Friday, 29 March 2013

Language Manifold Theory Preliminary Note 1 Moser's Theorem

Language Manifold Theory




Preliminary Note 1
Moser's Theorem


[Theorem]
(Moser)
Sympletic manifold    (M, w)
Family of (M, w)     (M, wt)
     [wt]H2(M, R)
      φt : M M
There exists the family ( φ*twt = w0).

[Note]
(Sympletic manifold)
Cclass manifold     M
Differential 2-form     w
Dimension of M     2n
dw = 0
wn ≠ 0

[Impression]
Word is supposed to be the manifold that is defined by Moser' Theorem.
According to him, word is sketched to be the situation that is no boundary and compact.
The situation is come closer to the possible phase of word.

[Reference]
# Quantum Theory for Language / Tokyo January 15, 2004 / sekinan.org

To be continued
Tokyo January 10, 2009

Sekinan Research Field of language


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