From University Lecturer to Chief Academician

Yang Yuan mentioned that he made two sets of data plans, and the wind pressure test evaluation values ​​were all lower than 20, which really surprised Li Jianhua and his team.

Li Jianhua has been engaged in fighter aircraft design for a long time and is one of the most famous fighter design experts in China.

The team he leads has a dedicated power group, and the people in the power group are also top aerodynamic experts who have been engaged in the aerodynamic research of aircraft flight for a long time.

The low-altitude flight dynamics research of fighter jets is the top priority of fighter jet dynamics research.

They are just a power group, and the content of the research is still relatively complicated. The purpose is to provide support for aircraft design, not to study the content of the theory.

But they are also very professional and understand what the wind pressure test evaluation value below 20 means.

That is the most advanced level in the world, the most advanced fighter jets in the world, and the wind pressure test evaluation of low-altitude flight cannot be lower than 20.

The development of domestic military technology is very fast, and some aspects have already caught up with the international level, but it is indeed a big talk to say that research has surpassed the international level.

The research goal of Yang Yuan's team is also very high. It can be said that the wind pressure assessment value is lower than 20, but when doing project research, the goal is just the goal, and the goal is generally not achieved.

A wind pressure assessment value below 20 is just the best result.

Now that they heard Yang Yuan's affirmative words, the two aerodynamic experts present questioned and refuted directly, because they were so surprised.

Yang Yuan didn't care about being questioned, of course he knew why the other party lost his composure, so he just said proudly, "We have an expert to help us!"

"Do you know Professor Wang Hao from Xihai University? He is a super genius." He said with a thumbs up. "In the field of partial differential equations, who can surpass him in the research of ns equations?"

"Let's not talk about it in China, it's hard to find internationally!"

Saying this sentence makes people feel like talking big, but with the addition of the name "Xihai University Wang Hao", Li Jianhua and his party did not refute it.

Wang Hao is really famous.

In the past year, he was the mathematician who appeared the most in public opinion, and the frequency of appearance was even higher than that of some "hot mathematicians" and "net celebrity scholars".

Some mathematicians will be discussed for a long time because of certain events.

Wang Hao has continuously appeared in public opinion because of certain events, and most of his reports are because of his amazing results.

For example, Mersenne primes.

He found several Mersenne prime numbers in a row, which directly shocked the international mathematics community. With his personal research results, he almost "destroyed" GIMPS, which was looking for Mersenne prime numbers. Therefore, GIMPS cooperated with Wang Hao to continue to open and support users. Search work for Mersenne primes.

Another example is the proof of the Kakutani conjecture.

Domestically speaking, the Kadoya conjecture is a very famous mathematical conjecture, second only to Goldbach's conjecture in popularity.

Wang Hao completed the proof of Kakutani's conjecture, and he was immediately recognized as one of the world's top mathematicians.

etc.

Some time ago, Wang Hao's achievement also appeared in the media, which is about the research on "approximate solution of NS equation".

People in the academic circle feel very strange, because ordinary people can't understand this achievement, and even if they can understand it, they probably won't be interested.

As a result, some time before the release of the results, many people were discussing the importance of finding approximate solutions to the NS equation, and then it was reported that Wang Hao's paper was published in "New Advances in Mathematics", one of the four top journals.

It felt like the front was trying to create momentum for Wang Hao.

However, those who are well-informed can still know that there was someone deliberately guiding public opinion, probably Fu Chunjie from Sudong University, but no one had evidence. Hao builds momentum.

Hearing Wang Hao's name from Yang Yuan's mouth, Li Jianhua and his party had a sudden sense of "so it is".

However, they are still very surprised, because they know the difficulty.

The most important thing in the study of low-altitude flight dynamic wind pressure is to solve the problem of numerical balance, which will definitely involve very complicated partial differential equations.

This system of equations is more difficult than a single NS equation, and it is almost only possible to obtain approximate solutions by substituting numerical values.

There is no fixed solution to the system of equations, it can be said that there are countless solution groups.

It is unimaginably difficult to find a suitable unmarshalling solution. Usually, they can only demonstrate the data and then conduct experimental verification.

This will consume a lot of time and money, and it may not be possible to find a good data solution.

The people in the meeting room thought about it for a long time, and Li Jianhua suddenly asked, "Professor Wang Hao, you have already completed the analysis of the ns equation, right?"

"It's impossible!" There was an immediate negative.

Yang Yuan also shook his head, "I have paid close attention to the data. He should have his own method to obtain an approximate solution, and he can make the solution more approximate to the exact solution, or find a balance."

"I don't quite understand either. You can only ask him about this kind of thing."

"Anyway, Professor Wang Hao provided us with two sets of solutions, which is worth a thousand gold!" Yang Yuan shook his head with emotion.

Li Jianhua also nodded and said, "This kind of research is indeed worth a thousand dollars, and Professor Wang Hao must have spent a lot of energy."

When Yang Yuan heard this sentence, he was silent for a while and did not speak. The main reason was that Wang Hao's research speed was too fast. Even if he added the previous half month, it would definitely not exceed 20 days.

Twenty days, can you spend a lot of energy?

At this moment, Cui Xunnian came over suddenly, leaned into Yang Yuan's ear and was about to report in a low voice, when he heard Yang Yuan say openly, "Xunnian, if you have anything to say, just say it, it's all from your own people."

Li Jianhua and others also looked over.

Cui Xunnian said flatly, "That's right. I just received another four sets of approximate solutions from Professor Wang Hao. He also said that if you need more ungrouping, you can send a message. He will help to study it when he has time." .”

"..."

"..."

The meeting room was suddenly quiet.

After a long time, Li Jianhua broke the silence and corrected what he just said, "Professor Wang Hao, you are really a genius."

...

Wang Hao didn't know that the several approximate ungroups he studied would give such a big impetus to the research of Yang Yuan's team.

In fact, he only knew what research Cui Xunnian was doing, and he didn't know anything else at all. He had never participated in aerodynamic research-related demonstrations, let alone aircraft design projects. Not sure.

He was doing theoretical work, just finding approximate solutions to the equations.

Cui Xunnian's feedback seems to be that he is satisfied with the result.

That's it.

Now Wang Hao feels that he lacks inspiration, and he finds that the research on the NS equation is completely stuck.

【Task 1】

[Inspiration value: 40].

This task lasted for nearly a week, and the inspiration value did not increase at all. It was obviously a lack of inspiration and research direction.

"Looks like it's going to take a while." Wang Hao didn't think of a good way either. For tasks with S+ difficulty, every progress can be said to be a great achievement.

He hopes to make progress, but only if he finds a direction.

"Follow the situation, just take a break!" Wang Hao didn't really care too much. He had been busy a while ago and just needed to take a break.

He took it as a vacation for himself.

So for several days in a row, he stayed in the office of the complex building, watching movies, watching videos, watching the news, drinking coffee and tea, life is to cultivate sentiment.

Zhang Zhiqiang noticed Wang Hao's leisure, and he said strangely, "Aren't you very busy a while ago? You have been at the laboratory all the time, and I see that you even put up a 'Do Not Disturb' sign."

Wang Hao took a sip of his coffee and said, "I don't have much inspiration recently, I want to relax for a while."

"Yeah?"

Zhang Zhiqiang nodded and said, "That's fine. I'm too tired from being busy all the time. I also plan to take a break. The laboratory has already been built, so it's good to let students study there."

As he was talking, he suddenly remembered something, and immediately leaned over and whispered, "I discovered a very strange thing recently, didn't you notice it?"

"It's Luo Dayong and Zhu Ping. They don't seem right?"

"What's wrong?" Wang Hao asked.

"Didn't you notice? Luo Dayong hasn't talked about Zhu Ping recently, and I can't see Zhu Ping scolding Luo Dayong."

"Isn't it good to live in peace?"

"There must be something wrong." Zhang Zhiqiang said, "You may not have noticed that Luo Dayong's temperament has not changed. This guy seems to only target me."

"In the past, he always talked about Zhu Ping and occasionally me, but thinking about Zhu Ping, I think it's normal."

"Now...it seems to be only me. You don't understand that feeling, really, sometimes, I want to beat him up." Zhang Zhiqiang said shaking his head.

Wang Hao looked Zhang Zhiqiang up and down, thought about it and said, "You'd better not do it, your body is not Luo Dayong's opponent."

Zhang Zhiqiang's face turned black when he heard this.

does it matter

Wang Hao said, "Maybe the two are reconciled, or Luo Dayong is too afraid of Zhu Ping, it's not certain."

He shook his head and continued watching his movie.

Of course he knew what happened between Luo Dayong and Zhu Ping. It seemed that since Helen said those words before school started, Luo Dayong rarely messed with Zhu Ping again.

Luo Dayong didn't take the initiative to 'provoke', so Zhu Ping naturally had no reason to do it.

It probably involves the psychological problems of some men and women.

Wang Hao didn't care about it anymore.

He still enjoys life with peace of mind. The only thing he does is to engage in teaching work. As a teacher in a college, he certainly hopes to teach a bunch of geniuses.

In his spare time, Wang Hao also found Professor Wang Huanxin. He wanted Wang Huanxin to help him sort out papers on solving partial differential equations, so as to organize a professional book on solving partial differential equations.

This is Qiu Chengwen's suggestion.

Wang Hao also noticed that in the index of foreign papers, his paper "Solutions of Thirteen Classes of Partial Differential Equations" had a citation rate of more than 3,000 and a download volume of nearly 10,000.

For a mathematical paper, this is simply incredible data.

So Wang Hao thought about Qiu Chengwen's suggestion, and felt that a book in Chinese should indeed be published. Relevant domestic scholars can directly buy the book instead of downloading English papers to study by themselves.

Wang Huanxin was very excited when he heard Wang Hao's intention, "Well, you can find me, I have a lot of free time!"

"And I have also studied several of your papers on solving partial differential equations, and I have mastered the methods in them."

"I also think it's best to publish a book. This idea is great and it will definitely help many people."

Professor Wang Huanxin has reason to be happy.

When he was young, he realized that he had no talent in basic mathematics research, so he concentrated on teaching. However, anyone who serves as a university professor hopes to achieve certain results, not just reflected in teaching.

Now instead of researching the results by myself, I want to publish a professional book on partial differential equations.

Although it is just a ghostwriter, the book must have an author's name, and it can be said to be his book at that time.

This is equivalent to the honor and achievement handed over.

Of course.

It is definitely not easy to come up with a professional book. Even if there are papers as the basis, it will take at least a few months to research, organize, write some notes, and other explanations, etc.

However, Wang Huanxin was still very happy.

Wang Hao asked Wang Huanxin to help because Wang Huanxin's level is not bad, but he doesn't have much research mind, but there must be no problem with his foundation and understanding.

He had already contacted the publishing house in advance.

Because he has a certain reputation, the publishing house also gave a lot of profit. Whether he makes money or not is second, but he must not lose money.

Similar books are not afraid of piracy at all, and there will be no pirates who will print such professional books.

Ordinary people will not spend money on such professional books, and professional scholars are unlikely to buy pirated copies.

At that time, there will definitely be some universities and libraries ordering it, and some mathematicians will buy it specifically.

After talking about publishing the book, Wang Hao let go of his worries and continued to enjoy his life.

Teaching students is a very interesting thing.

He would set aside a period of time every day to go to the Mason Mathematical Science Laboratory, and students would come to ask questions.

Among the graduate students in mathematics, the one who asked more questions was Xu Jie. He always had some questions about basic mathematics knowledge.

Of course, speaking of basics, compared to postgraduate and doctoral level, the questions asked by Xu Jie are not directly answerable.

Sometimes, it will make Wang Hao think for a while before he can give an answer.

Among the other three, Helen asked fewer questions, but the content was a bit of a headache, and she didn't know how to ask some basic questions.

For example, in some courses, even if it is difficult to solve the questions, she will not ask them, but she will think and solve them by herself.

She asks weird questions like, "Is Einstein's theory of relativity right? What happens if a particle travels faster than the speed of light?"

She enjoys discussing these kinds of questions.

Ordinary people may be considered 'ignorant' if they ask these questions, but obviously they cannot convince Helen with such words, because Helen can use mathematical language to explain some problems, and even arouse Wang Hao's thinking.

The follow-up of the discussion between the two fell into a strange circle of philosophy every time.

After discussing many issues with Helen, Wang Hao even felt that he should study philosophy, which might bring more inspiration to his research.

Chen Mengmeng is the most likable, she occasionally has something she doesn't understand, but she is the kind of very smart student who can figure out a problem just by clicking on it.

This gave Wang Hao a sense of accomplishment in teaching students.

The only one who was not active was Qiu Hui'an. He had almost no problems. When he came to the work room of the laboratory, he just stayed in his position. Most of the time he was studying and thinking silently, and he didn't know what he was doing.

Today, Wang Hao found out.

While he was reading the news in the office, Qiu Hui'an walked in with a stack of materials.

"Mr. Wang, I have a problem that I have been unable to figure out. I want you to point me in a direction." Qiu Hui'an said as he put the information on the table.

"Tell me."

"I'm studying Legendre's conjecture." Wang Hao was shocked by Qiu Hui'an's words.

Of course he knew the Legendre conjecture.

Legendre's conjecture is a well-known conjecture related to number theory, and its content is also very simple. It says that for any natural number n, there exists at least one prime number p between the square of n and the square of (n+1).

This conjecture sounds simple, but it is too difficult to prove it. Most people can't even find the direction.

"Tell me what you think." Wang Hao suddenly became interested.

Qiu Hui'an seemed a little embarrassed. He said, "I have studied your papers on Mersenne primes and Artin's conjecture. I still don't understand a small part of them, but most of them I understand."

Wang Hao nodded his head, and his evaluation of Qiu Hui'an immediately went up to a new level. He didn't expect the "ordinary" Qiu Hui'an to reach such a point. He studied his thesis and was able to read Knowing most of the content is really remarkable for a graduate level.

Qiu Hui'an continued, "I am very interested in number theory, especially the study of prime numbers."

"I used your method of demonstrating Mersenne prime numbers to study the Bertrand-Chebyshev theorem, and then hope to further demonstrate the Legendre conjecture."

"But I ran into a problem. Your argument and analysis method for Mersenne primes can indeed cover the Legendre conjecture, but it can only be covered, not a detailed proof."

"So I want to find a new direction and method, combining analysis and argumentation to do research."

After Qiu Hui'an finished speaking, he looked expectantly at Wang Hao.

Wang Hao thought carefully about Qiu Hui'an's words. Studying the Legendre conjecture with the Mersenne prime argument method can indeed achieve coverage, but at the same time it is indeed impossible to achieve a detailed proof.

Because of his method of demonstrating Mersenne primes, even Mersenne primes are not fully covered.

But combining other means is not the same.

Wang Hao thought about it and said, "In this regard, I don't have a definite answer, I can only give you a few ideas and suggestions."

"The first is that as long as you use the method of functional analysis or other similar analysis methods, you can only do coverage research, but not detailed demonstrations."

"Secondly, you can consider other directions. There are many ways to study number theory, such as the study of prime numbers and the most basic sieve method. You can look at Mr. Chen Jingrun's proof of Goldbach's conjecture."

"Also, on assembly..."

When Wang Hao said this, a flash of inspiration suddenly appeared in his mind.

Qiu Hui'an also said at the same time, "Yes, group theory! Maybe this direction will help?"

In fact, Wang Hao just wanted to talk about collections, but he directly thought of 'group theory'. He immediately realized that it was the effect of "The Gift of Scientific Research" and the inspiration provided by Qiu Hui'an.

Qiu Hui'an's reaction also explained the situation.

Wang Hao nodded with a smile, "I think the method of group theory may be helpful to your research."

Qiu Hui'an was obviously very happy, "Thank you, Mr. Wang, I will study it right away."

He walked out thinking.

Wang Hao was also lost in thought. It was the effect of "The Gift of Scientific Research" just now, which brought a four-fold inspiration bonus, but it also showed that Qiu Hui'an was indeed very thoughtful.

group theory?

Working on the prime number problem...

Wang Hao thought about it and felt that this was a very good idea.

Group theory is a mathematical method for the study of groups, and its importance is mainly reflected in abstract algebra.

In the field of abstract algebra, algebraic structures such as rings, fields, and modules can all be seen to be formed by adding operations and axioms on the basis of groups.

It is very novel to use group theory to study number theory and prime numbers.

The most important thing is that the inspiration just now proved that this is a feasible method. Since it is feasible to study the Legendre conjecture, it can naturally be used to study other mathematical problems related to prime numbers.

Wang Hao immediately thought of a famous number theory conjecture - Goldbach's conjecture.

Most mathematicians have considered the Goldbach conjecture problem, because this conjecture is very simple to understand, and it sounds like solving a simple problem.

But when I think deeply, I find that most of the thinking is useless.

"If you use the method of group theory to study prime numbers and study the conceptual properties of prime numbers, can it be understood that you have solved the mystery of prime numbers?"

"So how do you combine group theory and prime numbers?"

"Riemann's conjecture or Zhou's conjecture may be able to be studied with the method of group theory, but this kind of research has an end point, and it is unlikely to be proved."

"Like Goldbach's conjecture, it's hard to connect..."

"this……"

Wang Hao hesitated after thinking. He felt that he had found a direction to study number theory.

But the problem is...

The number of tasks is not enough.

'Task 1' is the study of the NS equation, 'Task 3' is the study of annihilation force, and there is only one 'Task 2' left, which is reserved for the daily mini-research.

The study of prime numbers is not a small study, and he is determined to study the famous number theory conjecture.

Wang Hao hesitated for a long time, and finally made up his mind, "If you give up the mission, you will lose some teaching coins!"

Create tasks -

【Task 2】

【R\u0026D Project Name: Proof of Goldbach's Conjecture (Difficulty: S.)】

[Consuming teaching coins can increase the probability of obtaining inspiration points related to it within a certain period of time. 】

[Inspiration value: 0. 】

[The accumulation of inspiration points reaches 100 points, which can be consumed at one time to assist in obtaining the original relevant inspiration and knowledge. 】

[Complete the S-level difficulty research, and get an additional amount of teaching coins for each item: 3000. 】

[Task settlement, get teaching currency rewards. 】

"..."

"Goldbach conjectures that there are only S grades?"

Tomorrow and the day after tomorrow, if there is something at home, I will be busy doing a group. If I don’t have time during the day, it will be difficult to update the 4D. I can only promise that when the time comes, I will spend more time staying up late.

I would like to make a confession in advance to the readers!

sorry!