If an ordinary scholar says that he is not interested in mathematics, Du Haibin and others at the Institute of Mathematics will definitely sarcastically say, "If you don't have enough IQ and don't have mathematics, what kind of research can you do because you are not interested in mathematics?" It's because I don't understand it.
Mathematics is a subject at the top of the academic pyramid.
They are top scholars in the field of mathematics and have every reason to be proud of them. If it were Wang Hao...
Du Haibin and others only felt very depressed, just like seeing the top rich people say "not interested in money". Everyone cares about money very much.
But do the top wealthy people care?
Maybe people really don't care, because money is just a number to the other person. "So, mathematics is a tool."
"At least for Academician Wang Hao, this is indeed the case. He is more interested in physics, and perfecting the annihilation theory is the most important thing."
"It's true!" The other side.
Wang Hao didn't have any special ideas. After he put down the phone, he just shook his head silently.
People from the Institute of Mathematics came to ask about the research direction of "higher-order particle functions," but they may have misunderstood. Even if they are the shapers of functions, it is difficult to give a clear direction.
Andrew Wiles summed it up well.
In the direction of pure mathematics, proving 'the validity of a single prime number pair node for all prime numbers' and demonstrating the number of prime number pair nodes' are both good directions.
But obviously every direction is very difficult, just like proving the infinite number of Mersenne primes, or the 'twin prime conjecture'. The difficulty of both directions is no less than a top mathematical conjecture.
Of course, it was precisely because of this that people from the Institute of Mathematics called to inquire. "But where is there any 'easy research' direction..."
Wang Hao smiled bitterly and shook his head.
Du Haibin understood one thing correctly. He really didn't care about the results of research related to higher-order mass point equations. What he cared about was only the content related to mass point shaping.
This is actually easy to understand.
Just like Yang Zhenning and Mills, who together created the Yang-Mills equation, would they care about other people's research on the Yang-Mills equation and achieve top results in the near future, or even win the Nobel Prize?
Of course I don't care.
Being able to win several Fields and Nobel Prizes for the research on the functions or equations that you have created naturally proves the great significance of the function or equation. To a certain extent, it is equivalent to the affirmation of the function or equation.
Wang Hao hopes that more people will participate in research, and it would be better to have more valuable results.
After putting down the phone, Wang Hao logged into his personal mailbox and saw many emails from domestic and foreign scholars. He still responded politely. When he encountered content discussing higher-order particle functions, he would also think about writing Some personal thoughts. etc.
The shaping of higher-order particle functions and the discovery of the second group of 'prime number pairs' have indeed promoted the influence of functions and made Wang Hao busy.
If he were an ordinary scholar, he would no longer be busy answering phone calls and answering emails. Instead, he would probably have various people visiting him, and he would be busy with receptions, invitations and other matters every day.
fine....
Wang Hao has long passed the 'ordinary' stage. Even with top results, few people come to disturb him. Of course, there are interruptions.
The release of higher-order particle functions brought public opinion and huge academic influence, and also attracted many reporters to come for interviews. Officials from the school, the city, and the Ministry of Science and Technology all asked Wang Hao if he had been interviewed to talk about higher-order mass point functions. After all, his influence was too great.
In the end, Wang Hao agreed. He went to the decorated small conference room and accepted brief interviews with several major media. Reporters have been waiting for a long time.
Naturally, they would not make things difficult for Wang Hao. They just wanted him to talk about higher-order particle functions or say something freely.
Wang Hao thought about it and said, "Now my main direction is to shape mass points. Mass points can be understood as matter or particles.
The unit composed of sub-units has the characteristic of being annihilated when it appears alone, which is the basis of the annihilation theory. "
"Higher-order mass point functions are shaped in the process of constructing mass points."
"But I personally did not expect that this function can contain so many prime points, which also reflects the value of mathematical foundation and numerical research."
"Because there is no definite proof, it is difficult to say that the properties of higher-order particle functions are absolute. So far, it is just like some reports, which are just conjectures."
"Now you are here for an interview. Some friends have also come to ask me before. In fact, the meaning is the same. They all want me to express some personal understanding of functions..."
Wang Hao said with a smile, "Actually, I am the same as everyone else. All the content is already in the paper. I don't understand more about higher-order particle equations."
"Shaping the equation does not mean understanding the full meaning, otherwise there would be no conjectures."
Wang Hao said sincerely, "I am very happy that the equation I created has received such major attention." "However, I personally pay more attention to its physical significance, which is to help solve the problem of mass point shaping."
"This is the direction I care about most." --
Wang Hao was interviewed publicly and said that his understanding of functions was no better than others, but it relieved him a lot of trouble.
For example, few scholars call me to ask questions about higher-order particle functions. It also makes life a little quieter.
A few days later.
There was unexpected but still surprising news. The computer team at Stanford University used the Quange computer to discover the third prime number pair node.
The two numbers of the third prime number pair node, one is a four-digit number and the other is a five-digit number, which greatly increases the number of prime numbers pairing the node.
Obviously.
If you later want to use the 'covering method' to find prime number pairs, the difficulty will increase exponentially.
"We have reached the limit of our work and it is difficult to continue," said Terro Canero, a computer engineer on the team.
"It's actually like looking for Mersenne primes. If you want to find the next set of prime number pairs, you need to use a distributed network to share computer processing power with interested friends around the world."
"But computers can only produce results, not perfect proofs or inferences." "Research on prime number nodes still requires mathematicians to think..." "Our work can only go so far."
What Taylor-Canniero said about "working to the limit" is the cost issue. Using the world's top supercomputers is very expensive. It is only for a pure mathematical research, and there is obviously no return at all.
But there is nothing wrong with what Taylor-Canniero said. There is not much difference between finding the third set of prime number pairs and finding the fourth set of prime number pairs. In terms of mathematical contribution, it will cost a high price to find another set or two. Group doesn't make much sense.
This is also true.
Wang Hao learned about the third group of prime number pair nodes while having lunch, but the inspiration value only increased symbolically by '1' point. If he finds the next group next, it may not bring any results. Improvement of inspiration value.
If you really want to improve, you can't find the pattern of prime numbers pairing nodes. That must be another 'S++' level research.
This also made Wang Hao feel very distressed. He could only sigh to Zhang Zhiqiang who came to report, "Research is too difficult and I can't find the direction!"
Zhang Zhiqiang was stunned for a moment and asked, "You mean quality point shaping?" "Yes."
"I think......"
Zhang Zhiqiang held his chin, as if he was thinking carefully, and then said, "Well... how about changing your thinking." "What kind of thinking?"
"Look for someone else!" Zhang Zhiqiang said, "I may be wrong, just listen. If I encounter any problems and can't figure it out, I'll ask others, for example, you."
"Ask someone else?"
"Of course, other people will definitely not be able to answer your kind of research, but you can also give it a try. Let's
If others think about it, they may have some good ideas. "
"That's right..."
"There is another way, read more about other content." Zhang Zhiqiang said, "Stones from other mountains can attack jade!"
What Zhang Zhiqiang said does make sense.
Wang Hao has already tried asking everyone to "brainstorm", but at most they have made progress in mathematics. What he hopes to get is inspiration related to mass point shaping.
In this regard... can rocks from other mountains attack jade?
Wang Hao thought about it and suddenly had an idea. The reason why he could not directly connect the higher-order particle function and mass point shaping was mainly because he did not fully understand the higher-order particle function.
In addition, the research is not thorough.
The study of higher-order particle functions is very difficult in itself, and may have reached the level of 'mathematical conjecture of the century'. I don't know how long it will take to wait for relevant research to be fruitful.
Maybe, ten years? a hundred years? Hundreds of years? This is not surprising at all.
Some mathematical conjectures have not been solved for hundreds of years. Just waiting for the research results is no different from giving up.
Then there are only two ways to go, either he does his own research, or he has a better understanding of higher-order particle functions. "Should we re-examine the process of shaping higher-order particle functions?"
"Although a paper has been published, it is only a derivation process. Why do you deduct it like that?" "This is a question."
In the process of shaping higher-order particle functions, some parts can be understood, but at the beginning, only knowing the 'correct direction' also led to some parts not being understood at first.
If you analyze the shaping process, you may have some ideas, and the analysis process must undoubtedly trace back to the origin - the Riemann function.
After Wang Hao returned to the office, he quickly found a lot of information related to the Riemann Hypothesis. Some were partial arguments, ideas, and simple derivation papers of the Riemann Hypothesis, and some were mathematics derived based on the Riemann Hypothesis. content.
There is a lot of information on the latter.
The Riemann Hypothesis is just a conjecture, but its mathematical significance is very important. In today's mathematical literature, there are more than a thousand mathematical propositions based on the establishment of the Riemann Hypothesis (or its generalized form).
At the same time, the Riemann Hypothesis and Fermat's Last Theorem have become the carrier of M-theory geometric topology that integrates general relativity and quantum mechanics.
After finding all kinds of information, Wang Hao was ready to enter the ocean of mathematics, slowly read the information to understand and learn, and supplement the knowledge base that his brain lacked.
Then he suddenly thought of Ding Zhiqiang and Qiu Hui'an.
Now there are only two students under his command. Qiu Hui'an is relatively better and has clearly found a direction. Ding Zhiqiang still has not found a direction and does not know what to write for his doctoral thesis.
He thought about it carefully, then called the two of them over and said to Ding Zhiqiang, "Zhiqiang, I have already thought of what you want to study."
"What?"
Ding Zhiqiang suddenly became energetic.
The doctoral thesis is related to graduation, but all the previous ideas were rejected. When Wang Hao said that he thought about the content of the thesis, he was very much looking forward to it.
Wang Haodao said, "Higher-order particle functions are my research. Do you know the three questions mentioned by Andrew Wiles?" "...I know." Ding Zhiqiang's face darkened.
Of course he knew the three questions mentioned by Andrew Wiles. Whether it was the first two big questions or the question Wiles raised himself later, they were definitely 'cross-world problems.
"Teacher Wang, you don't want me to..." Ding Zhiqiang felt that he would never be able to graduate in his next life.
Wang Hao shook his head and said, "Of course not. Your main subject is algebraic geometry. Based on the plane function after substituting the '5' and 17' pairs of nodes, you study its algebraic geometry properties."
This research is very important.
After the higher-order mass point function is substituted into the pair node, it becomes a plane function. Studying its characteristics may be directly related to the mass point construction, and it is also very meaningful mathematically.
Ding Zhiqiang was stunned immediately.
Of course he knows what it means. He has participated in the verification of prime numbers at the beginning of the study of nodes, has studied the functions after substitution, and has also done a series of analysis.
Because of this, he was well aware of how difficult it was to study the algebraic geometric properties of functions.
Although it is not as good as the conjecture of the century, it can definitely easily enter the four top journals. With the influence of high-order particle functions, can it also win mathematics awards?
Damn...
Ding Zhiqiang almost wanted to curse.
Fortunately, Wang Hao then said, "I'm not asking you to do your own research. If there's anything you can't solve, I'll help you think about it."
"Hoo~~"
Ding Zhiqiang reluctantly accepted it.
With the guidance of a teacher who is the world's top mathematician, maybe, maybe, probably, there is hope that it can be completed, right?
After Wang Hao finished explaining Ding Zhiqiang, he turned to look at Qiu Hui'an. After thinking for a while, he still said nothing, so he said, "From now on, you will be in my office. If you have any questions, you can ask me directly."
Qiu Hui'an quickly pointed at himself and asked, "Teacher Wang, where am I?" "You?"
Wang Hao shook his head hesitantly and said, "You are studying mathematical methods, and I have no direction in this regard." He added, "Same for you, if you have any questions, you can ask me."
"But....."
Qiu Hui'an struggled for a long time, feeling that he had been treated unfairly, and immediately said, "Teacher Wang, I also want to have a clear content like Ding Zhiqiang."
He really hoped that Wang Hao would help him think of the content.
Many times, the difficulty of doing something is not the key. The key is to think about what to do. Just like starting a business, a good choice is often more important than hard work.
"this...."
Wang Hao pressed his forehead and thought for a while, "Your subject is number theory. In this regard, what is relevant to my research is the Riemann function. Otherwise..."
"Are you studying the Riemann Hypothesis?"
"..."
"..."
Qiu Hui'an was stunned for a long time with his mouth open, feeling like his head was buzzing for a while. Ding Zhiqiang almost laughed out loud.
Just now he was depressed that the research content was too difficult, but now he feels that Teacher Wang Hao is too kind to him, and there is still hope that his research can be completed, and Qiu Hui'an...
Is there any hope in this life?
