Language Universal Models 2013

 

Language Universal Models

SRFL 1. Repeated Integral Model 1.1 Hyperbolic volume / Volume of Language 1.2 Hyperbolic space / Hyperbolic Space Language 2. Minimal Model 2.1 Free group / Notes for KARVESKIJ Sergej, "Dusualisme asymétrique du signe linguistique"　  2.2 Fundamental group / Description of Language 2.3 de Rham complex / Structure of Word 2.4 de Rham complex on spherical surface / Condition of Meaning 3. Knot Theory Model 3.1 Hida deformation space / Loop Time f Character 4. Jones-Witten Theory Model 4.1 Witten invariant / Symmetry of Language 5. Moduli Model 5.1 Projective algebraic manifold / Completion of Language 5.2 Projective algebraic manifold / Meaning Minimum of Language 6. Arithmetic Geometry Model 6.1 Riemann-Roch Formula / Language, Word, Distance, Meaning and Meaning Minimum 7. Projective Space Model 7.1 Grothendieck theorem / Vector Bundle Model 8. Diophantine Approximation Model-Diophantine Language 8.1 Faltings theorem / Finiteness of Words 8.2 Noguchi, Winkelmann theorem / Dimension of Word Appendix　 Bibliography TANAKA Akio Tokyo 29 January 2025 SRFL Hills