Science,English,and math 4th

【Thank you very much, Mayumichan】

I can start expressing myself in English again here because of Mayumichan who was a kind lady, so I`m grateful to her for it. 有難う、マユミちゃん😊

I`m going to start from the last response of the Science, math and English 3rd. Here we go.

【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

A book on math decided the life of Ramanujan. Its title was basic summary on pure appliance of math written by an English teacher on math. Formulas for taking exam were written in the book.

It`s just that some 6000 theorems and formulae were...

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【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

It`s just that some 6000 theorems and formulae were written in the book with every title. It was dull and boring, but Ramanujan was absorbed in thought whether or not the theorems and formulas were right, so he made sure for himself.

It`s just that simple comments were added to every theorem and formula, but there were none of demonstrations for them, so he had to think of original ways so as to make sure those theorems and formulas were right, but it was often some hints led to new discovery of new theorems.

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【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

Ramanujan learned to write down on a notebook when discovering new theorems and formulas for himself.

After that those notebook were put in order and collected three notebooks, and have been possessed at library in Madras university, but results of theorems and formulae were written in the notebooks but there were none of demonstrations for them.

He learned math with self education, so one-third of description on the notebook were already discovered before, but rest of the two-thirds were new discoveries.

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【A marvelous inspiration form the Indian magician】

《Coming across a book on math》

Its number are 3254 in total, and some of them are the ones without using the latest way no one can demonstrate.

77 years passed after his death, then all the theorems and formulae on the notebooks were demonstrated.

For example, pi. It`s expressed with addition of sum of numbers which continue infinitively. The author said he was going to express it in chapter 5, and this expression belongs to chapter 2.

The formula which Ramanujan thought of approaches the true value of the pi so quickly that we are...

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【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

The formula which Ramanujan thought of approaches a true value on the pie so quickly that we are forced to surprised at it.

When calculating first two numbers, its value is as same with that of the eighth decimal place on the true value of the pi.

To tell the truth, I`m not sure of the way of calculating, for I`ve never read the chapter 5, so I can`t have any comment so much, so I`m going to go on express as the book did.

Gottfried Leibniz is called a father on calculus of differential and integral.

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【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

He seems to be such a great mathematician that his ability on math was equal to Newton, though I have little knowledge on Newton, so I`m not sure how splendid both of them were on mathematical ability.

Leibniz also thought of formula on the pie. It seems to be well known and it was accurate to the third decimal place.

As a result, Ramanujan was better than Leibniz in relation to the way of calculation on the pi at least, but to my sorrow, I have little knowledge on the significance of the pi. I hate math.

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【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

It was not until 1987 after sixty years Ramanujan was dead that the accuracy on the formula of of pi by Ramanujan wasn’t demonstrated. After that the calculation on the pi has extended its number on digit by leaps and bounds.

No one seem to be able to think of the way like him, and when he was asked the resource of his imagination, he answered like the next.

I`m afraid that you can`t believe me, but the goddess who I pray for every day made me think of the way on the formula.

In addition he said an...

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【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

In addition he said an equation which doesn`t express any intention from the god is meaningless. Ramanujan discovered lots of theorems and formulas and they have influenced over lots of theories such as elementary particles, the cosmos, polymer chemistry, a study on cancer.

A famous physicist said studying Ramanujan has been to be significant, for his formulas aren’t only beautiful but have both something essential and something deep. It has turned out to be.

I have little knowledge on math, so my remark...

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【A marvelous inspiration from the Indian magician】

《Coming across a book on math》

As you know, I have little knowledge on math, so my remark, though it`s just my poor translation from the book, is superficial.

《Half dozen of new theorem every morning》

In 1913 Ramanujan learned to extract some theorems from his notebook and to send first rank of mathematicians letters in England which was a suzerain for India, and one of the mathematicians was Godfrey Hardy who was a central person in English mathematical world then.

Hardy read the letter written unknown formula carefully about for ...

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【A marvelous inspiration from the Indian magician】

《Half dozen of theorems every morning》

Hardy read the unknown theorems in letters carefully about for three hours with his colleague and came to an conclusion that the one who they dealt with was a genius without mistake.

Next year, Ramanujan was invited to Cambridge University, and learned to study with Hardy. Later Hardy said Ramanujan arrived with about a half dozen of theorems every morning, and Hardy guided him to add a demonstration to each of new theorems over and over again.

But Ramanujan had never received an orthodox education...

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【A marvelous inspiration from the Indian magician】

《A half dozen of theorems every morning》

But Ramanujan had never received an orthodox education on math, so he hardly understood anything on the demonstration itself. Almost all of the theorems which Ramanuj submitted to was shown from the Goddess, and the ones which they looked at with his own eyes.

He was at a loss when asking to demonstrate the theorems.

For example, let’s suppose that there was a one who had never watched UFO, and asking to express what the UFO was. Then expressing the UFO seems to be hard. His situation resembles it.

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【Marvelous inspiration from the Indian magician】

《Half dozens of theorems every morning》

Hardy gave up requesting demonstrations to Ramanujan soon, and when he was received the theorems, he regarded them as oracles from the god and adding demonstrations to the theorem was his job, he learned to be businesslike then.

The one which is worthy of mention among their joint research is a formula of approximate value on division number. What is the division number?

It’s...oh, I`m so sleepy that I can’t continue today any more. I have to go to bed, good night.

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【Marvelous inspiration from the Indian magician】

《Half dozen of new theorems every morning》

The division number is a total number of the way on addition that a natural number is divided. It includes the number itself.

For example, 4 is expressed with 4, 3＋1、2＋2、2＋1＋1、1＋1＋1＋1, it is done with five ways, so the division number on 4 is five.

The bigger the original number is, the harder the calculation on division becomes, but the equation on an approximation value between Ramanujan and Hardy is proud of high precision.

Is it so marvelous? To tell the truth, I`m not sure of its significance.

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【Marvelous magician from the Indian magician】

《A formula which has cleared a modern math》

But the communal operation between Ramanujan and Hardy didn’t continue for a long time.

Ramanujan wasn’t only a vegetarian but didn’t eat anything except for any dish cooked by Brahman. In addition, he was absorbed in cooperative operation with Hardy so much that he went on studying 30 hours without taking a rest and went on sleeping 20 hours after that.

He ruined his health due to the irregular life after three years when he went to England. He returned to India in 1919, but he was dead in the...

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【Marvelous inspiration from the Indian magician】

《A formula which has cleared the modern math》

…he was dead in the next year. Then he was just the age of 32.

After returning to India, Ramanujan wrote down something significant on math on a notebook and its fragment happened to be discovered.

Mock theta function 擬テータ関数 and its formulas of which number were six thousand over were written down on the notebook. The discovery was so splendid that it was compared with the discovery on the tenth symphony by Beethoven.

To tell the truth, I have none of knowledge on Beethoven, besides...

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【Marvelous inspiration from the Indian magician】

《A formula which has cleared the modern math》

To tell the truth, I`ve never have listened to any symphony on Beethoven, so I`m sure the simile on the author wasn’t suitable.

When the fragment on the notebook was discovered, lots of people thought it had common points with theta function developed by a German mathematician, so it was named like that, but what does it mean on the lots of formulas of the Mock theta function? Large part of them remain mysterious at present.

Theta function has played an important role on the superstring ...

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【Marvelous inspiration from the Indian magician】

《A formula which has cleared the modern math》

The theta function has played an important role on superstring theory of modern physics.

As to the Mock theta function, we`ve hoped it`s related to the swelling energy on the universe and the grand unified theory in which trying to express all the power with unification, and lots of mathematicians and physicists have studied it enthusiastically at present.

As to the superstring theory, its easy way of thinking was on the internet, so I`m going to express it.

The theory says ultimate element...

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【The theory on superstring】

The theory has said the ultimate element on material isn`t any particle but a string!

As to the scale on the superstring, it is said 10 ー35［m］, on the other hand, as to the scale on an atom is 10 — 10［m］, so the superstring is extremely minimum.

There are several hundreds of kind of elementary particles, and it is said we can express them with a single string.

When the string swings, waves of which number of swings are different happen, and each of waves is equal to each of the element particles, and the vacuum is filled with the strings.

Does it mean that...

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【The theory on superstring】

Does it mean that each of elementary particles isn`t independent each other but each of them is connected as they were a single string? As a result, they are influenced each other?

As to its size, I understand it`s so minimum, but I`m not sure its unit, though even if I`ve heard, I`m afraid it won`t ring a bell.
　
I`m wondering how it is demonstrated, but lots of the people tried to do it at present.

I`m going to express the grand unified theory in relation to easy way of thinking.

【The grand unified theory】

There...

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【The grand unified theory】

I`m going to express, being based on an expression in the internet, the elementary particles are expressed as a single string, everything is unified with a single one.

There are four kinds of power in the natural world such as gravitation, electromagnetism, a strong power which works inside an atomic nucleus, and a weak power among the elementary particles.

Except for the gravitation, a theory which unifies other three powers is unified theory which is the theory for everything, and it`s called an ultimate theory which physicists have sought for.

The theory...

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