Symmetry Flow Language 2 Time Shift of Meaning in Moduli Space 7th for KARCEVSKIJ Sergej
Symmetry Flow Language 2 Time Shift of Meaning in Moduli Space 7th for KARCEVSKIJ Sergej TANAKA Akio 1 Word has variation of meaning in accordance with time shift in space. Refer to the following papers. Language and...
Symmetry Flow Language 2 Boundary, Deformation and Torus as Language
Symmetry Flow Language 2 Boundary, Deformation and Torus as Language TANAKA Akio 1 Boundary and domain is defined by the following. Sequence that consists of Abelian group {cn} and homomorphism {∂n} is presented. Sequence satisfies ∂no∂n+1 = 0 ∂n is...
Symmetry Flow Language 2 Contents
Symmetry Flow Language 2 On Symmetry of Language and Time 2 1 Boundary, Deformation and Torus as Language 2 Time Shift of Meaning in Moduli Space
Symmetry Flow Language Meaning Variation and Time Shift in Word as Homotopy For WANG Guowei and KARCEVSKIJ Sergej
Symmetry Flow Language Meaning Variation and Time Shift in Word as Homotopy For WANG Guowei and KARCEVSKIJ Sergej TANAKA Akio 1< Meaning> in word is given by homotopy. 2< Time> in word is given by continuous map of...
Symmetry Flow Language Simplex, Simplicial Complex and Polyhedron
Symmetry Flow Language Simplex, Simplicial Complex and Polyhedron TANAKA Akio 1 Language is given by homology group in topological space. Homology group is given by module’s chain complex. {Ck}k=0n, {∂k } k=1n Ck is module. ∂k: Ck → Ck—1...
Symmetry Flow Language Homology on Language
Symmetry Flow Language Homology on Language TANAKA Akio 1 Word is expressed by surface Σ. 2 Word has meaning of starting point, meaning of ending point and time of shift. 3 In surface Σ, oriented closed curve γ and γ’ is presented. Meaning of...
Symmetry Flow Language Riemannian Metric, Flow and Entropy
Symmetry Flow Language Riemannian Metric, Flow and Entropy TANAKA Akio 1 In symmetry flow language abbreviated to SFL, Riemannian metric g is presented. By NASH John’s proof, Riemannian manifold M has isometric embedding i to higher dimensional Euclidean space RN. i : M → RN 2...
Symmetry Flow Language Premise for Symmetry Flow in Language
Symmetry Flow Language Premise for Symmetry Flow in Language TANAKA Akio 1 On Boltzmann’s principle, entropy S is expressed by the following. S = kBlogW kB is Boltzmann constant. W is thermodynamic weight. On Newton dynamics, W is expressed...
Symmetry Flow Language Contents
Symmetry Flow Language On Symmetry of Language and Time 1 Premise for Symmetry Flow in Language 2 Riemannian Metric, Flow and Entropy 3 Leaf of Language <For DELUEZE Gilles Pourparlers> 4 Homology on Language 5 Simplex, Simplicial Complex and Polyhedron 6 Meaning...
Language and Spacetime Time Flow in Word For KOHARI Akihiro and His Time
Language and Spacetime Time Flow in Word For KOHARI Akihiro and His Time TANAKA Akio 1 Word is expressed by phase space in the situation on dynamical system. Phase space M has a point x. Continuous time t is expressed by group R that consists of real...
Read more: http://srfl-paper.webnode.com/paper-2003-2007/
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