Thursday, 19 December 2019
An end of language model
From Autor;
I am now away from language model.
It is not my way to understanding language.
17 February 2025
Lang Model
1. Lang conjecture (S.Lang 1974)
Algebraic field F ( finite dimensional overfield over Q ) is defined over projective algebraic variety V.
For a certain embedding F -> C, V is seen that V is seen as complex projective algebraic variety.
If V is Kobayashi hyperbolic, V ( F ) is finite set.
2. Shafarevich conjecture ( I.Shafarevich 1963)
F is algebraic field.
OF is integer ring of F.
Finite subset
and integer
are fixed.
When the upper conditions are satisfied, g dimensional Abelian variety over F and genius g's algebraic curves that degenerate in only S at most only exist finite number. 3. Interpretation
3.1 Finiteness of words by Shafarevich conjecture
Language := F
Sentence := OF
Word := S
Word's dimension := g
Word's meaning := genius g's algebraic curves
3.2 Grammar (Connection of words) by Lang conjecture
Language := F
Grammar (Words' connection rule) := Kobayashi hyperbolicity
This paper's description is unfinished.
Tokyo
17 June 2012
Read more: https://srfl-paper.webnode.com/news/an-end-of-language-model-sekinanmodel-lang-model-2012/
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