The Days of von Neumann Algebra
The cited papers’ texts are shown at Blogger site, SRFL News.
1.
My study’s turning point from intuitive essay to mathematical writing was at the days of learning von Neumann Algebra, that was written by four parts from von Neumann Algebra 1 to von Neumann Algebra 4. The days are about between 2006 and 2008, when I was thinking about switching over from intuitive to algebraic writing. The remarkable results of writing these papers were what the relation between infinity and finiteness in language could be clearly described. Two papers of von Neumann 2, Property Infinite and Purely Infinite, were the trial to the hard theme of infinity in language.
The contents’ titles are the following.
My study’s turning point from intuitive essay to mathematical writing was at the days of learning von Neumann Algebra, that was written by four parts from von Neumann Algebra 1 to von Neumann Algebra 4. The days are about between 2006 and 2008, when I was thinking about switching over from intuitive to algebraic writing. The remarkable results of writing these papers were what the relation between infinity and finiteness in language could be clearly described. Two papers of von Neumann 2, Property Infinite and Purely Infinite, were the trial to the hard theme of infinity in language.
The contents’ titles are the following.
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- von Neumann Algebra
Assistant Site : sekinanlogos
TANAKA Akio
TANAKA Akio
On Infinity of Language
1 von Neumann Algebra 1
2 von Neumann Algebra 2
3 von Neumann Algebra 3
4 von Neumann Algebra 4
1 von Neumann Algebra 1
2 von Neumann Algebra 2
3 von Neumann Algebra 3
4 von Neumann Algebra 4
- References
1 Algebraic Linguistics
2 Distance Theory Algebraically Supplemented
3 Noncommutative Distance Theory
4 Clifford Algebra
5 Kac-Moody Lie Algebra
6 Operator Algebra.
2 Distance Theory Algebraically Supplemented
3 Noncommutative Distance Theory
4 Clifford Algebra
5 Kac-Moody Lie Algebra
6 Operator Algebra.
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2.
The papers of von Neumann Algebra and References are the next.
The papers of von Neumann Algebra and References are the next.
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- von Neumann Algebra
1 1 Measure
2 Tensor Product
3 Compact Operator
2 Tensor Product
3 Compact Operator
- von Neumann Algebra 2
1 Generation Theorem
- von Neumann Algebra 3
1 Properly Infinite
2 Purely Infinite
2 Purely Infinite
- von Neumann Algebra 4
1 Tomita’s Fundamental Theorem
2 Borchers’ Theorem
2 Borchers’ Theorem
- Algebraic Linguistics
On language universals, group theory is considered to be hopeful by its conciseness of expression. Especially the way from commutative ring to scheme theory is helpful to resolve the problems a step or two.
1 Linguistic Premise
2 Linguistic Note
3 Linguistic Conjecture
4 Linguistic Focus
5 Linguistic Result
1 Linguistic Premise
2 Linguistic Note
3 Linguistic Conjecture
4 Linguistic Focus
5 Linguistic Result
- Distance Theory Algebraically Supplemented
Algebraic Note
1 Ring
2 Polydisk
3 Homology Group
4 Algebraic cycle
Preparatory Consideration
1 Distance
2 Space <9th For KARCEVSKIJ Sergej>
3 PointBrane
Simplified Model
1 Bend
2 Distance
3 S3 and Hoph Map
1 Ring
2 Polydisk
3 Homology Group
4 Algebraic cycle
Preparatory Consideration
1 Distance
2 Space <9th For KARCEVSKIJ Sergej>
3 PointBrane
Simplified Model
1 Bend
2 Distance
3 S3 and Hoph Map
- Noncommutative Distance Theory
Note
1 Groupoid
2 C*-Algebra
3 Point Space
4 Atiyah’s Axiomatic System
5 Kontsevich Invariant[References]
Conjecture and Result
1 Sentence versus Word
2 Deep Fissure between Word and Sentence
1 Groupoid
2 C*-Algebra
3 Point Space
4 Atiyah’s Axiomatic System
5 Kontsevich Invariant[References]
Conjecture and Result
1 Sentence versus Word
2 Deep Fissure between Word and Sentence
- Clifford Algebra
Note
1 From Super Space to Quantization
2 Anti-automorphism
3 Anti-self-dual Form
4 Dirac Operator
5 TOMONAGA’s Super Multi-time Theory
6 Periodicity
7 Creation Operator and Annihilation Operator
Conjecture
1 Meaning Product
1 From Super Space to Quantization
2 Anti-automorphism
3 Anti-self-dual Form
4 Dirac Operator
5 TOMONAGA’s Super Multi-time Theory
6 Periodicity
7 Creation Operator and Annihilation Operator
Conjecture
1 Meaning Product
- Kac-Moody Lie Algebra
Note
1 Kac-Moody Lie Algebra
2 Quantum Group
Conjecture
1 Finiteness in Infinity on Language
1 Kac-Moody Lie Algebra
2 Quantum Group
Conjecture
1 Finiteness in Infinity on Language
- Operator Algebra
Note
1 Differential Operator and Symbol
3 Self-adjoint and Symmetry
4 Frame Operator
Conjecture
1 Order of Word
2 Grammar
3 Recognition
…………………………………………………………………………………………………………
1 Differential Operator and Symbol
3 Self-adjoint and Symmetry
4 Frame Operator
Conjecture
1 Order of Word
2 Grammar
3 Recognition
…………………………………………………………………………………………………………
3.
After writing von Neumann Algebra 1 – 4, I successively wrote the next.
After writing von Neumann Algebra 1 – 4, I successively wrote the next.
- Functional Analysis
- Reversion Analysis Theory
- Holomorphic Meaning Theory
- Stochastic Meaning Theory
Especially Stochastic Meaning Theory clearly showed me the relationship between mathematics and physics, for example Brownian motion in language. After this theory I really entered the algebraic geometrical writing by Complex manifold deformation Theory. The papers are shown at Zoho site’s sekinanlogos.
…………………………………………………………………………………………………………
- Distance of Word
- Reflection of Word
- Uniqueness of Word
- Amplitude of Meaning Minimum
- Time of Word
- Orbit of Word
- Understandability of Language
- Boundary of Words
- Symplectic Topological Existence Theorem
- Gromov-Witten Invariantational Curve
- Mirror Symmetry Conjecture on Rational Curve
- Isomorphism of Map Sequence
- Homological Mirror Symmetry Conjecture by KONTSEVICH
- Structure of Meaning
- Potential of Language
- Supersymmetric Harmonic Oscillator
- Grothendieck Group
- Reversibility of language
- Homology Generation of Language
- Homology Structure of word
- Quantization of Language
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4.
The learning from von Neumann Algebra 1 ended for a while at Floer Homology Language, where I first got trial papers on language’s quantisation or discreteness. The next step was a little apart from von Neumann algebra or one more development of algebra viz. arithmetic geometry.
The learning from von Neumann Algebra 1 ended for a while at Floer Homology Language, where I first got trial papers on language’s quantisation or discreteness. The next step was a little apart from von Neumann algebra or one more development of algebra viz. arithmetic geometry.
# Here ends the paper.
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