CHINO Eiichi and Golden Prague

CHINO Eiichi and Golden Prague

TANAKA Akio
                                

     

C also died early, who had taught me Russian and linguistics. He loved

the old city that had the beautiful towers and bridges.

In C's many works there was the essay "The Moon of Carpathians". He wrote

that the conference was over, departed at Kiev, saw the moon and

churches over the Carpathian Mountains, impetuously went to the west,

passed Slovakia, Moravia, Bohemia, and at last reached "Golden Prague". Prague, it was his youth itself.

Now I cannot hear his voice telling the various anecdotes on languages,

of which he freely had commanded. By the short heading, a newspaper

reported his death, naming as  "the genius of linguistics".

[References]

• From Distance to Pseudo-Kobayashi Distance / 5 February 2012
• Linguistic Circle of Prague / 13 July - 19 July  2012
• Prague in 1920s, The Linguistic Circle of Prague and Sergej Karcevskij's paper "Du dualisme asymetrique du signe linguistique" / Print, 2012

                                                                  Tokyo
                                                         28 June 2014

2 October 2014 Note added

                                    Sekinan Research Field of Language

Sekinan Paper, Tokyo

Sekinan Paper

Tokyo
1 June 2015 arrangedStudy result of Sekinan Library from 1986, SRFL from 2003 and Zoho from 2008

Sekinan Paper is the paper site of Sekinan Library and SRFL Sekinan Research Field of Language.
Sekinan Library was founded at Tachikawa, Tokyo in 1986 for the study of language.
In 2003 for the special study site of language universals, SRFL Sekinan Research Field of Language was added at Hakuba, Nagano.  

SEKINAN VIEW - BLOG

The summer of Kirigamine Highlands
 I have stayed and written the papers at the lodge nearby

Time of Word

Complex Manifold Deformation Theory​

 

​

 

Conjecture A 

5 Time of Word 

​

 

TANAKA Akio 

     

​

 

Conjecture 

Word has time.​

​

[View¶]​

¶Mathematics is a view in which I freely appreciate objects as if I see flowers, mountains 

and vigorous port towns at dawn.  ​

1​

Kähler manifold     X​

Kähler form     w​

A certain constant     c​

Cohomology class of w     2πc1(X)​

c1(X)>0​

Kähler metric     g​

Real C∞ function     f​

∫X (ef- 1)wn = 0​

Ric(w) -w = f​

2​

Monge-Ampère equation ​

(Equation 1)​

Use continuity method​

(Equation 1-2)​

Kähler form     w' = w +  f​

Ric(w') = tw' + (1-t)w'​

δ>0​

I = {  }​

3 is differential over t.​

Ding's functional     Fw​

​

4​

(Lemma)​

There exists constant that is unrelated with t.​

When utis the solution of equation 1-2, the next is satisfied.​

Fw(ut)C​

5​

Proper of Ding's functional is defined by the next.​

Arbitrary constant     K  ​

Point sequence of arbitrary P(X, w)K     {ui}​

(Theorem)​

When Fw is proper, there exists Kähler-Einstein metric.​

​

[Impression¶]​

¶ Impression is developed from the view.​

1​

 If word is expressed by u , language is expressed by Fw and comprehension of human 

being is expressed by C, what language is totally comprehended by human being is 

guaranteed.​

Refere to the next paper.​

#Guarantee of Language​

2​

If language is expressed by being properly generated, distance of language is expressed by 

Kähler-Einstein metric and time of language is expressed by t, all the situation of language 

is basically expressed by (Equation1-2).​

Refer to the next paper.​

#Distance Theory​

3​

If inherent time of word is expressed by t's [δ, 1], dynamism of meaning minimum is 

mathematically formulated by Monge-Ampère equation.​

Refer to the next papers.​

#1<For inherent time>​

On Time Property Inherent in Characters​

#2<For meaningminimum>​

From Cell to Manifold​

#3<For meaning minimum's finiteness>​

Amplitude of Meaning Minimum​

​

​

Tokyo January 1, 2009​

Sekinan Research Field of language​

 

Amplitude of Meaning Minimum

Complex Manifold Deformation Theory 

​

 

Conjecture A 

4 Amplitude of Meaning Minimum 

​

 

TANAKA Akio 

     

​

 

Conjecture 

Meaning minimum has finite amplitude.​

​

[View*]​

*Mathematics is a view in which I freely appreciate objects as if I see flowers, mountains 

and vigorous port towns at dawn.  ​

1​

Bounded domain of Rm      Ω​

C∞ function defined in Ω     u, F​

u, F satisfy the next equation.​

F(D2u) = Ψ​

D2u is hessian matrix of u.​

F is C∞ function over Rm×m .​

Open set that includes range of D2u     U​

U satisfies the next.​

(i) Constant λ, Λ     ​

(ii) F is concave.​

2​

(Theorem)​

Sphere that has radius 2R in Ω       B2R​

Sphere that has same center with B2R and has radius σR in Ω      BσR​

Amplitude of D2u     ampD2u​

ampBσRD2u = supBσRD2u - infBσRD2u​

0<σ<1​

C and e are constant that is determined by dimension m and .​

ampBσRD2uCσe(ampBRD2u +  supB2R|D| + supB2R |D2| )​

​

​

[Impression]​

1 Meaning minimum is the smallest meaning unit of word. Refer to the reference #2 and 

#2'.​

2 If meaning minimum of word  is expressed by BσR, it has finite amplitude in adequate 

domain.​

​

​

[References 1 On meaning minimum]​

#1 Holomorphic Meaning Theory / 10th for KARCEVSKIJ Sergej​

#2 Word and Meaning Minimum​

#2' From Cell to Manifold​

#3 Geometry of Word​

​

[References 2 On generation of word]​

#4 Growth of Word​

#5 Generation Theorem​

#6 Deep Fissure between Word and Sentence​

#7 Tomita's Fundamental Theorem​

#8 Borchers' Theorem​

#9 Finiteness in Infinity on Language​

#10 Properly Infinite​

#11 Purely Infinite​

​

[References 3 on distance and mirror on word]​

#12 Distance Theory / Tokyo May 5, 2004 / Sekian Linguistic Field​

#13 Quantification of Quantum / Tokyo May 29, 2004 / Sekinan Linguistic Field​

#14 Mirror Theory / Tokyo June 5, 2004 / Sekinan Linguistic Field​

#15 Mirror Language / Tokyo June 10, 2004 / Sekinan Linguistic Field​

#16 Reversion Theory / Tokyo September 27, 2004 / Sekinan Linguistic Field​

#17 Mirror Theory Group / Tokyo December 9, 2008 / Sekinan Linguistic Field​

​

To be continued​

Tokyo December 17, 2008​

Sekinan Research Field of language​

​

[References 4 / December 23, 2008 / on time of word]​

#18 Time of Word / Tokyo December 23, 2008 / sekinan.wiki.zoho.com​

​