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 like 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 appear in this world, and they 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 came to the conclusion that the speed of light is constant and the relativity of time and space.
After all, the core idea of the special theory of relativity of this physics expert directly challenges the intuitive understanding and empirical common sense of Newton's classical mechanics.
How can time expand if it is eternal?
How can 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 conserved separately 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 understood it so 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. Qiao Yu's ideas are more free.
In order to save time when asking Professor Zhang for advice tomorrow, Qiao Yu fell into an exciting state of creation.
He needed 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 change with the modal space (α, β) changes to show different modal characteristics.
It is denoted 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.
The formula is expressed as:
This means that although the modal space is changing, the modal unit number always behaves as a unit element 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 field of complex numbers:
The concept of the automorphic representation space of the Langlands program has essentially been introduced here. In other words, the automorphic representation space is correspondingly structured.
Similarly, 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) has:
In addition, for better operation in the future, the modal unit number must be self-referential.
A simple 1, in this framework, can be either a complex phase modal unit number, an exponential recursive unit number, or a multi-dimensional representation of the 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 feeling of creation is very exciting. It was as if a brand new digital universe was really being constructed, and Qiao Yu was even directly 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 for the time being. He only needs to construct this multi-level structure containing different modal spaces.
Then tomorrow I will discuss it with Professor Zhang who gave him this suggestion. 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 leads 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 you are so passionate about mathematics, because you are so focused that you forget your sleepiness. I accidentally stayed up until early morning.
But it doesn’t matter. Because when he felt sleepy, he really couldn't hold on for a second.
As for washing, it has become a very luxury thing at this time.
I stood up and staggered into the bedroom. As soon as I lay down on the bed, I was snoring slightly in less than thirty seconds.
This way I can often sleep very soundly.
......
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 his peers...
But now that 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 job, 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 the good old man chose for him was quite good and suited him well.
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 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 teacher who invited him to teach him experience and knowledge even harder.
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 was not very rewarding.
Because the content of the lecture to the public is actually similar to the ideas expressed in the paper.
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 when some professors are teaching, these two words often appear on the blackboard.
So often 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 type is for the boss to explain in just a few lines and give proof. That's really, really obvious, and it makes 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 this thing does not seem to be so obvious. He cannot prove it for a while, which makes the person giving the lecture on the stage look like a fool.
This situation was not only embarrassing at the time, but 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 bolder. Some new ideas can be discussed without any scruples.
So 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 did not ask him to go to dinner together.
I just mentioned to him that if I go to his office at two o'clock in the afternoon, Professor Zhang will be there.
Well, I can only say raw points.
But Qiao Yu thought it was good, at least he had an extra hour in the afternoon to clear his mind.
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 a full 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 greeted 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 most promising person to make achievements in this direction.
As Qiao Yu's mentor, naturally he will 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. Research directions that attract public attention and are cutting-edge are naturally one of the choices.
Qiao Yu has this ability, and he 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 is 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.
He even talked to After Tian Yanzhen finished eating, he read two papers and combined his research on prime numbers over the years to give Qiao Yu some suggestions.
But this guy didn't follow the rules... …
"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 divided it into two.
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 read out the title subconsciously: "Axiom system of generalized modal number theory on multiple transcendental spaces?"
"Yes, actually it was what we did last night The modal space has not been discussed yet, but let’s go back. Later, I felt that using modal space to describe it was not accurate.
Because this system is not only modal space, but also modal number, 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 subsequent argument.
The first sentence made Zhang Yuantang confused.
Hey guys, let’s customize a new mathematical structure MultitranscendentalSpaces, or MTS (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 they are going to pick up a book to read while they are looking at this structure?
Okay, this can probably be regarded as a good study, right?
Zhang Yuantang withdrew his gaze, this time completely focusing on the framework given by Qiao Yu.
Trying to build an axiomatic framework in one night? To be honest, Zhang Yuantang is not optimistic.
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 during expansion.
Logical rigor is a must, and applicability and stability need to be balanced.
In short, building a new axiom system is definitely a very challenging task.
Coming up with such a grand title in one night, and the complexity that can be felt just by looking at its structure, is 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 to be good at creating miracles, he also had a slight feeling that Qiao Yu was joking.
Of course there is only one.
More importantly, I hope 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 is something about this manuscript.
Especially because the definition is not only very clear, but also many detailed examples are thoughtfully listed...
Tian Yanzhen even doubted whether Qiao Yu had prepared it in advance.
As for Qiao Yu, he had already found a book that interested him, then took it out, sat on the sofa next to Zhang Yuantang and started reading silently.
The two professors couldn't just sit there stupidly while they read his manuscript, right? At this time, playing with mobile phones seems to show disrespect for professors, so I can only read books.
So the office became completely quiet. Only the occasional sound of turning the pages of a book remains. 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. .
Very abstract, but incredibly flexible! The practical significance is even greater than the Langlands Programme.
Give the simplest example: 1+1=?
Any child who has attended kindergarten can clearly tell the answer to this math problem.
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 this equation becomes: N_α, β(1)⊕α, βN_α, β(1)=N_α, β(2)
If the modal parameters are brought in, then 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 get N_α, β(1)⊕α, βN_α, β (1)=N_α, β(0) conclusion.
Because this means that 1+1 will return to the modal value of "zero", forming a closed structure in the modal space.
Wait...
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 complicating a simple problem.
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 to give them special meanings, and to integrate all mathematical structures.
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.
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, just 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 made and popularized, it will be equivalent to having something similar to a programming language for future mathematical research.
Obviously Tian Yanzhen next to him has also 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? Next, we will classify the prime numbers. Research?
So of course the ultimate goal is to study prime numbers. Don’t look at this as a bit complicated, but I have actually thought about it. Under this framework, it can be used for symmetry invariance analysis. 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...
If you think about it, tools such as geometry, topology, differential geometry, etc. are doing number theory analysis. It can be used directly when analyzing number theory problems. Doesn’t the perspective of analyzing number theory problems become broader at once? "
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 geometric direction from now on. 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.
No one can criticize us if we get results this way. After all, his framework allowed geometric methods to be used to solve number theory problems.
Just thinking about it makes me think this is an interesting thing. Qiao Xi will become his most considerate assistant in future number theory research.
Obviously, for Qiao Yu, climbing a peak alone is not as fun as climbing with two people. Not to mention it would be more fulfilling.
After saying this, Qiao Yu looked a little confused as Tian Yanzhen and Zhang Yuantang looked at each other.
He couldn't help but asked suspiciously: "Um, isn't what I said wrong? Or is there something wrong with the current design of my system? So you are not optimistic about it?"
Zhang Yuantang took a deep breath He took a breath and said: "Based on the current simple definition and the few examples you gave, there is no problem 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 in fact, I still have many 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, while group operations The algorithm 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 classical symmetry group in geometric transformation. Function.
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, is the relationship between modal spaces like this? Can it 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. , some ideas that were not yet mature were popping up in my mind like mushrooms.
Yes, after the introduction of graph theory tools, the relationship between modal numbers is no longer just about it. Abstract symbolic operations, but the interaction of nodes and edges in the graph structure.
If graph theory is combined with group theory, the complex relationships of modal groups can also be analyzed by analyzing the connected components of the modal space graph. It can be simplified into multiple relatively independent components...
Qiao Yu didn't notice that he had stood up unknowingly, as if giving an exciting speech
Until the end, he gave a summary: "Wow! Really, I suddenly felt that I was a genius. How did I come up with such a powerful axiom system?!"
After saying this, Qiao Yu, who had been dancing all the time, 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 every time a theory is integrated, there is a lot of proof work to be done.
The definition of modal number of space properties, the basic axioms of modal mapping, the modal operation rules and systems, the geometric distance and topological properties in modal space...
These basic axioms also It is only what needs to be proved in the first stage, and it only represents the rationality of this framework.
In order for everyone to accept it and recognize its practicality, there will be a second stage and a third stage... to continuously expand 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 build it successfully If you come up with 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 said that! Science, not just math.
But in fact, what Qiao Yu focused on was not what the instructor said, but Tian Yanzhen's expression at this time.
Qiao Yu thought that his mentor didn'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 tutor show such excitement so far...
Even if he meets Mr. Yuan across from him, or if his paper can be published in Ann .Math, Director Tian’s emotions were actually expressed very implicitly, or just right.
But today is obviously different. He could see the excitement in Tian Yanzhen's expression that he wanted to suppress but couldn't suppress well enough.
It feels like he has 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.
Then 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.< br>
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 have to do should be responsible for building the large framework, and leave the specific details to other people in the team. "
After saying that, Zhang Yuantang glanced at Tian Yanzhen.
In fact, what he said was very pertinent, but people all have selfish motives. If possible, he hopes that he can also Bring a group of people to join in this work.
But coincidentally, Qiao Yu’s mentor is Tian Yanzhen, and he has also heard about the relationship between Qiao Yu and Yuan Zhengxin.
In other words, if Yanbei and Huaqing jointly develop this framework, it will be enough. Assemble a team to complement the framework
After all, if Qiao Yu can really build a large framework, a team of outstanding doctoral students can be formed to handle the detailed verification process.
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 is just to enter the thank you list, it is difficult for him to say such words.
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 only works if you put it in and think about it.
"So my idea is of extremely high value, right?" Qiao Yu asked after seeing everything in his eyes.
Although this is nonsense, Qiao Yu just 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 science is comparable to Newton's, so how can it be valuable?
Should we add Einstein into the mix?
On the other hand, Zhang Yuantang asked nonchalantly: "Qiao Yu, how many papers have you read?"
Qiao Yu thought for a while and replied: "So far, there are more than thirty papers. "Yes."
After that, Qiao Yu added: "Although I don't read much, they are all worth reading. papers, such as Professor Zhang’s two important papers.”
Although Zhang Yuantang did feel that Qiao Yu’s flattery was very useful, he just smiled with the corner of his mouth. , 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."< br>
Qiao Yu opened his mouth but said nothing.
Although he came up with this idea, it seems 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 interesting ideas, which have already taken shape. If you have time now, I hope you can come and listen to them. His thoughts."
"Well, Professor Zhang Yuantang is here too."
"Okay, waiting 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 and read it from the beginning again.
"Okay, Director Tian." Qiao Yu agreed and walked out of the office. This is obviously because he doesn't want to talk nonsense here for the time being.
Zhang Yuantang also glanced at Qiao Yu, said nothing, and also picked up the manuscript.
Actually it’s pretty good. This attitude shows that Director Tian will fully support him in developing this framework, which also means that Qiao Xi can start doing research while learning later.
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 the old man is here.
……
Yuan Zhengxin is in a good mood today.
To be specific, I should be 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, which is 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 is almost here at this time. When Zhang Yuantang was also there, Tian Yanzhen specially called him there, and it would definitely not be possible to talk clearly quickly.
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, what did you do that was so terrible? Your teacher even called me here specifically.”
“It’s not a call, it’s a invitation!” 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 development of world science.”
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 axiom framework for mathematics, which has made greater contributions than Newton? You put the Langlands Program Are all the correspondences proven?" The old man was a little surprised.
Qiao Yu shook his head and didn't know how to explain it for a while, so he simply said: "Well... I have the manuscript. You will know when you go up and read it."
"Go faster. ." Yuan Zhengxin quickened his pace.
……
"Mr. Yuan."
"Mr. Yuan."
"Well, Professor Zhang, long time no see. Okay, let's stop talking nonsense. Where is the manuscript? Let me take a look." Yuan Zhengxin said casually After saying hello to Zhang Yuantang, he 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.
Zhang Yuantang shook his head when he saw this scene. It seems that those rumors are not exaggerated at all, this faction is really and tightly integrated.
For a moment, Zhang Yuantang felt a little sad and thought too far ahead.
The day this axiom system was born, China’s status in the world of mathematics was probably going to be infinitely elevated.
Well, the Northern Qing School wants to unify the world?
The 10,000-word punch-in was completed in 11 days! It’s finally done, guys! Pudding is really a good author who keeps his word! !
(End of this chapter)