Genius of the Rules-Style System

"Call an errand?"

"Who should I look for?"

After thinking about it for a long time, Zhao Yi still felt that it would be more practical to call it an errand. Finding someone to accept the award on his behalf was also the most hoped-for solution of the International Mathematical Union. After all, it was better to have someone to accept the award than to leave the Fields award vacant. Then just play the awarding video, and the effect would be great. It would be much different.

He immediately thought of his most idle roommate, Li Renzhe.

Li Renzhe unexpectedly passed the postgraduate entrance examination, and it was said that his results were very good. When he met Zhao Yi, he even boasted a few words, saying that it would be no problem to stay at the same school and that he might be able to find a good tutor.

Anyway, after talking to Balabala, it seemed good to find something for him to do.

"no!"

"Lee In-cheol's image is a big problem. When this guy gets on stage, won't he just stand there and not know where to put his hands?"

Zhao Yi quickly rejected the idea, still feeling that Fan Lei was more reliable.

Fan Lei signed a work contract with the Institute of Biomedical Sciences. After graduation, he can become a formal employee of the institute. The research institution is not like a public institution, but it can be regarded as a "half public institution". The work is relatively stable and the development is very good. He has the title of a junior staff member and is temporarily responsible for the acquisition and follow-up of the institute's projects.

This is also the reason why Fan Lei is busy at work.

In the past, projects of the Institute of Biomedical Sciences and communication with partner hospitals, institutions, and enterprises were the sole responsibility of each laboratory. Yan Xuelin intends to improve the rules and regulations to reduce the pressure on laboratory researchers and allow them to devote themselves to research and development. It was decided to set up a logistics department. Fan Lei was the first official employee who was not a researcher. He was not part of the administrative system for the time being. It was equivalent to one person being in charge of a department, which required a lot of work, including purchasing enough equipment and communicating with partner agencies. Even for project follow-up matters, it seems that you can go to him directly.

Also included is the Center for Medical Sciences.

The Medical Science Center has been under construction for more than a year and has almost reached a certain scale. The entire building has been completed and many large-scale equipment embedded in the walls will be installed in advance.

Yan Xuelin directly handed over this troublesome task to Fan Lei. Of course, he was not responsible for the equipment installation, but he had to do a good job in supervision and handover. It was just like decorating a home, and he had to go over the whole process to see the progress. , but also convey the requirements of the institute.

Now that Fan Lei has not officially graduated, he already has a lot of work on his head. He complains every time, "taking a salary of 5,000 yuan and doing a job worth 50,000 yuan."

Zhao Yi sympathizes with Fan Lei, but he has to say that Fan Lei's job still has great potential for development, because he will definitely be too busy by himself. When the institute decides to formally establish a logistics department, he will at least be able to do well. The position is right.

Of course.

Sympathy is sympathy, but we still have to do the legwork.

"Old Fan, I'm here to see you!" Zhao Yi patted Fan Lei who was working hard in a friendly tone.

Fan Lei was moving machinery and equipment and immediately shouted, "Come and help!"

"good!"

Zhao Yi lifted it up.

After the machines and equipment were transported to the warehouse on the first floor, the two of them took a break and took a breath.

"What are you doing here?" Fan Lei asked directly.

"Can't you come if you have nothing to do? My laboratory is upstairs." Zhao Yi said thoughtfully.

Fan Lei rolled his eyes and said, "It's been so long since I've been to the Three Treasures Hall for nothing, and I don't know you anymore?"

Zhao Yi said with a smile, "You guessed it right. I'm here to lighten your burden."

"Burden reduction?"

Fan Lei was a little confused.

"Seeing that you are so busy with work, I decided to personally support you with an opportunity to travel abroad for free." Zhao Yi said seriously, "At the end of July or early August, for one week, the entire trip will be reimbursed at public expense. Don't worry, I will find Yan The director said he would give you a holiday."

"Really! So good?"

Fan Lei said with eyes filled with surprise, "I've always wanted to go to Hawaii..."

"Yinguo!"

"Xia Wei..."

"India! You have always wanted to go to India! Hyderabad, India!" Zhao Yi said emphatically.

"..."

Fan Lei was blocked for two consecutive sentences, and he couldn't hold it back and shouted with all his strength, "What are you talking about? If you have anything to do, just say it directly, don't beat around the bush!"

"Ha ha."

Zhao Yidao said, "I won the Fields this year, but I really can't go. You can go to Hyderabad, India, to receive the award for me. Just go with Professor Zhou Li. The whole trip will be reimbursed at public expense and you will stay in a five-star hotel. I will personally pay you later." You pay five yuan for running errands.”

Only then did Fan Lei understand, and he immediately grasped the key point, "Conference of Mathematicians? Shall I help you receive the Fields Award? When the time comes, will you be on the podium to receive the award on your behalf?"

"right."

"At that time, there will definitely be a live TV broadcast, right?"

"There should be, right?"

"Do you want to speak when you receive the award?"

"Maybe? I don't know. If you want to speak, I will write a manuscript for you in advance."

"What to wear?"

"casual."

"OK!"

Fan Lei readily agreed, and then immediately picked up the phone, as if there was something urgent.

Zhao Yi asked strangely, "What are you looking for?"

Fan Lei said, "Look for the phone number! I know a manager of Hongxinger K's advertising department, and he said that I will wear a full set of Hongxinger K's clothes and shoes, and there will be a live TV broadcast, the highest stage of mathematics in the world. How can I get tens of thousands?" Advertising fee, right?”

"I K!"

Zhao Yi was shocked when he heard this. He gave a thumbs up and said forcefully, "You... are such a genius!"

…

After returning to the dormitory, Zhao Yi thought about the International Congress of Mathematicians and felt a little regretful.

The International Congress of Mathematicians is a good place for mathematical exchanges, bringing together the world's top mathematicians. I went there four years ago and gained a lot. Those on-site mathematics reports always have some attractive highlights, or bring some interesting results. Get some inspiration or something.

"It seems like I haven't studied mathematics for a long time."

"Normally, Fields winners are also invited to give reports at the conference venue. How about asking Fan Lei to help give a report as well?"

Zhao Yi thought about it and shook his head.

Fan Lei?

make a report?

This guy can't even read the paper, so it's impossible for him to make a report. Maybe he was asked to read from the paper, but he didn't understand some of the symbols, and he misread the content.

What's more, he really hasn't studied mathematics for a long time and has no tangible results.

When the idea was growing in his mind, and he had some leisure time recently, just waiting for the aviation group's acceptance, he unknowingly started thinking about mathematics.

He quickly remembered something - the gap between Yang Mills' existence and quality.

When studying the boundary theory of particles and shaping the energy composition of surrounding particles, Zhao Yi became interested in the issue of 'Yang-Mills existence and mass gap'.

This is an extremely complex mathematical physics problem.

Yang Zhenning and Mills are doing mathematical physics research together. Their goal is to use mathematical methods to unify the core electromagnetic force, weak force and strong force by describing the behavior of elementary particles.

In electromagnetic theory, the overall gauge symmetry corresponds to charge conservation. Once this global gauge symmetry is required to be true locally, the entire electromagnetic theory can be obtained.

Then here comes the problem.

What if this idea is extended to other fields? Such as strong force and weak force? Is it possible to also require a certain overall symmetry to be established locally, and then directly generate relevant theories of strong and weak forces?

This is the famous non-Abelian gauge field theory, also called Yang-Mills theory.

The Yang-Mills theory is generally considered to be an important achievement beyond the discovery of the law of non-conservation of parity, that is, beyond Yang Zhenning's achievement of winning the Nobel Prize.

In current quantum physics, the strong force is described by Yang-Mills theory. In quantum physics, the weak force and electromagnetic force are unified from the perspective of theoretical structure, and the electroweak force after unification is also described by Yang-Mills theory. of.

The Yang-Mills existence and mass gap problem is one of the seven major mathematical conjectures of the millennium. It originated from the physical Yang-Mills theory. The formal formulation of the problem is: prove that for any compact, simple gauge group, The Yang-Mills equations in four-dimensional Euclidean space have a solution that predicts a mass gap.

This question involves the exploration of the fundamental specifications of particles and illuminates fundamental aspects of nature that are not yet fully understood by the physics community.

The reason why Zhao Yi thought of this problem is mainly because the Yang-Mills problem is related to the particle boundary theory. The Yang-Mills theory uses symmetry and mathematical equations to explain the relationship between microscopic interactions, while the particle boundary theory is From the perspective of energy composition of particles, we can explain the origin of microscopic physics.

It is also a research expression of the principles of microphysics, and there must be many overlaps between the two.

If we further explore the energy composition of particles, it will definitely involve the issue of field forces, the Yang-Mills theory, and even the proof of the theory.

Zhao Yi hopes to conduct further research. His research on particle mathematics, like other theoretical physicists, aims to achieve the unification of the four major forces.

After thinking deeply for several days, he temporarily gave up research on the Yang-Mills problem. The most important reason was that the foundation had not been laid yet. Solving this problem required more than a short period of research.

That is much more complicated than solving Goldbach's conjecture and Fermat's conjecture.

While thinking about it, he noticed another problem and immediately became interested.

Because, "Derivation Rate".

Now that Zhao Yi has a certain understanding of "Derivative Rate", he found that "Derivative Rate" is a very good 'logical derivation' ability. Different from derivation using normal logical thinking, "Derivative Rate" can find the 'optimal derivation' based on conditions. Possible paths, rather than enumerating a large number of possibilities according to conditions.

This ability is very useful for doing research and development, and it seems to be very helpful for solving mathematical problems.

Zhao Yi wanted to really try the effect of "Derivation Rate", and found a very good logical derivation question——

NP-complete problem.

This is the first of the Seven Millennium Problems.

The main reason why the mathematical community is interested in NP-complete problems is that it is a purely logical problem.

The correct formulation of the NP-complete problem is: NP=P? , P (deterministic polynomial algorithm) versus NP (non-deterministic polynomial algorithm) problem, the formulation of the problem seems to be very complicated, and you can understand it with a simple explanation.

NP stands for non-deterministic polynomial algorithm.

Some questions can be answered directly using formulas, while others cannot.

For example, what is the next prime number?

The answer to this problem can only be based on guesswork and verification one by one. Verifying that a subsequent number is a prime number is equivalent to solving the problem.

This problem is 'NP', which can be simply understood as 'I don't know how many times it needs to be calculated', and the verification process to solve this problem is P, which means 'the problem is solved after one calculation'.

For example, what is the prime number after the number 5? If you don’t know what the subsequent prime numbers are, this problem can be considered an ‘NP problem’, and the approach is to verify them one by one.

6, no.

7, yes.

The problem is solved.

In the operation of verifying 7, the problem of how many prime numbers are behind the number 5 is solved. This operation process can be considered as the solution P to the problem.

It sounds very simple, but if you are looking for very large prime numbers, the amount of calculations involved will be very large. If you check the calculations one by one, you will find that you cannot continue.

The NP-complete problem is to prove whether there is a unified prevention and quickly solve problems like "problems that can only be verified by guessing, but cannot directly calculate the results."

If it exists, find this method.

If it does not exist, prove why it does not exist.

The NP-complete problem sounds very simple, but in fact it is a very complex mathematical logic problem. If you think about it carefully and deeply, you can't help but feel immersed in it.

This is why many mathematicians are interested in the study of NP-complete problems, but until now no mathematician has been able to prove it.

Zhao Yi thought about the NP-complete problem, and felt that he had nothing to do in his spare time. He tried the "derivation rate" effect by the way, and decided to study it in depth.

at the same time.

The headquarters of the aviation group welcomed a team sent by the Academy of Sciences Software, led by Liu Hemin, a newly-minted information academician.

Liu Hemin's team received a warm reception, but if you pay careful attention, you will find that some people are not very enthusiastic about the arrival of Liu Hemin's team, especially those from the Aviation Group's Flight Automatic Control Research Institute and Aviation Computer Technology Research Institute.

The two research institutes sent small teams, totaling about ten people in total, led by experienced researchers Guo Jinhua and Deng Minrong.

Guo Jinhua and Deng Minrong both looked at the ‘Intelligent Control System’ and they immediately concluded that it involved very complex algorithms and required top mathematical computer experts.

In fact.

The two people's idea is that Zhao Yiben must come over to explain it in order to fully understand the principle. However, because Zhao Yi is the leader of the design team, it is unlikely to participate in the acceptance work. They design and accept it by themselves. It sounds like It's very unreliable.

Although Liu Hemin is an academician of information science and has made world-class achievements in the research of evolutionary algorithms and neural networks, as well as certain achievements in mathematical theoretical research, they still have difficulty understanding the content of the 'intelligent control system'. Believe it too much.

They are very confident in their professional abilities. Liu Hemin's research results are relatively high, but when it comes to specific programs and algorithms, they are not necessarily strong in understanding.

Liu Hemin also knew that the aviation group was full of talents. He came from the Institute of Software of the Academy of Sciences and was a newly promoted information academician of the Academy of Sciences. However, when it came to the aviation group, the title was really not very convincing. The lowest person working as a receptionist was a researcher. Institute, there are also academicians in dynamics and mechanics, all of whom are top academic and research and development figures. He and his team must really understand something in understanding the 'intelligent control system' to be convincing.

So after being entertained, Liu Hemin proposed to get into work quickly.

They quickly got the report.

Because of the confidentiality involved, ordinary researchers in the team could only get part of the report and code, and they would each be responsible for part of the research. Liu Hemin got all the report and code, and immediately devoted himself to research and understanding.

Then.

Liu Hemin looked left and right, and after making sure no one was paying attention, he took out a densely packed notebook from his briefcase and looked at it carefully against the report and code.