Chapter 145 If you can complete it, your contribution will be greater than Newton's!

On the Internet, a cross talk star made a famous line.

"You don't understand dad's happiness at all."

In fact, the essence of the meaning is a replica of the emperor using a golden hoe to hoe the ground, but it was expressed in more ridiculing language.

It is difficult for poor people to understand the happiness of rich people, just as it is difficult for ordinary people to understand the happiness of highly intelligent businessmen.

It just so happens that from time to time, some amazingly talented people will appear in this world, who will humiliate the IQ of ordinary geniuses over and over again.

It's like in that era when technology was still very backward, people couldn't even figure out how Einstein arrived at the constant speed of light and his conclusions about the relativity of time and space.

After all, the core idea of ​​the special theory of relativity of this physics guru directly challenges the intuitive understanding and empirical common sense of Newton's classical mechanics.

How can time expand if it is eternal?

How could the speed of light be constant? It was even introduced into the mass-energy equation?

The most speechless thing is that mass can be converted into energy?

You must know that in classical physics at that time, mass and energy were regarded as completely different physical quantities. They were each conserved and could not be converted into each other. This is common sense!

But the fact is that a series of experiments later gradually proved Einstein's point of view.

Especially after human scientists discovered nuclear fission and nuclear fusion, research on atomic nuclei found that Einstein knew it too well!

After a boy and a fat man showed great power, the mass-energy equation became an unquestionable basic formula in physics.

In a sense, Qiao Yu also wanted to do something like this. But mathematics is different from physics, and Qiao Yu's ideas are freer.

In order to save more time when asking Professor Zhang for advice tomorrow, Qiao Yu fell into an exciting state of creation.

He needs to give Professor Zhang a few examples.

For example, the number 1.

This enlightening number, in the system designed by Qiao Yu, the modal number of 1 will no longer be a fixed value, but will show different changes as the modal space (α, β) changes.

modal characteristics.

It is recorded as N_α,β(1). And because it has some unique properties under this fixed axiom system.

For example, the automorphism of modal unit numbers.

Expressed as a formula:

This means that although the modal space is changing, the modal units always appear as unit elements in any mode.

In other words, no matter how the mode changes, the modal unit number always has the conceptual concept of 1, but it may exist in different forms.

At the same time, due to the change of modes, different modal dependencies need to be shown in different modal spaces.

For example, in the complex field:

In essence, the concept of automorphic representation space of Langlands program has been introduced here. In other words, the automorphic representation space is correspondingly structured.

In the same way, if you want to continue to operate the number 1, you can also use the concept of modal convolution. In Qiao Yu's construction, modal convolution Gm is an extremely important operation.

The number of modal units appears as the neutral element of modal convolution in convolution. For any modal number N_α, β(n) there are:

In addition, for better operation in the future, the modal unit number must also be self-referential.

A simple 1, in this framework, can be either a complex phase modal unit number, an exponential recursion unit number, or a multi-dimensional representation unit number.

With these definitions, some concepts in classical number theory can be transformed.

For example, in classical number theory, the formula for an arithmetic sequence is: a_n=a_1+(n1)d.

When this formula is extended to the modal space, so that the tolerance and term value of the sequence can depend on the changes of the modal parameters (α, β), then the modal arithmetic sequence will be recorded as:

The purpose of doing this is actually very simple.

Since the existing tools cannot solve a series of problems with prime numbers, we can simply upgrade the number theory problems to the dimension of modal space.

This allows Qiao Yu to use a series of tools he defined under this axiom system to solve outstanding number theory problems.

Qiao Yu thinks this can be called a modal Langlands program.

To be honest, this kind of creation feels very exciting. It's like really building a new digital universe, and Qiao Yu is even addicted to it.

Of course, although this feels great, there is still too much work to be done to make these tools and operations relevant to classical number theory.

But Qiao Yu doesn't need to think so much now. He only needs to construct this multi-level structure containing different modal spaces.

Then tomorrow I will discuss it with Professor Zhang who made this suggestion to him. The specific improvement will be a huge project.

By the time Qiao Yu felt sleepy, it was already three o'clock in the morning.

Under normal circumstances, Qiao Yu actually lives a very regular life and goes to bed at eleven o'clock.

He can even go to bed without looking at his phone.

There are only a few moments when I am so passionate about mathematics that I am so focused that I forget to feel sleepy. I accidentally stay up until the early hours of the morning.

But it doesn't matter, because when he feels sleepy, he really can't hold on for a second.

As for washing, it has become a very luxurious thing at this time.

He stood up and staggered into the bedroom. As soon as he lay down on the bed, he was already snoring slightly in less than thirty seconds.

You can often sleep very soundly this way.

…

For a child who has decided to shoulder the burden of supporting his family since the fifth grade, Qiao Yu knows one thing very well, that is, this is a world full of competition.

There will be no pie in the sky. Whatever you want, you have to fight for it yourself.

To achieve this, you have to do the right things at the right time according to your goals.

For example, if he wants to become a star-level professional game player, he must spend a lot of time practicing in the game every day, trying to figure out the advantages and disadvantages of each game character's skills, constantly honing his skills, and mastering various tactics.

, and a tacit understanding with your companions...

But now if he wants to become a mathematician, he must devote time and energy to study and research, and obtain results that can be recognized by people.

In Qiao Yu's opinion, this is fair. Just like what he once said to Zhou Shuang, if your efforts are not rewarded, then you have to get out in time.

If he can get satisfactory rewards for his hard work and can get along well with the people around him, it is enough to show that he is not only suitable for this task, but also can achieve a win-win situation with those who cooperate with him.

There is no doubt that Qiao Yu now feels that he is indeed suitable to be a future mathematician. The path chosen by the good old man is quite good and suitable for him.

Then he should seize the opportunity to make some achievements, satisfy everyone's expectations and achieve himself at the same time.

So even though he didn't go to bed until three in the morning, Qiao Yu climbed out of bed energetically at seven-thirty the next day and continued his research.

Even though Professor Zhang Yuantang’s lecture only started at ten o’clock today.

But the extra preparation he made in the early stage meant that the question-and-answer session that Director Tian helped him secure could improve efficiency.

In other words, he can squeeze the teachers who are invited to teach him more experience and knowledge.

This is nothing to feel guilty about.

After all, being able to invite a professor to give such an academic lecture is not something you can do just based on face. After all, you have to pay for it.

Qiao Yu felt that he was just letting Director Tian spend the money more cost-effectively.

…

The two-hour lecture was packed with seats, but in fact, Qiao Yu felt that the lecture did not yield much.

Because the content of the lectures given to the public is actually similar to the ideas expressed in the papers.

Qiao Yu can also understand this.

After all, professors also want to save face. In public, they will have various scruples and will not discuss some content that is too radical or uncertain.

For example, many people like to use the word "obvious" in the process of mathematical proof. Even some professors often use these two words on the blackboard during class.

So many times these two words appear a bit taken for granted.

That's all in private, but if the boss uses these two words during a lecture, and someone obviously questions this when asking questions, two situations may occur.

The first is for the boss to explain in just a few lines and give proof. That is, it is indeed obvious. This will make the person asking the question look like a fool.

The second type is when the boss writes to prove why it is obvious, but finds that it is not so obvious, and cannot prove it for a while, which makes the person giving the lecture on the stage look like a fool.

Not only was this situation embarrassing at the time, but it would also be embarrassing if word spread about it.

Therefore, when giving lectures, the boss will definitely avoid saying things that have not been well thought out or even that he may not be sure of.

Even if there is, it will be placed in the final outlook.

But discussing it in private is different. It won't hurt face anyway, and the professors will be more bold. Some new ideas can be discussed without any scruples.

Therefore, compared to the public lectures, Qiao Yu was more looking forward to the private exchanges in the afternoon.

This is what Tian Yanzhen promised him yesterday.

But what surprised Qiao Yu was that after the morning lecture, Director Tian didn't ask him to go to dinner with him.

I just mentioned to him that if I go to his office at two o'clock in the afternoon, Professor Zhang will also be there.

Well, I can only say that I am born.

But Qiao Yu thought it was good, at least he had an extra hour in the afternoon to clear his mind.

Just like that, at two o'clock in the afternoon, Qiao Yu rushed into Tian Yanzhen's office carrying a bag containing a thick stack of manuscripts that he had reorganized at noon.

It's good. The tutor is very punctual. He came two minutes early, but the two professors were already drinking tea in the office.

"Director Tian, ​​hello, Professor Zhang, hello!"

Although he was very excited, Qiao Yu still maintained basic courtesy.

"Here, sit down. Should we continue discussing yesterday's issues or..."

Zhang Yuantang, who had already rested, decided to have some exchanges with Qiao Yu this afternoon.

Although he was very tired from talking yesterday, after taking enough rest, Zhang Yuantang felt that he was in a good state today.

This is what Tian Yanzhen is happy to see.

To put it bluntly, just as Qiao Yu thought, inviting Professor Zhang to give this lecture was just to give Qiao Yu a small start.

This was also something I had said hello to in advance.

No matter whether Qiao Yu can finally solve a series of problems with prime numbers as he and Mr. Yuan expected, at least Qiao Yu is definitely the person who is currently most promising to make achievements in this direction.

As Qiao Yu's mentor, he will naturally not be stingy about continuing to invest in this direction.

Anyway, there is a fund every year to invite professors of sufficient importance to give lectures at the Mathematics Research Center.

As for who to invite, that is a matter of opinion. Publicly concerned and cutting-edge research directions are naturally one of the choices.

Qiao Yu has this ability and hopes to solve a series of prime number problems that are of great concern to the mathematical community, so this is not even considered favoritism.

At most it's just a little biased.

"Thank you, Professor Zhang. But you inspired me a lot yesterday. After I went back last night, I did some small work based on some of the ideas you gave me.

How about you take a look at the ideas I summarized last night, and then give me some advice to see if there are any immature aspects of my idea?"

Qiao Yu said politely.

Zhang Yuantang was stunned. He thought about the last question Qiao Yu asked yesterday about constructing modal space all night.

Even after having dinner with Tian Yanzhen, he read two papers and combined his research on prime numbers over the years to give Qiao Yu some suggestions.

As a result, this kid didn't play according to the routine...

"Oh? Let me take a look first." Zhang Yuantang nodded.

Qiao Yu immediately opened the bag, took out a thick stack of manuscripts, and then cut it into two parts.

One copy was handed to Professor Zhang Yuantang, and the other was handed to Director Tian.

At this time, Lao Xue's foresight was shown.

Tell him that there should be a printer in the study, which would be much more convenient. Apparently Lao Xue was right.

Printing two copies will prevent Director Tian from getting bored when Professor Zhang reads his manuscript. Qiao Yu has always been very careful in this regard.

Zhang Yuantang took the manuscript from Qiao Yu and subconsciously read the title: "Axiomatic system of generalized modal number theory on multiple transcendental spaces?"

"Yes, it's actually the modal space that we didn't finish discussing last night. But after I got back, I felt that using modal space to describe it was not quite accurate.

Because this system is not only modal space, but also modal numbers, modal mapping, etc., these concepts can only be constructed through the interaction of these concepts."

Qiao Yu nodded and replied.

Zhang Yuantang and Tian Yanzhen looked at each other, and then they both focused on Qiao Yu's manuscript.

After briefly browsing the introduction given by Qiao Yu, the focus was on the following arguments.

Then the first sentence made Zhang Yuantang a little confused.

Good guys, let’s customize a brand new mathematical structure Multitranscendental TS(λ,Ω).

λ represents the dimension, and Ω represents the set of all possible infinite boundaries.

Zhang Yuantang frowned and subconsciously raised his head to take a look at Qiao Yu, but found that the boy had already run to the bookcase behind Tian Yanzhen's desk.

Like planning to pick up a book to read while they look at this structure?

Okay, this can probably be regarded as being easy to learn, right?

Zhang Yuantang withdrew his gaze, this time completely focusing on the framework given by Qiao Yu.

One night, trying to build an axiomatic framework? To be honest, Zhang Yuantang is not optimistic about it.

He even wondered if Qiao Yu was enjoying himself. It is true that mathematicians have sufficient freedom, but this freedom is based on a strict logical reasoning process.

A complete axiom system requires not only rigorous logic but also applicability and stability.

Rigorous logic ensures the internal consistency and credibility of mathematics; applicability is related to the practical value of the system; stability means that there will be no self-contradiction in the expansion.

Rigorous logic is a must, while applicability and stability require a good balance.

In short, building a new axiom system is definitely a very challenging task.

Coming up with such a grand title in one night, and being able to feel the complexity just by looking at its structure, was enough for Zhang Yuantang to examine Qiao Yu's ideas with the most critical eyes.

As for Tian Yanzhen...

Well, although he was mentally prepared for Qiao Yu's ability to create miracles, he still had a slight feeling that Qiao Yu was joking.

Of course only a few.

What's more, I hope that Qiao Yu really has a more mature idea, at least it won't be a joke.

But after looking inside, Tian Yanzhen realized that this kid was not bold enough to joke around with everyone.

There's something about this manuscript.

In particular, not only is the definition very clear, but it also lists many detailed examples...

Tian Yanzhen even doubted whether Qiao Yu had prepared it in advance.

As for Qiao Yu, he had found a book that interested him, pulled it out, sat on the sofa next to Zhang Yuantang and started reading silently.

The two professors couldn't just sit around while they read his manuscript, right? Playing with their mobile phones at this time seemed to show disrespect for the professors, so they could only read.

Then the office became completely quiet. Only the occasional sound of turning the pages of a book was left.

In this way, the office was quiet for a full hour. Qiao Yu became bored while flipping through books, and even took out his mobile phone to chat with Qiao Xi who was still on the high-speed train.

Zhang Yuantang finally raised his head.

Qiao Yu had finished reading the manuscript, and his mind was a little confused. He didn't know how to evaluate it for a while.

He somewhat suspected that Qiao Yu was a lunatic, but he also sensed the mathematical prospects if this axiom system could really be built, because it was so flexible!

Under the axiom system that Qiao Yu plans to construct, it can be said that any number is a set, and any operation can cover all directions and unify mathematics in a sense.

It's very abstract, but incredibly flexible! Its practical significance is even greater than the Langlands Program.

Give the simplest example: 1+1=?

Any child who has attended kindergarten can clearly answer this math question.

But if under this axiom system designed by Qiao Yu, because N(1)={N_α,β(1)∣(α,β)∈all modal spaces}, N(2)={N_α,β(2) )∣(α,β)∈all modal spaces}.

So the equation becomes: N_α,β(1)⊕α,βN_α,β(1)=N_α,β(2)

If the modal parameters are brought in, it can also be transformed into: N_α,β(1)⊕α,βN_α,β(1)=N_α,β(2+δα,β)

Once in the periodic modal space, we can also draw the conclusion that N_α,β(1)⊕α,βN_α,β(1)=N_α,β(0).

Because this means that 1+1 will return to the modal value of "zero", forming a closed structure in the modal space.

etc……

So if we must give a general solution to 1+1 in this axiom system, it is: N(1+1)={N_α,β(1)⊕α,βN_α,β(1)∣(α,β)∈ All modal spaces}

For ordinary people to look at it, it is obvious that this is making a simple problem complicated.

But for a mathematician, especially a mathematician who studies number theory, I just feel that this is too flexible!

Different expressions directly represent different hierarchical structures and the meanings that mathematicians want to give them.

This means that in future papers, there is no need to customize a bunch of mathematical symbols with special meanings, and all mathematical structures can be integrated.

You must know that in traditional number theory research, many times in order to express a specific phenomenon or problem, the author has to customize a set of symbols or definitions for a specific structure, which not only increases the difficulty of understanding, but also is not conducive to general promotion.

There is no way, this is how traditional mathematical analysis works. There is also a nice name called custom framework.

But if Qiao Yu can really build this framework, it will mean that a highly flexible and unified mathematical language has been defined for number theory and even future algebraic geometry research.

You don’t need to redesign a set of symbols for a certain problem, you just need to choose the appropriate expression from this large framework!

It doesn't even matter whether this thing can solve the twin prime conjecture, because if this framework is really built and popularized, it will be equivalent to having something similar to a programming language for future mathematical research.

Tian Yanzhen, who was standing next to him, had obviously realized this. He looked up at Qiao Yu with a somewhat scrutinizing look, and a hint of confusion.

"Can you tell me the purpose of designing this axiom system?" Zhang Yuantang asked the first question after being silent for a long time.

"Isn't this what you said? When we study prime numbers, we start by classifying numbers. I am classifying all numbers. Don't you think this is very convenient for the subsequent study of prime numbers?

So of course the ultimate goal is to study prime numbers. Well, don't think this is a bit complicated, but I have actually thought about it. Under this framework, symmetry invariance analysis can be much more convenient.

Especially if you think about it, if I could build this system, wouldn't the twin prime conjecture become the modal distance relationship between pairs of prime numbers in different modal spaces?

Can't we build a bridge between number theory and geometry? In this way, when I am doing conjecture research, I can also include those geometric tools.

Use geometric tools to analyze number theory problems, symmetry, invariance, periodicity, curvature...

Think about it, in this way, tools such as geometry, topology, differential geometry, etc. can be directly used when doing number theory analysis. Will the perspective of analyzing number theory problems be broadened immediately? "

Qiao Yu said enthusiastically and quite proudly.

Of course, Qiao Yu also had selfish motives in designing this axiom system.

Qiao Xi will follow Grandpa Shi in the direction of geometry in the future. He has already made up his mind to do research in the direction of number theory. So how can the two of them work together on research?

Of course, a unified framework is needed.

By splitting a complex number theory problem into many geometric problems for analysis, he can openly include his mother in his research team.

This has yielded results, and no one can have any criticism. After all, his framework allows geometric methods to be used to solve number theory problems.

Just thinking about it makes me think this is a very interesting thing. Qiao Xi will become his most considerate assistant in future number theory research.

Obviously, for Qiao Yu, climbing a mountain peak alone is not as fun as climbing with two people together. Not to mention that it will give a greater sense of accomplishment.

But after saying this, Qiao Yu looked a little confused as Tian Yanzhen and Zhang Yuantang looked at each other.

He couldn't help but ask suspiciously: "Um, isn't what I said correct? Or is there something wrong with the current design of my system? That's why you are not so optimistic about it?"

Zhang Yuantang took a deep breath and said: "Based on the current simple definition and the few examples you gave, I can't see any problems yet, but..."

Qiao Yu quickly answered: "Sorry, Professor Zhang, let me interrupt. It is true that the examples I gave are simpler now, mainly due to time constraints, and I haven't had time to add more things.

But actually I still have a lot of ideas. And I have thought about it, this framework can completely include group theory, graph theory and other theories.

For example, if we want to define a modal group, it can also contain all possible modal mappings, and the group operation is defined as the composition of mappings.

In fact, this can also make the relationship between modal mappings look more intuitive. Well, how to put it... Yes, it is just like the role of classical symmetry groups in geometric transformations.

Let’s talk about graph theory. We can understand any modal space as a node, and the edges of the node directly represent the modal mapping. Think about it, can the relationship between the modal spaces be represented by the connection of the graph? ?

In this way, we can directly visualize the transformation relationship in the modal space, so that the relationship between the same modalities can be understood through the connection path of the graph..."

Qiao Yu became more and more excited as he spoke, and some ideas that he hadn't yet matured enough to think about sprung up in his mind like mushrooms after a spring rain.

Yes, after the introduction of graph theory tools, the relationship between modal numbers is no longer just an abstract symbolic operation, but the interaction of nodes and edges in the graph structure.

If graph theory is combined with group theory, the complex relationship of the modal group can be simplified into multiple relatively independent components by analyzing the connected components of the modal space graph...

Qiao Yu didn't even notice that he had stood up unknowingly, as if he was delivering an exciting speech.

Until the end, he gave a summary: "Wow! Really, I suddenly feel that I am a genius. How did I come up with such a powerful axiom system?!"

After saying this, Qiao Yu, who had been dancing around, seemed to realize that this was Director Tian's office. Looking at the two professors with strange expressions opposite him, Qiao Yu smiled awkwardly.

He put his raised hand on the back of his head and scratched it, then sat back down in his seat.

"That..." Qiao Yu felt that he had finished speaking, and then looked at Zhang Yuantang, waiting for the professor to continue.

He still needs some advice.

After all, this framework is still in its infancy. If we really want to establish this axiom system, there is still a lot of work to do.

After all, this is definitely an extremely huge systematic project! There is a lot of proof work to be done.

Even when integrating a theory, there is a lot of proof work to be done.

Definition of spatial properties modal number, basic axioms of modal mapping, modal operation rules and systems, geometric distances in modal space, topological properties...

These basic axioms are only what needs to be proved in the first stage, and they only represent the rationality of this framework.

In order for everyone to accept it and recognize its practicality, there will be a second stage, a third stage...continuously expanding the entire theorem system.

However, Tian Yanzhen, who had been silent before Zhang Yuantang spoke, suddenly spoke: "Yes, Qiao Yu, you are really a genius!

Huh...Qiao Yu, if you can really successfully build this axiom system, your contribution to the development of modern mathematics will be no less than Isaac Newton's contribution to the development of science in the world!"

That's right, Tian Yanzhen is talking about science, not just mathematics.

But in fact, what Qiao Yu focused on was not what the instructor said, but Tian Yanzhen's expression at this time.

Qiao Yu thinks that his mentor doesn't mind showing some true feelings in front of him.

However, it has been half a year since he came to Yanbei University, and he has met Tian Yanzhen many times. Director Tian has shown unabashed joy, appreciation, etc. for his progress...

But to be honest, he has never seen his mentor show such excitement so far...

Even if he is meeting Mr. Yuan across from him, or if his paper can be published in Ann.Math, Director Tian's emotions are actually expressed very implicitly, or just right.

But it was obviously different today. He could see the excitement in Tian Yanzhen's expression that he wanted to suppress but couldn't suppress well enough.

It felt like he had already proved the Riemann Hypothesis. Yes, Qiao Yu felt that even if he really proved the twin prime number conjecture, he probably wouldn't be able to make Director Tian so excited.

Later, Qiao Yu also felt that Zhang Yuantang's attitude was actually a bit strange.

The reactions of these two people also made Qiao Yu realize that he might have underestimated the axiom system or new mathematical framework he planned to build.

At this time, Zhang Yuantang also took a long breath and said seriously: "Yes, I also agree with Academician Tian's opinion. But Qiao Yu, this is definitely not a job that you can complete alone.

In other words, this is not a job that you can complete in a short period of time, such as ten or twenty years. Of course, this does not question your ability.

Because this work involves an almost massive proof process. What you should do is to be responsible for building the large framework, and leave the specific details of the proof work to other people in the team."

After speaking, Zhang Yuantang glanced at Tian Yanzhen.

In fact, what he said is very pertinent, but people all have selfish motives. If possible, he hopes to bring a group of people to join in this work.

But coincidentally, Qiao Yu's mentor was Tian Yanzhen, and he had also heard about the relationship between Qiao Yu and Yuan Zhengxin.

In other words, if Yanbei and Huaqing jointly develop this framework, they can form a team to supplement the framework.

After all, if Qiao Yu can really build a large framework, the detailed verification process can be completely handled by a team of outstanding doctoral students following the project.

Qiao Yu or the person in charge of the research team only needs to be the final check.

Zhang Yuantang believes that after learning about this team's project, no mathematics practitioner who understands its significance can withstand this temptation.

Even if it's just to enter the thank you list, it's hard for him to say this kind of thing.

Although Qiao Yu has only given out a possibility at present, this possibility now seems to be possible.

Because even though Qiao Yu only gave the simplest part of the idea, the logic is very rigorous. And it will work as long as you put it into consideration.

"So my idea is of extremely high value, right?" Qiao Yu asked after seeing everything in his eyes.

Although this was nonsense, Qiao Yu wanted to ask this.

Tian Yanzhen pursed his lips and ignored him. He had already commented and didn't want to answer such boring questions anymore.

He has already said that his contribution to the scientific community is comparable to Newton's, so how can it be valuable?

Should we add Einstein into the mix?

Zhang Yuantang, on the other hand, asked nonchalantly: "Qiao Yu, how many papers have you read?"

Qiao Yu thought for a while and replied: "There are more than thirty articles so far."

After saying that, Qiao Yu added: "Although I haven't read many, they are all papers that are worth reading, such as Professor Zhang's two heavyweight papers."

Although Zhang Yuantang felt that Qiao Yu's flattery was really useful, he just smiled and said, "You will probably understand after you have read hundreds of good and bad papers."

After saying that, he looked directly at Tian Yanzhen next to him.

Tian Yanzhen, who had been thinking about it for a long time, met Zhang Yuantang's gaze and said, "Why don't I invite Mr. Yuan to come over and have a chat? This idea does need to be treated with caution. Let's see how to establish the project."

Qiao Yu opened his mouth but said nothing.

Although he came up with this idea, it seemed that Director Tian didn't even think of asking for his opinion.

Zhang Yuantang was just stunned, and then nodded.

So Tian Yanzhen took out his mobile phone.

"Mr. Yuan, are you busy?"

"Qiao Yu has some very interesting ideas, which have already taken shape. If you have time now, I hope you can come and listen to his ideas."

"Well, Professor Zhang Yuantang is also here."

"Okay, I'll wait for you."

After a few words, Tian Yanzhen hung up the phone, then looked at Qiao Yu and said, "Mr. Yuan will be here in about fifteen minutes. Qiao Yu, go down and wait, and Mr. Yuan will be picked up later." "

After saying that, Tian Yanzhen picked up Qiao Yu's manuscript again and started reading it from the beginning.

"Okay, Director Tian." Qiao Yu agreed and walked out of the office. It was obvious that he didn't want him to talk nonsense here for the time being.

Zhang Yuantang also looked at Qiao Yu, said nothing, and also picked up the manuscript.

In fact, it's quite good. This attitude shows that Director Tian will fully support him in making this framework, which also means that Qiao Xi can start doing research while learning.

Mr. Yuan has been called over. There is no reason for his own project to be advantageous to outsiders, and he must not suffer a loss if there are old people here.

…

Yuan Zhengxin is in a good mood today.

Specifically, he must have been in a good mood since the day before yesterday. Qiao Xi took the initiative to ask if she could come before school started, which really surprised the old man.

Both mother and son are studious people, which is quite good.

If you have talent and are willing to learn, age will not be a problem. Although mathematics is a bit difficult for a late bloomer, it is not impossible, not to mention that Qiao Yu will help in the future.

In short, Yuan Zhengxin is still very optimistic about Qiao Xi's future development.

Originally, he planned to wait for Qiao Xi to come over in Huaqing today, make arrangements for his female students, and then call Qiao Yu over for a meal in the evening.

Unexpectedly, Tian Yanzhen called him again. Although he spoke in an understatement, Yuan Zhengxin could tell that his former student's tone was serious.

Okay, what new trick did Qiao Yu come up with?

After deciding to come and take a look, he called the driver sent to pick up Qiao Xi and asked him to take Qiao Xi directly to the Yanbei Digital Research Center.

After all, Qiao Xi was almost here at this time. When Zhang Yuantang was also there, Tian Yanzhen called him there specifically, and it would definitely not be possible to talk clearly soon.

Soon, the car arrived at Yanbei Mathematics Research Center. Before getting off the bus, he saw Qiao Yu already standing at the door of the research center.

As soon as the car stopped, Qiao Yu rushed over in three steps, opened the car door thoughtfully, and then directly lifted the old man's arm.

"I'm not too old to walk yet." Yuan Zhengxin said with a smile.

"I know, but grandpa, my teacher specially asked me to come down to pick you up. I have to do something, right?"

"You are the most naughty. By the way, you did something terrible, and your teacher even called me here."

"It's not a call, it's a please! Well, I just made a universal axiom framework, but the teacher said that if I can really perfect this axiom system, my contribution to modern mathematics will be greater than Newton's contribution to the scientific development of the world.

The contribution is greater.”

Qiao Yu did not hesitate to use Tian Yanzhen's words to praise himself again.

This sentence made Yuan Zhengxin pause for a moment, turned his head to look at the well-behaved young man beside him, and asked seriously: "Did Tian Yan really say that?"

Qiao Yu nodded proudly and said, "Yes, I haven't changed a word of the original words."

"A universal axiomatic framework for mathematics, greater contribution than Newton's? Have you proved all the correspondences of the Langlands program?" The old man was a little surprised.

Qiao Yu shook his head. He didn't know how to explain it for a while, so he simply said: "Well... I have a manuscript. You will know when you go up and read it."

"Walk faster." Yuan Zhengxin quickened his pace.

…

"Mr. Yuan."

"Old Yuan."

"Well, it's been a long time, Professor Zhang. Okay, let's stop talking nonsense. Where is the manuscript? Let me take a look." Yuan Zhengxin casually greeted Zhang Yuantang, then turned to Tian Yanzhen and said.

Tian Yanzhen handed over the manuscript in his hand.

Yuan Zhengxin took the manuscript, found a seat and sat down, then pointed at Qiao Yu: "Come here and sit next to me. I will ask questions at any time."

"Okay." Qiao Yu nodded and sat down obediently.

When Qiao Yu sat next to him, Mr. Yuan carefully read Qiao Yu's manuscript.

Seeing this scene, Zhang Yuantang shook his head. Those rumors seemed not to be exaggerated at all. This faction was truly and closely integrated.

Zhang Yuantang felt a little sad for a moment and thought too far.

The day this axiom system was born, China's status in the world of mathematics was probably infinitely elevated.

Well, the Northern Qing School wants to unify the world?

It took 11 days to complete the 10,000-word clock! It’s finally done, brothers! Pudding is really a good author who keeps his word!!
Chapter completed!