Complex Manifold Deformation Theory Conjecture A 4 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