Functional Analysis
Conjecture 2
Distance at Hypersurface
TANAKA Akio
1 Distance of language is defined by distance between hypersurface and origin 0.
2 Hypersurface and origin are defined by linear space and linear functional.
3 When language is defined by normed space, sentence is defined by closed linear subspace and word is defined by linear subspace and finite dimensional, new sentence is generated as closed linear subspace.
[References]
<Distance> Distance Theory, Reversion Theory
<Hypersurface and origin> Functional Analysis / Note 4 Functional / 3 Distance of Hypersurface / Tokyo May 23, 2008
<Language, sentence and word> Functional Analysis / Note 4 Functional / 5 Closed linear subspace / Tokyo May 23. 2008
Tokyo May 24, 2008
Sekinan Research Field of Language
www.sekinan.org
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