Saturday, 4 July 2026
Hills West Archive Repository Site of SRFL/ 2024
Hills West Archive
Repository Site of SRFL - From Letter to Theory
4 February 2024
4 February is the first day of spring, Old lunar calendar in Japan
4 July 2026
Tokyo
Sekinan Library
Sunday, 28 June 2026
Paper 2003-2007 1-192 / ENSILA Energy 2023
Paper 2003-2007 1-192
- Symmetry Flow Language 2 Time Shift of Meaning in Moduli Space 7th for KARCEVSKIJ Sergej
- Symmetry Flow Language 2 Boundary, Deformation and Torus as Language
- Symmetry Flow Language 2 Contents
- Symmetry Flow Language Meaning Variation and Time Shift in Word as Homotopy For WANG Guowei and KARCEVSKIJ Sergej
- Symmetry Flow Language Simplex, Simplicial Complex and Polyhedron
- Symmetry Flow Language Homology on Language
- Symmetry Flow Language Riemannian Metric, Flow and Entropy
- Symmetry Flow Language Premise for Symmetry Flow in Language
- Symmetry Flow Language Contents
- Language and Spacetime Time Flow in Word For KOHARI Akihiro and His Time
- Language and Spacetime Stability of Language
- Language and Spacetime Construction of Spacetime Especially on Transformation with Boundary for Dimensions
- Language and Spacetime Shift of Time From SAPIR Edward to KAWAMATA Yujiro
- Language and Spacetime Description of Meaning 6th Time For KARCEVSKIJ Sergej
- Language and Spacetime Generation of Sentence For WANG Guowei and CELAN Paul
- Language and Spacetime Structure of Word From KARCEVSKIJ to MACLANE
- Language and Spacetime Word Containing Time and 4 Dimensional Sphere Dedicated to MAC LANE Saunders
- Language and Spacetime Language Definition for the Child who Lost the World
- Language and Spacetime Contents
- Escalator Language Theory Closed String, Worldsheet and Worldvolume on Escalator Language Theory
- Escalator Language Theory Supplement to Spacetime Symmetry and Escalator Brane For CALVINO Itaro
- Escalator Language Theory Spacetime Symmetry and Escalator Brane
- Escalator Language Theory Escalator Membrane
- Escalator Language Theory Time Symmetry Conjecture For GANTSCHEV Ivan THE CHRISTMAS TRAIN
- Escalator Language Theory Escalator Language and Time For SHINRAN’s Idea of BOHDISATTVA
- Escalator Language Theory Contents
- Aurora Time Theory Opened Time and Closed Time For WANG Guowei and DELBRÜCK Max
- Aurora Time Theory Opened Time and Closed Time For WANG Guowei and DELBRÜCK Max
- Aurora Time Theory Enlarged Distance Theory For CELAN Paul
- Aurora Time Theory Imaginary Time and Imaginary Space From HAWKING Stephen
- Aurora Time Theory Time on Aurora
- Aurora Time Theory Contents
- Aurora Theory Why Human Time Flows Fast and Slow on Occasion <Interlude for Multi-Time Conjecture>
- Aurora Theory Distance and Time <Language Multi-Time Conjecture 3> 5th Time for KARCEVSKIJ
- Aurora Theory Dictoron and Time
- Aurora Theory Aurora Plane <Language emerges aurora in Riemann sphere.> For Mother
- Aurora Theory Limitation of Meaning
- Aurora Theory Dictoron, Time and Symmetry <Language Multi-Time Conjecture>
- Aurora Theory Aurora and Riemann Sphere For MASON L. J.
- Aurora Theory Dictoron as Language Quantum
- Aurora Theory Aurora and Curvature
- Aurora Theory Dictoron and Aurora <Language is aurora dancing above us.> For SAEKI Shizuto
- Aurora Theory Dictoron <Quantum and Trace> For FINKELSTEIN David
- Aurora Theory Contents
- Supersurface and Language Nested Cube, Nested Torus and Cut-Tube-Ring -Toward Homology Group-
- Supersurface and Language Supersurface, String and Knot including Longitude and Time -Toward Moduli Space-
- Supersurface and Language Contents
- Tube-Ring Theory Clockwise Language and Anticlockwise Language On Linguistic Universals
- Tube-Ring Theory True and False Hierarchy of Language For CHINO Eiichi and Prague
- Tube-Ring Theory Freedom and String Structures of Multi Dimensional Spaces
- Tube-Ring Theory Imaginary Language Minus Dimensional Cut-Tube-Ring
- Tube-Ring Theory Cut and Glue
- Tube-Ring Theory Premise of Tube-Ring Theory Advance of Dimension Conducted by KARCEVSKIJ
- Tube-Ring Theory Contents
- Topological Semantics From Lattice to Necklace
- Topological Semantics Breaking Symmetry of Language For TARSKI
- Topological Semantics Torus Chain For MAC LANE Saunders
- Topological Semantics Lineation, Rectangle and Universality
- Topological Semantics Definition
- Pre-Topological Semantics Nested Torus Theory – Plane Pillar Torus – For PONTLYAGIN Lev Semenovich
- Topological Semantics Contents
- Quantum Semantics Super Fluidity
- Quantum Semantics Fiber Bundle on Language
- Quantum Semantics Topological Tolerance For MILNOR J.W.
- Quantum Semantics Topological Entangled Language For KITAEV Alexei Yu
- Quantum Semantics Gauss’ plane
- Quantum Semantics Lineation Lattice Plane Pillar
- Quantum Semantics Proclamation of Quantum Semantics
- Quantum Semantics Lattice
- Quantum Semantics Contents
- Quantum Language Frame and Transmission For Quantum Language Machine 3
- Quantum Language Substantiality of Language For the Memory of Encounter with CHINO Eiichi nearly thirty years ago
- Quantum Language Contents
- Quantum Linguistics Creation of Meaning Toward Realization of Quantum Language Machine 2
- Quantum Linguistics Nature of Quantum Toward Realization of Quantum Language Machine
- Quantum Linguistics Growth of Word Dedicated to TAKEUCHI Gaishi
- Quantum Linguistics Method of Quantum Linguistics
- Quantum Linguistics Quantum Language Machine For the Forth Time to KARCEVSKIJ
- Quantum Linguistics Intention and Sentence
- Quantum Linguistics Solidity and Flexibility
- Quantum Linguistics Contents
- Obi Theory Birth Again for PONTLYAGIN L. S.
- Obi Theory Whirl
- Obi Theory Meaning
- Obi Theory Time
- Obi Theory Universe
- Obi Theory Obi Language
- Obi Theory Contents
- For Authentication of Solidity
- Solid Trace Theory Superlattice
- Solid Trace Theory Solid Trace Language
- Solid Trace Theory Solid Trace
- Solid Trace Theory Contents
- Quantum Warp Theory Folding
- Quantum Warp Theory Dualism Thrice for KARCEVSKIJ
- Quantum Warp Theory Warp
- Quantum Warp Theory Contents
- Double Linear Theory Double Linear Language
- Double Linear Language Contents
- Cube Theory Cube Word
- Read more: https://srfl-paper.webnode.com/paper-2003-2007/
- Cube Theory Cube Language
- Cube Theory Cube Language
- Cube Theory Structure of Cube
- Cube Theory Dimension
- Cube Theory Contents
- Duplicability Theory Literalness
- Duplicability Theory Antiworld
- Duplicability Theory Duplicability
- Duplicability Theory Contents
- Frame-Sentence Language Association
- Frame-Sentence Language Association
- Frame-Sentence Language Comparison
- Frame-Sentence Language Intention
- Frame-Sentence Language Sentence Theoretical Criterion
- Frame-Sentence Language Boundary
- Frame-Sentence Language Contents
- Reversionary Group Theory Inverse Element
- Reversionary Group Theory Associative Law
- Reversionary Group Theory Supposition
- Frame-Sentence Language Association
- Frame-Sentence Language Comparison
- Frame-Sentence Language Intention
- Frame-Sentence Language Sentence Theoretical Criterion
- Frame-Sentence Language Boundary
- Reversionary Group Theory Inverse Element
- Reversionary Group Theory Associative Law
- Reversionary Group Theory Supposition
- Robot Language Selectionem Terminology in Robot Language
- Robot Language Selectionem Inference and Will
- Robot Language Selectionem Selection
- Robot Language Sorting
- Robot Language Sentence Confirmation for Formulation
- Robot Language Robot
- Robot Language Diversification
- Robot Language Premise
- For Authentication of Solidity
- Set Theory 4
- Set Theory 3 -On Frame Quantum Language-
- Set Theory 2
- Set Theory
- Note Recognition
- Note Reflection
- Note For Semantics
- Frame-Quantum-Time Theory 4 -Set Theory-
- Frame-Quantum-Time Theory 3 -For Karcevskij Again-
- Frame-Quantum-Time Theory 2
- Frame-Quantum-Time Theory
- Subdivision
- Growth
- Vector
- Automaton
- Receptionist
- System
- Lineation
- Descriptiveness
- Premise for Frame-Quantum Theory
- Aim for Frame-Quantum Theory
- Frame-Quantum Theory Addendum
- Frame-Quantum Theory
- Warp Theory
- Prague Theory 3
- Prague Theory 2
- Prague Theory
- Time Theory
- Vector
- Automaton
- System
- Lineation For CHOMSKY Noam
- Descriptiveness
- Conversation
- Ideogram
- Recognition
- Frame
- Substantiality To SAPIR Edward
- Grammar To CHINO Eiichi
- Fixation
- Time For KARCEVSKIJ
- Individuality
- Changeability To SAPIR and KARCEVSKIJ
- Uniformity For SAUSSURE Ferdinand
- Direction For KARCEVSKIJ Sergej
- Actual Language and Imaginary Language To LÉVI-STRAUSS Claude
- Guarantee of Language For LÉVI-STRAUSS Claude
- Mirror Language
- Mirror Theory For the Structure of Prayer
- Reversion Theory
- Quantum Theory for Language
- Prague Theory Dedicated to KARCEVSKIJ, PRAGUE and CHINO
- Distance Theory
- On Time Property Inherent in Characters
- Manuscript of Quantum Theory for Language 2003-2019 Newly revised edition
TANAKA Akio
28 June 2026
Sekinan Library
Tokyo
Sunday, 21 June 2026
Prague Theory Prague Theory 2 About Language Machine 2004
309
Prague Theory 2
About Language Machine
1
Language machine is assumed to a device of automatic generating language.
2
In this phase, <automatic> means the orderly arranged output against random occurred input.
3
The relationship between input and output is obeyed by a digitized quantified logic.
4
The logic is in accord with the principles and rules on <Quantum Theory for Language>.
5
In the machine, automatism contains the generation of linking language usually called copula.
6
For example, [ I ] and [ student ] is inputted, the output is [[ I am student]]. In the output, [[ am ]] is newly generated in the language machine.
Mark [ is a sign of input starting.
Mark ] is a sign of input ending.
Mark [[ is a sign of output starting.
Mark ]] is a sign of output ending.
7
Now [I], [student] and [March] are inputted, the output becomes [[I will be student in March]].
In this situation, [will be] and [in] are newly generated.
8
<Time principle of quantum> is the most radical theory for <Prague Theory>.
The principle is abbreviated to TPQ.
9
<Reversion principle of quantum> is contributed to <Guarantee of Language>.
The principle is abbreviated to RPQ.
10
TPQ and RPQ contain the longitude of time.
11
The time of TPQ is classified to the static one.
It is a width of the time on body clock of the quantum.
The time of RTQ is classified to the dynamic one.
It is a progress of the time on outer quantum.
12
Newly generated parts of language are linking language of different floor of <Quantum Theory for Language>.
Each floor has an orbit of quanta.
13
For example, in [[I am student]], [[I]] and [[student]] are placed to the different floors.
Two floors are linked by the copula [[am]].
14
The selection of suitable copula is operated by the inner information of each quantum and combination of two or over two quanta on the orbit.
Tokyo October 17, 2004
Energy Distance Theory Note 4 Finsler Manifold and Distance 2008
Note 4
Finsler Manifold and Distance
1
Banach space E
Ck manifold M
Point of M p
Banach space TxM
Norm of TxM || ||x
Finsler metric is defined by the next.
(i) Topology by || ||x is equal to topology by norm of Banach space.
(ii) Tangent vector bundle T (M)
Point p∈M
Coordinate neighborhood of p (Uα, α), α : Uα→E
Ψα : Uα×E → π-1(Uα) ⊂T (M)
||| v |||x : = ||Ψα (x, v)||x , x∈Uα , v∈E
C > 0
1/C ||| v |||p ≤ ||| v |||x ≤C ||| v |||p , x∈Uα , v∈E
2
Banach manifold M that has Finsler metric Finsler manifold M
Longitude of M L (σ) : = ∫ba ||σ’(t)||dt
p, q∈M
Distance ρ ( p, q ) : = inf { L (σ) }
Distance space ( M, ρ )
When ( M, ρ ) is complete distance space, Finsler manifold is called complete.
3
Finsler Ck manifold M
Ck function over M f : M → R
Condition (C) is defined by the next.
(i) Subset of M S
f is boundary over S.
infS ||df || = 0
Closure of S S-
df = 0 at point p of S-
4
Complete Finsler C2 manifold M
Ck class function f : M → R satisfies condition ( C ).
Theorem
Connected component of M M0
When f is boundary from below, f has minimum value at M0.
5
1 > m/p , m = dim M
Banach space L1,p ( M, RN )
C∞ manifold L1,p ( M, N )
Distance of L1,p ( M, RN ) ρ0
ρ0 ( u, v ) = || u – v ||1,p , u, v ∈ L1,p ( M, RN )
Proposition
Finsler manifold (L1,p ( M, N ) , || ||1,p ) is complete.
[Note]
Word is expressed by closed manifold in Banach space.
Distance is expressed by Finsler metric.
[References]
To be continued
Tokyo November 7, 2008
Postscript
[Reference November 30, 2008]
[Reference November 30, 2008]
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