The end of technology.

Chapter 156 Not a Serious Problem

There was a lot of commotion outside, and when Chen Yonggang couldn't finish answering the phone calls, Ning Zi's office seemed very quiet.

Having learned from the experience that Ning Zi had no place to sit when receiving distinguished guests in the small room of the doctor's building, the school's logistics department is still very careful in the layout of Ning Zi's suite.

There is not only a long row of large sofas that can comfortably seat three people, but also two independent leather sofas surrounded by high-end solid wood coffee tables, which are placed on both sides obliquely, so that everyone can sit and discuss together.

This is also convenient for the four of Cisco to sit around the coffee table.

Two foreign professors, Dominique Duncan and Conan Lamar, sat at both ends of the long row of large sofas, while Lu Zhengyue and Ning Zi occupied separate sofas on both sides.

The three of them were browsing through the paper they had just received, while Ning Zi sat on the side holding Sanyue, occasionally answering one or two questions raised by someone while reading the paper.About an hour later, Lu Zhengyue put down the thesis first, took off his reading glasses, and looked at Ning Zi while stretching his body, as if he was looking at a monster.

"Ning Zi, when did you start working on the subject of NP problems?"

Although the thesis was just a rough read, Lu Zhengyue had already announced that he would give up the idea of ​​reading through the thesis in a short time.

Firstly, this is not his research direction, and it is inconvenient for him to comment; secondly, as he gets older, his thinking really can’t keep up, and after a short while of immersive reading of the literature, he feels exhausted.

However, although Lu Zhengyue has not specifically studied NP-type problems, mathematics is interlinked in terms of optimization.It's not that he can't read it completely, at least he can understand the impact this article may have on the number theory world.

"I have considered doing this subject before, and I talked to Professor Duncan about this issue when he first came to China." Ning Zi replied.

Try to make this time period as long as possible so that it is not so abrupt, but even so, it is enough to make Lu Zhengyue speechless.

After all, Dominion Duncan has not been here for a long time for the exchange. He came at the beginning of last summer vacation, and it is still more than half a month away from a full year.If there are not too many problems in the mathematics world in the last article, it means that Ning Zi spent a year making the top of the seven millennium problems proposed by the Clay Institute, and has taken a big step forward. It can even be said that It is only one step away from proving that P ≠ NP, and the next verification and calculation work is extremely cumbersome.

But there's clearly more to it than that.

Because Ning Zi once again proposed many interesting mathematical methods throughout the proof process, these methods, in Lu Zhengyue's opinion, are very inspiring to the development of mathematical induction and functional analysis for studying mathematical problems in the quantum world.

In fact, mathematicians' promotion of mathematical problems is the process of enriching the library of mathematical tools.For example, calculus can be understood as a mathematical method for solving a class of problems.The famous Taylor formula and Fourier transform are all like this.Mathematicians make it easier for people to solve practical problems through mathematics by finding laws and giving these formulas for solving problems.

This also includes Ning Zi's paper on solving the NS equation, and even designed a turbulence algorithm for this, which also solved specific problems.There is also the now-famous Ning's segmentation method. Now, as long as mathematicians who study Xin Zifeng, Xin Zhangkai's surgery, or Gromov-Witten invariants almost all use Ning Zi's Ning's segmentation method.

This is the embodiment of the status of mathematics.

Now Ning's segmentation method has become a compulsory course for graduate students in this research direction. In the future, as long as mathematicians who do research in this field will not be able to get around Ning Zi's name, it is as if one must know Newton to study physics, and one must know Newton to study communication. It is almost the same reason not to open Shannon and Fourier.

The only problem is probably that the research on this mathematical problem is relatively small.

But Lu Zhengyue felt that after the interview for Ning Zi's thesis, Ning Zi's name would probably be unavoidable in many subjects in the future, which happened to include quantum physics and communication, and of course the extremely popular computer science, etc. .

Of course, this is still just a feeling. If it is really to be realized, this paper needs to be reviewed with extreme rigor and prudence.

What makes Lu Zhengyue even more considerate is that the draft of the thesis that Ning Zi gave him is in Chinese, and the whole paper is in Chinese except for those formulas and some professional vocabulary.Although the draft papers for Dominique Duncan and Conan Lamar were still in English, from this small detail, Lu Zhengyue felt that Ning Zi had sufficient confidence in this paper.

Of course, what he doesn't know is that the main reason for being so caring is that this job is not troublesome for Ning Zi who owns Sanyue.

……

The simple answer between the two affected Dominion Duncan, who was concentrating on the thesis, after all, he directly mentioned his name.

The mathematician, who had been the world's youngest Fields Medal winner for only 5 minutes, raised his head, glanced at Ning Zi with complicated and unspeakable eyes, and said faintly: "I did talk about this at the time, but Ning, after You also suggested that I do research on the zero-point problem, saying that this research is easier to produce results, but now there is no result in the direction that is easy to achieve results, and you said that the direction that cannot be overcome in the short term will be published. "

Ning Zi shrugged, and replied helplessly: "The problem of inspiration is indeed out of control. But you should know that what I said is the truth. In fact, we have advanced the research on the zero-point problem, and it should be out within half a year." The result. But the inspiration is uncontrollable, if I say that solving this problem is really a flash of inspiration not long ago, you should believe it?"

Before Dominit Duncan could answer, Conan Lamar next to him replied very simply: "Of course I don't believe it. A momentary inspiration may be able to solve a certain proposition in this direction, such as the intermediate process. But just look at After reading the catalog of the paper, you will know that without long-term relevant thinking, it is impossible to solve this series of problems, such as the mathematical inference of multi-dimensional to low-dimensional jogging motion in the paper, and the annotation of multiple rotation matrices.

This probably requires more than ten inspirations to solve this series of problems.Of course, I still can't judge whether your inference is correct or not. The most annoying thing is that you didn't give the proof process. I just looked for it, and you didn't cite any literature.So don't tell me that these are all inspired to tell you, if so, then your inspiration is terrible.Moreover, are you sure you can convince the reviewers with your conjecture directly? "

"Actually, this problem can be simplified as the same vector, the representation and conversion in different dimensions, uh..." Ning Zi wanted to explain, but suddenly found that this part of the content was actually borrowed from the content of the previous professor in March. So suddenly I didn't know what to say.

Because he suddenly discovered that this part of mathematics research in this world seems to have not advanced to this level. In other words, he could not find relevant literature content to explain why these results were given in the paper so naturally.

This also made Ning Zi suddenly realize that this is a big problem, and he took it for granted and directly used the arguments in the previous system.

This problem has actually arisen before.

Back then Fang Xu completed the research on the proposition, but the paper could not be published because Ning Zi did not write a paper specifically for Ning's division.

In other words, although there is definitely no problem in the argumentation process of Ning Zi's paper, there is no pre-paper to explain it, which will make reading and reviewing difficult.Of course, he can also choose to add the argumentation process to the paper, but in that case the paper would be too long.

Because there is more than a lemma to explain.

There will be at least six or seven lemmas that require prior theoretical guidance.

If they were all written in one paper, Ning Zi probably estimated in his mind that the length of the whole paper would increase to six or seven hundred pages, which is not only extremely unfavorable to reading.Rather, it is simply impractical, as it is difficult, if not impossible, to find suitable reviewers, since many of these directly cite theories that already involve different directions in mathematics.

As we all know, in this era, mathematicians as versatile as Hilbert are rarer than endangered animals. After all, mathematics research in this era is too finely divided, so if he combines everything together, it will be extremely rare. trouble.

"You don't want to say that this is very simple, do you? Then ask how we can't understand it?"

Dominit Duncan glanced at Ning Zi, and his signature resentful tone remained: "So are you going to pay for your education? In fact, you already have a complete proof of this conjecture, but it is limited by the length of the article. , so omitted? If I understand correctly, this process should be a very important pre-theorem, but you directly obtained the result. So you called us here to let us read an article that needs to guess your mind paper?"

Lu Zhengyue, who was silently listening to the conversation between the three, put on his presbyopic glasses again, picked up the paper he had just put on the coffee table, and began to search the catalog for the questions the two of them talked about, and then began to habitually convince the old man in his heart. , not only did he not see as deeply as these young people, but he also did not see as fast as these young people.

Ning Zi silently glanced at the two colleagues, then put down Sanyue, casually picked up the paper and pen thrown on the coffee table, and quickly wrote a few formulas, followed by a simple proof process, and handed them to the two.

Of course, this posture is really uncomfortable, so Ning Zi wrote very briefly. While showing the manuscript to the two of them, he still explained: "Point P represents the coordinates in a high-dimensional coordinate system, and D represents the coordinates of this point. In the conversion process, P^c represents the intermediate point coordinate system, P^w represents the low-dimensional coordinates, W represents the connecting line of the projection, and K represents the closed-chain subspace... Well, can you understand this way?"

The two took the manuscript paper from Ning Zi, listened to Ning Zi's explanation, their heads squeezed together, then they frowned tightly, looked up at each other from time to time, then raised their heads, and shook their heads at Ning Zi.

Sure enough, it is still too abstract, which fully proves that mathematics has a blind spot that the participants always feel that it is not difficult.

After all, these two people are already at the top of the modern mathematics pyramid. If they can't understand it, Ning Zi finds out that he doesn't write six or seven detailed preliminary papers.

This is probably the tragedy of accidentally surpassing the times.

He was simply too happy today.

Such a wonderful paper, these people can't understand it, and if they don't understand it, they will lose the fun of sharing.

So in order to be able to share with these people smoothly, he has to prepare several papers and prove all these mathematical tools, and then everyone can continue to play happily together.

"Well, today's sharing session ends here. I decided to listen to the opinions of the two. I will give the proof process of these issues as soon as possible, and invite everyone to discuss this issue together."

Ning Zi waved her hand in boredom and said.

"Well, let's take the thesis back and study it first?" Dominit Duncan raised the manuscript paper in his hand and asked inquiringly.

Ning Zi thought for a while, then shook her head.

It's not that he is worried about Dominion Duncan and Conan Lamar, but the main reason is that after they read the whole article, they find more content that should have been proved in detail but have been omitted directly. He is afraid that there will be more Can't explain.

"Then... well! Although I don't know why your inspiration is so strange, but if you can really prove this theorem... Wait, why do I feel that if this conclusion is correct, it can guide the solution of Hodge's conjecture?" Domini Tre Duncan spoke suddenly.

Ning Zi was silent. Dominique Duncan's judgment was correct. This proposition was originally proposed to prove Hodge's conjecture. Although the problem was not solved, the method remained in the database in March.

"Okay, don't think about it, give me some time, let's talk about this paper at the next sharing meeting." Ning Zi didn't want to explain, and directly put on a gesture of seeing off the guests.

The three looked at each other, then put down the papers in their hands and walked out of the office.

Old Academician Lu who was walking at the end looked back at Ning Zi, and closed the door for him intimately.

Ning Zi, who was left alone, stood up, went back to his desk, and found that March had thoughtfully sent the preliminary thesis to his computer through Penguin software...

Of course, these are the contents in its database, and it doesn’t even need to consume computing power to process the copywriting, just need to call it out again, and then change the author’s name.

Ning Zi's judgment was correct, as expected exactly seven articles.

Ning Zi was silent, and couldn't help complaining: "San Yue, why didn't you discover this problem earlier?"

The kitten's expression was very innocent, and then he gave an explanation that Ning Zi could not refute at all: "Meow, because these are not problems for me."

One person and one cat, looking after each other without words.

Then Ning Zi asked another question on Penguin that would make the souls of countless mathematicians tremble: "San Yue, do you think there is a possibility that if we submit all these seven papers at once, what will happen?" Let many people go crazy in place?"

"Meow……"

　Add more for the silver league bosses 3/20)
　　
　
(End of this chapter)