Complex Manifold Deformation Theory
Conjecture B
2 Understandability of Language
TANAKA Akio
Conjecture
Language is understandable.
[View]
0
(Eells-Sampson Theorem)
Compact Riemannian manifolds (M, g), (N, h)
Section curvature of (N, h) everywhere non-positive
Arbitrary C∞ map f : M → N
Equation
Solution of the equation exists at
.
When there exists
,
is convergent to harmonic map
and
is free
homotopic with
.
1
(Harmonic map)
Arbitrary variation of
{
}
2
(Section of
)
3
(Levi-Civita connection)
Levi-Civita connection of (M, g) and (N, h)
[Impression]
1
From Eells-Sampson Theorem, if language is supposed to be expressed by the equation and
word is supposed to be expressed by
, language is understandable in finite time.The
situation contributes guarantee of language.
2
In infinite time, Language still can be understood by word's generation system
.
[References]
For impression, refer to the next.
<Understandability of language>
#1 Finiteness in Infinity of Language / Kac-Moody Lie Algebra / Conjecture 1 / Tokyo
February 10, 2008
#2 Properly Infinite / von Neumann Algebra 3 / Note 1 / Tokyo May 1, 2008
#3 Purely Infinite / von Neumann Algebra 3 / Note 2 / Tokyo May 1, 2008
<Guarantee of language>
#4 Guarantee of Language / Tokyo June 12, 2004
<Generation system>
#5 Generation Theorem /von Neumann Algebra 2 / Note / Tokyo April 20, 2008
Tokyo January 9, 2009
Sekinan Research Field of language
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