Chapter 118 Master and Disciple Meet, Donggang Sinners and Report of Great Harvest
From June last year until now, I have only had time to complete three papers in top mathematics journals in half a year, which is already very, very amazing...
Four articles?
What speed is this?
Those are the four top journals in international mathematics, not just any ordinary SCI mathematics journal. Even if a very good mathematician can publish an article in two or three years, it is a big deal.
More importantly, several papers involve partial differential equations, number theory, function theory, and the current article's obvious complexity theory issues.
This is simply incredible!
Generally, only older professors can cover so many fields. Even old professors are specialized in one field, and it is difficult to achieve results in multiple fields.
in addition……
Wang Hao can be said to be a genius, it’s okay to be very powerful. Where did this guy named Luo Dayong come from?
They all noticed that the first author of the paper was Luo Dayong.
Wang Hao has been the only author of several top-ranked papers published before, indicating that the research was done by him alone.
Now I am cooperating with Luo Dayong. Luo Dayong is the first author and must be the main figure in the research. Xihai University is marked in the introduction.
The graph isomorphism problem is a "conventional problem" in the field of mathematical computers. That is to say, everyone knows this problem, but there has never been a good solution.
A few years ago, there was a mathematics and computer scientist at the University of Chicago named Laszlo Bobao. He announced that he had discovered a mathematical method that could use many fewer steps to determine whether two networks are
It is not exactly the same, which means that it has solved the problem of graph isomorphism to a certain extent.
However, Laszlo-Bowboy's research only used "fewer and more steps" instead of truly transforming the NP problem into a P problem.
The difference between the two is that the method mentioned by Laszlo-Bobowy only simplifies the steps to determine the comparison of complex networks, rather than saying how many steps will be used to 'determine' it.
These are different concepts, and the difference lies in whether the calculation steps are certain.
If the calculation steps are determined, it becomes a P problem, but the calculation of the steps cannot be determined, which leads to a problem-maybe it takes one step to get the answer, maybe it takes exponential steps and even cannot be calculated.
Laszlo-Bowboy gave three results reports in a row, but several points in the research content were still questioned. In the end, the results paper was not even published.
I don’t know how far Luo Dayong and Wang Hao’s research has progressed now, but to be listed in "New Advances in Mathematics", one of the four major mathematics journals, obviously the results must be very amazing.
Many people are eager to study it.
The following topics will all focus on the research of Wang Hao and Luo Dayong, and then briefly introduce it, explaining that they have transformed the graph isomorphism problem from an NP problem to a P problem.
This also surprised others.
However, Wang Hao repeatedly emphasized, "This research was mainly done by Luo Dayong, I just provided some reference opinions."
Qiu Chengwen is also interested in Luo Dayong, because this achievement is indeed outstanding.
Wang Hao also gave a brief introduction, "He is the kind of genius who is very focused and only does one piece of research in a few years."
"Hahaha~~"
This statement actually made Qiu Chengwen laugh, "It's really interesting for someone who published four top-notch articles in more than half a year to call others geniuses."
"It seems that Luo Dayong is really a genius!"
Of course Qiu Chengwen is also a genius.
Every Fields winner can be said to be a genius. Among the Fields winners, they start learning to write at the age of three, start reading by themselves at the age of five, go to college in their early ten years, and graduate with a doctorate before the age of twenty... Similar
You can find a lot of resumes.
For example, Peter Schulz went to college at the age of 20, later than most ordinary people, but he graduated with a doctorate at the age of 22.
This kind of resume can be described as "fairy".
Qiu Chengwen's resume is also quite amazing. He graduated from college at the age of 20 and received a PhD in mathematics from the University of California, Berkeley, at the age of 22, studying under the famous mathematician Chen Shengshen.
When he was only 25 years old, he had already become a professor at the Institute for Advanced Study in Princeton, the famous holy land of mathematics.
Won the Fields Medal at the age of 32.
Even such a talented Qiu Chengwen was quite surprised to see that Wang Hao was able to complete so many top-level mathematical results in just over half a year.
But Qiu Chengwen didn't look at Wang Hao as a "god" like others. He could understand it, because when he was young, like Wang Hao, he was regarded as a "god" by others.
no doubt.
A very special genius like Wang Hao already exudes the aura of winning an international mathematics award. He also believes that it is only a matter of time before Wang Hao wins Fields.
But what Qiu Chengwen and Wang Hao talked about next was not his mathematics paper published in the top journal, but a less well-known paper -
"Solution of Thirteen Kinds of Partial Differential Equations".
This paper was almost forgotten by Wang Hao, but Qiu Chengwen specifically mentioned it and said with admiration, "This paper is simply amazing. Many people in our center have read it, and I also recommended it to
other people."
"You have two previous papers on partial differential equations, both of which are very classic."
When seeing Wang Hao's puzzled expression, a professor next to him explained, "The wonderful thing about this paper is that it covers many types of partial differential equations."
"Solving partial differential equations has always been a difficult problem. Your paper lists 13 solution methods. You may not have noticed. This paper has been cited overseas for more than a thousand times. We have all downloaded it, but it is a pity that we have not.
Chinese Version."
Others also nodded.
"Is that so?" Wang Hao felt a little confused after hearing this, but it was normal to think about it carefully.
The solution of partial differential equations is definitely not enough for top-level mathematical research, but it is widely used. Many research and development fields need to solve the problem of partial differential equations. The same is true for some fields of mathematics. Solving partial differential equations is a difficult problem. Every
It is not easy to solve more complex partial differential equations.
Now that there is a paper covering the solution of many types of partial differential equations, it will naturally be welcomed by many people.
If you can find the partial differential equation problem you need to solve in the paper, you can follow the above method to solve the answer step by step.
Qiu Chengwen suggested, "That paper is very practical, and your other two papers are also very practical. I think you can summarize and write a book on equation solving based on these papers."
"It will definitely be a bestseller in the mathematics community. If this book is available, I will definitely buy it."
"Me too."
"Definitely buy it, it will be of great use to me."
"Professor Wang Hao, hurry up and publish a book, I can't wait."
Wang Hao nodded and said with a smile, "I will study it when I get back."
He thinks Qiu Chengwen's suggestion is very good. It is indeed what Qiu Chengwen said. His papers are all in English. The papers can also be found in domestic indexes, but to download, you still have to go to foreign websites, and there is no Chinese version, which may be difficult for some people.
, it becomes difficult to understand.
If a Chinese version of the book could be published, it might help many domestic scholars.
…
A group of people chatted and visited the Mathematical Science Center together.
The interior of the Mathematical Science Center is very gorgeous, and the environment can be said to be very comfortable, such as teaching and research rooms, conference rooms, computer rooms, and a discussion center. Wang Hao felt a little envious as he looked around. Compared with some old complex buildings,
The laboratory building of the School of Science is really too powerful, and it almost seems to exist in a different dimension.
The people next to him kept helping with the introduction, and Wang Hao could tell that they probably wanted him to work in the mathematics center.
This is a disguised form of poaching.
But Wang Hao still did not consider coming to the Mathematics Center. The environment of Xihai University is definitely not as good as here, but the Mathematics Center belongs to Qiu Chengwen.
Xihai University plans to establish the Mason Mathematical Science Laboratory, which is equivalent to building a mathematics and computer center around him. He is still looking forward to this.
Later, Qiu Chengwen couldn't help but ask, "Professor Wang Hao, have you ever considered working in the capital? You were at Donggang University before, right? The capital is developing very well, and we attach great importance to talents."
"If you can come to work at the Mathematics Center, you can directly become an associate professor at Shuimu University."
The associate professors of Shuimu University are definitely not as good as the professors of Xihai University in terms of level, but in fact, in terms of salary, treatment, and in the eyes of most people, they are better than the professors of Xihai University.
Wang Hao still refused directly, "I'm sorry, Academician Qiu, I have no plans to leave Xihai University for the time being. Maybe I will consider it in the future."
He also talked to others, "I think the environment in Xihai City is also very good. It is not as busy as here in the capital, and there are almost no traffic jams."
"And the remuneration is also very good. For example, at our university, an ordinary Ph.D. from your Mathematical Science Center can be directly hired as an associate professor at our university, and the school will also provide a settling-in allowance of more than one million yuan."
"You know the housing prices in Xihai City, right? It's only more than 10,000 yuan in the city center. You can buy a large square meter with more than 1 million yuan in full."
"And the university is preparing to build a Mason Mathematical Science Laboratory. The total funding from the country and Northern Xinjiang Province should be more than 50 million. I estimate that it can be increased. It can only be more, not less, and I have drawn funds from the Penguin Group.
Ten million can help improve the equipment environment."
"I still want to have a small computing center. I also have certain research in computers. A lot of mathematical research also needs to be applied to computers, such as finding Mersenne prime numbers..."
Wang Hao said a lot in succession.
Qiu Chengwen and other professors, the more they listened, the more they realized something was wrong. They especially noticed that several young doctors seemed to be listening very seriously.
This... won't be reverse poached, right?
Think about it.
If you work at Shuimu University, you can only start as an assistant researcher or a general contract lecturer. But if you go to Xihai University, you can directly sign up as an associate professor, and you can also get more than one million yuan in settling-in allowance. The housing prices in small cities are relatively low, and you can buy it directly.
With a large square meter, it feels like a wage earner from the bottom working for rent suddenly became a rich and handsome man with a car and a house.
And the level of colleagues is also very high, such as Wang Hao, Luo Dayong...
Well, the third one was unexpected.
One professor saw something was wrong with the topic and quickly corrected it, "Professor Wang Hao, let's talk about the report on Mersenne prime numbers!"
…
The report was conducted the next morning.
Wang Hao came a day early just to make the time less rushed.
Shuimu University announced the news very early, and at around eight o'clock in the morning, some scholars who wanted to hear the report came.
The Mathematical Sciences Center became very lively.
This was not a meeting, it was just Wang Hao giving a report alone. The scholars who came were all specially here to listen to the report. There were only more than a hundred people in total, and they were all professors from various universities. The furthest ones came from Donggang University, and other universities.
Some of them are academics from universities here in the capital.
Wang Hao also arrived at the Mathematical Science Center very early. He met each of the scholars who were listening to the report, shook hands with them, and exchanged greetings with them.
When he walked in front of an old professor in his fifties, Wang Hao raised his hand and froze in place. The old professor stared at Wang Hao with obvious excitement.
"Teacher Pan?" Wang Hao responded quickly.
He has met several faculty members of Donggang University, but Pan Weiguo is definitely a special one because Pan Weiguo was his doctoral supervisor.
The relationship between tutors and students is either close or not.
Pan Weiguo was very close to him, but after leaving Donggang University, he had no contact with Donggang University.
Wang Hao was also very surprised to see Pan Weiguo now.
"Wang Hao!"
Pan Weiguo held Wang Hao's hand, patted his arm heavily with his hand, and said with excitement, "I haven't seen you for a while. You have made so many achievements during your time at Xihai University."
, it really gave me a face."
He even shed two tears as he spoke.
Wang Hao also felt very cordial when he saw Pan Weiguo.
Pan Weiguo was the predecessor's mentor, but he inherited the memory of his predecessor, so he naturally had certain emotions. He also said a little excitedly, "Teacher Pan, I'm really happy to see you again. How are you doing recently?"
"Okay, of course!"
Pan Weiguo's face was full of smiles, "Your reputation has been cleared. It's really..." He was so excited that he didn't know what to say, so he said straightforwardly, "Now I have the nerve to listen to your report."
The two were talking.
People nearby knew that Pan Weiguo was Wang Hao's mentor, and they were obviously talking about the Donggang Experiment incident.
Pan Weiguo continued, "It's a pity that Huang Yichun was only downgraded by half a level, but it can be regarded as an end to his hatred. Before I came here, I met him on the road and scolded him, but he didn't even dare to say anything back."
"Let me tell you, Huang Yichun will never be able to hold his head up as long as he stays at Donggang University!"
Pan Weiguo's words were a bit harsh and seemed a bit serious, but in fact they were the truth.
In fact, the reason lies with Pan Weiguo and Wang Hao. Huang Yichun decided to fire Wang Hao. As a result, after Wang Hao left Donggang University, he completed many international-level achievements.
Donggang University investigated the Donggang Experiment incident and found that it had nothing to do with Wang Hao.
This made Huang Yichun very embarrassed. It was equivalent to saying that he decided to dismiss a genius from the school for the wrong reasons.
Pan Weiguo's words of calling Huang Yichun "the sinner of Donggang" spread out. Many faculty and staff in the school talked about Huang Yichun and felt that he was the sinner of Donggang.
The greater the achievements Wang Hao achieves, the greater Huang Yichun's crime, because those achievements have nothing to do with Donggang University, and this matter will be mentioned whenever people talk about Wang Hao.
What is this if not a sinner?
Pan Weiguo must have been relieved. When he learned that Wang Hao was going to give a report at the Mathematical Science Center of Shuimu University, he decided to come over.
When master and disciple meet, they naturally have a lot to talk about.
But now was not the time to talk. After the two chatted for a while, Wang Hao went to prepare a report.
ten o'clock.
The report was held in the conference hall of the Mathematical Sciences Center. There were probably less than two hundred people in the audience listening to the report.
There are several foreign faces among them, but they are also faculty members of the Mathematical Science Center.
Therefore, Wang Hao no longer had to speak English and simply gave the report in Chinese. He also made a special mention, "Most of the people present are more proficient in Chinese, so I gave the report in Chinese. If anyone can't understand,
, you can go see the report record, there should be a translation, right?"
Wang Hao said the last sentence and looked at the professor on the left. He was in charge of the entire reporting process and other things.
The professor nodded.
Qiu Chengwen also said, "Just make a report in Chinese."
Wang Hao stood on the podium. He used the teaching coin, and the effect was on the step-by-step study of prime numbers in 'Task 3'.
Then, the report officially began.
"You all have my paper in hand, so I will mainly talk about the relationship between these two functions and Mersenne prime numbers."
"One of them is a function for calculation, and the other is a function for determination."
"Both functions are planar, but the structure is a bit complicated. I will mainly talk about the function..."
Wang Hao began to explain seriously, and everyone in the audience also listened attentively.
Some of them already understood the function, while others did not. They quickly understood it through Wang Hao's detailed explanation.
These two functions are the results of Wang Hao's research on Mersenne prime numbers. He just showed the results to let everyone understand the role of the functions.
As for proof, there is no need, because it is just a 'conjecture' in the first place, and it cannot be proved that the function coverage is all Mersenne primes.
The entire explanation process only took about half an hour, and the report was all over.
Next it’s time for questions.
Qiu Chengwen, who was the first to speak, said directly, "Professor Wang Hao, can you tell me how to shape these two functions? I think everyone present is more interested in this."
"How to shape?"
Qiu Chengwen said, "That is, how do you think about the process of shaping functions? Can you make two functions like this?"
Wang Hao suddenly understood. He didn't pay special attention during the research process. He just made judgments based on the ideas in his mind and slowly derived the function.
This derivation process is very irregular, using a lot of vague mathematical theorems, and some of them are even based on guesswork.
Because of this, the function shaping process is not an achievement. What is important is that the function can help find Mersenne primes.
Now many people are concerned about the process of function shaping, so Wang Hao started talking about it, "Actually, at the beginning, I was doing mathematical analysis based on the known Mersenne primes."
"Actually, I found the Mersenne primes first and then made the function."
This was the first time for people in the audience to know this, and they were all a little surprised.
Wang Hao continued, "I have a computer algorithm achievement called valid and irrelevant carry screening."
"This algorithm can be used to determine the relationship between numbers, but this determination is fuzzy and not completely accurate. Mathematically speaking, it is an incomplete proof."
"Of course, my goal is to find Mersenne prime numbers. Here I will briefly introduce the relationship..."
When it comes to effective and irrelevant screening methods, it becomes much more complicated to explain.
Wang Hao only briefly explained the screening process, starting with the screening process and shaping two simple column formulas.
Then based on the step-by-step derivation, it finally becomes a calculation function and a decision function.
The entire explanation process took more than an hour.
Wang Hao paused for a break midway, and soon continued to immerse himself in the explanation. The more he immersed himself in the explanation, the more energetic he became. It can even be described as "energetic".
Because he found that in the process of explaining 'function shaping', knowledge and inspiration continued to pour into his mind.
When he stopped explaining, he immediately checked the mission system.
【Task 3】
[R&D project name: Research on the probability of prime number distribution (difficulty: S).]
[Inspiration value: 91.]
"91! It will be completed soon!" Wang Hao couldn't help but get excited, and even wanted to continue talking for a while.
It's a pity that there is really no content.
Many old professors in the audience felt very tired after listening for more than two hours. Looking at the energetic young people on the stage, they couldn't help but sigh, "I'm getting old!"
"I'm really old. I can't keep up after listening to explanations for two hours."
"He was so energetic when giving explanations, but we..."