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

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

For example, in the derivation process, a probabilistic method is used, and the final result is definitely inaccurate if the derivation is analyzed by the probabilistic method.

As a result, some Mersen numbers may be Mersenne primes in the area delineated 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 probably, and to rely on mathematical methods to achieve the purpose of direct application, and the effect will be very significant.

They can relate to a lot of applications.

For example, in particle collision physics experiments, the purpose of finding singularities is to find different points, and it does not need rigorous proof, as long as it is found, it is a great achievement.

It may also be used in astronomy, and in a large number of complex data, mathematical calculations are used to find special points, and special discoveries may be made.

Wait a minute.

This method of using non-rigorous mathematics to skillfully derive columns and functions may be very promising in applied research.

A lot of people feel that they have gained a lot.

Wang Hao's harvest is even greater, the "prime number distribution probability research" has increased by nearly 30 inspiration values, and the research can be said to have reached the stage where it is only a foot in the door.

In addition, he found the relevance of his research and teaching content.

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

"There can be many ways to solve a problem, including finding Mersenne primes, and other studies, there can be many ways to solve it."

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

Luo Dayong's 'graph isomorphism problem' is the same, he went to a class of "Nonlinear Functional Analysis" and found a solution that started with the domain method of functional analysis.

After Wang Hao finished the report, he thought about a lot of things in his head.

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

"Bang Bang Bang~~"

The conference room burst into warm applause, and every scholar who came to listen to the report felt that they had benefited a lot.

Wang Hao walked off the stage and shook hands with everyone who came over, and also got a lot of praise, "It's really young and promising!" Your research has really opened my eyes, and it turns out that some non-rigorous mathematical methods can still have such an effect. ”

"The first time I saw the use of probability in a derivation function, it was an eye-opener!"

"Wonderful, so wonderful, after listening to your report, it's worth the trip!"

Wang Hao responded to everyone with a smile.

After the presentation on the Mason prime, everyone walked out of the room, and after a short break, some left early, they still had their work to do.

For those scholars from other regions, there is nothing to do.

The people from the Center for Mathematical Sciences were invited to take them on a tour of the campus of Mizuki University.

Mizuki University is a famous attraction, and the campus is still worth a visit, with many classic and famous buildings, full of history and culture.

Wang Hao and Pan Weiguo walked behind the crowd together.

They talked all the time.

Pan Weiguo really has infinite emotion in his heart, recalling that more than a year ago, Wang Hao was still a doctoral student under him, and he patiently guided him to complete his doctoral dissertation.

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

At that time, I definitely didn't think that so many things would happen in a year, first of all, Wang Hao stayed in school and participated in the project of the alloy laboratory of Donggang University, and he was suddenly dismissed after only three months.

Later, when I learned that Wang Hao was invited by Zhou Qingyuan to go to Xihai University, I began to hear that he had completed research one by one, and even occasionally saw his news on the news.

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

At first, I was pleased because he always thought that Wang Hao was very good, and some of his ideas during his doctoral studies were always surprising.

The later incredible thing is that the results are too many and too big.

Fourier transform assists in constructing mathematical models?

New multiplication algorithm for large numbers?.

Regularity proof of the Monge-Ampère equation?

Atin Constant Existence and Bounded Argument?

Merson Prime ......

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

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

Pan Weiguo asked with a wry smile and a long sigh, "You just finished the study of Mersenne primes, do you have any plans for the next step?" Do you have any ideas for the study of the probability of prime number distribution? ”

He knew that Wang Hao had applied for the Outstanding Young Scientist Fund.

Wang Hao nodded and said, "I already have a new research direction, which is a new mathematical method, and I hope that through this mathematical method, I can solve those proof problems that make numbers 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', and I don't know what it means.

Pan Weiguo was different, he immediately reacted, "Kakutani guess? ”

Wang Hao nodded lightly, shook his head again, and said, "Not only the Kakutani conjecture, but also 3X+2, 3X+3, or palindrome conjecture, etc., there are many similar questions." ”

"I wanted to work on a new mathematical approach to this kind of problem."

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

Kakutani conjecture has many names.

Amriken calls the problem the 'hail conjecture' because following the problem is calculated and the graph is made like a hailstone.

The international conference called it the 'Kratz problem or the 3X+1 problem' because the mathematician Kratz proposed this problem at a formal meeting 70 years ago.

Many scholars in China call it the Kakutani conjecture because this problem was transmitted to China by a Japanese mathematician named Kakutani.

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

No matter what number N is, it will eventually be impossible to escape to the bottom and be classified as the number 1.

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

There are many similar problems in mathematics, which are to change the number by a disadvantage, and then keep looping, either increasing all the time, or decreasing all the time, or increasing and decreasing at the same time.

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 when he heard this was that this kind of research was impossible, and if it was a year ago, he would definitely just say, "Stop, don't waste time on this impossible research." ”

Now Pan Weiguo can't say it, because Wang Hao has a lot of achievements, and they are all very influential content.

Now they are not in the same school, at most they can only be said to be former mentors and students, or friends.

Pan Weiguo had no way to open his mouth to ask Wang Hao to stop studying, he thought for a long time, and carefully organized the language, "Wang Hao! ”

"I think we should not drill into the horns of the horns when doing research, like some difficult or even impossible research, we should have the mentality of going with the flow."

"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.

O young man!

I have just completed several achievements, and there will definitely be a momentum, but I didn't expect Wang Hao to nod in compliance, "Yes, I think so too, it's better to go with the flow of this kind of research." ”

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

He nodded with satisfaction, "That's the way to go." ”

……

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

At about four o'clock in the afternoon, he saw the car coming at the door of the hotel, so he got in the car and went to the Institute of Aeronautical Materials.

Cao Dongming and a few others were already waiting at the door.

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

"Welcome, welcome!"

"Professor Wang Hao, you are very welcome, I heard from Professor Cao, you are very researched in the field of data mining for materials research."

"I know you on the news, and they all say you're a star in math......"

A few flattering words came out, but it made the scene more lively.

After some introduction, Wang Hao learned that most of them were researchers in Cao Dongming's project.

They entered the gate together, and the group took a tour of the Institute of Aeronautical Materials.

In the process of visiting, it can be found that the Institute of Aeronautical Materials does not attach importance to Wang Hao's arrival, and people from other projects or departments, when they are introduced, just say hello to Wang Hao, and then continue to do the work at hand, and even continue to chat with other people, and do not particularly care at all.

Actually, this is also quite normal.

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

The Institute of Aeronautical Materials is too big, and there are too many experts and scholars in it, and there are many experts like Cao Dongming, all of whom are second to none in a certain field of research.

In terms of professional titles, Cao Dongming is already the top professor, but there are six academicians in the Institute of Aeronautical Materials, and more than 100 well-known materials experts and academic leaders.

In such a huge material research institution, even the best experts will become very 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 enthusiasm of others was not high.

A big reason is that Wang Hao is a mathematical computer expert, but he is not a well-known data mining expert, and it seems that he has nothing to do with material research.

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

Their impression of Wang Hao is still that of a young mathematics professor, very talented, and reportedly a potential future Fields winner.

But so what?

This has nothing to do with aeronautical materials research.

Some people even feel that Cao Dongming invited Wang Hao to do a report on data mining, feeling a little lost his mind and mind.

Mathematics and data mining are not the same field!

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

Isn't this the same as a layman lecturing an insider?

Because of this, many people see Wang Hao, either they don't know, and they only know that they are surprised, only Cao Dongming and the researchers in his project are very enthusiastic about Wang Hao.

Wang Hao didn't feel anything.

The world does not revolve around him alone, such a large aeronautical materials institute, it is impossible for everyone to be very enthusiastic about him, and other normal and polite people make him feel very natural.

Under the hospitality of Cao Dongming and his entourage, Wang Hao visited the two largest buildings of the Aviation Research Institute all the way, and also went to the back aviation equipment room to take a look.

Cao Dong is very enthusiastic about Wang Hao.

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

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

That's a tough question to answer.

Wang Hao thought about it carefully, thought about it and said, "All alloy materials research and development...... It's difficult, I'm a layman and I don't understand the research and development of alloy materials. ”

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

He was a little unsure.

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

[Task 1]

[Research Project Title: General Method for Experimental Data Analysis of β-type Titanium Alloy R&D (R&D Difficulty: B.)] 】

[Inspiration value: 0.] 】

Sure enough!