Manuscript of Quantum Theory for Language with Preface, Note and Note 2 2003-2018. Translated by Google.
The "Quantum Theory of Language" shown below is a draft of the Quantum Theory for Language written in English, and was written at the Hakuba Alps Hotel in Hakuba, Nagano Prefecture in March 2003. This is the first time to announce. What I haven't published so far is that this draft was written in a hotel room with no material at all in a very short time, so its content is very intuitive and different from the usual discussion. Because it was quite radical for me. Moreover, the discussion ends halfway and remains unfinished. In the Quantum Theory for Language, which was written based on this draft for presentation at a symposium in December 2003, the purpose of the discussion is almost consistent, but the memory that made the expression more gentle is still clear. And remain. But now, when I read this draft back, the intuition and sharpness I was concerned about in 2003 was still deeply rooted in the essence of my linguistic theory, and it was almost a decade of mathematical linguistics. Looking back through the description, I have reaffirmed that some of the most important subjects I still have left to write are mostly those described in this draft. Quantization of language, appearance and disappearance of quantum, junction and hierarchy of quantum, quantum aggregate, progression and hierarchy of quantum group, positive quantum and negative quantum, meaning and energy of quantum. Both remain unknown and fascinating to me. In the future, I will return to the position of this draft again and spin my own thoughts again. Now that I am old, the essence precedes the form, and I will describe what I want to express most in the way that is most suitable for me. If some time is still left. The phrase that my teacher taught me when I was 20 is still alive. To the point where I'm about to fall into Yukimi.
It will be written in Tokyo on March 23, 2015.
Tokyo
23 March 2015
-------------------------------------------------- -------------------------------------------------- ---------------------------------------------
Quantum theory of language
0 Introduction
Chinese, the main language in China, has a history of more than 2000 years of written language, that is, written language.
"The Analects", which represents the Chinese classics, is a textual material left in modern times, but at the same time, it is said to strongly include the oral language at the time of compiling the book. (Kojiro Yoshikawa 1967)
Here, I will try to analyze the language, which is related to both the written language (words) and the oral language (white story), mainly based on the example of "The Analects". In Chinese, which is classified as an isolated language in the typology
of one language, one syllable has one meaning and one character, that is, Chinese character in principle. Although syllables may form new meanings in succession, each syllable always possesses the original independent meaning and letters without modification, which basically modifies the inherent rules of language of Chinese. It has been retained throughout the long history without any syllables. It is assumed that the grammatical function of Chinese is formed by the arrangement of each word, that is, the word order, without any pronunciation or external change of letters, but the internal principle of the word order, that is, the syntax, is still sufficient. It cannot be said that we have seen the clarification. Here, "Theory", which is said to include both wording and white tales, is adopted for the Chinese language model, and the linguistic rules inherent in Chinese and the linguistic structure inherent in general languages are analyzed mainly by the approach of literary theory. It is something to try.
Traditionally, the syntax of Chinese has been classified into two categories: syntactic expletive and syntactic expletive. The syntactic expletive is said to have a substantive meaning, while the syntactic expletive is used to complement the meaning possessed by the expletive.
For example, in the first passage of "The Analects", "Gakusei Toki Noriyuki, Unexpletive Theory" (Sentence Example 1), "Study", "Time", "Xi", "Yuki", and "Theory" are generally mentioned. It is an expletive, and "meta", "non", and "乎" are syntactics.
Here, one Chinese character that possesses one meaning is regarded as a language quantum having one meaning unit, and is assumed to be the smallest unit of the language.
What has traditionally been categorized as a linguistic quantum usually has one unit of positive quantum. What has been syntactic expletive usually has one unit of negative quantum. One positive quantum is referred to as ℓ +, and one negative quantum is referred to as ℓ-.
A one-positive quantum has kinetic propulsion energy and has the power to move the quantum forward. A negative quantum has kinetic absorption energy and has the power to absorb the motion of the quantum and stop or change it. A one-positive quantum stops or changes its own motion by joining to a one-negative quantum.
According to Example 1 "Gakusei Tokiyuki, Fukui Theory", "Gaku" is changed by "Mitsu", and "Theory" is changed by "Fu", "Yu" and "Kou". The movement was changed and finally stopped.
The kinetic energy of a positive quantum is usually always progressive and does not stop its motion until it joins a negative quantum.
The motion absorption energy of the negative quantum usually has functions such as "pause", "direction change", and "stop".
According to sentence example 1, "meta" is "pause", "non" and "亦" are "direction change", and "乎" is functioning as "stop".
In summary, the quantum is the smallest unit of language with meaning and energy.
2 Appearance and extinction of
quantum Quantum appears when a new meaning is requested to appear in the linguistic world. The request is made when a new meaning is needed to be added to the linguistic world. The relationship between utterances and letters in a language is generally preceded by utterances, but in languages such as Chinese where one syllable has one meaning, the letters that follow are imaginary along with the act of utterance. It would be possible to assume that it was requested as a form. That is, one meaning requires one specific form of identification. This act is natural as a human activity.
Linguistic quanta emerge to add new meaning to the linguistic world. The energy possessed by the quantum is to add its new meaning to the linguistic world, and is inseparably combined with the new meaning.
Quantum disappears when its meaning is no longer needed in the linguistic world. In sentence example 1, "non" originally meant "flower pistil ovary", but its true meaning disappeared early, and it only functioned in the linguistic world as an expletive meaning "cancellation". rice field.
As indicated by this "non", syntactic expletives and syntactic expletsives are not clearly distinguished in Chinese, and mutual entry and conversion have been carried out constantly. That is, as mentioned above, quanta initially appeared to give new meaning to the linguistic world.
Initially a positive quantum, the true word ends its role of giving meaning to the linguistic world, and its kinetic energy disappears. However, the traces of the formation and modification of the linguistic world by the kinetic energy of other quanta continue to receive motion or pressure from other quanta, and are given negative energy as quanta that accept the motion and survive in the linguistic world. Suppose you have something to do. In this way, negative quanta appear.
Since the negative quantum that appears has negative energy, it absorbs the energy of the positive quantum and stops or changes its motion.
3 Quantum junctions and layers
Two or more quanta join each other to form a new structure.
According to sentence example 1 "Gakusei Tokiyuki, Confidential Theory", the quantum junction is as follows.
<ℓ + ℓ－ℓ + ℓ + ℓ + ℓ－ℓ－ℓ + ℓ－>
Here, the positive quantum moves the meaning to the next quantum. Negative quanta absorb, stop or change the kinetic energy of the previous quantum.
It is clear that "meta" and "乎" act as negative quanta to "stop" the structure, that is, the sentence, but the two negative quanta "non" and "亦" are the motions of the quantum. Suppose it is acting as a "change" of.
According to traditional grammar, "non" and "亦" complement the meaning of "theory", but in this quantum theory, the back quantum receives the energy of the front quantum, so in the conventional explanation Cannot be processed.
Here, "change" is to change the direction of the motion of the previous quantum. In this way, the motion of one positive quantum is transferred to another orbit. That is, positive quanta move in one orbit, but some "changed" negative quanta move that orbit to another, creating a new semantic structure.
The trajectory is assumed to be a high-rise building with several floors as a model. Move from the "learn and sometimes learn" floor to another different floor.
Here, "non" moves to the floor that denies "learning and sometimes learning", and "亦" moves this "learning and sometimes learning" to the floor of new possibilities. "乎" moves to the floor that casts doubt on this situation.
This series of situations is modeled and illustrated.
Gaku
↓ Metanori ↓
Un
↓ 亦 Theory
↓ 乎
The famous passage of "The Analects", "Aritomo Jifurai" (The example is illustrated as follows.
Ariho
↓ Jigen 4 Quantum and quantum aggregate code Chemical quanta first appear as positive and their disappearance causes negative. Negative quanta are non-compressive quanta because they are meaningless in the group of positive quanta, so to speak, the semantic space once acquired as positive quanta. It is in a state of constant compression. It is assumed that the energy that is pushed out by the pump is stored in the negative quantum, and the orbit of the positive quantum is changed to move it to a different layer. Therefore, according to this quantum theory . For example, all the kanji of the Chinese language, that is, the quantum having meaning and energy, can be encoded as follows. Quantum // Meaning ℓ Positive energy → Negative energy ↓ The coding of "quantum" is as follows. / ℓ → / / ℓ ↓ / / ℓ → / / ℓ → / / ℓ → / / ℓ ↓ / / ℓ ↓ / / ℓ → / / ℓ ↓ /
Here, if / ℓ → / is represented by the number 1 and / ℓ ↓ / is represented by the number 0, "Gakusei Tokiyuki, Fukui Theory" can be digitized as 101110010.
Therefore, it can be said that the sentence example 1 "Gakusei Tokiyuki, Fukui Theory" is the structure of the linguistic quantum of [Progress 5, Layer 4]. This is referred to as [move5, class4].
Since "Aritomo self-distant coming" in sentence example 2 is
Ariho
↓ self-distant coming
, it is coded as / ℓ
→ / / ℓ → /
/ ℓ ↓ / / ℓ → / / ℓ → / / ℓ → / , and further. It is digitized as 110111 . Its structure is [move5, class1]. Another example is a sentence from "The Analects". "Three-year unrevised father's road, so-called filial piety" (Example 3) / ℓ → / / ℓ → / / ℓ → / / ℓ → / / ℓ ↓ / / ℓ → / / ℓ ↓ / / ℓ → / / ℓ ↓ / / ℓ → / / ℓ → / / ℓ ↓ / 111101010110 [move8, class5] 5 Progress in quantum group and hierarchy See the degree of progress in one hierarchy in a sentence that is a quantum group. In sentence example 1, 5/4 is 0.8 degrees. In sentence example 2, 5 times is 5 degrees. In sentence example 3, 8/5 is 1.6 degrees. Here, we will consider what kind of index the one-level progress frequency is.
The degree of progress 1 is the ratio of syntactic expletive 1 to actual word 1 in the wording, and can be considered to be the clearest sentence in which one meaning exists in one layer.
Therefore, when the degree of progress is 1 or more, there are two or more meanings in one layer, and one meaning is defined in detail and a finer meaning is presented.
On the contrary, when the degree of progress is less than 1, one meaning is not presented in one layer, and the meaning is completed only by two or more layers, which is a supplementary meaning around one meaning. By adding the content, a more constructive meaning is established.
Sentence example 1 is a 0.8 frequency sentence with a supplementary meaning added. Sentence example 2 is a 5th frequency, which is a sentence with a fine meaning. Sentence example 3 is 1.6 degrees, which is a sentence with almost standard or slightly finer rules.
6 Basic Principles of
Quantum Theory Quantum theory is based on the fact that positive quanta, which is traditionally regarded as a real word, progresses in one layer. Therefore, in a certain quantum group, that is, a sentence, when a negative quantum is at the beginning, it can be considered that the positive quantum or the quantum group is omitted before it.
It is said that the negative quantum changes the traveling direction of the positive quantum and shifts to a new hierarchy due to the compression energy received by the negative quantum, but it can be explained more accurately as follows.
The meaning of "ya", which is generally regarded as an expletive, is unclear in modern times, and it can be considered that it has almost disappeared as a positive quantum. Instead, the syntactic expletive function as a negative quantum has emerged and continues to the present day, but if the function is subdivided, it is extremely diverse, such as assertion, subject presentation, call, mourning, question, and irony.
For example, in "Kaiya Foolishness" ("The Analects"), the person "Kai" is denied (and the hierarchy changes) in the heart of Confucius (the hierarchy changes). (The hierarchy changes) "The kind of confucius" is presented. "
The hierarchy changes" means that the person "time" was transformed from a real person to a consideration object in Confucius's mind by the appearance of "ya", and the consideration object is " It means that it is erased by "impairment", and it means that a new concept of "foolishness" appears.
That is, the negative quantum does not have a direct meaning to the linguistic world that the positive quantum has, but it is a kind of vacuum weightlessness by guiding the positive quantum to its own region that is no longer blank as a matter of fact. It is assumed that the state is brought to life and its orientation is changed. It is assumed that the energy required for the conversion comes from the energy of the pressure applied to the area.
7 Meaning of Negative Quantum The meaning of
a negative quantum is often much more subtle than the meaning of a positive quantum, as is clear from the above-mentioned classification of the meaning of "ya". How can these meanings be considered to have emerged?
It was assumed that the negative quantum extinguished its function as a real word and had a kind of vacuum region, but once the meaning of assertion was established here, the meaning of the positive quantum that was previously joined to this "ya" , The vacuum region will show a constant reaction. For example, when a person's name such as "time" is joined before, "ya" functions as a subject presentation, which is a transformation of affirmative semantic function.
8 Energy of negative quanta
It has already been described in "2 Appearance and disappearance of quanta" that the energy of positive quanta is given to add a new meaning to the linguistic world, but here there is a negative quantum.するエネルギーについて詳述する。
---------------------------------------------------------------------------------------------------
Note
22 December 2017
This manuscript was written at a hotel of Hakuba, Nagano, Japan in March 2003, where my family stayed for hot spring and ski. In autumn 2002, I thought of relationship between time and characters inspired by WANG Guowei's paper written on old Chinese character's studies, one of which he declared that character heng 亙 was imaged from a ship coming and going the banks. This character contained the notation of the continuous time of ship operation between the banks.
But if character contain the time going, character seemed to have any existence of inherent energy in it.
Note 2
Quantum theory of language
0 Introduction
Chinese, the main language in China, has a history of more than 2000 years of written language, that is, written language.
"The Analects", which represents the Chinese classics, is a textual material left in modern times, but at the same time, it is said to strongly include the oral language at the time of compiling the book. (Kojiro Yoshikawa 1967)
Here, I will try to analyze the language, which is related to both the written language (words) and the oral language (white story), mainly based on the example of "The Analects". In Chinese, which is classified as an isolated language in the typology
of one language, one syllable has one meaning and one character, that is, Chinese character in principle. Although syllables may form new meanings in succession, each syllable always possesses the original independent meaning and letters without modification, which basically modifies the inherent rules of language of Chinese. It has been retained throughout the long history without any syllables. It is assumed that the grammatical function of Chinese is formed by the arrangement of each word, that is, the word order, without any pronunciation or external change of letters, but the internal principle of the word order, that is, the syntax, is still sufficient. It cannot be said that we have seen the clarification. Here, "Theory", which is said to include both wording and white tales, is adopted for the Chinese language model, and the linguistic rules inherent in Chinese and the linguistic structure inherent in general languages are analyzed mainly by the approach of literary theory. It is something to try.
Traditionally, the syntax of Chinese has been classified into two categories: syntactic expletive and syntactic expletive. The syntactic expletive is said to have a substantive meaning, while the syntactic expletive is used to complement the meaning possessed by the expletive.
For example, in the first passage of "The Analects", "Gakusei Toki Noriyuki, Unexpletive Theory" (Sentence Example 1), "Study", "Time", "Xi", "Yuki", and "Theory" are generally mentioned. It is an expletive, and "meta", "non", and "乎" are syntactics.
Here, one Chinese character that possesses one meaning is regarded as a language quantum having one meaning unit, and is assumed to be the smallest unit of the language.
What has traditionally been categorized as a linguistic quantum usually has one unit of positive quantum. What has been syntactic expletive usually has one unit of negative quantum. One positive quantum is referred to as ℓ +, and one negative quantum is referred to as ℓ-.
A one-positive quantum has kinetic propulsion energy and has the power to move the quantum forward. A negative quantum has kinetic absorption energy and has the power to absorb the motion of the quantum and stop or change it. A one-positive quantum stops or changes its own motion by joining to a one-negative quantum.
According to Example 1 "Gakusei Tokiyuki, Fukui Theory", "Gaku" is changed by "Mitsu", and "Theory" is changed by "Fu", "Yu" and "Kou". The movement was changed and finally stopped.
The kinetic energy of a positive quantum is usually always progressive and does not stop its motion until it joins a negative quantum.
The motion absorption energy of the negative quantum usually has functions such as "pause", "direction change", and "stop".
According to sentence example 1, "meta" is "pause", "non" and "亦" are "direction change", and "乎" is functioning as "stop".
In summary, the quantum is the smallest unit of language with meaning and energy.
2 Appearance and extinction of
quantum Quantum appears when a new meaning is requested to appear in the linguistic world. The request is made when a new meaning is needed to be added to the linguistic world. The relationship between utterances and letters in a language is generally preceded by utterances, but in languages such as Chinese where one syllable has one meaning, the letters that follow are imaginary along with the act of utterance. It would be possible to assume that it was requested as a form. That is, one meaning requires one specific form of identification. This act is natural as a human activity.
Linguistic quanta emerge to add new meaning to the linguistic world. The energy possessed by the quantum is to add its new meaning to the linguistic world, and is inseparably combined with the new meaning.
Quantum disappears when its meaning is no longer needed in the linguistic world. In sentence example 1, "non" originally meant "flower pistil ovary", but its true meaning disappeared early, and it only functioned in the linguistic world as an expletive meaning "cancellation". rice field.
As indicated by this "non", syntactic expletives and syntactic expletsives are not clearly distinguished in Chinese, and mutual entry and conversion have been carried out constantly. That is, as mentioned above, quanta initially appeared to give new meaning to the linguistic world.
Initially a positive quantum, the true word ends its role of giving meaning to the linguistic world, and its kinetic energy disappears. However, the traces of the formation and modification of the linguistic world by the kinetic energy of other quanta continue to receive motion or pressure from other quanta, and are given negative energy as quanta that accept the motion and survive in the linguistic world. Suppose you have something to do. In this way, negative quanta appear.
Since the negative quantum that appears has negative energy, it absorbs the energy of the positive quantum and stops or changes its motion.
3 Quantum junctions and layers
Two or more quanta join each other to form a new structure.
According to sentence example 1 "Gakusei Tokiyuki, Confidential Theory", the quantum junction is as follows.
<ℓ + ℓ－ℓ + ℓ + ℓ + ℓ－ℓ－ℓ + ℓ－>
Here, the positive quantum moves the meaning to the next quantum. Negative quanta absorb, stop or change the kinetic energy of the previous quantum.
It is clear that "meta" and "乎" act as negative quanta to "stop" the structure, that is, the sentence, but the two negative quanta "non" and "亦" are the motions of the quantum. Suppose it is acting as a "change" of.
According to traditional grammar, "non" and "亦" complement the meaning of "theory", but in this quantum theory, the back quantum receives the energy of the front quantum, so in the conventional explanation Cannot be processed.
Here, "change" is to change the direction of the motion of the previous quantum. In this way, the motion of one positive quantum is transferred to another orbit. That is, positive quanta move in one orbit, but some "changed" negative quanta move that orbit to another, creating a new semantic structure.
The trajectory is assumed to be a high-rise building with several floors as a model. Move from the "learn and sometimes learn" floor to another different floor.
Here, "non" moves to the floor that denies "learning and sometimes learning", and "亦" moves this "learning and sometimes learning" to the floor of new possibilities. "乎" moves to the floor that casts doubt on this situation.
This series of situations is modeled and illustrated.
Gaku
↓ Metanori ↓
Un
↓ 亦 Theory
↓ 乎
The famous passage of "The Analects", "Aritomo Jifurai" (The example is illustrated as follows.
Ariho
↓ Jigen 4 Quantum and quantum aggregate code Chemical quanta first appear as positive and their disappearance causes negative. Negative quanta are non-compressive quanta because they are meaningless in the group of positive quanta, so to speak, the semantic space once acquired as positive quanta. It is in a state of constant compression. It is assumed that the energy that is pushed out by the pump is stored in the negative quantum, and the orbit of the positive quantum is changed to move it to a different layer. Therefore, according to this quantum theory . For example, all the kanji of the Chinese language, that is, the quantum having meaning and energy, can be encoded as follows. Quantum // Meaning ℓ Positive energy → Negative energy ↓ The coding of "quantum" is as follows. / ℓ → / / ℓ ↓ / / ℓ → / / ℓ → / / ℓ → / / ℓ ↓ / / ℓ ↓ / / ℓ → / / ℓ ↓ /
Here, if / ℓ → / is represented by the number 1 and / ℓ ↓ / is represented by the number 0, "Gakusei Tokiyuki, Fukui Theory" can be digitized as 101110010.
Therefore, it can be said that the sentence example 1 "Gakusei Tokiyuki, Fukui Theory" is the structure of the linguistic quantum of [Progress 5, Layer 4]. This is referred to as [move5, class4].
Since "Aritomo self-distant coming" in sentence example 2 is
Ariho
↓ self-distant coming
, it is coded as / ℓ
→ / / ℓ → /
/ ℓ ↓ / / ℓ → / / ℓ → / / ℓ → / , and further. It is digitized as 110111 . Its structure is [move5, class1]. Another example is a sentence from "The Analects". "Three-year unrevised father's road, so-called filial piety" (Example 3) / ℓ → / / ℓ → / / ℓ → / / ℓ → / / ℓ ↓ / / ℓ → / / ℓ ↓ / / ℓ → / / ℓ ↓ / / ℓ → / / ℓ → / / ℓ ↓ / 111101010110 [move8, class5] 5 Progress in quantum group and hierarchy See the degree of progress in one hierarchy in a sentence that is a quantum group. In sentence example 1, 5/4 is 0.8 degrees. In sentence example 2, 5 times is 5 degrees. In sentence example 3, 8/5 is 1.6 degrees. Here, we will consider what kind of index the one-level progress frequency is.
The degree of progress 1 is the ratio of syntactic expletive 1 to actual word 1 in the wording, and can be considered to be the clearest sentence in which one meaning exists in one layer.
Therefore, when the degree of progress is 1 or more, there are two or more meanings in one layer, and one meaning is defined in detail and a finer meaning is presented.
On the contrary, when the degree of progress is less than 1, one meaning is not presented in one layer, and the meaning is completed only by two or more layers, which is a supplementary meaning around one meaning. By adding the content, a more constructive meaning is established.
Sentence example 1 is a 0.8 frequency sentence with a supplementary meaning added. Sentence example 2 is a 5th frequency, which is a sentence with a fine meaning. Sentence example 3 is 1.6 degrees, which is a sentence with almost standard or slightly finer rules.
6 Basic Principles of
Quantum Theory Quantum theory is based on the fact that positive quanta, which is traditionally regarded as a real word, progresses in one layer. Therefore, in a certain quantum group, that is, a sentence, when a negative quantum is at the beginning, it can be considered that the positive quantum or the quantum group is omitted before it.
It is said that the negative quantum changes the traveling direction of the positive quantum and shifts to a new hierarchy due to the compression energy received by the negative quantum, but it can be explained more accurately as follows.
The meaning of "ya", which is generally regarded as an expletive, is unclear in modern times, and it can be considered that it has almost disappeared as a positive quantum. Instead, the syntactic expletive function as a negative quantum has emerged and continues to the present day, but if the function is subdivided, it is extremely diverse, such as assertion, subject presentation, call, mourning, question, and irony.
For example, in "Kaiya Foolishness" ("The Analects"), the person "Kai" is denied (and the hierarchy changes) in the heart of Confucius (the hierarchy changes). (The hierarchy changes) "The kind of confucius" is presented. "
The hierarchy changes" means that the person "time" was transformed from a real person to a consideration object in Confucius's mind by the appearance of "ya", and the consideration object is " It means that it is erased by "impairment", and it means that a new concept of "foolishness" appears.
That is, the negative quantum does not have a direct meaning to the linguistic world that the positive quantum has, but it is a kind of vacuum weightlessness by guiding the positive quantum to its own region that is no longer blank as a matter of fact. It is assumed that the state is brought to life and its orientation is changed. It is assumed that the energy required for the conversion comes from the energy of the pressure applied to the area.
7 Meaning of Negative Quantum The meaning of
a negative quantum is often much more subtle than the meaning of a positive quantum, as is clear from the above-mentioned classification of the meaning of "ya". How can these meanings be considered to have emerged?
It was assumed that the negative quantum extinguished its function as a real word and had a kind of vacuum region, but once the meaning of assertion was established here, the meaning of the positive quantum that was previously joined to this "ya" , The vacuum region will show a constant reaction. For example, when a person's name such as "time" is joined before, "ya" functions as a subject presentation, which is a transformation of affirmative semantic function.
8 Energy of negative quanta
It has already been described in "2 Appearance and disappearance of quanta" that the energy of positive quanta is given to add a new meaning to the linguistic world, but here there is a negative quantum.するエネルギーについて詳述する。
---------------------------------------------------------------------------------------------------
Note
22 December 2017
This manuscript was written at a hotel of Hakuba, Nagano, Japan in March 2003, where my family stayed for hot spring and ski. In autumn 2002, I thought of relationship between time and characters inspired by WANG Guowei's paper written on old Chinese character's studies, one of which he declared that character heng 亙 was imaged from a ship coming and going the banks. This character contained the notation of the continuous time of ship operation between the banks.
But if character contain the time going, character seemed to have any existence of inherent energy in it.
Note 2
29 June 2018
Definition of quantum in this manuscript was intuitive while in my mind there was rather precise image that was not able to write by mathematical approach in the days of 2003.
Definition of quantum in this manuscript was intuitive while in my mind there was rather precise image that was not able to write by mathematical approach in the days of 2003.
Now the situation has been changed drastically through development of quantum group. Particularly from the Drinfeld's speech at the international mathematician conference in 1984.
I wrote the simple trial paper on quantum group in 2008.
Kac-Moody Lie Algebra Note 2 Quantum Group2008Papers related on the pre-thought on quantum group is seen at SRFL Lab.SRFL Lab's Preparatory paper
I wrote the simple trial paper on quantum group in 2008.
Kac-Moody Lie Algebra Note 2 Quantum Group2008Papers related on the pre-thought on quantum group is seen at SRFL Lab.SRFL Lab's Preparatory paper
Inherent energy in language has been become a little updated after writing in 2003.
Now arranged at the next.
----------------------------------------------------------------------------------
Tokyo
20 June 2018
Sekinan Zoho
Now arranged at the next.
----------------------------------------------------------------------------------
Energy
- Potential of Language 2009
- The days when I was thinking on Energy Distance Theory 2014
- Preparation for the energy of language 2015
Tokyo
20 June 2018
Sekinan Zoho
-----------------------------------------------------------------------------------
Tokyo
29 June 2018
No comments:
Post a Comment