Genius of the Rules-Style System

"One point makes waves, making the entire face, the entire shape, and everything no longer calm."

"The changes that are affected by this point are irreversible unless this point disappears, and all changes originate from this point..."

"Then go and prove this point and simplify complex issues."

Zhao Yi sat at the table and thought seriously, seizing the inspiration he got from Qian Zhijin. He was studying the use of topology to solve Fermat's conjecture.

Previously, he designed a Fermat conjecture function with a fixed n value. The corresponding three-dimensional surface and the inverse surface it corresponds to, the forward and reverse directions are combined to form a new three-dimensional figure.

If you perform topological analysis on this new graph, you will get some very interesting conclusions, but if you want to prove Fermat's conjecture, it seems that there is still something missing.

Now he found what was missing - an important point.

In the middle of the graph, add a point that takes the value of a natural number, and introduces the concept of "numerical smoothness", that is, to verify whether the point that takes the value of a natural number may appear on the plane. The verification method is to perform topological analysis. And judge the smoothness.

To give the simplest example, in topology, a donut cannot turn into a sphere. No matter how small the circle in the middle is, it will definitely exist. But if the circle is connected to the outside and a channel appears, the channel will still exist no matter how small it is. , the donut is no longer a donut, but like a whole ball that has been pinched into a depression and then expanded the space inside.

What needs to be verified now is whether the 'channel' exists. If it exists, the verification result will be 'smooth'. If it does not exist, it will be 'unsmooth'.

Obviously.

If it can be verified that the point of 'taking the value of a natural number' is smooth, it means that Fermat's conjecture is not true; otherwise, it is true.

Zhao Yi sorted out his proof ideas, took a deep breath and stood up, feeling hungry. He checked the time and prepared to have a big meal, and then entered retreat mode.

He called Qian Hong.

The reason why I called Qian Hong was, firstly, because I didn’t know how long the retreat would last, and I wanted her to help deliver food and take care of him. Secondly, I was interested in the progress of writing "The Boundary Theory of Particles".

The latter is important.

While doing research, you must also pay attention to the great cause of making money. Earning royalties from publishing books is the most "gentle", "high-end", and most consistent way of making money as a "scholar". How can you not care about it?

People live in this world just to make money!

This is the most basic.

Qian Hong was invited by Zhao Yi to have a big dinner together at a very high-end restaurant near the school. She was still feeling expectant and excited, but then she felt that in the restaurant, she was asked about her book writing progress.

She suddenly became depressed, "Zhao Yi, Professor Zhao, Brother Zhao... I have been working very hard!"

"Then how..."

Zhao Yi hesitated but gave a positive example, "I remember that Brother Chao wrote the "Screening Method" at that time, which took more than two months. At that time, he also designed an automatic shopping system with me."

"...Can I compare with that guy Xu Chao?" Qian Hong took a deep breath and said angrily, "He is a professional counterpart. He writes computer books. He is also interested in it. I write theoretical physics! Mathematics , Mathematics!”

The more she talked, the more depressed she became, "I spend several hours on it every day, but I don't understand those complicated mathematical frameworks at all. Most of them are put in directly, and I have to consider whether they are suitable..."

"Do you know what it feels like to have someone who doesn't understand write a very professional book?"

"How does it feel?" Zhao Yi really didn't understand.

"Stupid, I feel that I am very stupid, very stupid. I am born stupid and stupid!" Qian Hong said as he scratched his scalp hard, but even after pulling for a long time, not a single hair fell out.

Zhao Yi reached over and grabbed it hard.

"What are you doing?" Qian Hong raised his head suddenly, with a puzzled look on his face.

Zhao Yi explained calmly, "I'll help you. I'll see if you can't pull it off after a while."

"……roll!"

Qian Hong suddenly laughed when he said this word.

Zhao Yi shook his head and said with a smile, "Okay, I won't rush you, I won't push you. Then let me tell you a good thing."

"What good thing?"

"That's right, I'm preparing to research something. It will take a lot of time, and I'll have enough food for the next few days..."

"give it to me!"

Qian Hong patted his chest and said, as if he had received some serious task, and then he realized it and said depressedly, "What a good thing this is!"

"That's why I treat you to a big dinner!" Zhao Yi said with a smile.

Qian Hong raised her mouth with reluctance on her face, and simply dived into the delicious food, eating and eating until she couldn't help but hiccup.

…

That day, Zhao Yi rushed into the staff dormitory and did not go out again for three consecutive days.

The proof of Fermat's conjecture has been thought out, and there are still many details that need to be improved. But with the general idea, the details are relatively simple, and the "contact rate" can play an important role.

This proof was much smoother than Goldbach's conjecture, because he had already thought of the general idea and direction, and just thought along it.

The initial proof was very fast. After turning on the causal thinking mode, he wrote and recorded almost non-stop. It only took about five hours to complete all the proofs, but the content in the draft was definitely not Copy it into the paper, and spend the rest of the time sorting out the proof content.

Three days.

Zhao Yi praised his high efficiency. Looking at the twenty-seven pages of the paper on the computer screen, he couldn't help but laugh easily.

Although I haven’t written an English version of my paper yet, I can start thinking about submitting it.

"Should I vote for "New Advances in Mathematics"? Or "Journal of the Mathematical Society"?"

"Or Acta Mathematica?"

Zhao Yi is interested in changing to a top journal, and "Acta Mathematica" is a good choice. Among the four top mathematics magazines, "Acta Mathematica" publishes the least number of papers, which is also the most difficult to publish. The review time is naturally very long. long, on average more than two months.

In comparison, "New Advances in Mathematics" is much better.

"Journal of the Mathematical Society" is also pretty good, mainly because it has familiar review editors.

The proof of Fermat's conjecture is a very important mathematical achievement, so I should think carefully about it before submitting it. The proof of Goldbach's conjecture is better, because there are two proof methods, so I simply submitted it to two magazines.

The current submission still needs to be considered.

"never mind!"

"It's better to write the English paper first. Anyway, it won't be more than two or three days."

Zhao Yi decided to take a break first and slowly write an English argument.

He had been studying Fermat's conjecture and topology for a while, and after completing the proof process in one breath, he felt that his body was a little unable to keep up, and his mental state was in a trance. He had to rest and relax properly.

So the first thing is...

Go to class!

He looked at the time, it was two o'clock in the afternoon, and made a decision directly.

…

Sleeping in class is really a good way to relax. You can feel the atmosphere of the school class while resting and replenishing your sleep.

Zhao Yi thought so. He slept soundly, with his head in his arms and his whole body motionless. There was a smile on his lips, as if he had had a good dream.

Chemistry teacher He Hongbo on the podium didn't feel so good.

He Hongbo was in a good mood when he first discovered that Zhao Yi didn't come to class. Zhao Yi didn't come last week, and he still didn't come this week. Could it be that he didn't come to his class?

"That's great!"

He Hongbo thought happily, "It's best not to come here again! I will give you full marks at the end of the semester!"

Without Zhao Yi in the classroom, He Hongbo felt that his mood was different. While talking about the knowledge in the book, his brain seemed to be full of energy, and he also talked about some relevant content in the research.

When he was talking about a failed experiment, He Hongbo saw Zhao Yi walking in from behind, and his words stopped for a moment.

Then Zhao Yi sat in the last row, looked around and then lay down on the table.

like a statue……

"What does this mean? Come to class and go to bed right away?"

"Is my lecture too boring?"

"Although it is indeed boring for you, it would be best if you just don't come!"

He Hongbo took a breath and felt extremely depressed. He still insisted on continuing to speak, but his tone was not as free and easy as before, but became low and deep, sounding a little melancholy.

During the lecture, He Hongbo suddenly remembered something, and looked at Zhao Yi with curiosity.

Yanhua University does not have a School of Chemical Engineering, and Chemistry is also classified in the School of Science. He Hongbo's office is on the second floor, and he is familiar with Zhou Li, Hu Zhibin, Gao Yihua and others.

Yesterday, He Hongbo heard Hu Zhibin saying that Zhao Yi seemed to be doing research on Fermat's conjecture and had not left the house for several days.

At that time, Hu Zhibin said very seriously, "Zhao Yi will definitely be able to complete it. It's just a matter of time. There is hope this time, but it is also possible..."

"No one knows exactly what it will be like!"

"I think I have time to judge. Think about it, it's Fermat's conjecture, not a simple math problem. Fermat's conjecture is more difficult than Goldbach's conjecture."

"Andrew Wiles's proof paper has more than a hundred pages. It is estimated that it will take several weeks or months to write the paper. No matter how talented Zhao Yi is, even if he simplifies it by half, it will only take one or two pages to fifty pages. Sunday, right?”

"So, the longer the time, the greater the hope!"

"Don't worry, Teacher Qian can see Zhao Yi every day and know how he is doing."

The longer the time, the greater the hope!

He Hongbo couldn't help but calculate, "It's only been two or three days now, right? Could it be that the proof has failed? That's right, Fermat conjecture, it's not that easy to solve it in one go."

He Hongbo had many thoughts running through his mind, but his lecture was not affected.

When he found that Zhao Yi was sleeping soundly, he became more relaxed, his spirit became different, and his lecture state immediately improved.

get out of class has ended.

Some students were still unfinished, and they discussed one after another, "What Teacher He taught today was really interesting! I feel like it wasn't like this before."

"Yes, this is my first time taking a chemistry class and I can listen from beginning to end."

"It seems that Zhao Yi came in the middle, did you notice it?"

"Yeah?"

Before leaving, many students glanced in the direction of Zhao Yi. Zhao Yi was the real star student and many people would pay attention to him. However, due to the large gap in levels, only a few could really be friends with Zhao Yi.

For example, Fan Lei and Li Renzhe.

Course is over.

He Mingcheng walked to the back row with the book in his arms and stood next to Zhao Yi. He seemed to want to wake Zhao Yi up, but he was a little hesitant and didn't know what to do.

Fan Lei came over and asked in confusion, "Teacher He? Look at me!" He said, patting the table with his hand and shouting, "There's an earthquake!"

After saying that, he and Li Renzhe laughed together.

Zhao Yi opened his eyes drowsily and muttered something not very friendly, which was basically a greeting to his ancestors. Then he noticed He Hongbo and quickly stood up and asked, "Teacher He?"

He Hongbo nodded and smiled, "Zhao Yi, are you doing research? There are successes and failures. For example, when I was doing experiments, one of the test tubes exploded and burned my hands. Look."

He showed the scar on the back of his hand and explained, "It was burned with sulfuric acid."

"oh."

Zhao Yi nodded and said to himself, "It seems that this kind of potentially dangerous chemical experiment should be done by others..."

He Hongbo opened his mouth, not knowing what to say. He originally wanted to comfort Zhao Yi, but found that Zhao Yi seemed to be fine, so there was no need to say anything more.

He smiled and left.

Zhao Yi returned to the dormitory with Fan Lei and Li Renzhe, and entered the 'game mode' together. After swiping the 'rest coins', the 'leisure coins' could not be left behind.

the other side.

After He Hongbo returned to the office, he couldn't help but share the news about Zhao Yilai's class with others like gossip.

Hu Zhibin's loud mouth was immediately uploaded to the public, and even caused a discussion in the office on the first floor--

"Qian Hong told me the day before yesterday that I saw Zhao Yi today, shouldn't I? Could it be that there was a problem with the research?"

"It should be."

"Last time he asked me about topology. I have no research on topology. In this regard, really, I still need to ask a professional."

"Fermat's conjecture is so difficult. I think it would be great to have results within a few years or more than ten years. You can't expect to prove it in one go."

"No matter how genius you are, it's impossible!"

People in the office were chatting and laughing, and the people who cared about me really took it to heart.

For example, Hu Zhibin.

Hu Zhibin had a good mouth and was the first to know about everything, but he still cared about Zhao Yi very much. He felt that Zhao Yi had encountered a problem in his research, so he should go over and express some concern.

That night, Hu Zhibin was waiting at the door of the staff dormitory. When he saw Zhao Yi coming from a distance, he immediately went over and said, "What a coincidence!"

"Ah, Teacher Hu!"

Zhao Yi was a little surprised when he met Hu Zhibin at the door of the staff dormitory, because Hu Zhibin had nothing to do with the staff dormitory, but there were many people living in the staff dormitory...

Female teacher?

When Zhao Yi looked at Hu Zhibin again, his eyes became a little strange. He thought carefully about which teacher might be associated with Hu Zhibin.

At this time, Hu Zhibin lamented and said, "Zhao Yi, life is not easy. Occasionally, you will experience failure. When you want to do something or get something, it may not be what you want."

"No one can have smooth sailing, just like me. Look at me, I am really a failure. I am a failure in doing research. I am not as good as others. In other aspects... well, people have to go through this."

He patted Zhao Yi on the shoulder, "But a failure is nothing. As long as you persist and work hard, there will be hope and you can get what you want."

"Come on, you come on, I'll do it too, let's do it together!"

Hu Zhibin finished speaking very seriously.

Zhao Yi looked at Hu Zhibin with confusion on his face, but couldn't help but ask, "Teacher Hu, isn't it...are you...this...is...don't worry if I ask, I'm just curious..."

"Did you just go up and confess to a female teacher and be rejected?"

He said with sympathy in his eyes.