Wednesday, 24 December 2014

Duality of Language, Relation between Dimension and Boundary / 25 May 2012

Duality of Language

q.v. Dual Language. Zoho Paper 3. SIL


TANAKA Akio



1. Theorem(Poincaré duality)
For oriented compact n-dimension topological manifold M,
biliear form

is exact,
 and  become dual space each other.

2. Interpretation
Word := MBoundary of language := pDual language :=  and Language := 

3. Explanation
Word is compact and has dimension.
Language has dimension.
Language has boundary.
Boundary makes dual language.
4. References
Distance Theory
Mirror Theory
Guarantee of Language
Tokyo
25 May 2012
SRFLZoho

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