Tokyo
2015
Inherits
Sekinan Library from 1986
Sekinan Research Field of Language from 2003
SIL from 2014
Paper History 1986 - 2016
Sekinan Table
Sunday 31 July 2016
Sekinan Study
Sekinan Study
Tokyo
2015
Inherits
Sekinan Library from 1986
Sekinan Research Field of Language from 2003
SIL from 2014
Paper History 1986 - 2016
Tokyo
2015
Inherits
Sekinan Library from 1986
Sekinan Research Field of Language from 2003
SIL from 2014
Paper History 1986 - 2016
Saturday 30 July 2016
The Days of Decipherment
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 by NISHIDA Tatsuo (1928-2012) who wrote the analysis and grammar of Xixia characters through the paper Seikamoji no bunseki narabini Seikago bunpou no kenkyuu in 1962.
In almost the same time, Inca characters were studying to decipher. I frequently heard that Russian team developed largely.
In early 1970s I frequently went to Kanda, Tokyo where old bookshops were selling vast Oriental books at the Hakusan street and Yasukuni Street. I bought Chinese classics, especially linguistic classics written in the Qing dynasty and I read them almost every day containing the comparison with the western linguistic results. The Qing dynasty's heritage were DUAN Yucai, WANG Niansun, WANG Yingzhi and WANG Guowei and so forth. DUAN Yucai's Showenjezi zhu and WANG Guowei's Guantang jilin were the most important for me.
In France, 1960s was the days of Bourbaki that was one of the decipher of geometry by algebra, at least I thought so at that time. I sought and bought several Bourbaki's books at the old bookshops in Kanda, Tokyo,which is the largest old bookshop streets in Japan. But from my ability to mathematics Bourbaki was too much difficult to read on. From the days the long and winding road began to mathematics and its applicable study for language universals.
At the exhibition of ancient Greece I confirmed in particular that the stability of language was kept by letters and characters from the Linear A and Linear B.
Exhibition Catalogue numbers are the next.
The numbers 39 and 40 are Linear A. 41 and 77 are Linear B.
39. Clay juglet c. 1800 B.C. ~ c. 1700 B.C.
40. Clay bar c. 1700 B.C. ~ c. 1650 B.C.
41. Clay tablet c. 1375 B.C. ~ c. 1350 B.C.
77. Linear B bar and tablet c. the 13th century B.C.
For my part the stability has been one of the biggest themes on language phenomena since I was taught from CHINO Eiichi through the results of the Linguistic Circle of Prague, especially of Sergej Karcevskij.
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 by NISHIDA Tatsuo (1928-2012) who wrote the analysis and grammar of Xixia characters through the paper Seikamoji no bunseki narabini Seikago bunpou no kenkyuu in 1962.
In almost the same time, Inca characters were studying to decipher. I frequently heard that Russian team developed largely.
In early 1970s I frequently went to Kanda, Tokyo where old bookshops were selling vast Oriental books at the Hakusan street and Yasukuni Street. I bought Chinese classics, especially linguistic classics written in the Qing dynasty and I read them almost every day containing the comparison with the western linguistic results. The Qing dynasty's heritage were DUAN Yucai, WANG Niansun, WANG Yingzhi and WANG Guowei and so forth. DUAN Yucai's Showenjezi zhu and WANG Guowei's Guantang jilin were the most important for me.
In France, 1960s was the days of Bourbaki that was one of the decipher of geometry by algebra, at least I thought so at that time. I sought and bought several Bourbaki's books at the old bookshops in Kanda, Tokyo,which is the largest old bookshop streets in Japan. But from my ability to mathematics Bourbaki was too much difficult to read on. From the days the long and winding road began to mathematics and its applicable study for language universals.
At the exhibition of ancient Greece I confirmed in particular that the stability of language was kept by letters and characters from the Linear A and Linear B.
Exhibition Catalogue numbers are the next.
The numbers 39 and 40 are Linear A. 41 and 77 are Linear B.
39. Clay juglet c. 1800 B.C. ~ c. 1700 B.C.
40. Clay bar c. 1700 B.C. ~ c. 1650 B.C.
41. Clay tablet c. 1375 B.C. ~ c. 1350 B.C.
77. Linear B bar and tablet c. the 13th century B.C.
For my part the stability has been one of the biggest themes on language phenomena since I was taught from CHINO Eiichi through the results of the Linguistic Circle of Prague, especially of Sergej Karcevskij.
The exhibition catalogue and Chadwick's book Japanese translated edition.
Reference
References 2
References 3
- Meaning Minimum On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi
- Half Farewell to the Linguistic Circle of Prague and Sergej Karcevskij
- Sergej Karcevskij, Soul of Language
- Gift from Sergej Karcevskij
- Follower of Sergej Karcevskij
- For KARCEVSKIJ Sergej
- Notes for KARCEVSKIJ Sergej / Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique"
References 4
Tokyo
30 July 2016
Friday 29 July 2016
Coffee shop named California with image
Coffee shop named California
TANAKA Akio
From Print 2012, Chapter 10
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.
Source: Tale / Print by LI Koh / 27 January 2012
References:
Tokyo
23 February 201529 July 2016 Add image
Sekinan Archive
TANAKA Akio
From Print 2012, Chapter 10
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.
Source: Tale / Print by LI Koh / 27 January 2012
References:
Tokyo
23 February 201529 July 2016 Add image
Sekinan Archive
At the campus
from C I heard on the Linguistic Circle of Prague.
The Essence of Language Seeing the exhibition TREASURES OF ANCIENT GREECE, Tokyo National Museum. With catalogue image
The 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, 26 July 2016 Edition
Tokyo
27 July 2016
SekinanLibrary
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
Exhibition catalogue
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, 26 July 2016 Edition
Tokyo
27 July 2016
SekinanLibrary
Wednesday 27 July 2016
Derived Category Language, 26 July 2016 Edition. For Stability of language
From Print 2012, Chapter 18
Non-symmetry. It was the very theme that I repeatedly talked on with C. Prague in 1920s. Karcevskij's paper "Du dualisme asymetrique du signe linguistique" that appeared in the magazine TCLP. Absolutely contradicted coexistence between flexibility and solidity, which language keeps on maintaining, by which language continues existing as language. Still now there will exist the everlasting dual contradiction in language. Why can
language stay in such solid and such flexible condition like that. Karcevskij proposed the duality that is seemed to be almost absolute contradiction.
Sergej Karcevskij's best of papers, for whom C called as the only genius in his last years' book Janua Linguisticae reserata 1994.
Source: Tale / Print by LI Kohr / 27 January 2012
For Stability of language
Read more: http://srfl-paper.webnode.com/news/derived-category-language-26-july-2016-edition/
Tuesday 26 July 2016
The Essence of Language. Seeing the exhibition TREASURES OF ANCIENT GREECE, Tokyo National Museum.
The 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, 26 July 2016 Edition
Tokyo
27 July 2016
SekinanLibrary
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, 26 July 2016 Edition
Tokyo
27 July 2016
SekinanLibrary
Kontsevich's conjecture. Category theoretic mirror symmetry conjecture. Revised
Kontsevich's conjecture. Category theoretic mirror symmetry conjecture. Revised
When there exists mirror relation between X1 and X2, derived category of X1's coherent sheaf and derived Fukaya category defined from X2's symplectic structure become equivalence.
M. Kontsevich. Homological algebra of mirror symmetry, Vol. 1 of Proceedings of ICM. 1995.
-----------------------------------------------------------------------------------------------------------------------
[Note by TANAKA Akio]
In the near future, symplectic geometry may be written by derived category. If so, complex image of symplectic geometry's some theorems may be become more simple and clear than now.
References
Homological Mirror Symmetry Conjecture by KONTSEVICH
/ Symplectic Language Theory / 26 April 2009
Quantization of Language / Floer Homology Language / 24 June 2009
10 May 2016
SRFL Theory
Also refer to the next..
Derived Category Language, 23 July 2016 Edition
Tokyo
26 July 2016
Sekinan Library
SRFL Theory
Also refer to the next..
Derived Category Language, 23 July 2016 Edition
Tokyo
26 July 2016
Sekinan Library
Monday 25 July 2016
Sunday 24 July 2016
Sekinan Study Higher than Ever
Higher than Ever
Tokyo
2015
Inherits
Sekinan Library founded in 1986
Sekinan Research Field of Language founded in 2003
Tokyo
2015
Inherits
Sekinan Library founded in 1986
Sekinan Research Field of Language founded in 2003
Introduction
Sekinan Archive. Invitation site renewed
Invitation to Essays and Papers of Sekinan Library
Leading Essay
Coffee shop named California
Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague
Invitational Dialogue
Why do you think that language has structure?
Update Work
Leading Essay
Coffee shop named California
Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague
Invitational Dialogue
Why do you think that language has structure?
Update Work
Main Paper
Saturday 23 July 2016
Derived Category Language, 23 July 2016 Edition
Derived Category Language, 23 July 2016 Edition
- Bridge between mathematics and physics / revised
- Kontsevich's conjecture Category theoretic mirror symmetry conjecture
- Derived Category Language 1
- Karcevskij conjecture 1928 and Kawamata conjecture 2002
- Additional meaning and embedding
- Derived Category Language 2
- Language stability and triangulated category
- Derived Category Language 3
- Stability of Language
- Duality of Language
Read more: http://srfl-paper.webnode.com/news/derived-category-language-23-july-2016-edition/
Friday 22 July 2016
Actual Language and Imaginary Language. To LÉVI-STRAUSS Claude
Actual Language and Imaginary Language
To LÉVI-STRAUSS Claude
TANAKA Akio
1
Quantum of Language is located in the place having a certain distance from the real world.
For more details see the paper “Distance Theory”, “Mirror Theory” and “Mirror Language”.
2
Quanta of Language are classified into two types.
One is actual quanta of language. These quanta have actual distance from the real world. These quanta consist of actual language.
Details see the paper “Distance Theory”.
The other is imaginary quanta of language. These quanta have imaginary distance from the real world.
Details see the paper “Mirror Theory” and “Mirror Language”.
3
Typical actual language is the language of cooking.
We see the cooking recipe for making delicious dishes.
4
Typical imaginary language is the language of religion.
We pray the absolute being for our happiness.
5
Actual language and imaginary language are made contrast with actual number and imaginary number on mathematics.
6
Actual and imaginary quanta are separated from the real world and place to a certain point of language world. They will always leave for the real world. This tendency guarantees all the languages ultimate credibility.
Details see the paper “Guarantee of Language”.
7
Quantum of language sends messages to the next Quantum. In this situation the former Quantum moves toward the next quantum by the tendency of language. As the result, two quanta can posses the proper relation under the stable circumstance.
Two quanta are complied with the rules, especially < connection rule> and <separation rule>.
Then word and sentence are generated. At last the standstill of sentence emerges from the language world to the real world. Language separation from the real world ends in our world.
Details see the paper “Quantum Theory for Language Synopsis”.
8
The contact of two quanta occurs from the former quantum.
The first occurrence of movement starts by the tendency of reversion to the real world being immanent in language.
This tendency is called <reversion principle of language>.
This principle is the basis for the guarantee of language.
9
Imaginary language has not clearly correspondence to the real world.
For example the absolute being is not corresponded to the real world.
Generally we only confirm the course of gazing into the absoluteness.
This course has a distance from the real world as if the image in a mirror has a distance from the surface of the mirror.
It is called <imaginary distance>.
So we have two distances in the language world.
One is <actual distance>. The other is <imaginary distance>.
In this situation <principle of reversion> is regarded as being worked.
10
Now the religious language, for instance, various words of prayer has a clear step to the linguistic inspection.
11
This is a little try to bridge between linguistics and anthropology.
Tokyo
September 23, 2004
Sekinan Research Field of Language
[References]
Noted at February 28, 2009
<On mirror symmetry>
Symplectic Language Theory / Note 3 /Mirror Symmetry Conjecture on Rational Curve / February 27, 2009 / sekinanlogos
Symplectic Language Theory / Note 4 / Isomorphism of Map Sequence / March 9, 2009 / sekinanlogos
Noted at May 30, 2009
<On distance>
Floer Homology Language / Supersymmetric Harmonic Oscillator / May 6, 2009 / sekinanlogos
Floer Homology Language / Grothendieck Group / May 30, 2009 / sekinanlogos
TANAKA Akio
1
Quantum of Language is located in the place having a certain distance from the real world.
For more details see the paper “Distance Theory”, “Mirror Theory” and “Mirror Language”.
2
Quanta of Language are classified into two types.
One is actual quanta of language. These quanta have actual distance from the real world. These quanta consist of actual language.
Details see the paper “Distance Theory”.
The other is imaginary quanta of language. These quanta have imaginary distance from the real world.
Details see the paper “Mirror Theory” and “Mirror Language”.
3
Typical actual language is the language of cooking.
We see the cooking recipe for making delicious dishes.
4
Typical imaginary language is the language of religion.
We pray the absolute being for our happiness.
5
Actual language and imaginary language are made contrast with actual number and imaginary number on mathematics.
6
Actual and imaginary quanta are separated from the real world and place to a certain point of language world. They will always leave for the real world. This tendency guarantees all the languages ultimate credibility.
Details see the paper “Guarantee of Language”.
7
Quantum of language sends messages to the next Quantum. In this situation the former Quantum moves toward the next quantum by the tendency of language. As the result, two quanta can posses the proper relation under the stable circumstance.
Two quanta are complied with the rules, especially < connection rule> and <separation rule>.
Then word and sentence are generated. At last the standstill of sentence emerges from the language world to the real world. Language separation from the real world ends in our world.
Details see the paper “Quantum Theory for Language Synopsis”.
8
The contact of two quanta occurs from the former quantum.
The first occurrence of movement starts by the tendency of reversion to the real world being immanent in language.
This tendency is called <reversion principle of language>.
This principle is the basis for the guarantee of language.
9
Imaginary language has not clearly correspondence to the real world.
For example the absolute being is not corresponded to the real world.
Generally we only confirm the course of gazing into the absoluteness.
This course has a distance from the real world as if the image in a mirror has a distance from the surface of the mirror.
It is called <imaginary distance>.
So we have two distances in the language world.
One is <actual distance>. The other is <imaginary distance>.
In this situation <principle of reversion> is regarded as being worked.
10
Now the religious language, for instance, various words of prayer has a clear step to the linguistic inspection.
11
This is a little try to bridge between linguistics and anthropology.
Tokyo
September 23, 2004
Sekinan Research Field of Language
[References]
Noted at February 28, 2009
<On mirror symmetry>
Symplectic Language Theory / Note 3 /Mirror Symmetry Conjecture on Rational Curve / February 27, 2009 / sekinanlogos
Symplectic Language Theory / Note 4 / Isomorphism of Map Sequence / March 9, 2009 / sekinanlogos
Noted at May 30, 2009
<On distance>
Floer Homology Language / Supersymmetric Harmonic Oscillator / May 6, 2009 / sekinanlogos
Floer Homology Language / Grothendieck Group / May 30, 2009 / sekinanlogos
Duality of Language. The latest paper of Derived Category Language
Duality of Language
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
Tuesday 19 July 2016
Perspective for Derived Category Language. Stability of Language
Perspective for Derived Category Language. Stability of Language.
TANAKA Akio
1. Model
Derived Category Language.
2. Base
Manifold.
3.Main method
Stability conditions.
4. Theorem
R. Pandharipande and R.P. Thomas. Pandharipande-Thomas Theorem (1998).
K. Behrend. Behrent contructable function (2009).
Y. Toda. Curve-counting theories via stable objects (2010).
T. Bridgeland. Hall algebras and curve-counting invariants (2011).
5. Definition
Mu limit semi-stable object.
6. Space
Mu limit semi-stable object's moduli space.
7. Stability of Language
In the space(6.) language keeps stability as the set of derived duality.
8. Essence of Language
Duality is the essence of language.
Refer to the next.
Derived Category Language, 25 May 2016 Edition.
Actual Language and Imaginary Language. To LÉVI-STRAUSS Claude.
This paper is unfinished.
Tokyo
19 July 2016
Sekinan Library
TANAKA Akio
1. Model
Derived Category Language.
2. Base
Manifold.
3.Main method
Stability conditions.
4. Theorem
R. Pandharipande and R.P. Thomas. Pandharipande-Thomas Theorem (1998).
K. Behrend. Behrent contructable function (2009).
Y. Toda. Curve-counting theories via stable objects (2010).
T. Bridgeland. Hall algebras and curve-counting invariants (2011).
5. Definition
Mu limit semi-stable object.
6. Space
Mu limit semi-stable object's moduli space.
7. Stability of Language
In the space(6.) language keeps stability as the set of derived duality.
8. Essence of Language
Duality is the essence of language.
Refer to the next.
Derived Category Language, 25 May 2016 Edition.
Actual Language and Imaginary Language. To LÉVI-STRAUSS Claude.
This paper is unfinished.
Tokyo
19 July 2016
Sekinan Library
Monday 18 July 2016
SRFL Collection
SRFL Collection contains main papers and essays written at Sekinan Library.
Read more: http://srfl-collection.webnode.com/
SIL Lab is the visual site of Sekinan Library
SIL Lab is the visual site of Sekinan Library. http://
Thursday 14 July 2016
Wednesday 13 July 2016
Bourbaki's ELEMENTS DE MATHEMATIUE THEORIE DES ENSEMBLES Fascicule de resiltats Troisieme edition, 1964
Bourbaki's ELEMENTS DE MATHEMATIUE
THEORIE DES ENSEMBLES
Fascicule de resiltats
Troisieme edition, 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 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.
THEORIE DES ENSEMBLES
Fascicule de resiltats
Troisieme edition, 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 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.
Read more: http://srfl-theory.webnode.com/news/bourbakis-elements-de-mathematiue-theorie-des-ensembles-fascicule-de-resiltats-troisieme-edition-1964/
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