Friday, 25 April 2025

Functional Analysis Conjecture 2 Distance at Hypersurface

 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 TheoryReversion 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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