The outside world was in an uproar, and when Chen Yonggang couldn't finish answering the phone, Ning Xiao's office seemed very quiet.

With the lesson that when Ning Xiao received distinguished guests in the small room of the doctoral building before, he didn't have a place to sit, and the logistics department of the school was still very careful in the layout of Ning Xiao's suite.

Not only is there a long row of large sofas that can seat three people loosely, but there are also two independent leather sofas around the high-end solid wood coffee table, which are placed diagonally on both sides to facilitate everyone to sit together and discuss.

This also makes it easier for the four of Cisco to sit around the coffee table.

Dominit Duncan and Conan Lamar sat at opposite ends of the long row of large sofas, while Lu Zhengyue and Ning Xiao occupied separate sofas on either side.

The three of them were browsing the paper they had just gotten in their hands, while Ning Xiao sat on the side with March in his arms, occasionally answering one or two sentences of a question or two that someone had asked when he was reading the paper. About an hour ago, Lu Zhengyue took the lead in putting down the paper, took off her reading glasses, and looked at Ning Xiao's gaze by the way when she stretched her body, looking at a monster.

"Ning Xiao, when did you start working on the NP problem?"

Although the paper was only read roughly, Lu Zhengyue had already announced that she had given up the idea of reading through the paper in a short period of time.

In the first place, this was not his research direction, and it was not convenient for him to comment; Second, when I get older, my thinking really can't keep up, and after reading the literature immersively, I feel that I don't have enough energy.

However, although Lu Zhengyue has not studied NP problems, mathematics is common in optimization. It's not that he can't read it completely, but at least he can understand what kind of impact this article might have on the world of number theory.

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

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

After all, Dominit Duncan has not been on exchange for a long time, and he came at the beginning of the summer vacation last year, and this is still half a month away from a year. If the math community can't find too many problems in the last article, it means that Ning Xiao has taken a big step forward in one year to take the first of the seven problems of the millennium proposed by the Clay Institute, and it can even be said that he is only one step away from proving P≠NP, which is nothing more than the subsequent verification and calculation work is extremely cumbersome.

But there's clearly more to it than that.

Because in the whole process of proofing, Ning Xiao once again proposed many very interesting mathematical methods, which are very enlightening for the development of mathematical induction and functional analysis for the study of mathematical problems in the quantum world.

In fact, the advancement of mathematical problems by mathematicians is the process of enriching the mathematical tool library. Calculus, for example, can be understood as a mathematical method for solving a class of problems. The famous Taylor formula and the Fourier transform are all the same. Mathematicians have made it easier for people to solve practical problems through mathematics by finding patterns and giving these formulas to solve problems.

This also includes a paper on Ning Xiao's solution to the NS equation, and even a turbulence algorithm designed for this purpose, which also solves specific problems. There is also the now well-known Ning's partition method, which is now almost always used by mathematicians who study the prevalence of Xinzi, Xin's surge surgery, or Gromov-Witten's invariant quantity.

This is the embodiment of the status of mathematics.

Now Ning's division method has become a compulsory content for graduate students in this research direction, as long as mathematicians who do research in this area in the future, they will not be able to avoid Ning's name, just like learning physics must know Newton, and learning communication cannot avoid Shannon and Fourier is the same truth.

The only problem is probably that the study of this mathematical problem is relatively niche.

But Lu Zhengyue felt that after the interview for Ning Xiao's thesis, many disciplines would probably not be able to avoid Ning Xiao's name in the future, which happened to include quantum physics and communication, and of course, computer science, which is extremely hot now, and so on.

Of course, this is still just a feeling, and if it is to be realized, it needs to be reviewed with great rigor and prudence.

What made Lu Zhengyue feel even more intimate was that the manuscript of the paper that Ning Xiao gave him was in Chinese, and the whole paper was in Chinese except for those formulas and some professional words. Although the manuscript of the paper for Dominit Duncan and Conan Lamar is still in English, from this small detail, Lu Zhengyue felt that Ning Xiao had sufficient confidence in this paper.

Of course, what he didn't know was that the main reason why he could be so intimate was that this job was not troublesome for Ning Xiao, who had March.

……

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

The mathematician, who was only the youngest Fields Medal winner in the world for five minutes, raised his head, glanced at Ning Xiao with a complicated and indescribable gaze, and said faintly: "I did talk about this at the time, but Ning, after that, you suggested that I do research on the zero-point problem, saying that this research is easier to produce results, but now there are no results in the direction that is easy to produce results, and you said that the direction that cannot be overcome in the short term will produce papers." ”

Ning Xiao shrugged his shoulders and replied helplessly: "The question of inspiration is indeed uncontrollable. But you should know that what I'm saying is the truth, in fact, we have advanced the research on the zero-point problem, and we should be able to produce results within half a year. But inspiration is uncontrollable, and if I said that solving this problem was really a flash of inspiration not long ago, you would believe it, right? ”

Without waiting for Dominit Duncan to 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 proposition in this direction, such as an intermediate process. However, as long as you read the table of contents of the paper, you will know that it is impossible to solve this series of problems without long-term relevant thinking, such as the mathematical inference of multi-dimensional to low-dimensional jog motion in the paper, and the annotation of multiple rotation matrices.

It would take more than ten inspirations to solve this series of problems. Of course, I can't tell if your inference is correct or not, and the most annoying thing is that you didn't give a proof process, I just looked for it, and you didn't cite any literature in this piece. So don't tell me that these are what inspiration tells you, and if it is, then your inspiration is terrible. And, are you sure you can convince the reviewer with your conjecture just like that? ”

"In fact, this problem can be simplified to think that it is the same vector, the representation and transformation in different dimensions, the ......" Ning Xiao wanted to explain, but suddenly found that this part of the content was actually borrowed from the content taught in March before, so he suddenly didn't know what to say.

Because he suddenly found that this part of the mathematical research in the world did not seem to have advanced to this extent, in other words, he could not find the relevant literature to explain why the results were so naturally presented in the paper.

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

This question has actually arisen before.

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

In other words, although there is certainly nothing wrong with the argumentation process of Ning Xiao's paper, there is no prior paper to explain, which will make reading and review difficult. Of course, he could also choose to add the argumentation process to the paper, but in that case the paper would be too long.

Because there is more to the problem than a lemma that needs to be explained.

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

If they were all written in a single paper, Ning Xiao probably estimated in his mind that the length of the entire paper would increase to six or seven hundred pages, which was not only extremely unfavorable for reading. Rather, it is simply impractical, because it is difficult, if not impossible, to find suitable reviewers, because many of the directly cited theories already contain different mathematical directions.

It is well known that mathematicians of Hilbert's calibre are rarer than endangered animals in this era, because the mathematical research of this era is so divided into too many details that it would be extremely troublesome for him to put everything together.

"You don't think it's easy, do you? And then ask rhetorically, how can we not understand? ”

Dominit Duncan glanced at Ning Xiao, still in his signature resentful tone: "So you're planning to pay for the horse?" In fact, you already have a complete proof idea for this conjecture, but it is limited by the length of the content, so it is omitted? If I'm not mistaken, this process should be an important preconception, but you get the result straight away. So you're calling us here just so we can read a paper that requires guessing your mind? ”

Lu Zhengyue, who was silently listening to the conversation between the three of them, put on his reading glasses again, picked up the paper he had just put on the coffee table, and began to look for the questions the two said in the catalog, and then began to habitually serve the old in his heart.

Ning Xiao glanced at the two peers silently, then put down March, picked up the paper and pen thrown on the coffee table, and then quickly wrote a few formulas and a simple proof process, and then handed them to the two.

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

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

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

After all, these two people are already people who stand at the top of the pyramid of modern mathematics, and if they can't understand it, Ning Xiao finds that if he doesn't write six or seven detailed pre-papers, I'm afraid he won't be able to pass this hurdle at all.

This is probably the sadness of accidentally surpassing the times.

He was simply overjoyed today.

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

So in order to be able to share it with these people smoothly, he had to prepare a math paper and prove all these mathematical tools first, and then everyone could continue to play happily together.

"Well, that's the end of today's sharing. I decided to listen to both of you, and I will give you a proof process for these issues as soon as possible, and I will invite you to discuss this issue when the time comes. ”

Ning Xiao waved his hand boredly and said.

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

Ning Xiao thought for a moment, then shook his head.

It's not that he is worried about Dominit Duncan and Conan Lamar, but mainly because after they read the whole article, they find more content that should have been proved in detail but omitted directly, and he is afraid that he will not be able to explain it at that time.

"That'...... All right! I don't know why your inspiration is so strange, but if you can prove it...... Wait, why do I feel that this conclusion, if correct, could guide the resolution of the Hodge conjecture? Dominit Duncan said suddenly.

Rather than silently, Dominit Duncan was right, this proposition was originally proposed to prove Hodge's conjecture, although this problem was not solved, but the method was left in the database in March.

"Okay, don't think about it, give me some time, and we'll talk about this paper in the next sharing session." Ning Xiao didn't want to explain, and directly put on a posture of sending off guests.

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

Academician Lu, who was walking at the end, glanced back at Ning Xiao, and thoughtfully helped him close the door.

Ning Xiao, who was left alone, stood up, returned to his desk, and found that March had thoughtfully sent the pre-papers to his computer through the Penguin software......

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

Ning Xiao's judgment was right, and sure enough, there were exactly seven articles.

Ning Xiao was silent, and couldn't help but complain: "March, why didn't you find out about this problem earlier?" ”

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

One person and one cat, looking at each other without saying a word.

Then Ning Xiao gave a question on the penguin that would make the souls of countless mathematicians tremble: "March, do you think there is a possibility that if we vote out all seven papers at once, it will make many people go crazy on the spot?" ”

"Meow ......"

Add more for the Silver League boss 3/20)

(End of chapter)