From University Lecturer to Chief Academician

The scholars in the conference room were very tired from listening, but they insisted on listening to the end, because they found that the method of shaping functions taught by Wang Hao was very ingenious.

Many ideas and methods in it are not formal, and they can be said to be in the wrong direction when placed in a rigorous mathematical system.

For example, in the derivation process, a probabilistic method is used to analyze and deduce with a probabilistic method, and the final result must be inaccurate.

This also leads to the fact that some Mersenne numbers may be Mersenne primes in the area defined by the decision function, but there is a high probability that they are not Mersenne primes.

However, the purpose of deriving the function is not to make a perfect proof, but to find the Mersenne prime number more likely. It relies on mathematical methods to achieve the purpose of direct application, and the effect will be very significant.

They can use this to associate problems in many application fields.

For example, the purpose of searching for singularities in particle collision physics experiments is to find different points, and there is no need for rigorous proofs, as long as they are found, it will be a great achievement.

It may also be used in astronomy. In a large amount of complicated data, use mathematical calculations to find special points, and special discoveries may be made.

etc.

This method of ingeniously deriving columns and functions by using imprecise mathematics may have great prospects in applied research.

Many people feel that they have gained a lot.

Wang Hao's harvest was even greater. "Prime Number Distribution Probability Research" increased nearly 30 inspiration points. It can be said that the research has reached the stage where it is only a step away.

Additionally, he found relevance in his research and teaching content.

Because some inspirations were discovered in class, including functional analysis and probability theory, which are directly related to the analysis of probability, so the research process he made will also have certain relevance.

"There may be many ways to solve a problem, including finding Mersenne prime numbers, as well as other research, there may be many ways to solve it."

"The teaching content is directly related to the direction of inspiration and the solution to the problem."

The same is true for Luo Dayong's "graph isomorphism problem". He went to a class of "Nonlinear Functional Analysis" and found a solution that started with the method in the field of functional analysis.

After Wang Hao finished the report, he thought about many things in his mind.

He explained the function and the process of shaping the function very carefully. Then he just answered two small questions, and the report ended.

"Papa papa~~"

There was warm applause in the meeting room, and every scholar who came to listen to the report felt that he had benefited a lot.

Wang Hao stepped down from the stage to shake hands with everyone who came, and he also received a lot of praise, "You are so young and promising! Your research really opened my eyes. It turns out that some imprecise mathematical methods can still have such results. effect."

"It was the first time I saw the use of probability methods in deriving functions, and it felt like an eye-opener!"

"Wonderful, so wonderful, after listening to your report, this trip is worthwhile!"

Wang Hao responded to everyone with a smile.

After the report on Mersenne prime numbers was over, everyone walked out of the conference room. After a short break, some people left early because they still had their own work to do.

Those scholars from other regions have nothing to do.

The people from the Mathematical Sciences Center invited them to visit the campus of Mizuki University.

Shuimu University can be said to be a famous scenic spot. The campus is still worth visiting. There are many classic and famous buildings, full of historical and cultural heritage.

Wang Hao and Pan Weiguo walked behind the crowd together.

They kept talking.

Pan Weiguo really had infinite emotions in his heart. Looking back more than a year ago, Wang Hao was still a doctoral student under him, and he patiently guided him to complete his doctoral thesis.

In a blink of an eye, a year has passed.

At that time, it must have been unexpected that so many things would happen in one year. First, Wang Hao stayed in school and participated in the project of the alloy laboratory of Donggang University. After only three months, he was suddenly dismissed.

Later, knowing that Wang Hao was invited by Zhou Qingyuan to go to Xihai University, he began to hear that he completed research one by one, and even occasionally saw news about him on the news.

Pan Weiguo always felt very relieved whenever he saw Wang Hao's news on the news, and later he felt very incredible.

The initial gratification was because he always believed that Wang Hao was very good, and some ideas during his Ph.D. studies were always surprising. It is normal for Xihai University to devote himself to research and produce results.

Later, the unbelievable was because the results were too many and too big.

Fourier transform aids in the construction of mathematical models?

New algorithm for multiplying large numbers? .

Proof of regularity for the Monge-Ampere equation?

The existence and boundedness argument of Artin's constant?

Mersenne primes...

Pan Weiguo felt very shocked when he thought that these studies belonged to Wang Hao, and they were completed in just over half a year.

Wang Hao's genius has far exceeded his expectations. After only one year, even he himself has been left behind.

Pan Weiguo asked with a long sigh with a wry smile, "You have just completed the research on Mersenne prime numbers. Do you have any plans for the next step? Research on the probability of prime number distribution, do you have any specific ideas?"

He knew that Wang Hao had applied for the Outstanding Youth Science Fund.

Wang Hao nodded and said, "I already have a new research direction, which is a new mathematical method. I hope to use this mathematical method to solve those proof problems that allow numbers to increase or decrease infinitely through fixed calculations."

He and Cao Dongming also said similar things, but Cao Dongming patted him on the shoulder and said 'Come on', but he didn't know what it meant.

Pan Weiguo was different, he immediately realized, "Jiaogu's conjecture?"

Wang Hao nodded lightly, then shook his head and said, "Not only the Kakutani conjecture, but also 3X+2, 3X+3, or palindromic conjectures, etc. There are many similar questions."

"I want to study a new mathematical method to solve this type of problem."

This type of problem contains many contents, and the Kakutani conjecture is just one of them, and it can also be said to be the most classic problem among them.

The Kakutani conjecture has many names.

American called the problem the "Hail Conjecture" because the calculations made along the problem are like hailstones.

The international regular conference is called the "Kratz problem or 3X+1 problem" because the mathematician Kratz raised this problem at a formal conference seventy years ago.

Many scholars in China call it the Kakuya conjecture, because this problem was introduced to China by a Japanese mathematician named Kakuya.

The content of Kakutani's conjecture is also very easy to understand - write a positive integer N at will, and transform it according to the following rules: if it is an odd number, the next step becomes 3N+1; if it is an even number, the next step becomes N/ 2.

No matter what number N is, it cannot escape to the bottom in the end and is classified as number 1.

This belongs to the problem of calculating the number through a column, increasing and decreasing to explore the final number.

There are many similar problems in mathematics, all of which change the number through a disadvantage, and then continue to cycle, or increase or decrease, or increase and decrease in parallel.

Pan Weiguo naturally understood what Wang Hao was talking about, and because of this, he knew how difficult the research was.

It can even be said that it is impossible...

Pan Weiguo's first reaction was that this kind of research was impossible to complete. If it had been a year ago, he would have said directly, "Pause, don't waste time on this impossible research."

Now Pan Weiguo can't tell, because Wang Hao's achievements are many, and they are all very influential.

Now they are not in the same school, at most it can only be said that it is a relationship between a former tutor and a student, or a friend.

Pan Weiguo had no way to ask Wang Hao to stop his research. He thought for a long time, carefully organized his words, "Wang Hao!"

"I think, we don't want to dig into the horns when we do research, like some difficult or even impossible research, we should have the mentality of being happy with the situation."

"It's best if there is progress, and it doesn't matter if there is no progress."

Pan Weiguo felt that Wang Hao would definitely not listen to his persuasion.

young man!

Having just completed several achievements, there will definitely be a surge of enthusiasm, but unexpectedly Wang Hao nodded in obedience, "Yes, I think so too. It's better to go with the flow for this kind of research."

Pan Weiguo felt relieved immediately, he felt that his persuasion was effective, and Wang Hao still attached great importance to his words.

He nodded in satisfaction, "It's just to have such a mentality."

...

Wang Hao and Pan Weiguo had lunch together, and then went to the hotel room to rest.

At four o'clock in the afternoon, he saw the pick-up car at the entrance of the hotel, got on the car and went to the Aeronautical Materials Institute.

Cao Dongming and several others were already waiting at the door.

Wang Hao got out of the car and shook hands with several people one by one.

"welcome!"

"Professor Wang Hao, you are very welcome. I heard from Professor Cao that you have a lot of research in the field of data mining in materials research."

"I met you on the news, they said you were a star in mathematics..."

Saying a few compliments made the scene more lively.

After some introductions, Wang Hao knew that most of them were researchers in the project that Cao Dongming was in charge of.

They entered the gate together, and the group took them to visit the Aeronautical Materials Institute.

During the visit, it can be found that the Institute of Aeronautical Materials does not pay much attention to Wang Hao's arrival. When people from other projects or departments are introduced, they just greet Wang Hao politely, and then continue to work on their own tasks. work, and some even continued to chat with other people without paying special attention at all.

In fact, this is also very normal.

Wang Hao was invited by Cao Dongming. Cao Dongming is indeed a leading figure in the field of titanium alloys, but in the entire Institute of Aeronautical Materials, he can only be called a personal figure.

The Institute of Aeronautical Materials is really too big, and there are too many experts and scholars in it. There are many experts like Cao Dongming, all of whom are leading figures in a certain field of research.

In terms of professional title level, Cao Dongming is already the top professor, but the Academy of Aeronautical Materials has six academicians, and more than 100 well-known materials experts and academic leaders.

In such a huge material research institution, even the best experts will become ordinary.

In fact, Cao Dongming invited Wang Hao to give a report, and he also told other people, including the heads of several project teams, as well as two resident aviation academicians, but the response from others was not high.

There is a big reason that Wang Hao is a mathematical computer expert, but not a well-known data mining expert, which seems to have nothing to do with material research.

The project done by Peng Hui's team has been classified as a major secret. Others don't know how big the results are, and how much Wang Hao's personal contribution to research and development is.

Their impression of Wang Hao is still just a young mathematics professor, very talented, and it is reported that he may be a future Fields winner.

But so what?

This has nothing to do with aerospace materials research.

Some people even felt that Cao Dongming invited Wang Hao to give a report on data mining, feeling a little out of his mind and out of his mind.

Mathematics and data mining are not the same field!

Cao Dongming said that Wang Hao is a data mining expert, but the Institute of Aeronautical Materials has several experts in the field of data mining, and they still focus on material calculation and material experiment data analysis.

Isn't this the same as laymen giving lectures to experts?

Because of this, many people either didn’t know about Wang Hao, or they were just surprised when they saw Wang Hao. Only Cao Dongming and the researchers in his project were very enthusiastic about Wang Hao.

Wang Hao didn't feel anything.

The world doesn't revolve around him alone. In such a big Aeronautical Materials Academy, it is impossible for everyone to be very enthusiastic about him. Others who are normally polite make him feel very natural.

Under the hospitality of Cao Dongming and his group, Wang Hao visited the two largest buildings of the Aeronautical Research Institute all the way, and also went to the aviation equipment room at the back to have a look. There are many materials and equipment for aviation, and this is the first time he has heard of them. , The first time I saw it, I felt that it was not in vain, which was an eye-opener.

Cao Dongming is indeed very warm to Wang Hao.

While walking and talking, he kept talking about data mining-related topics, and then asked Wang Haodao, "The research on titanium alloys and the analysis of experimental data for each project can be said to be a new research."

"Professor Wang Hao, you are an expert in this field. In your opinion, can there be a general analysis method that can be used in the research and development of all alloy materials?"

This question is really a bit difficult to answer.

Wang Hao thought about it carefully, and said thoughtfully, "All the research and development of alloy materials...is it difficult, I am a layman in the research and development of alloy materials, and I don't know much about it."

"If it's just the research and development of β-type titanium alloy, I know a little bit, maybe it can be done..."

He was a little unsure.

Wang Hao felt that Cao Dongming's idea was very good, so he simply opened the system and created a task--

【Task 1】

【Research project name: A general method for data analysis of β-type titanium alloy R\u0026D experiments (R\u0026D difficulty: B). 】

[Inspiration value: 0. 】

Sure enough!