The Complete Works of WANG Guowei / 24 May 2012

The Complete Works of WANG Guowei 
TANAKA Akio  




                                        

I sometimes read The Complete Works of WANG Guowei, Letters, Shangwu Yinshuguan 1984. Astonishingly he read all the texts of vast Jiyun in one day, that is Song dynasty's comprehensive some 50,000 Chinese characters dictionary. Moreover he inspected all the characters description's correctness and commented their situation to his life time teacher LUO Zhenyu.

Tokyo
24 May 2012
Sekinan Research Field of Language

Max Delbluck From Physics to Biology Application to different Fields / 31 July 2012

Max Delbluck
From Physics to Biology
Application to different Fields 

TANAKA Akio  
                                        

Ernest Peter Fischer and Carol Lipson's THINKING ABOUT SCIENCE Max Delbluck and the Origins of Molecular Biology, 1988 shows me the importance of application to the different fields.
The most impressive part is that when Delbluck spoke at the conference of biology, he said that if life be supposed to a sphere..., the audiences was laughing all together.
Delbluck was turned the view from the complexity to the simplicity. It opened the new world to molecular biology. The story of Delbluck has suggested me the new frontier of language study till now.
Refer to the next essay of Sekinan Research Field of Language.
Aim 2004.

Tokyo
31 July 2012
Sekinan Research Field of Language

[Reference added / 12 August 2014]
Quantum Theory for Language / 15 January 2004

Writing Style of Papers in 2013 / 1 May 2014

Writing Style of the Papers in 2013

TANAKA Akio  
                                        
From 2013 I changed a little on the writing style of papers. I have always thought on the several concepts for language universals and their surroundings. Synthesis of old meaning and new meaning is one of the most important themes. Dimension of language is also a big theme for long time from my beginning of the study.

Recently I frequently use the web site, webnode, in which the top page almost has "News" column that is very convenient to write tiny memo-like ideas I have always been thinking. Ending the memo and uploading the site, writing date and time are inevitably mentioned. It is very useful for me because I always need the date of thinking the theme.

So I made some sites by the webnode. But after using for the facing work they are almost deleted for cleaning the history of my task. I do not want remaining the footprints of my trifling works. At the result my remaining webnode site is only one, that is named SRFLNote in which there are some trivial notes on the study now.

Several papers written by the webnode "News" column  are shown at this site.
For this writing situation , "Dimension Decrease Conjecture",  "Conjecture for synthesis of meaning in word"and "Conjecture for reversion of language" have peculiar style from the ordinary papers.

From now on, what this style will be kept on is uncertain for me, but I think that adequate themes by this style will be remained, for example, on the field of the hierarchy of language related with dimension.

If the time exists some for me, I will write more several papers on the important themes using mathematical notations to the unknown world of language hereinafter. 

References
1. webnode
HILLSSOUTHROAD / 2013

2. Papers
"Dimension Decrease Conjecture" / 2013
"Conjecture for synthesis of meaning in word" / 2013
"Conjecture for reversion of language" / 2013


                                                              Tokyo
                                                        1 May 2014
                                  Sekinan Research Field of Language

Language, Amalgamation of Mathematics and Physics / 2 April 2013

Language, Amalgamation of Mathematics and Physics  

TANAKA Akio
2 April 2013
                                        
Language will become the urgent agenda of this century. Language will be recognised as the amalgamation of mathematics and physics. Because language is mathematically designed physical transmission system in human being. This transmission is finite and compact within a human body  but infinite and eternal connected with the outer worlds in the universe.

[References]

1. Relation between mathematics and physics  Operad Meaning Theory. From Cell to Operad. 24 March 2013. ifbetruezoho
2. finite and compact  Simplicial Space language. Composition of Word. 20 January 2013. ifbetruezoho
3. Infinite and eternal Infinite Loop Space language. Word as Infinite Loop Space. 6 December 2012. sekinanmodel

                                                                 Tokyo
                                                         15 April 2014
                                      Sekinan Research Field of Language

Source: Language, Amalgamation of Mathematics and Physics. sekinan.org

Synthesis Conjecture / 1 May 2014

Synthesis Conjecture

Conjecture for synthesis of meaning in word

TANAKA Akio


Synthesis
1 Conjecture for synthesis of meaning in word
29/09/2013 19:25
For synthesis of meaning in word, Conjecture: Condition for synthesis of meaning in word is proposed by cohomological expression.

2 Conjecture: Condition for synthesis of meaning in word
29/09/2013 18:38
On condition for synthesis of meaning in word,  at conjecture is proposed  by the next result of etale cohomology.
Result
——————————————————-
Canonical natural equivalence
The next two are left exact additional functors.
F: A  -> A’ 
G: A’ -> A”
A and A’ have enough many injective objects.
If F transfers A’ s injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF.
——————————————————–
Conjecture
Preparation
Word is shown by R. This word is called old word.
Base meaning in word is shown by F.
Word that has base meaning is shown by RF.
Additional meaning to word is shown by G.
Word that has additional meaning is shown by RG. This word is called intermediate word.
Word that has base meaning and additional meaning is shown by R ( G O F ). This word is called new word.
Conjecture
For completion of new word, old word and intermediate word have the condition shown by the canonical natural equivalence of etale cohomology.

3 Canonical natural equivalence
29/09/2013 18:08
Canonical natural equivalence
The next two are left exact additional functors.
F: A  -> A’ 
G: A’ -> A”
A and A’ have enough many injective objects.
If F transfers A‘s injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF.

Source: Conjecture for synthesis of meaning in word / sekinanlatest 2013


                                                               Tokyo
                                                        1 May 2014
                                    Sekinan Research Field of Language

Dimension Decrease Conjecture / 1 May 2014

Dimension Decrease Conjecture


TANAKA Akio
1 Dimension conjecture of word
23/09/2013 23:04
Word has dimension. New addition of meaning to word makes dimension of word decrease.
Basis
Pull back map of higher Chow group
23/09/2013 16:11
Pull-back map of higher Chow group is bijection.
Conjecture on language
When word has additional meabning, dimension of word is decreased by dimension of additional  meaning.
Refer to thenext.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho.

2 SAITO Shuji, SATO Kanetomo
24/09/2013 10:14S
SAITO Shuji, SATO Kanetomo. Algebraic Cycle and Etal Cohomology. 2012.

3 Pull-back map of higher Chow group
23/09/2013 16:11
Pull-back map of higher Chow group is bijection.
Conjecture on language
When word has additional meabning, dimension of word is decreased by dimension of additional meaning.
Refer to thenext.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho.

4 Y. Nesterenko, A. Suslin
23/09/2013 15:30
Y. Nesterenko, A. Suslin.
Homology of the general linear group over a local ring, and Milnor’s K-theory. Math. 1990.

5 Higher Chow ring
23/09/2013 15:21
Double graded Abel group becomes double graded ring by defined intersection product.
Its product become commutative at one degree and become noncommutative at the another degree.

6 W.Fulton
23/09/2013 11:01
W. Fulton. Intersection Theory, 2nd ed. 1988.
Refer to the next.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho.

7 V. Vodoedsky
22/09/2013 20:09V.
V. Vodoedsky
On motivic cohomology with Z/2-coefficients. Math.98. 2003.
On motivic cohomology with Z/l-coefficients. Ann. of Math.

8 Map that norm residue map induces
22/09/2013 20:03
When k is field and n is commutative integer, map that norm residue map induces is bijection.


                                                               Tokyo
                                                        1 May 2014
                                    Sekinan Research Field of Language

Reversion Conjecture Revised / 20 May 2014, Revised

Reversion Conjecture Revised

TANAKA Akio

---

Simplification of Reversion conjecture

Reversion conjecture is simplified by Kerz-Saito's theorem, 2012.
Kerz, M., Saito, S.: Cohomological Hasse principle and motivic cohomology of arithmetic
schemes.
2012

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

Interpretation of Reversion conjecture
According to Reversion conjecture, language has a standstill point in itself.
Here it means that every word has standstill point and every word has a proper distance from
the standstill point. This distance constructs word's proper meaning and grammar.
Refer to the next.
Distance Theory 2004 / SRFL
Reversion Theory 2004 / SRFL

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

New starting point on language, Reversion conjecture
Reversion conjecture may become the new starting point on language, especially on language
universals.
Reversion conjecture has the preparatory thinking by algebraic geometry. 
Refer to the next.


Dimension Decrease Conjecture 2013 
Synthesis Conjecture 2013
Reversion Conjecture 2013

For more details, see the next.
sekinanfresh / SRFL Sekinan Research Field of Language

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

Reversion Conjecture
Reversion Conjecture
Conjecture for reversion of language

Conjecture for reversion of language
14/10/2013 11:21
Conjecture for reversion of language
Language has a standstill point in itself.

[Explanation]
This conjecture’s intuition is prepared at the paper, Reversion Theory 2004 at Sekinan
Research
Field of Language.
This conjecture’s mathematical basis is given by Kato conjecture 1986. The conjecture is said
to be given cohomological Hasse principle at unramified number theory.

[References]
News. hillssouthroad
News
Reversion Theory 2004
14/10/2013 11:10
Kato conjecture 1986 
13/10/2013 23:07
K. KATO, 1986 
12/10/2013 19:52

Read more: http://hillssouthroad.webnode.com/

                                                                                          Tokyo
                                                                                    1 May 2014
                                                               Sekinan Research Field of Language

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

Tokyo
20 May 2014, Revised
Sekinan Research Field of Language 

Hatonosu Ravine, Tokyo

29 July 2014