Conjecture for reversion of language

TANAKA Akio

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
                                                        1May 2014
                               Sekinan Research Field of Language

Conjecture for synthesis of meaning in word

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.
——————————————————–
ConjecturePreparation
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 18:08Canonical 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.

Dimension Decrease Conjecture

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 meaning, dimension of word is decreased by dimension of additional  meaning.
Refer to the next.
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 meaning, 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.
              

Descriptive Basis for Language Universals

                 Descriptive Basis  for Language Universals                                     

Algebra

• Algebraic Linguistics 
• Distance Theory Algebraically Supplemented
• Noncommutative Distance Theory
• Clifford Algebra
• Kac-Moody Lie Algebra
• Operator Algebra 

Geometry

• Complex Manifold Deformation Theory
• Language Manifold Theory
• Topological Group Language Theory
• Symplectic Language Theory
• Floer Homology Language
• Arithmetic Geometry Language

                                                        Tokyo
                                              As of 18 April 2014
                                Sekinan Research Field of Language

Writing Style of the Papers 2013 on Language Study

Writing Style of the Papers 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 (Archive)

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

The language research site, SRFLTheory renewed

The language research portal site, SRFLTheory has been renewed.
The URL is the next.

http://srfltheory.weebly.com/

sekinanlatest, the site for language universals

sekinanlatest is the relevant site of this SRFLNews, which presents the papers related with language universals.
The URL is the next.

http://www.sekinan.org/index10December2012.html