Collection

What is signal? A mathematical model of nerve 22 December 2018 :: SRFL Note

What is signal? A mathematical model of nerve 22 December 2018 :: SRFL Note

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ENSILA What is signal? Paper 1-6 :: SRFL Note

Energy in language 2008 :: SRFL Note

Energy in language 2008 :: SRFL Note

What is signal? Total Edition 21 November 2018-23 April 2019 :: SRFL Note

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What is signal? Contents 24 April 2019 :: SRFL Note

What is signal? Contents 24 April 2019 :: SRFL Note

How the language has been sought for ? 1-8 2019 :: SRFL Note

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Chronicle Early Paper 2004-2008 :: SRFL Note

Chronicle Early Paper 2004-2008 :: SRFL Note

Article Archive 2020 :: SRFL Note

Article Archive 2020 :: SRFL Note

Friday, 11 December 2020

Books that were repeatedly read in life :: SRFL Collection

Books that were repeatedly read in life :: SRFL Collection

Ars longa :: SRFL Collection

Ars longa :: SRFL Collection

Language comprehension from the Past :: SRFL Collection

Language comprehension from the Past :: SRFL Collection

Cicerone to Language :: SRFL Collection

Cicerone to Language :: SRFL Collection

NIKOLAI OSTROVSKIJ’S NOVEL, How the Steel Was Tempered 1936 Remembering English teacher NISHIMURA Nobutomo  2013 :: SRFL Collection

NIKOLAI OSTROVSKIJ’S NOVEL, How the Steel Was Tempered 1936 Remembering English teacher NISHIMURA Nobutomo  2013 :: SRFL Collection

The Complete Works of WANG Guowei Revised 2012-2016 :: SRFL Collection

The Complete Works of WANG Guowei Revised 2012-2016 :: SRFL Collection

The Complete Works of TANIYAMA Yutaka, Revised Edition, 1994 :: SRFL Collection

The Complete Works of TANIYAMA Yutaka, Revised Edition, 1994 :: SRFL Collection

Max Delbluck From Physics to Biology Application to Different Fields 2012 :: SRFL Collection

Max Delbluck From Physics to Biology Application to Different Fields 2012 :: SRFL Collection

Of John Donne's For Whom the Bell Tolls in the film Wim Wenders' Submergence 2017 :: SRFL Collection

Of John Donne's For Whom the Bell Tolls in the film Wim Wenders' Submergence 2017 :: SRFL Collection

Genealogical Tree of Sekinan’s Paper 7th Edition :: SRFL Collection

Genealogical Tree of Sekinan’s Paper 7th Edition :: SRFL Collection

Theory 2003 – 2016 :: SRFL Collection

Theory 2003 – 2016 :: SRFL Collection

Quantum-Nerve Theory Abbreviation : QNT :: SRFL Collection

Quantum-Nerve Theory Abbreviation : QNT :: SRFL Collection

Paper and Article for QNT :: SRFL Collection

Paper and Article for QNT :: SRFL Collection

About in 2013 :: SRFL Collection

About in 2013 :: SRFL Collection

Ideogram Paper 1-16 With Addition :: SRFL Collection

Ideogram Paper 1-16 With Addition :: SRFL Collection

ENSILA Paper What is signal? The existence that generates language :: SRFL Collection

ENSILA Paper What is signal? The existence that generates language :: SRFL Collection

Simone Weil’s LA PESANTEUR ET LA GRACE again :: SRFL Collection

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Pleasure of Mathematics :: SRFL Collection

Pleasure of Mathematics :: SRFL Collection

On Structure Revised :: SRFL Collection

On Structure Revised :: SRFL Collection

From Ideogram to Quantum-Nerve Theory QNT :: SRFL Collection

From Ideogram to Quantum-Nerve Theory QNT :: SRFL Collection

Friday, 27 November 2020

For MAC LANE Saunders. Categorical Approach toward Language

 

For MAC LANE Saunders. Categorical Approach toward Language

15/08/2016 22:23

For MAC LANE Saunders

Categorical Approach toward Language 

 

 

Torus Chain

Word Containing Time and 4 Dimensional Sphere

Structure of Word

 

Tokyo April 5, 2007

Sekinan Research Field of Language

www.sekinan.org



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Language between Sergej Karcevskij and string theory, one century's trace / Book and paper index edition :: SRFL Paper

Language between Sergej Karcevskij and string theory, one century's trace / Book and paper index edition :: SRFL Paper

The Days of Decipherment

 

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 YucaiWANG NiansunWANG 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


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Essence of Language

 

Essence of Language

26/07/2016 22:28

Essence of Language
Seeing the exhibition TREASURES OF ANCIENT GREECE, Tokyo National Museum

TANAKA Akio

20 July 2016 I went to see the exhibition A JOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE being opened at Tokyo National Museum, Ueno,Tokyo.

At the exhibition I first saw  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
40. Clay bar
41. Clay tablet
77. Linear B bar and tablet

 About the two Linear I knew the brief information from the book, THE DECIPHERMENT OF LINEAR B by John Chadwick, Cambridge University Press, 1960.
From the exhibition I also knew still now not to decipher the Linear A.
My simple impression  is the next.
If the stability of language exist in the structure, the essence of language is appeared at the letters and characters. So I think. The core of this view contains the view for structure of language, which I would be able to write clearly using mathematics. For more details, refer to the reference 2.

References
A JOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE  [Exhibition Catalogue]. Tokyo National Museum et al. 2016.
THE DECIPHERMENT OF LINEAR B by John Chadwick, Cambridge University Press, 1960.

Reference 2
Perspective for Derived Category Language.Stability of Language

Reference 3
Derived Category Language, 23 July 2016 Edition


Tokyo
27 July 2016
SekinanLibrary

Tokyo National Museum, Ueno,Tokyo



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Duality of Language. Derived Category Language

 

Duality of Language. Derived Category Language

22/07/2016 18:41

Duality of Language

 
TANAKA Akio

1. Model
Calabi-Yau 3-folds.

2. Theorem
R. Pandharipande and R.P. Thomas.  
Pandharipande-Thomas Theorem (1998).

K. Behrend
Behrent contructable function (2009).


Y. Toda
Generating functions of stable pair invariants via wall-crossing in derived categories in algebraic geometry. (2008)

Curve-counting theories via stable objects (2010).
T. Bridgeland
Hall algebras and curve-counting invariants (2011).

D. Joyce and Y.Song
A theory of generalized Donaldson-Thomas invariants. (2012)

3. Definition
Generalized DT invariants. ( Joyce and Song. 2012)

4. Isomorphism
Isomorphism is induced in the defined moduli spaces.

5. Duality and mirror
If language is identified as Calabi-Yau 3 folds, language inevitably induce dual or mirror element.

Reference
Rensetsuso no Doraiken ni kakawaru shomondai. TODA Yukinobu. 2016. Sugaku shobo. Tokyo.

Reference 2
Derived Category Language, 25 May 2016 Edition.

Reference 3.
Actual Language and Imaginary Language. To LÉVI-STRAUSS Claude.

Reference 4.
Symplectic Language Theory ​ Note 3 Mirror Symmetry Conjecture on Rational Curve​.
Symplectic Language Theory ​ Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH​.

Reference 5.
Main papers of Sekinan Library.
SRFL Paper.



Paper ends. 
-----------------------------------------------------------------------------------------------------------------------

This paper is unfinished.

Tokyo
22 July 2016
Sekinan Library


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Perspective for Derived Category Language. Stability of Language :: SRFL Paper

Perspective for Derived Category Language. Stability of Language :: SRFL Paper

Derived Category Language 3

 

Derived Category Language 3

Language stability and triangulated category

 

[Epitome]

T. Bridgeland defined stability conditions on triangulated categories in 2007.
Language's stability presented by Sergej Karcevskij in 1928.
Bridgeland's stability seems to hint for  Karcevskij's stability.

 

Stability conditions on triangulated categoriesData ( Z, A ) satisfies the next condition.

  is bounded kernel of t-structure. gives stability condition on A .

 

------------------------------------------------------------------------------------------------------


2.
[Paper on Karcevskij conjecture by TANAKA Akio 2011]


 

Condition of Meaning
TANAKA Akio
September 11, 2011

[Preparation]

Graded differential algebra 

Minimal model of graded differential algebra 

Degree of homogenious element x of graded differential algabra |x|

Basis of linear space is given by homogenious and elements x1, ....., xn

N  (V) =  L (V) k  = N  ( 1 , .....,  n  )

Operation of minimal model 

Spherical surface Sn, n≥2

de Rham complex *(Sn)

When n iseaven number,

Volume element of S

Mn = Î› (x), |x| = ndx = 0,

M2n-1 gives minimal model Sn to de Rham complex  .

When n is odd number,

Mn gives minimal model Sn to de Rham complex  .

[Interpretation]

Word is given by spherical surface.

Meaning of word is given by elements x1, ....., xn.

Word has minimal model.

Word becomes formal.

Fundamental group of word contains free group of rank b1(M).

Here KARCEVSKIJ's "stable part" is identified to fundamental group and " mobile part" is identified to free group.

 

--------------------------------------------------------------------------------------------

 

3.
[Paper on description of language by TANAKA Akio 2011]

 

Description of Language
TANAKA Akio
September 9, 2011

Manifold M

Cup product map of 

Dual map of  

Free Lie algebra that  generates £ (  )

 is identified as the partial space of £(  ) that quadrastic Lie bracket of  generates.

Ideal of £(  ) that Im η generates a 

Holonomy Lie algebra of M 

Completion of holonomy Lie algebra 

If M has quadrastic homology connection, Malcev completion  becomes isomorphic with holonoly Lie algebra completion  .

Primary minimum model M(1)of differential manifold M is isomorphic with Malcev completion of  of M's fundamental group.

For the description of a language model there is a need primary minimum model M(1) of differential manifold M.

 

 
 

 

 

This paper has been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by The Sekinan Research Field of Language

 

-----------------------------------------------------------------------------------------------------------

 

4.

[Note]

If word satisfies Bridgeland 2002's Data{ZA] , word has a stability in language.

For the problem of additional meaning refer to Karcevskij conjecture 1928 and Kawamata conjecture 2002.

 

-----------------------------------------------------------------------------------------------------

 

#This paper is unfinished

 

Tokyo
25 May 2016
SRFL Theory



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