Why the roses are so special? I have not the answer. What I can only say is that rose tells us the time passing or the life's importance as like we need in our times, so to speak, affection.
SRFL News
Thursday, 29 May 2014
The rose days are over but still I remember its delight
This season's rose days are over. But I still remember the splendid figures in my mind.
Why the roses are so special? I have not the answer. What I can only say is that rose tells us the time passing or the life's importance as like we need in our times, so to speak, affection.
Why the roses are so special? I have not the answer. What I can only say is that rose tells us the time passing or the life's importance as like we need in our times, so to speak, affection.
Rhododendron flower has bloomed after rose season
In the garden white rhododendron has bloomed after white rose season.
Surely we have a tiny heaven in the garden since we had cultivated the soil.
Surely we have a tiny heaven in the garden since we had cultivated the soil.
Photos taken at 29 May 2014
Monday, 26 May 2014
The temple of ravine, pre-modern architecture of Tokyo
We went to Itsukaichi Ravine, west area of Tokyo at 14 May, where deep green forest was near the Akigawa River. From Itsukaichi some 15 minute walk to the temple. All was calm and solemn in the precincts.
The main gate of Kotokuji Temple,Itsukaichi, Tokyo
The main hall of Kotokuji Temple
The veranda of main hall
The temple window and the board of telling the meal time
The Akigawa River and the Ravine
All photos taken at 14 May 2014
Distance Theory Historical Review
Sekinan Research Field of Language
Distance Theory
Historical Review
TANAKA Akio
Historical Review
TANAKA Akio
Memory
The Time of Quantum
The Time of WANG Guowei
The Time of Language
The Time of Wittgenstein
From Distance to Pseudo-Kobayashi-Distance
Intuitive Concept
On Time Property Inherent in Characters
Quantum Theory for Language
Distance Theory Prague Theory
Quantum
Quantization of Language
Discreteness of LanguageDistance
Distance of Word
Orbit of WordDimension
Dimension of Word
Connection
Connection of Words Hyperbolicity
Reflection of Word
Boundary of Words
Tokyo
February 11, 2012
Sekinan Research Field of Language
Salute, this year's rose season
The rose season soon ends this year's fabulous time. Salute, good bye to the next year. Many people has seen the tiny garden's lovely white roses and a few red roses probably with love.
Sunday, 25 May 2014
The Murayama Dam, the place if the heaven falls on the earth
I love the Murayama Dam for its calmness,spread to the far mountains and clear high sky. Ever on father's back I went and now with wife. All at ease.
Mitake Ravine, West end of Tokyo
Yesterday we went to the Mitake Ravine to see its fine landscape and the Tama River's coolness. The hiker and one-day campers were so many to make lunch or barbecue. We ate the light lunch at the river front while birds were flying and catching their foods from the river.
Saturday, 24 May 2014
Word construction and its dimension / 4 September 2013
TANAKA Akio
Tokyo
4 September 2013
1.
Here language means language model that is described by mathematics.
Here language means language model that is described by mathematics.
2.
Description is done by arithmetic geometry.
Description is done by arithmetic geometry.
3.
Language model has not any relationship with natural language.
Language model has not any relationship with natural language.
4.
Language model adopts the themes derived from some phenomena of natural language.
Language model adopts the themes derived from some phenomena of natural language.
5.
The model dealt here is related with the next two themes.
(1) Parts and whole at the construction of word.
(2) Dimension of word constructed from parts to whole.
The model dealt here is related with the next two themes.
(1) Parts and whole at the construction of word.
(2) Dimension of word constructed from parts to whole.
6.
(Theorem)
The next i and j are regular closed immersion of codimension c, d.
(Theorem)
The next i and j are regular closed immersion of codimension c, d.
i : X→Y, j : Y→Z
Here is given Cartesian diagram of the next scheme.
X'—i'→Y'— j'→Z'
↓ ↓ ↓
X—i→Y— j →Z
↓ ↓ ↓
X—i→Y— j →Z
At this time the next equality sign is set up.
(j O i)! = i! O j! : CHr(Z') → CHr–c–d(X')
7.
Consideration
Here i is supposed to be one meaning minimum and j is the another one meaning minimum.
Also X is supposed to be old word and Z is supposed to be constructed new word and Y is supposed to be internal word that is located between X and Z.
(1) The whole of word is constructed from the parts of word.
(2) The dimension of new word has lower dimension than the old word. The new word's dimension's decrease is equal to the r minus the sum of codimensions of i and j.
That is to say, the dimension of new word decreases than the dimension of old word. The degree of decrease is related with the codimensions of additional meanings.
Consideration
Here i is supposed to be one meaning minimum and j is the another one meaning minimum.
Also X is supposed to be old word and Z is supposed to be constructed new word and Y is supposed to be internal word that is located between X and Z.
(1) The whole of word is constructed from the parts of word.
(2) The dimension of new word has lower dimension than the old word. The new word's dimension's decrease is equal to the r minus the sum of codimensions of i and j.
That is to say, the dimension of new word decreases than the dimension of old word. The degree of decrease is related with the codimensions of additional meanings.
♦ Here ends the paper.
Zoho sites of SRFL Sekinan Research Field of Language
Zoho sites of SRFL show the mathematical approach to clear description for language essential parts.
The URL is the next.
The URL is the next.
The garden hedge rose towards the sky
19 May 2014
19 May 2014
Friday, 23 May 2014
sekinanArchive
sekinanArchive is the data house of papers, essays and photos from 2003 related with theoretical language study.
sekinanArchive
sekinanArchive
The archive of
SRFL Sekinan Research Field of Language
Chronicle
Dedication
Dictionary
File
Site
Zoho
Tokyo
13 April 2014
Sekinan Research Field of Language
Symmetry and Infinity. For Climber OKADA Noboru
Symmetry and Infinity
1 Grammar <Language World, Real World>
2 Freedom and String <World, Anti-World>
3 Distance <Real Language, Mirror Language>
4 Sentence <Finiteness, Infinity>
[Snowy Dawn Tokyo February 3, 2008]
Tokyo
19 April 2014
Sekinan Research Field of Language
Thursday, 22 May 2014
Wednesday, 21 May 2014
sekinanpaper, latest papers of SRFL
sekinanpaper shows the latest papers on language at SRFL.
The pond of Murayama Dam, Sayama Hills, Tokyo
Photo taken at 19 May 2014
Reversion Conjecture Revised
Reversion Conjecture is the utmost paper of SRFL Sekinan Research Field of Language.
The paper's URL is the next
The paper's URL is the next
The pond and the iris in the Murayama Dam Park
Photo taken at 19 May 2014
Photo taken at 19 May 2014
Tuesday, 20 May 2014
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
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 / 5 May 2004
Reversion Theory 2004 / 27 September 2004
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 / 5 May 2004
Reversion Theory 2004 / 27 September 2004
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.
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
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
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
1 May 2014
Sekinan Research Field 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
1 May 2014
Sekinan Research Field of Language
Monday, 19 May 2014
At Bank of Dam Again
Sekinan Research Field of Language
At bank of dam we conversed with friends on many innocent themes in our youth days. Long time ago the place was the sight of the fireworks, for which father took me and elder sister to see in the summer night. When returning home you perfectly slept soundly at father's back, the sister said to me later.
After some thirty years after, we came again with the family to play in the fallen leaves at the bank of dam. Children were rolling down at the slope of the bank wearing golden leaves on the clothes.
And after half a century we have come again at the bank with wife protecting leg's slight pains each other.
After some thirty years after, we came again with the family to play in the fallen leaves at the bank of dam. Children were rolling down at the slope of the bank wearing golden leaves on the clothes.
And after half a century we have come again at the bank with wife protecting leg's slight pains each other.
Water Intake Tower of Murayama Dam
Murayama Dam is located at the west Sayama hills of Tokyo. I have come here frequently since in my child days, the first being carried on father's back. Today with my wife took lunch at the bench facing at the pond near the Dam. Wind was so cool and the air fresh, birds and frogs were singing by their best songs.
The water intake tower of the Sayama Hills, Tokyo
Also refer to the next.
sekinanfresh, new top page of SRFL
sekinanfresh is the new top page of the language research site SRFL.
The URL is the next.
The URL is the next.
Photo taken at 16 May 2014
Saturday, 17 May 2014
For their best , some ten years needed
After some ten years, the roses are now blooming their best style.
Flower in the garden, verbena
At the hedge' pot, verbena has bloomed today after rather long preparation. 16 May 2014
Friday, 16 May 2014
Rose of Today 16 May 2014
White rose, "Fresh Snow" has bloomed at the hedge this early summer. I have love this rose 15 years.
Also refer to the next
Pinterest, SRFLPhoto Flower and Woodwork
SRFLPhoto is the photo site of SRFL Sekinan Research Field of Language.
SRFLNews: The language research site, SRFLTheory renewed
Thursday, 15 May 2014
Rose season, early summer delight
Rose season has come again in the garden. I have waited the time after long one year passing. The season's highlight only keeps one week or so. The early summer always passes rapidly. So probably we all love this flower.
Three photos have been taken at 15 May 2014
Also refer to the next
Tuesday, 13 May 2014
Preparation for Description on Language
Preparation for Description on Language
TANAKA Akio
TANAKA Akio
For clear description on meaning, word and language, mathematical method is essentially inevitable for me after long wandering about traditional way of study on language, especially through the vast heritage of the Linguistic Circle of Prague.
Minute description has gotten under way using the mathematics, in my part, particularly of algebraic geometry. The foundation and decision to adopt mathematics became actualizing between 2003and 2008. Definitive style was found at a group papers of Complex Manifold Deformation Theory 2008-2009.
After this CMDT papers, my standpoint of study has never wavered any more.
Here I show the preparation styles to reach the CMDT and the CMDT papers that made the firm base of description at the next.
Subsequent papers of CMDT are shown at the Zoho sites that has been the main place of my study till now.
1.
Holomorphic Meaning Theory / Tokyo June 15, 2008
Holomorphic Meaning Theory 2 / Tokyo June 19
3.
Zoho / sekinanlatest 2008-2014
TokyoHolomorphic Meaning Theory 2 / Tokyo June 19
2.
Complex Manifold Deformation Theory / 2008-20093.
Zoho / sekinanlatest 2008-2014
13 May 2014
Sekinan Research Field of Language
One starting point of descriptive way for language study
1
Complex n-dimensional open ball is presented. Abbreviation is n open ball. The notation is B ( a, R )
R > 0
Open set { z∈Cn | | z-a | < R }
2
Open set of Cn Ω
Map fromΩ to open set of Cn, Ω’ F = (f1, f2, …, fn )
Element of F fj
When fj is normal function over Ω, F is called holomorphic map.
Composition of holomorphic map is also holomorphic map.
3
Set of all the holomorphic functions over Ω A (Ω )
f ∈A (Ω ) ⇒ 1/ f ∈A (Ω ╲ f -1(0) )
Holomorphic map that has holomorphic inverse map is called biholomorphic map
When there exists biholomorphic function from Ω to Ω is called biholomorphic equivalent.
Bijective holomorphic map is biholomorphic.
Biholomorphic map from Ω to Ω is called holomorphic automorphism that becomes group by product as composition.
The group is called holomorphic automorphism group. The notation is Aut Ω.
4
Each n open ball is holomorphic equivalent.
B ( (0,0, …, 0 ) is notated as B n.
5
All the locally 2 powered integrable functions L2loc (Ω)
A (Ω ) = {f ∈ L2loc (Ω) | ∂f /∂
j = 0, j = 0, 1, …, n }
j = 0, j = 0, 1, …, n }
6
n open ball B (a, R ) ⊆ Ω
Volume element of ∂B (a, R ) dS
Vol ( ∂B (a, R ) ) : = ∫∂B (a, R )dS = 2πnR2n-1/(n-1)!
A (Ω ) is closed subspace on topology of L2convergence .
A (Ω ) and A (Ω )2 is separable.
7
Domain Ω
Point a
z ∈Ω
ζ∈(∂B)n
ζ∈(∂B)n
For arbitrary z∈Ω and ζ∈(∂B)n, when (a1+ζ1・(z1-a1), …, an+ζn・(zn-an) ) ∈Ω is satisfied, Ω is called Reinhardt domain centered by a.
For arbitrary z∈Ω and ζ∈∂Bn, when (a1+ζ1・(z1-a1), …, an+ζn・(zn-an) ) ∈Ω is satisfied, Ω is complete Reinhardt domain centered by a.
n open ball B (a, R ) is complete Reinhardt domain.
8
n dimensional complex ball that has center 0 D = B n
D’s logarithm image log D is defined by the next.
D’s logarithm image log D is defined by the next.
log D = {x∈(R∪{-∞})n | ex : = (ex1, …, exn) ∈D }
When dialog image is convex, D is logarithm convex.
Outer point of D a
Monomial ma(z)
supz∈D | ma(z) | < ma(a) = 1
Word, meaning element and distance are defined by the next at simplified level.
Word : = B n ( = complete Reinhardt domain centered by 0 )
Meaning element : = a ( = Outer point of D)
Distance : = supz∈D | ma(z) | of monomial ma(z)
9
Word, meaning element and distance are considered in connection with Cauchy-Riemann equation.
[References]
<Distance>
Tokyo June 8, 2008
[Postscript June 19]
On holomorphic, refer to the next.
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