When will Abel be decentralized

1. Go to the Internet and have a look

2.

Nier period? Henrik? Abel (1802-1829) was born in August 1802 in a Norwegian village. He changed very early and showed his talent in mathematics

When he was 16 years old, he met a teacher who appreciated his talent. He introced him to read the works of Newton, Euler, Lagrange and Gauss. The outstanding creative methods and achievements of the masters suddenly broadened Abel's vision and promoted his spirit to a new level. He was soon pushed to the forefront of mathematical research at that time. Later, he wrote in his notes with emotion: "if you want to make progress in mathematics, you should read the works of masters, not their disciples."

In 1821, Abel had to study at the University of Oslo because of the generous support of homber and other friends

Two years later, in an unknown magazine, he published his first research paper on solving classical isochron problems with integral equations. This paper shows that he is the first one to directly apply and solve integral equations

Then he studied the general quintic equation. At first, he mistakenly thought that he had got a solution. Homber suggested that he send it to a famous mathematics reviewer in Denmark for review. Fortunately, the reviewer asked for further details before he planned to examine it carefully, which made it possible for Abel to find and correct the mistakes himself. He began to doubt whether the general quintic equation could be solved

The transformation of the

problem opened up a new direction of exploration, and he finally successfully proved that it is impossible to solve the general quintic equation by radical like the lower order equation

this young man's mathematical thinking has gone far beyond the Norwegian border, and he needs to exchange ideas and experience with people with the same intelligence. As Abel's professors and friends were acutely aware of this, they decided to persuade the school authorities to apply to the government for a public fee so that he could make a mathematical trip to the European continent

After routine red tape and delay, Abel finally got the public money in August 1825 and began his two-year trip to the mainland

The self satisfied Abel printed the paper proving that the quintic equation is not solvable at his own expense, and took it as his scientific passport to the great mathematicians in mainland China, especially Gauss. He believes that Gauss will be able to recognize the value of his work and go beyond regular interviews

But it seems that Gauss didn't pay attention to this paper, because people found that the pamphlet Abel sent to him had not been cut out in Gauss's posthumous remains

Berlin is Abel's first stop. He stayed there for nearly a year. Although the expectation of waiting for Gauss to be summoned finally failed, this year was the luckiest and most fruitful period in his life

In Berlin, Abel met and got to know his second bole, crayler. Crayler is a railway engineer and an enthusiast of mathematics. He has a place in the history of mathematics with the Journal of pure and applied mathematics, which is the first journal in the world to publish creative mathematics research papers. Later, people used to call this journal "crayler magazine". In fact, there are no papers on Applied Teaching in the journal, which is different from the purpose of its name. Therefore, some people call it "pure non Applied Mathematics Journal"

Abel is one of the people who helped kleler to negotiate the publication. When they met for the first time, they left a good and deep impression on each other. Abel said he had read all of kleler's mathematical papers and that he found some mistakes in them. Kleler is very modest. He has realized that this young man with a childish face has an extraordinary talent in mathematics. He read Abel's pamphlet on quintic equation and frankly admitted that he didn't understand it

However, at this time, he has decided to implement the proposed publication plan immediately and put Abel's paper into the first issue. So Abel's research papers, kleler magazine can graally improve its reputation and expand its influence

It was ring this period that Abel's most important work, the extensive study of elliptic function theory, was completed. On the contrary, in the past, it was this work that was treated coldly, experienced hardships, and failed to get fair evaluation for a long time

It is now generally recognized that Abel's work (and later Jacobi's (1804-1851) developed this theory) is one of the two highest achievements of function theory in the first half of the 19th century

The elliptic function studied by Abel is derived from elliptic integral. As early as the 18th century, from the study of many problems in physics, astronomy and geometry, we often derived some integrals that can not be expressed by elementary functions. These integrals and the integrals for calculating the length of elliptic arc often have some formal commonalities, which is the name of elliptic integral

At the beginning of the 19th century, the authority of elliptic integral was Legendre (1752-1833), a senior member of the French Academy of Sciences. He studied this subject for 40 years. He drew many new inferences from his predecessors' work and organized many conventional mathematical topics, but he did not enhance any basic ideas. He led this research to the situation of "mountains and rivers are complex, and there is no way out". It was Abel who eclipsed all Legendre's research in this field and opened up a bright future

The key comes from a simple analogy. There is a well-known formula in calculus. The inverse function of the indefinite integral on the left side of the formula is trigonometric function. It is not difficult to see that the elliptic integral and the above indefinite integral have some form of correspondence

Therefore, if we consider the inverse function of elliptic integral, it should have some form of correspondence with trigonometric function. Since it is much easier to study trigonometric function than inverse trigonometric function expressed as indefinite integral, shouldn't it be much easier to study inverse function of elliptic integral (later called elliptic function) than elliptic integral itself

"reverse", this idea is very beautiful, and it is really very simple and ordinary. But after 40 years of hard thinking, Le Jean never thought of it. There is no lack of such examples in the history of Science: "beautiful, simple, profound and fruitful ideas need not the simple accumulation of knowledge and experience, not the deliberate reasoning, not the repeated chewing of research subjects, but a kind of extraordinary insight that can penetrate all obstacles and go deep into the root of problems. This is probably what people call genius

the idea of "upside down" is like a flash of lightning to illuminate the mystery of this subject. With this idea, Abel has a strategic position to promote his research. He obtained the basic properties of elliptic function, and found the relationship between elliptic function and trigonometric function π The periodicity of elliptic function is proved by the constant K with similar action

he established the addition theorem of elliptic functions. With the help of this theorem, he extended elliptic functions to the whole complex field and found that these functions are Bi periodic, which is a new discovery; He further proposed a more general and difficult type of integral Abel integral, and obtained a key theorem in this respect, namely the famous Abel basic theorem, which is a very wide extension of the addition theorem of elliptic integral

As for the inversion of Abelian integral, Abelian function, was first proposed and studied by Riemann (1826-1866). In fact, Abel found a vast fertile soil, which he could not complete in a short time. In the words of Hermite, Abel's follow-up work "could keep mathematicians busy for 500 years". Abel put these rich achievements into a long paper on the general properties of a class of transcendental functions

at this time, he had put Gauss behind him, gave up his plan to visit goengen, and pinned his hope on the French mathematicians. After he politely declined kleler's suggestion to settle in Berlin, he left for Paris

in the most prosperous metropolis in the world, there are many famous digital giants, such as Cauchy (1789-1857), Legendre, Laplace (1749-1827), Fourier (1768-1830) and Poisson (1781-1840). Abel believes that he will find a bosom friend there

Abel arrived in Paris in July 1826. He met all the famous mathematicians there. They all received him politely, but no one was willing to listen to him carefully about his work. On the noble scale of these celebrities, how much weight can this shy, poorly dressed young man from a remote and backward country have

In his letter to homber about Paris, Abel said: "the French are much more worldly to strangers than the Germans. It's more difficult for you to be close to them. To be honest, I don't expect any glory now

In the end, any pioneer who wants to attract attention here will have to encounter huge obstacles. Although Abel is very confident, he has deep doubts about whether this work can be reasonably evaluated

Abel submitted his paper to the French Academy of sciences through normal channels. Fourier, the Secretary of the Academy of Sciences, read the introction of the paper and commissioned Legendre and Cauchy to review it. When Cauchy took the manuscript home, he couldn't remember where it was. It was not until two years later that Abel died that the original manuscript of the missing paper was found again, and the official publication of the paper was delayed for 12 years

Abel had been waiting in Paris for nearly a year. The landlord he lived in was very mean. He only had two meals a day, but he charged a high rent

One day, he felt very uncomfortable and was diagnosed with lung disease by the doctor. Although he stubbornly didn't believe it, the truth was that he was exhausted. Abel had no choice but to leave Paris and return home with a lonely heart and a sick body. When he returned to Berlin, he was out of pocket. Thanks to the timely remittance of some money, he was able to return home after a short rest in Berlin

Who should be responsible for Abel's misfortune? People will naturally think of Corsi and Legendre who reviewed Abel's thesis. At that time, Cauchy was 38 years old. He was full of energy and creativity. He was busy with his own affairs and neglected others. He made a big mistake. How's Le Jean doing? At that time, he could not be as busy with research as Cauchy, so he should have more responsibility for training and recruiting the young generation of scientific talents

However, the main point is that the theme of Abel's thesis is exactly what Legendre is familiar with. In a sense, it is his hereditary territory. Although there are many novel and difficult concepts in this paper, the basic ideas leading to these concepts are simple

A layman may not be able to appreciate the beauty and profundity of this simple thought, but Legendre is by no means a layman when he is right about the problem he is discussing

3. Some letter combinations have a fixed pronunciation<
ch Beach Beach lunch lunch cheese bench church chicken chair cherry
sh sheep shirt ship ship fish dish plate push shoes shovel
wh white whale white wheel wheelchair wheat whip whistle Whistler whisper
brother Brother feather feather leather father mother father mother
thumb three bath mat thirsty thief thief bath bath mouth tooth
pH photo photo elephant telephone trophy pharmacy alphabet
GH right right right right right right sight see night night tight I hope I can help you solve your doubts.

4. From small to large, there are generally 7 specifications of cross screw driver
ph000 ph00 pH0 Ph1 pH2 PH3 pH4
the general relationship between screw driver rod diameter and specification:
4mm ~ 4.5mm rod generally achieves cross Ph1, which can cover ph000 ph00 pH0 Ph1
this series basically belongs to precision series, disassembly and assembly of small electronic equipment, glasses, watches, radios, tape recorders, etc.. Necessary! This is mainly a suit, in which ph000 is very small, not many

6mm rod is generally used for the cross pH2 specification, which is the most commonly used specification in medium-sized screwdrivers, so you can buy one separately, which can be used for the fastening screws of monitor, radio, TV and other shell, the fixing of transformer, etc, The woodworking electric batch is also a pH2 head for making furniture door screws.
8mm rod is used for PH3, and 10mm rod is used for pH4, which may be used in mechanical equipment, but it is rarely used in electronic assembly, unless it is used as electric box controller...

so the combination scheme of cross screwdriver configuration is roughly as follows:
precision screwdriver set with 4mm rod and below + an independent pH2 screwdriver

5. Th is overtone, that is, don't press the proct, then play it with your right hand and release it with your left hand at the same time. PH is to hit the string, and directly press the sound of the proct with the left hand

6. Title: what is the name of lubanqi's passive skill? What's the name of lubanqi's passive skill? Let's take a look at the answers to the daily question on November 21. Title: what is the name of lubanqi's passive skill? Answer format: WZ + answer: wz

7. Neither. It depends on your maintenance experience. If the experience meets the requirements, you can make up for it.