Sekinan Library 1986 / SRFL 2003
SRFL Geometry
SRFL Note
SRFL Theory
Geometrization Language
Sekinan Library
Sekinan Research Field of Language
Sekinan Study
Sekinan Essay
Sekinan Paper
Sekinan Archaeology
Sekinan MathBasis
Sekinan Ideogram
Quantum-Nerve Theory
SQGL
Sekinan Library
Sekinan Geometry
Sekinan Index
Sekinan Paper
Sekinan Essay
Sekinan Early
Sekinan Middle
Sekinan Modern
Sekinan Energy
Sekinan Signal
Sekinan Nerve
QNT News
SRFL News
Sekinan Table
Sekinan Data
atbankofdam
SRFL Data
Sekinan Days
Sekinan View
SRFL has uploaded the papers on language universals since 2003, when the site name was using sekinan.org.
Now its name is not adopted by not-using the self-managed website.
From 2014, I have mainly used Weebly site titled Sekinan initials. So crowned Sekinan sites contain mainly early papers and essays although being renewed appropriately. Also I have used Wix site for invitation being named SIL initials.
But the papers have gradually increased. In 2016 I have newly used Webnode site for the reason storing up more papers easily. Webnode sites are titled mainly SRFL initials, which papers are from Middle to Present.
Besides Weebly and Webnode, I have used Website, Site 123 for simplified and invitational sites, so these sites are almost Modern papers and essays and understandable invitation articles to the study of language. Contained papers are rather few but probably more readable, especially to the first visiting learners of language problems, naming is ENSILA for Website and Sekinan for Site 123.
Now I have used Webnode for garner of papers and essays. Site123 is for classification by themes. Webnode's SRFL is adopted to invitational site for the time being.
Tokyo
3 September 2020
28 January 2022
12 February 2022
22 February 2022
Sekinan Library
Story
To Winter
RI Ko
2015
Hills West Tree
Tall buildings look bluish green. A wide road runs from north to south under the elevated city line, and trams slowly travel there. When you get off the station and go a little south on the sidewalk, you will arrive at Aโs residence. The first floor is a tin shop and lives on the second floor up the external stairs. It โs a murky room that has been used like a storeroom, but itโs bright because the windows are on the east side facing the road and on the north side of the station. When he got off at this station for the first time, he was somehow attracted to the scenery with a dull tall building under the cloudy sky, and he left the sticker of the rental house that he noticed immediately after starting walking...
12/08/2020 11:57
11/08/2020 18:40
Ideogram Paper 1-18 With Addition. Total Edition
11/08/2020 16:54
18/02/2020 23:03
What is Ideogram? Winding lanes to Quantum-Nerve Theory 2019
16/11/2019 13:59
Quantum-Nerve Theory With References
14/10/2019 17:39
14/10/2019 17:14
Kac-Moody Lie Algebra Note 2 Quantum Group
01/10/2019 19:56
Place where Quantum of Language Existsใ2004๏ผ2008
30/09/2019 19:34
25/09/2019 21:10
Manuscript of Quantum Theory for Language 2003-2019 Newly revised edition with Note 3
16/08/2019 16:06
What is signal? Contents 24 April 2019
16/08/2019 16:02
What is signal? Total Edition 21 November 2018-23 April 2019
16/08/2019 15:58
01/05/2019 19:32
What is signal? Preface-Comment Edition 21 November 2018 - 13 April 2019
13/04/2019 18:00
What is signal? The existence that generates language Preface-Main Issue 3 / 17 March 2019
17/03/2019 18:38
ENSILA What is signal? Paper 1-6
11/03/2019 13:23
What is signal? Completed Zoho Edition / 15 January 2019
15/01/2019 22:31
What is signal? Preparation 2 / 8 Signal / Over Edition / 15 January 2019
15/01/2019 19:30
10 Extracts from Tale, Print, 2012
Paper Category Contents 2003-2018
14/08/2018 17:41
12/08/2018 23:39
QGL Paper
06/01/2019 19:26
Language and Spacetime, Symmetry Flow Language and Symmetry Flow Language 2 Contents 2007
29/12/2018 22:27
What is signal? A mathematical model of nerve 29 December 2018 Preparation Over Edition
29/12/2018 19:10
What is signal? A mathematical model of nerve 21 December 2018 Edition
21/12/2018 22:06
What is signal? A mathematical model of nerve 13 December 2018 Edition
13/12/2018 17:38
What is signal? A mathematical model of nerve 6 December Edition
06/12/2018 16:02
What is signal? A mathematical model of nerve 1 December Edition
01/12/2018 17:19
Place where Quantum of Language Exists
01/12/2018 16:18
22/11/2018 13:49
Quantum Group Language Word Indexed and Word Synthesized
14/07/2018 18:41
Ideogram Paper Enlarged Edition
From Hodge diamond of mirror symmetry by KONTSEVICH to mirror language
Preparatory Paper 2 for Quantum Group Theory
Quantum space through Poisson manifold's deformation quantization by Kontsevich
Pre-history for Quantum Group Language
Language, Amalgamation of Mathematics and Physics
Karcevskij conjecture 1928 and Kawamata conjecture 2002 / I briefly wrote about the conjecture
Meaning minimum 2017 Edition On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi
Operad Meaning Theory From Cell to Operad Revised Edition
Operad Meaning Theory From Cell to Operad
Floer Homology Language Note 8 Discreteness of Language
Floer Homology Language Note 7 Quantization of Language
Symplectic Language Theory Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH
Connection between early paper's quantum and recent paper's geometry 7th edition
13/08/2018 22:23
The days when I was thinking on Energy Distance Theory
13/08/2018 19:08
04/08/2018 22:12
03/08/2018 19:57
31/07/2018 22:37
31/07/2018 18:45
Algebraic Geometry Appendix of Language Universal Models
31/07/2018 18:34
31/07/2018 12:21
Language Universal Models sekinanlum Edition
31/07/2018 12:11
30/07/2018 20:04
For MAC LANE Saunders Categorical Approach toward Languageใ
29/07/2018 19:24
29/07/2018 13:52
29/07/2018 13:31
28/07/2018 23:50
Kac-Moody Lie Algebra Contents
14/07/2018 12:21
Floer Homology Language Note 8 Discreteness of Language
13/07/2018 23:55
Floer Homology Language Note 8 Discreteness of Language
13/07/2018 23:47
13/07/2018 23:39
Kac-Moody Lie Algebra Note 2 Quantum Group
13/07/2018 23:11
11/07/2018 11:54
Character encloses the time of word
11/07/2018 11:36
Language, amalgamation of mathematics and physics
09/07/2018 16:59
Perhaps Return to Physics TOMONAGA's Super Multi-time Theory PDF Edition added
09/07/2018 16:34
Kac-Moody Lie Algebra Note 1 Kac-Moody Lie Algebra
06/07/2018 19:38
Manuscript of Quantum Theory for Language with Preface, Note and Note 2 2003-2018
04/07/2018 23:03
Lineation For CHOMSKY Noam 2005
Manuscript of Quantum Theory for Language with Preface, Note and Note 2 2003-2018
Three Conjectures for Dimension, Synthesis and Reversion 2014, 2018 and 2018 United Edition
Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement 2014
From Additional Meaning to Dimension Decrease Conjecture Three Conjecture's Digest Edition 2018
Quantum Theory for Language Theoretical Summarization and Problem in Future
The Complete Works of WANG Guowei
Time and Shape of Language from How is the time alive in language
On Time Property Inherent in Characters
Presupposition on Natural Language
Dimension, Synthesis and Reversion
Clifford Algebra Note 5 TOMONAGA's Super Multi-time Theory. PDF Text added
Clifford Algebra Note 5 TOMONAGA’s Super Multi-time Theory
The Days of Ideogram Ideogram from hieroglyph to LATEX Symbol List Note added Edition
Pre-history for Quantum Group Language
Simplicial Space Language Composition of Word
Noncommutative Distance Theory Note 2 C*-Algebra
Kac-Moody Lie Algebra Conjecture 1 Finiteness in Infinity on Language
Kac-Moody Lie Algebra Note 2 Quantum Group
Kac-Moody Lie Algebra Note 1 Kac-Moody Lie Algebra
Kac-Moody Lie Algebra Contents
Manuscript of Quantum Theory for Language Note added
Genealogical Tree of Sekinan's Paper 7th Edition
Determination of concept, Broad Language
Letter to Y. Of the century of language
Letter to Y. Of Broad Language 4th edition
Read more: https://srfl-lab.webnode.com/
Tokyo
20 August
Sekinan Geometry Modern
12/08/2020 11:55
Preparation for Geometrization Language
11/08/2020 19:28
11/08/2020 18:37
Ideogram Paper 1-18 With Addition. Total Edition
10/08/2020 23:06
Letter to Y. Of Broad Language 4th Edition 5 February 2018. Translated by Google translate 2020
24/07/2020 17:14
09/07/2020 22:48
30/06/2020 14:32
28/06/2020 17:35
Language and Spacetime Shift of Time From SAPIR Edward to KAWAMATA Yujiro. 2007
24/06/2020 18:50
Letter to RM From Ideogram to Quantum-Nerve Theory QNT. 23 November 2019
23/06/2020 19:33
Abstract from Wellspring, Energy and Brownian Motion of Language 2008. Related Papers added 2020
20/06/2020 22:55
Wellspring Connect Orient and West at Meaning. 2008
20/06/2020 22:53
19/06/2020 23:04
10/06/2020 19:10
10/06/2020 16:53
Perelman's Approach 2 Revised Edition
08/06/2020 19:27
08/06/2020 19:04
Letter to WPM From Quantum Theory for Language to David Marr and Grisha Perelman. 7 June 2020
08/06/2020 19:00
07/05/2020 19:12
Quantum Theory for Language / 15 January 2004
26/04/2020 19:06
Quantum-Nerve Theory With References. 2019
11/03/2020 16:51
08/05/2020 19:16
The Complete Works of WANG Guowei, Revised. 2012
06/05/2020 22:31
To Winter. RI Ko. 2015. 3 Inscription of ancient China. Translated by Google translate 2020
06/05/2020 19:08
Letter to Y. Toward geometrization of language 8 January 2018. Translated by Google translate 2020
05/05/2020 22:47
05/05/2020 18:29
Sayama Assumption on Language. 2012
05/05/2020 18:28
Letter to O and Letter to Y. 2018
04/05/2020 19:21
03/05/2020 19:34
03/05/2020 19:29
26/04/2020 17:36
26/04/2020 17:21
Letter to WPL Abstract from 4 February 2020
25/04/2020 22:55
25/04/2020 22:36
25/04/2020 22:33
25/04/2020 22:29
French Symbolism, Martinet, Bourbaki and Sergej Karcevskij. Note, 28 October 2014
25/04/2020 22:24
Language and Spacetime Time Flow in Word For KOHARI Akihiro and His Time
24/04/2020 22:29
Letter to Y. Of Broad Language 5th Edition
09/04/2020 20:02
Distance Theory Historical Review
07/04/2020 23:03
Hyperbolic Language Connection of Words. 2012-2020
07/04/2020 22:56
07/04/2020 22:37
How is the time alive in language?
05/04/2020 19:51
Manuscript of Quantum Theory for Language 2003-2019 Newly revised edition with Note 3
02/04/2020 19:39
Essence of Language Seeing the exhibition TREASURES OF ANCIENT GREECE, Tokyo National Museum
18/03/2020 22:24
Farewell to Language Universals
18/03/2020 19:40
Half Farewell to Sergej Karcevskij and the Linguistic Circle of Prague with References
18/03/2020 19:39
Letter to WPM On the Root of Language. 23 February 2020
11/03/2020 19:15
The days when I was thinking on Energy Distance Theory 2014
11/03/2020 17:39
From Edward Sapir's theme 3rd Edition. 2019
11/03/2020 17:35
Ideogram Paper 1-16 With Addition
11/03/2020 16:39
Theme Paper 2003-2017 and Others
18/03/2020 22:37
Letter to Y. Of Broad Language 4th edition
11/03/2020 19:34
Letter to WPM. 15 November 2019 - 23 February 2020
11/03/2020 19:18
Edward Sapir, Language, 1921 Revised
11/03/2020 17:37
Why I started Quantum-Nerve Theory? Note and Note 2 for The Time of Language. 2012, 2014 and 2019
07/03/2020 19:29
23/02/2020 19:50
18/02/2020 23:01
Quantum-Nerve Theory With References
17/02/2020 19:25
From Edward Sapir' theme Revised
01/11/2019 15:50
Ideogram Paper 1-16 With Addition
01/11/2019 15:37
Letter to Y. Of Broad Language 4th Edition With Note
01/11/2019 15:32
Quantum-Nerve Theory Abbreviation : QNT
01/11/2019 14:44
What is signal? Completed Zoho Edition / 15 January 2019
15/01/2019 22:28
What is signal? Till Preparation 2 8 Signal / 15 January 2019
15/01/2019 19:11
Frame-Sentence Language Boundary
For WITTGENSTEIN Ludvig. First edition / 10 December 2005
Determination of concept, Broad Language
Language Universal Models from sekinanlum
Hyperbolic Language Connection of Words
Through Models to Language Universals
Recent historical reviews for language universals
Letter to Y. Of Broad Language 4th edition
Letter to Y. A little about change of the era
Letter to Y. Of Broad Language The 3rd edition
Stable and Unstable of Language For the Supposition of KARCEVSKIJ Sergej Completion of Language
Connection between early paper's quantum and recent paper's geometry 7th edition
Being led by Karcevskij's conjecture Reference added
Interpretation of Reversion conjecture
Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement
Papers on language dimension In chronological order Note added on 30 December 2017
The Days of Ideogram Ideogram from hieroglyph to LATEX Symbol List
Papers on language dimension In chronological order
Why is boundary necessary in language?
Basis of the further study on language – Potential
Noncommutative Distance Theory
Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement
Floer Homology Language Note 8 Discreteness of Language
Operad Meaning Theory From Cell to Operad
Clifford Algebra Note 7 Creation Operator and Annihilation Operator
Complex Manifold Deformation Theory Conjecture A 2 Reflection of Word
Conjectures for meaning in 2009
Additional Meaning in Word with Note
Papers on language dimension In chronological order
Time and Shape of Language from How is the time alive in language
Mathematical description for three elements of language universals
Karcevskij conjecture 1928 and Kawamata conjecture 2002
On Time Property Inherent in Characters
Connection between early paper's quantum and recent paper's geometry
Manuscript of Quantum Theory for Language
Paper History of Sekinan Library, SRFL and SIL
Recent Paper 3 Energy of language
Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement
At least three elements for language universals
Manuscript of Quantum Theory for Language Note added
Interpretation on Perelman's work, Ricci flow and Geometrization conjecture by KOBAYASHI Ryoichi
02/02/2016 16:43
01/02/2016 13:18
01/02/2016 13:15
Being led by Karcevskij's conjecture
Preparatory 8 Geometry For Geometrization Language
Preparatory 1-8 Total For Geometrization Language
Energy Distance Theory Conjecture 2 Geometry of Word
Preparatory 7 Reversion For Geometrization Language
Preparatory 6 Disposition For Geometrization Language
Preparatory Preface 1-7 Total For Geometrization Language
Preparatory 5 Time For Geometrization Language
Preparatory 1-4 Total For Geometrization Language
Preparatory 4 Dimension For Geometrization Language
Manuscript of Quantum Theory for Language - Note added
Preparatory 3 Distance For Geometrization Language
Preparatory 2 Energy For Geometrization Language
Preparatory 1 Boundary For Geometrization Language
Distance Theory Historical Review
Geometrization language Preparation 9 December 2017
Time and Shape of Language from How is the time alive in language
Preparation for the energy of language
Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement
At least three elements for language universals
Basis of the further study on language – Potential
27/11/2017 23:47
27/11/2017 23:44
27/11/2017 20:04
27/11/2017 20:00
Floer Homology Language Note 1 Potential of Language
11/11/2017 19:49
Karcevskij conjecture 1928 and Kawamata conjecture 2002 / I briefly wrote about the conjecture
10/11/2017 18:29
Preparation for the energy of language
01/02/2016 15:54
Geometrization Note 1 - Note 2
01/02/2016 15:38
01/02/2016 15:36
01/02/2016 15:33
Energy Distance Theory Note 1 Energy and Distance
01/02/2016 13:26
The days when I was thinking on Energy Distance Theory
01/02/2016 13:24
31/01/2016 20:25
31/01/2016 20:20
Read more: https://geometrization-language.webnode.com/
Tokyo
21 August 2020
Sekinan Geometry Modern
Person
Tokyo
11 April 2022
Sekinan Memory
Appendix of Language between Sergej Karcevskij and string theory, one century's trace
05/09/2017 14:16
24/08/2017 13:25
23/08/2017 12:30
19/08/2017 23:35
09/07/2017 18:14
Derived Category Language, 23 July 2016 Edition
23/07/2016 13:04
Preparation for Geometrization Language
27/08/2015 12:45
27/08/2015 05:09
Why I started Quantum-Nerve Theory? Note and Note 2 for The Time of Language
17/03/2020 19:19
18/02/2020 22:55
Quantum-Nerve Theory With References
17/02/2020 19:09
15/02/2020 18:44
What is signal? The existence that generates language. From ENSILA
15/02/2020 16:20
Chronicle Early Paper 2004-2008
06/12/2019 19:52
SEKINAN MATHBASIS. Model Simplified Level 2. Flash picture. 2005
06/12/2019 19:22
16/11/2019 15:09
What is Ideogram? Winding lanes to Quantum-Nerve Theory 2019
16/11/2019 13:57
Appendix of Memorial Essay 2016
07/11/2019 19:27
Language Comprised of Quantum Revised 2019
07/11/2019 18:20
07/11/2019 18:00
07/11/2019 17:08
Pre-theory of Quantum-Nerve Theory 2019
07/11/2019 14:46
Quantum-Nerve Theory With References
29/10/2019 22:30
Ideogram Paper 1-16 With Addition
29/10/2019 22:27
04/10/2019 16:25
02/08/2019 13:06
From Quantum Theory for Language to Languagequantum theory / 16 July 2019 Edition
16/07/2019 19:41
01/05/2019 19:27
29/04/2019 19:49
Manuscript of Quantum Theory for Language with Preface, Note and Note 2 2003-2018
24/04/2019 19:28
What is signal? Contents 24 April 2019
24/04/2019 18:58
What is signal? Total Edition 21 November 2018-23 April 2019
23/04/2019 19:33
What is signal? Preface-Comment Edition 21 November 2018 - 13 April 2019
13/04/2019 18:04
05/04/2019 19:41
29/01/2019 19:45
What is signal? Completed Zoho Edition / 15 January 2019
15/01/2019 22:30
What is signal? Preparation 2 Signal 8 / Over Edition / 15 January 2019
15/01/2019 19:23
29/12/2018 22:35
What is signal? A mathematical model of nerve 29 December 2018 Preparation Over Edition
29/12/2018 19:18
What is signal? A mathematical model of nerve 22 December 2018
22/12/2018 18:33
07/06/2016 19:19
Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague
03/06/2016 11:35
Derived Category Language, 25 May 2016 Edition
25/05/2016 21:08
25/05/2016 20:37
Language stability and triangulated category
23/05/2016 23:23
23/05/2016 20:23
Sekinan Archive - Invitation to language universals
23/05/2016 16:07
Additional meaning and embedding
23/05/2016 12:45
Karcevskij conjecture 1928 and Kawamata conjecture 2002
21/05/2016 00:43
Derived Category Language 2 Kawamata Conjecture
19/05/2016 23:08
Bridge across mathematics and physics / Revised
19/05/2016 20:48
Derived Category Language 1 Category theoretic mirror symmetry conjecture / References added
19/05/2016 14:15
19/05/2016 13:21
Derived Category Language 1, Category theoretic mirror symmetry conjecture
18/05/2016 00:23
Distance Theory Algebraically Supplemented Contents
14/05/2016 13:50
Bridge across mathematics and physics
13/05/2016 20:11
Kontsevich's conjecture Category theoretic mirror symmetry conjecture
10/05/2016 22:51
Manuscript of Quantum Theory for Language
07/05/2016 13:58
Genealogical Tree of Sekinan's Paper Sixth Edition
28/01/2016 20:11
Sekinan Zoho, New paper compile site of Sekinan
26/01/2016 20:19
IYANAGA Shokichi's An Introduction to Geometry. Tokyo. 1968
26/01/2016 19:47
26/01/2016 19:44
Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement
31/08/2015 16:02
At least three elements for language universals
31/08/2015 12:29
31/08/2015 11:59
Distance Theory Algebraically Supplemented Brane Simplified Model 2 Distance
31/08/2015 11:57
31/08/2015 11:56
31/08/2015 11:54
30/01/2016 11:26
Why is boundary necessary in language?
30/01/2016 11:25
Energy Distance Theory Note 1 Energy and Distance
30/01/2016 10:44
The days when I was thinking on Energy Distance Theory
29/01/2016 22:50
Genealogical Tree of Sekinan's Paper Sixth Edition
01/09/2015 19:19
Manuscript of Quantum Theory for Language
31/08/2015 17:39
Read more: https://srfl-theory.webnode.com/
Tokyo
22 August 2020
Sekinan Geometry Modern
Sekinan Table
January 2017-March 2019
Archive
30/10/2021 19:29
What is Ideogram? Winding lanes to Quantum-Nerve Theory 2019
30/10/2021 19:21
Article archive Theory and Paper 2003-2021
30/10/2021 19:15
Nerve Theory 2021
21/10/2021 18:25
19/10/2021 14:10
Abstract from Wellspring, Energy and Brownian Motion of Language 2008. Related Papers added 2020
19/10/2021 14:07
19/10/2021 14:05
Letter to WPM From Quantum Theory for Language to David Marr and Grisha Perelman. 7 June 2020
13/05/2021 17:42
13/05/2021 17:09
10/05/2021 18:31
06/05/2021 22:33
On dimension, synthesis, reversion, time, energy-distance, boundary, changeโs power and structure
06/05/2021 19:47
04/05/2021 18:30
Additional meaning and embedding
04/05/2021 17:59
Hyperbolic Language Connection of Words
04/05/2021 17:57
Diophantine Language Dimension of Words
04/05/2021 17:56
Letter to WPM. On Nerve Theory. 29 April 2021. References 1. 2. and 3. added 30 April 2021.
30/04/2021 18:33
30/04/2021 13:10
What is signal? Total Edition 21 November 2018-23 April 2019
29/04/2021 19:51
29/04/2021 16:27
Quantum-Signal 2020
12/08/2020 11:57
11/08/2020 18:40
Ideogram Paper 1-18 With Addition. Total Edition
11/08/2020 16:54
Paper 2019
18/02/2020 23:03
What is Ideogram? Winding lanes to Quantum-Nerve Theory 2019
16/11/2019 13:59
Quantum-Nerve Theory With References
14/10/2019 17:39
14/10/2019 17:14
Kac-Moody Lie Algebra Note 2 Quantum Group
01/10/2019 19:56
Place where Quantum of Language Existsใ2004๏ผ2008
30/09/2019 19:34
25/09/2019 21:10
Manuscript of Quantum Theory for Language 2003-2019 Newly revised edition with Note 3
16/08/2019 16:06
What is signal? Contents 24 April 2019
16/08/2019 16:02
What is signal? Total Edition 21 November 2018-23 April 2019
16/08/2019 15:58
01/05/2019 19:32
What is signal? Preface-Comment Edition 21 November 2018 - 13 April 2019
13/04/2019 18:00
What is signal? The existence that generates language Preface-Main Issue 3 / 17 March 2019
17/03/2019 18:38
ENSILA What is signal? Paper 1-6
11/03/2019 13:23
What is signal? Completed Zoho Edition / 15 January 2019
15/01/2019 22:31
What is signal? Preparation 2 / 8 Signal / Over Edition / 15 January 2019
15/01/2019 19:30
Site All
10 Extracts from Tale, Print, 2012
Paper Category
Paper Category Contents 2003-2018
14/08/2018 17:41
12/08/2018 23:39
QGL Paper
06/01/2019 19:26
Language and Spacetime, Symmetry Flow Language and Symmetry Flow Language 2 Contents 2007
29/12/2018 22:27
What is signal? A mathematical model of nerve 29 December 2018 Preparation Over Edition
29/12/2018 19:10
What is signal? A mathematical model of nerve 21 December 2018 Edition
21/12/2018 22:06
What is signal? A mathematical model of nerve 13 December 2018 Edition
13/12/2018 17:38
What is signal? A mathematical model of nerve 6 December Edition
06/12/2018 16:02
What is signal? A mathematical model of nerve 1 December Edition
01/12/2018 17:19
Place where Quantum of Language Exists
01/12/2018 16:18
22/11/2018 13:49
Quantum Group Language Word Indexed and Word Synthesized
14/07/2018 18:41
QGL Preparation
Ideogram Paper Enlarged Edition
From Hodge diamond of mirror symmetry by KONTSEVICH to mirror language
Preparatory Paper 2 for Quantum Group Theory
Quantum space through Poisson manifold's deformation quantization by Kontsevich
Pre-history for Quantum Group Language
Language, Amalgamation of Mathematics and Physics
Karcevskij conjecture 1928 and Kawamata conjecture 2002 / I briefly wrote about the conjecture
Meaning minimum 2017 Edition On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi
Operad Meaning Theory From Cell to Operad Revised Edition
Operad Meaning Theory From Cell to Operad
Floer Homology Language Note 8 Discreteness of Language
Floer Homology Language Note 7 Quantization of Language
Symplectic Language Theory Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH
Connection between early paper's quantum and recent paper's geometry 7th edition
Paper 2
13/08/2018 22:23
The days when I was thinking on Energy Distance Theory
13/08/2018 19:08
04/08/2018 22:12
03/08/2018 19:57
31/07/2018 22:37
31/07/2018 18:45
Algebraic Geometry Appendix of Language Universal Models
31/07/2018 18:34
31/07/2018 12:21
Language Universal Models sekinanlum Edition
31/07/2018 12:11
30/07/2018 20:04
For MAC LANE Saunders Categorical Approach toward Languageใ
29/07/2018 19:24
29/07/2018 13:52
29/07/2018 13:31
28/07/2018 23:50
Kac-Moody Lie Algebra Contents
14/07/2018 12:21
Floer Homology Language Note 8 Discreteness of Language
13/07/2018 23:55
Floer Homology Language Note 8 Discreteness of Language
13/07/2018 23:47
13/07/2018 23:39
Kac-Moody Lie Algebra Note 2 Quantum Group
13/07/2018 23:11
11/07/2018 11:54
Character encloses the time of word
11/07/2018 11:36
Language, amalgamation of mathematics and physics
09/07/2018 16:59
Perhaps Return to Physics TOMONAGA's Super Multi-time Theory PDF Edition added
09/07/2018 16:34
Kac-Moody Lie Algebra Note 1 Kac-Moody Lie Algebra
06/07/2018 19:38
Manuscript of Quantum Theory for Language with Preface, Note and Note 2 2003-2018
04/07/2018 23:03
Paper
Lineation For CHOMSKY Noam 2005
Manuscript of Quantum Theory for Language with Preface, Note and Note 2 2003-2018
Three Conjectures for Dimension, Synthesis and Reversion 2014, 2018 and 2018 United Edition
Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement 2014
From Additional Meaning to Dimension Decrease Conjecture Three Conjecture's Digest Edition 2018
Quantum Theory for Language Theoretical Summarization and Problem in Future
The Complete Works of WANG Guowei
Time and Shape of Language from How is the time alive in language
On Time Property Inherent in Characters
Presupposition on Natural Language
Dimension, Synthesis and Reversion
Clifford Algebra Note 5 TOMONAGA's Super Multi-time Theory. PDF Text added
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Posted by TANAKA Akio at February 05, 2022
From Author:
Google Translation has several ambiguous expressions by its automatism.
For preciseness, please refer to the original Japanese text if being possible.
Manuscript of Quantum Theory for Language
Preface
The "Quantum Theory of Language" shown below is a draft of the Quantum Theory for Language written in English, and was written at the Hakuba Alps Hotel in Hakuba, Nagano Prefecture in March 2003. This is the first time to announce. What I haven't published so far is that this draft was written in a hotel room with no material at all in a very short time, so its content is very intuitive and different from the usual discussion. Because it was quite radical for me. Moreover, the discussion ends halfway and remains unfinished. In the Quantum Theory for Language, which was written based on this draft for presentation at a symposium in December 2003, the purpose of the discussion is almost consistent, but the memory that made the expression more gentle is still clear. And remain. But now, when I read this draft back, the intuition and sharpness I was concerned about in 2003 was still deeply rooted in the essence of my linguistic theory, and it was almost a decade of mathematical linguistics. Looking back through the description, I have reaffirmed that some of the most important subjects I still have left to write are mostly those described in this draft. Quantization of language, appearance and disappearance of quantum, junction and hierarchy of quantum, quantum aggregate, progression and hierarchy of quantum group, positive quantum and negative quantum, meaning and energy of quantum. Both remain unknown and fascinating to me. In the future, I will return to the position of this draft again and spin my own thoughts again. Now that I am old, the essence precedes the form, and I will describe what I want to express most in the way that is most suitable for me. If some time is still left. The phrase that my teacher taught me when I was 20 is still alive. To the point where I'm about to fall into Yukimi.
It will be written in Tokyo on March 23, 2015.
Tokyo
23 March 2015Sekinan Library
Quantum theory of language
0 Introductionใ
Chinese, the main language in China, has a history of more than 2000 years of written language, that is, written language.
"The Analects", which represents the Chinese classics, is a textual material left in modern times, but at the same time, it is said to strongly include the oral language at the time of compiling the book. (Kojiro Yoshikawa 1967)
Here, I will try to analyze the language, which is related to both the written language (words) and the oral language (white story), mainly based on the example of "The Analects". ใIn Chinese, which is classified as an isolated language in the typology
of one language, one syllable has one meaning and one character, that is, Chinese character in principle. ใAlthough syllables may form new meanings in succession, each syllable always possesses the original independent meaning and letters without modification, which basically modifies the inherent rules of language of Chinese. It has been retained throughout the long history without any syllables. ใIt is assumed that the grammatical function of Chinese is formed by the arrangement of each word, that is, the word order, without any pronunciation or external change of letters, but the internal principle of the word order, that is, the syntax, is still sufficient. It cannot be said that we have seen the clarification. ใHere, "Theory", which is said to include both wording and white tales, is adopted for the Chinese language model, and the linguistic rules inherent in Chinese and the linguistic structure inherent in general languages are analyzed mainly by the approach of literary theory. It is something to try.
ใTraditionally, the syntax of Chinese has been classified into two categories: syntactic expletive and syntactic expletive. The syntactic expletive is said to have a substantive meaning, while the syntactic expletive is used to complement the meaning possessed by the expletive.
ใFor example, in the first passage of "The Analects", "Gakusei Toki Noriyuki, Unexpletive Theory" (Sentence Example 1), "Study", "Time", "Xi", "Yuki", and "Theory" are generally mentioned. It is an expletive, and "meta", "non", and "ไน" are syntactics.
ใHere, one Chinese character that possesses one meaning is regarded as a language quantum having one meaning unit, and is assumed to be the smallest unit of the language.
ใWhat has traditionally been categorized as a linguistic quantum usually has one unit of positive quantum. What has been syntactic expletive usually has one unit of negative quantum. One positive quantum is referred to as โ +, and one negative quantum is referred to as โ-.
ใA one-positive quantum has kinetic propulsion energy and has the power to move the quantum forward. A negative quantum has kinetic absorption energy and has the power to absorb the motion of the quantum and stop or change it. A one-positive quantum stops or changes its own motion by joining to a one-negative quantum.
ใAccording to Example 1 "Gakusei Tokiyuki, Fukui Theory", "Gaku" is changed by "Mitsu", and "Theory" is changed by "Fu", "Yu" and "Kou". The movement was changed and finally stopped.
ใThe kinetic energy of a positive quantum is usually always progressive and does not stop its motion until it joins a negative quantum.
ใThe motion absorption energy of the negative quantum usually has functions such as "pause", "direction change", and "stop".
ใAccording to sentence example 1, "meta" is "pause", "non" and "ไบฆ" are "direction change", and "ไน" is functioning as "stop".
ใIn summary, the quantum is the smallest unit of language with meaning and energy.
ใ
2 Appearance and extinction of
ใquantum Quantum appears when a new meaning is requested to appear in the linguistic world. The request is made when a new meaning is needed to be added to the linguistic world. The relationship between utterances and letters in a language is generally preceded by utterances, but in languages such as Chinese where one syllable has one meaning, the letters that follow are imaginary along with the act of utterance. It would be possible to assume that it was requested as a form. That is, one meaning requires one specific form of identification. This act is natural as a human activity.
ใLinguistic quanta emerge to add new meaning to the linguistic world. The energy possessed by the quantum is to add its new meaning to the linguistic world, and is inseparably combined with the new meaning.
ใQuantum disappears when its meaning is no longer needed in the linguistic world. In sentence example 1, "non" originally meant "flower pistil ovary", but its true meaning disappeared early, and it only functioned in the linguistic world as an expletive meaning "cancellation". rice field.
ใAs indicated by this "non", syntactic expletives and syntactic expletsives are not clearly distinguished in Chinese, and mutual entry and conversion have been carried out constantly. That is, as mentioned above, quanta initially appeared to give new meaning to the linguistic world.
Initially a positive quantum, the true word ends its role of giving meaning to the linguistic world, and its kinetic energy disappears. However, the traces of the formation and modification of the linguistic world by the kinetic energy of other quanta continue to receive motion or pressure from other quanta, and are given negative energy as quanta that accept the motion and survive in the linguistic world. Suppose you have something to do. In this way, negative quanta appear.
Since the negative quantum that appears has negative energy, it absorbs the energy of the positive quantum and stops or changes its motion.
3 Quantum junctions and layers
ใTwo or more quanta join each other to form a new structure.
ใAccording to sentence example 1 "Gakusei Tokiyuki, Confidential Theory", the quantum junction is as follows.
ใ<โ + โ๏ผโ + โ + โ + โ๏ผโ๏ผโ + โ๏ผ>
ใHere, the positive quantum moves the meaning to the next quantum. Negative quanta absorb, stop or change the kinetic energy of the previous quantum.
ใIt is clear that "meta" and "ไน" act as negative quanta to "stop" the structure, that is, the sentence, but the two negative quanta "non" and "ไบฆ" are the motions of the quantum. Suppose it is acting as a "change" of.
ใAccording to traditional grammar, "non" and "ไบฆ" complement the meaning of "theory", but in this quantum theory, the back quantum receives the energy of the front quantum, so in the conventional explanation Cannot be processed.
ใHere, "change" is to change the direction of the motion of the previous quantum. In this way, the motion of one positive quantum is transferred to another orbit. That is, positive quanta move in one orbit, but some "changed" negative quanta move that orbit to another, creating a new semantic structure.
ใThe trajectory is assumed to be a high-rise building with several floors as a model. Move from the "learn and sometimes learn" floor to another different floor.
Here, "non" moves to the floor that denies "learning and sometimes learning", and "ไบฆ" moves this "learning and sometimes learning" to the floor of new possibilities. "ไน" moves to the floor that casts doubt on this situation.
This series of situations is modeled and illustrated.
Gaku
ใโ Metanori โ
ใใใใใUn
ใใใใใใใโ ไบฆ Theory
ใใใใใใใใใใโ ไน
The famous passage of "The Analects", "Aritomo Jifurai" (The example is illustrated as follows.
ใAriho
ใใใโ Jigen 4 Quantum and quantum aggregate code Chemical ใquanta first appear as positive and their disappearance causes negative. Negative quanta are non-compressive quanta because they are meaningless in the group of positive quanta, so to speak, the semantic space once acquired as positive quanta. It is in a state of constant compression. It is assumed that the energy that is pushed out by the pump is stored in the negative quantum, and the orbit of the positive quantum is changed to move it to a different layer. ใTherefore, according to this quantum theory . For example, all the kanji of the Chinese language, that is, the quantum having meaning and energy, can be encoded as follows. Quantum ใ// Meaning โ Positive energy โ Negative energy โ The coding of "quantum" is as follows. / โ โ /ใใใ/ โ โ / / โ โ / / โ โ / / โ โ / ใใใใใใใใใใใ/ โ โ / ใใใใใใใใใใใใ / โ โ / / โ โ / ใใใใใใใใใใใใใใใใ/ โ โ /
ใ
Here, if / โ โ / is represented by the number 1 and / โ โ / is represented by the number 0, "Gakusei Tokiyuki, Fukui Theory" can be digitized as 101110010.
Therefore, it can be said that the sentence example 1 "Gakusei Tokiyuki, Fukui Theory" is the structure of the linguistic quantum of [Progress 5, Layer 4]. This is referred to as [move5, class4].
Since "Aritomo self-distant coming" in sentence example 2 is
Ariho
ใใโ self-distant coming
, it is coded as / โ
โ / / โ โ /ใ
ใใใใ/ โ โ / / โ โ / / โ โ / / โ โ / , and further. It is digitized as 110111 . Its structure is [move5, class1]. Another example is a sentence from "The Analects". "Three-year unrevised father's road, so-called filial piety" (Example 3) / โ โ / / โ โ / / โ โ / / โ โ / ใใใใใใใใใใใ/ โ โ / / โ โ / ใใใใใใใใใใใใใใใ/ โ โ / / โ โ / / โ โ / / โ โ / / โ โ / / โ โ / 111101010110 [move8, class5] 5 Progress in ใquantum group and hierarchy See the degree of progress in one hierarchy in a sentence that is a quantum group. In sentence example 1, 5/4 is 0.8 degrees. In sentence example 2, 5 times is 5 degrees. In sentence example 3, 8/5 is 1.6 degrees. Here, we will consider what kind of index the one-level progress frequency is.
The degree of progress 1 is the ratio of syntactic expletive 1 to actual word 1 in the wording, and can be considered to be the clearest sentence in which one meaning exists in one layer.
Therefore, when the degree of progress is 1 or more, there are two or more meanings in one layer, and one meaning is defined in detail and a finer meaning is presented.
On the contrary, when the degree of progress is less than 1, one meaning is not presented in one layer, and the meaning is completed only by two or more layers, which is a supplementary meaning around one meaning. By adding the content, a more constructive meaning is established.
ใSentence example 1 is a 0.8 frequency sentence with a supplementary meaning added. Sentence example 2 is a 5th frequency, which is a sentence with a fine meaning. Sentence example 3 is 1.6 degrees, which is a sentence with almost standard or slightly finer rules.
6 Basic Principles of
ใQuantum Theory Quantum theory is based on the fact that positive quanta, which is traditionally regarded as a real word, progresses in one layer. Therefore, in a certain quantum group, that is, a sentence, when a negative quantum is at the beginning, it can be considered that the positive quantum or the quantum group is omitted before it.
It is said that the negative quantum changes the traveling direction of the positive quantum and shifts to a new hierarchy due to the compression energy received by the negative quantum, but it can be explained more accurately as follows.
The meaning of "ya", which is generally regarded as an expletive, is unclear in modern times, and it can be considered that it has almost disappeared as a positive quantum. Instead, the syntactic expletive function as a negative quantum has emerged and continues to the present day, but if the function is subdivided, it is extremely diverse, such as assertion, subject presentation, call, mourning, question, and irony.
For example, in "Kaiya Foolishness" ("The Analects"), the person "Kai" is denied (and the hierarchy changes) in the heart of Confucius (the hierarchy changes). (The hierarchy changes) "The kind of confucius" is presented. "
The hierarchy changes" means that the person "time" was transformed from a real person to a consideration object in Confucius's mind by the appearance of "ya", and the consideration object is " It means that it is erased by "impairment", and it means that a new concept of "foolishness" appears.
That is, the negative quantum does not have a direct meaning to the linguistic world that the positive quantum has, but it is a kind of vacuum weightlessness by guiding the positive quantum to its own region that is no longer blank as a matter of fact. It is assumed that the state is brought to life and its orientation is changed. It is assumed that the energy required for the conversion comes from the energy of the pressure applied to the area.ใ
7 Meaning of Negative Quantum The meaning of
ใa negative quantum is often much more subtle than the meaning of a positive quantum, as is clear from the above-mentioned classification of the meaning of "ya". How can these meanings be considered to have emerged?
ใIt was assumed that the negative quantum extinguished its function as a real word and had a kind of vacuum region, but once the meaning of assertion was established here, the meaning of the positive quantum that was previously joined to this "ya" , The vacuum region will show a constant reaction. For example, when a person's name such as "time" is joined before, "ya" functions as a subject presentation, which is a transformation of affirmative semantic function.
8 Energy of negative quanta
ใIt has already been described in "2 Appearance and disappearance of quanta" that the energy of positive quanta is given to add a new meaning to the linguistic world, but here there is a negative quantum.
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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 229 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 Group2008Papers 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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Tokyo
20 June 2018
Sekinan Zoho
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Tokyo
29 June 2018
SRFL Lab
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
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23 March 2015
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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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ใใใโ่ช้ ๆนๆฅ
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๏ผใ้ๅญใจ้ๅญ้ๅไฝใฎ็ฌฆๅทๅ
ใ้ๅญใฏๅใ้ฝๆงใจใใฆๅบ็พใใใใฎๆถๆป ใซใใฃใฆ้ฐๆงใ็ใใใ้ฐๆง้ๅญใฏ้ฝๆง้ๅญใฎ็พคใซใใฃใฆใฏใ็กๆๅณใงใใใใใซ้ๅง่ฟซ้ๅญใงใใใ้ฝๆง้ๅญใจใใฆใใคใฆ็ฒๅพใใๆๅณ็ฉบ้ใใใใฐไธๆญใซๅง็ธฎใใ็ถใใ็ถๆ ใซใใใใใใใฆใใณใใงๆผใๅบใใใใใใชใจใใซใฎใผใ้ฐๆง้ๅญใซ่ใใใใ้ฝๆง้ๅญใฎ่ป้ใๅคๆดใใฆ็ฐใชใ้ๅฑคใธ็งปๅใใใใใจใจใชใใจไปฎๅฎใใใ
ใใใใใฃใฆใใใฎ้ๅญ็่ซใซใใใฐใๆผข่ชใฎใในใฆใฎๆผขๅญใใใชใใกๆๅณใจใจใใซใฎใผใๆใใ้ๅญใฏใๆฌกใฎใใใซ็ฌฆๅทๅใใใใจใใงใใใ
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ใๆไพ๏ผใฎใๅญฆ่ๆ็ฟไนใไธไบฆ่ชฌไนใใฎ็ฌฆๅทๅใฏไปฅไธใฎใใใซใชใใ
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ใใใใใใใใใใใ/โโ/
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
/โโ/ใ/โโ/ใ/โโ/ใ/โโ/
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 229 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 paperInherent energy in language has been become a little updated after writing in 2003.
Now arranged at the next.
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Tokyo
20 June 2018
Sekinan Zoho
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Tokyo
29 June 2018
SRFL Lab
2003
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