Tuesday 27 November 2018

What is signal? A mathematical model of nerve With chapter title 27 November 2018

What is signal?

A mathematical model of nerve

For father and mother

TANAKA Akio

Tokyo
21 November 2018-27 November 2018


0.

This short paper would finally write on signal through the relation between language and nerve, for which using mathematical method at the way.
This paper's one of kernels is energy which is naturally accepted at the side of verve, but at the side of language, it may be not accepted widely till now.
In this paper, I probably do not refer to the language's energy, that has been written several times in the papers before.
If necessary refer to the next essays.

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The days when I was thinking on Energy Distance Theory   2008

Around 2008, I was thinking on energy in language related with distance in language. Distance is one of the kernel themes of my study of language universals in those days. In simply saying, distance is the result of movement and for movement there must inevitably needs energy. So I had thought that if language have distance, there must be energy or its alike in language that is supposed in mathematical models. But in my ability in 2008, I could not develop the deep and wide range of language from the theme, energy and distance. So Energy Distance Theory was still now unfinished.


Read morehttps://geometrization-language.webnode.com/news/the-days-when-i-was-thinking-on-energy-distance-theory/?


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Energy of language   2015


1. Language

Next definition for language shows my simple image to language and energy.


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Language and Spacetime 

Language
Definition for the Child who Lost the World 


0 The world spreads around the human being.
1 Language divides the world.
2 Language connects the world.
3 Language bends the world.
4 Language stretches the world.
5 Language shrinks the world.
6 Language extinguishes the world.
7 Language creates the world.
8 Language gives despair.
9 Language gives hope.
10 Language is pasting on spacetime with energy.
Postscript
[Referential note / November 29, 2007]
For Authentication of Solidity 
[Definition added / November 3, 2008]
Definition 10, the part of <with energy> is newly added.
Tokyo March 3, 2007
Tokyo November 3, 2008 Added


Read more: https://srfl-lab.webnode.com/news/language-definition-for-the-child-who-lost-the-world/



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2. Human sense

On language and human sense, I ever wrote simply at the next paper.


Macro Time and Micro time

TANAKA Akio
24 July 2013
atbankofdam



1. Through natural language, in human being, occurred the electrical signal by eye or ear. These complex situations are beyond this paper’s limits.
2. Language is a physical object as signal and its transmission. At this circumstances, language must be recognised to be the existence that has finite time.
3. An apple on the desk gradually becomes rotten by passing the time very after the crop in the orchard. #0
4. Like an apple, language has passing physical time in oneself.
5. Language is metamorphosed  by the time progressing.  #1
6. Language includes the outer world from human being to universe. At this declaration, I recall Blaise Pascal’s Pensées. XXXIII. PROOFS OF JESUS CHRIST 308 The infinite distance between body and mind symbolizes the infinitely more infinite distance between mind and charity, for charity is supernatural.(Translated by A.J. Krailsheimer, 1966) #2
7. Language’s time goes freely from the present to the future or the present to the past. #3
8. Language symbolises the time from finiteness to infinity. #4
9. Human being recognises this vast language world perfectly. #5

References
#0 For WITTGENSTEIN Ludwig Position of Language / December 10, 2005 – August 3, 2012 / Sekinan Research Field of Language
#1 Time of Word / Complex Manifold Deformation Theory / January 1, 2009 / sekinanlogos
#2 PASCAL PENSÉES. Translated with an introduction by A.J. Krailsheimer. PENGUIN BOOKS 1966.
#3 Escalator language and Time For SHINRAN’s Idea and BOHDISATTVA / Escalator Language Theory / December 16, 2006 / Sekinan Research Field of Language
#4 From Finiteness to Infinity on Language / Topological Group Theory / February 1, 2009 / sekinanlogos
#5 Understandability of Language / Complex Manifold Deformation Theory /January 9, 2009 / sekinanlogos


Read more: https://srfl-lab.webnode.com/news/macro-time-and-micro-time/


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3. Signal

Signal Goes to meaning.
Traffic signal shows Go, Attention and Stop to people by three colour lights
Morse code sends a message by short and long signals.
Signal has structure that resembles language.
Morse code can regards as a written language.
What is signal's peculiarity?
It depends on signal's generation that has simple on-off phenomenon.
This phenomenon combines with the other on-off phenomena and become complex structure that has meaning like language.
Signal seems a primordial form of language.


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4. Nerve

Is nerve signal?
I have any knowledge on physiological nerve.
So at this paper I prepare a mathematical model of nerve comparative with signals.
At mathematical model, on-off system is not simply fit with the expression of mathematical space.
Here on-off system is arranged for more simple form.
I ever wrote a paper below.

Manuscript of Quantum Theory for Language   2003

The paper is a very intuitive one but there are some hints on signal.
Now I need one chapter for my new trial paper.
The chapter is " 6. Basic principle of quantum theory"
The original text is the following.

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6 量子理論の基本原理
 量子理論は、伝統的には実辞とされる陽性量子が1階層で進行することが基本である。したがってある種の量子群すなわち文において、陰性量子が冒頭に立つときには、その前に陽性量子または量子群が省略されたと考えることができる。
陰性量子が陽性量子の進行方向に変化を与えて、新しい階層に移行させることは、陰性量子が受けている被圧迫エネルギーによるとしたが、より正確には、以下のように説明できる。
一般に断定の虚辞とされる「也」は、その実辞としての意味は現代においては不分明であり、陽性量子としてはほぼ消滅したと考えることができる。その代わりに陰性量子としての虚辞機能が台頭して現在に至るが、その機能を細分すれば、断定、主題提示、呼びかけ、詠嘆、疑問、反語等の極めて多様である。
たとえば、「回也不愚」(『論語』為政篇)においては、「回」という人物が、(階層が変わり)孔子の心中において、(また階層が変わり)否定される存在であり、(さらに階層が変わり)「おろかものの類」が提示される。」
「階層が変わる」ということは、「回」という人物が、「也」と出現によって実在の人物から、孔子の心中における考察対象へと変換されたことを意味し、さらにその考察対象が「不」によって抹消されることを意味し、さらに新しく「愚」という概念が登場することを意味する。
すなわち陰性量子は、陽性量子が有する言語世界への直接的な意味を行うのではなく、実辞としてはもはや空白となった自らの領域へ、陽性量子を導くjことによって、一種の真空無重力の状態を現前させ、その方位を転換することであると仮定する。その転換に必要とされるエネルギーは、領域が受けている被圧迫のエネルギーから生ずるものと仮定する。 

Read more: https://srfl-lab.webnode.com/products/manuscript-of-quantum-theory-for-language-with-preface-note-and-note-2-2003-2018/


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At this chapter, the most important concept is positive quantum and negative quantum.
Negative quantum changed to positive quantum by energy.
At the linear space, quantum changes positive to negative and also negative to positive.
By this model, on-off phenomena are mapped at the linear space's quanta's situation.
In the models, quantum is led from V.G.Drinfel'd and M.Jinbo's Quantum group originated in 1985.

Reference
JIMBO Michio. Quantum group and Yang-Baxter equation. Maruzen Shuppan. Tokyo. 2012


5. Method

Manuscript of Quantum Theory for Language written in spring 2003 was roughly designed at a days I was in  hospital by pneumonia half a month in October 2002, when I always saw the river and the mountains west end of Tokyo. I was the very  reviewing life time for my research work.
My poor study was restricted in a narrow field of Chinese classical linguistics mainly developed in the late Qing dynasty the latter half of the 19th century,represented by DUAN Yucai, WANG Niansun, WANG Yingzhi, my favourite WANG Guowei and so forth.
So I determined that my approach to language was only in it and it was the most intimate for me at that time and probably herein after considering my tiny accumulation of study.
Next essay shortly showed the situation in 2002.


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1970s' dream, writing clear description on language universals by mathematics
From The Days of Ideogram

​​​4. Time property in characters
In Autumn 2002 I got pneumonia and was hospitalized about 2 weeks, where I thought of 1970s' dream, writing clear description on language universals by mathematics. The theme was as hard as ever. So, at the bed I thought the basis of language from the side of Chinese character’s classical approach which had vast heritage till Qing dynasty. I directed my attention to the character's figure which had compound meanings containing time elements continuing from Yin dynasty's hieroglyphic characters left on bones and tortoise carapaces some 2400 years ago. I thought that Chinese characters had containing time and its structure could be written by geometric approach once I had abandoned for difficulty. After leaving hospital, I wrote a paper titled On Time Property Inherent in Characters*3-1.

Read more: http://srfl-paper.webnode.com/news/the-days-of-ideogram/


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6. Quantum group



This paper is unfinished.


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