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TABLE at Sekinan Table 2018

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Imaginary Language Hyperbolic Space Language 2011

Imaginary Language
Hyperbolic Space Language
TANAKA Akio
September 5, 2011
[Preparation]
3 dimensional hyperbolic space H3
Spherical surface at infinity Sx
Ideal simplex that has vertexes on Sx Σ
Internal angles of triangle that is projected to plane z = 0
Internal angles of ideal simplex α, β,γ
Internal angles except α, β,γ α1, β1,γ1
Volume of ideal simplex V
<Theorem>
V (Σ) = Λ(α) +Λ(β)+Λ(γ)
[Interpretation]
Language model is expressed by V (Σ).
Word is expressed by Σ.

This paper has been published by Sekinan Resarch Field of Language.
All rights reserved.

© 2011 by The Sekinan Research Field of Language 

Imaginary Language Volume of Language 2011

Volume of LanguageTANAKA AkioSeptember 4, 2011
[Preparation]
Volume of orthogonal hyperbolic simplex V(Σ(α, β, γ))
Schläfli function S(α,β,γ)
<Theorem>
V(Σ(α, β, γ)) = 
[Interpretation]
Language model is made by hyperbolic simplex.
Language model contains imaginary part.
This paper has been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by 
The Sekinan Research Field of langauge 

Stabe and Unstable of Language For the Supposition of KARCEVSKIJ Sergej 2011

Stabe and Unstable of Language
For the Supposition of KARCEVSKIJ Sergej

The papers on thise site have been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by 
The Sekinan Research Field of Language

Time of WANG Guowei 2011

Time of WANG Guowei
The papers on this site have been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by 
The Sekinan Research Field of Language

Notes for KARCEVSKIJ Sergej 2011

Notes for KARCEVSKIJ Sergej
The papers on this site have been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by 
The Sekinan Research Field of Language