Conjecture A
4 Amplitude of Meaning Minimum
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
.
ampBσRD2u
Cσe(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
[References 4 / December 23, 2008 / on time of word]
#18
Time of Word / Tokyo December 23, 2008 / sekinan.wiki.zoho.com
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