Chapter 144 About the axiom system of generalized modal number theory in multiple transcendent spaces
After this meal, Qiao Yu took Qiao Xi to play in the capital for three days. Then Qiao Yu was informed that he could not return to Star City this summer vacation.
Because next Tian Yanzhen invited Professor Zhang Yuantang from the University of California, Santa Barbara to give a lecture.
For Qiao Yu, who is determined to solve the twin prime conjecture, this lecture is definitely not to be missed.
In addition, there will be a Natural Science Foundation scientific research review meeting in late August. Tian Yan really hopes that Qiao Yu can also attend to gain knowledge.
Going home in this situation is a waste of time. So when we go back, it can only be Qiao Xi and Xia Keke.
Mr. Yuan asked Qiao Xi to come to Huaqing to report in mid-September.
Unlike Qiao Yu’s situation, Qiao Xi may enroll in Huaqing in a 3+2+3 way.
So she needs to go back to Star City to prepare a series of information and corresponding certificates.
Then I came to Huaqing and took basic courses honestly with the leading class. Because Qiao Xi's foundation in advanced mathematics is slightly worse than Qiao Yu's.
However, in Mr. Yuan's view, these don't matter. It's just a matter of working hard for substitute lecturers and professors to do more.
Mr. Yuan felt that the professors should be very happy.
There are not only few female students in science and engineering, but also few female professors. Qiao Xi is very beautiful and has an indescribable temperament. In Tan Luyuan's words, she is like a star.
Yuan Zhengxin was even afraid that Qiao Xi's arrival would make the professors who were not too old and single and not single become agitated.
The excellence of some people requires in-depth understanding to know. But some people's excellence can be seen on the outside. It's unfair, but there's nothing we can do about it. This world has never been truly fair since the day society was born.
At 34 years old, in the world of mathematics, he is no longer young from a research perspective, but in terms of age alone, he is actually not too old.
Those who have not yet graduated with a Ph.D. at this age cannot be counted as an exception. Huaqing has it ready.
Even if Qiao Xi has a child, it will still be Qiao Yu. This even became a plus.
Mr. Yuan even felt that he had to keep an eye on Qiao Xi. Those careful professors must keep them away from Qiao Xi.
……
As for Qiao Yu, if Mr. Yuan hadn't asked Qiao Xi to come to Huaqing to study, he would probably have resisted Tian Yanzhen's arrangement a little.
It was finally summer vacation, but it was a bit too much to not let him go home. Even the donkeys in the production team need to rest properly, right?
However, considering that Qiao Xi will come to the capital in September and will be able to see her every day from now on, the young man's restless heart has been healed.
It doesn’t matter.
If you can’t, just don’t. Anyway, he is not the only one at the Mathematics Research Center who cannot go back.
Qiao Yu felt that nothing was wrong, and the most depressed person was Xia Keke.
On the last day of the summer camp, Qiao Yu took Xia Keke to visit Mr. Yuan again.
In other words, Xia Keke performed well. But with Qiao Xi Zhuyu in front, it seemed a bit ordinary.
So Mr. Yuan just gave a few words of encouragement.
The general meaning is that you still have to study hard, and you still have to take the college entrance examination. But there is no need to stick to mathematics, or mathematical research.
This is also understandable.
After the tutor's appetite has been cultivated, children with slightly less talent are somewhat looked down upon. After all, ordinary intelligence and genius intelligence are two types of intelligence.
If it must be explained, it is probably that the upper limit of the former can be roughly estimated, while the upper limit of the latter cannot be estimated at all.
Mr. Yuan even muttered a few words before leaving, saying Qiao Xi had wasted more than ten years. If he had met him ten years earlier, his current achievements would probably be limitless.
Qiao Yu liked to hear this sentence. But even if pushed back ten years, Qiao Xi would still be forty-four years old. Qiao Yu felt that he was actually quite young.
As for Xia Keke, she was probably shocked.
Qiao Yu was admitted to Yanbei University in advance without taking the college entrance examination. In fact, she could understand. Her Aunt Qiao was actually admitted to Huaqing University in advance, and was accepted as a student by Mr. Yuan...
It felt like the young people's outlook on life had been subverted.
She knew that Aunt Qiao was also very powerful, but she really didn't expect that she could be so powerful.
The only pity is that Qiao Xi repeatedly told her not to tell anyone about it for the time being.
He could only hold it in his heart, which made Xia Keke very depressed. Forget about being unable to come with Teacher Yang, Qiao Xi even asked her not to tell her parents for the time being...
Fortunately, Xia Keke didn't hold it in for too long.
After returning to Star City, this matter inevitably spread not long after.
There is no way for adults to apply for student status. It is not as simple as it is for students in school.
You need to deal with the community and various management departments in the area, such as the district education bureau, police station, etc., and you also need to go to Qiao Xi’s alma mater of high school to complete some procedures.
Thanks to Qiao Yu, Qiao Xi happens to be a celebrity nearby, and the head of the district education bureau happens to be Principal Zhang, who has just been promoted from Xingtie No. 1 Middle School...
So although Xia Keke remained tight-lipped during the summer vacation , it was uncomfortable to hold back, but Lao Xia and Liu Lu still learned the news from other people.
No way, there are too many sources of information.
......
"Coco, Qiao Yu's mother is going to Huaqing to study? Do you know about this?"
"Hey, how did you know?"
"I heard what your Aunt Wang said when I was on duty. She also said that the news spread among the parents of Tieyi Middle School."
"Ha, I’ll just say it. Of course I know. Not only do I know that Aunt Qiao is going to Huaqing, but I also know that Academician Yuan wants to accept Aunt Qiao as a student.”
"Academician Yuan? Another academician? I remember Qiao Yu's mentor was also an academician."
"Academician Yuan Zhengxin, go search it on Baidu! He is a very powerful mathematician. He is the mentor of Professor Qiao Yu, a Fields Medal winner? Well, you know about the Fields Medal?”
"Is this... the reason for Qiao Yu?"
"It must be more than just Qiao Yu. Academician Yuan arranged the exam for Aunt Qiao. As a result, Aunt Qiao passed. Hey, in fact, Qiao Yu also helped I took a chance, but unfortunately I failed. < br>
But Academician Yuan also told me that as long as I maintain my current grades, it will not be difficult to pass the college entrance examination to Yanbei or Huaqing..."
While eating, I heard Xia Keke say something Dui also completely shocked the two of them.
Before downstairs, they had always felt sorry for the mother and son. One went to Yanbei and the other was about to go to Huaqing. Their future achievements were probably beyond their reach.
It would be understandable if Qiao Yu was suddenly discovered. After all, he is still a genius who is studying. You can often see this kind of thing in the news.
But Qiao Xi is in her thirties after all, and she is not a student at school... Really, it seems like there are no movies like this.
This makes people feel somewhat unreal.
The most important thing is that these two people are neighbors they have been in contact with since childhood, and they are people living around them.
So much so that when they went to bed at night, the two of them were still talking about it.
"Qiao Xi is also a genius in mathematics? I can't tell."
"Nonsense. Can we tell? Have you seen that Qiao Yu is a genius before?"
"That's right. , but is this a good thing? Qiao Xi likes Keke very much. Wait until Keke takes the college entrance examination. , I also had someone to take care of me when I went to Beijing.”
“Yes, during the parent-teacher meeting, the teacher said that Keke really hoped to get into Yanbei or Huaqing, hehe...”
"Okay, stop giggling and go to sleep."
...
When the old Xia family knew about this, it basically meant that the entire community already knew about it.
The specific manifestation is probably that more and more people come out to say hello to her...
There is no doubt that the neighbors' reputation for the Qiao family has reached its peak, but for For Qiao Xi, this is undoubtedly a very troublesome thing.
In fact, it is not just the railway community that is affected.
Qiao Xi's high school alma mater, Xingcheng No. 1 Middle School, was actually very confused. It was very inexplicable. A student who graduated more than ten years ago was suddenly admitted to Huaqing?
And it is said that he is a student appointed by Mr. Yuan...
Of course, for Xingcheng City No. 1 Middle School, the news is not just that simple.
After all, Qiao Yu has become a legend in the Star City education system. Even the current leaders of the city’s No. 1 Middle School did not expect that Qiao Yu’s mother actually attended her own school sixteen years ago.
And Qiao Xi’s situation is quite special.
I have been unemployed since graduating from high school. After my school records were sealed for a period of time, they were transferred to the local talent management center.
So the situation that troubled Qiao Xi also made things much simpler.
After all, if someone else encountered this situation, the school would probably let him go to the talent center to adjust his grades.
But when Qiao Xi went to consult how to handle this matter, the school specially sent two teachers in charge of student status to contact the talent center to help find Qiao Xi’s student status.
Coupled with the cooperation of the education department and teachers specially sent from Huaqing to help with various matters, the whole process went very smoothly.
And according to Zhang Tiejun, in order to facilitate this matter, Mr. Yuan rarely called the ministry directly. It is said that he begged the leaders to make an exception for the development of Chinese mathematics.
In short, this August has been more fulfilling for Qiao Xi than ever before, and it also made her realize that she really can’t stay in Xingcheng...
After all, she really can’t adapt to going out every day. A life where you will be watched and invited almost every day.
Even the principal of No. 1 Middle School tentatively asked if he was willing to be interviewed...
Qiao Yu accepted the interview. Qiao Xi only found it interesting, but let her go for the interview... Qiao Xi I feel like she's definitely going to mess everything up.
So, after completing all the procedures in Star City, Qiao Xi contacted Mr. Yuan once, and then chose to go directly to Huaqing before September.
After confirming the itinerary with Mr. Yuan, Qiao Xi invited Lao Xia and his family to have a meal at a better restaurant in Star City, and boarded the high-speed train to the capital the next day.
......
While Qiao Xi was busy processing her student registration, Qiao Yu was not idle in the capital either.
In fact, Qiao Yu was also very excited during this period. It should be said that he was always in a state of excitement.
Qiao Xi actually came to Huaqing to study. This was undoubtedly the biggest surprise at this stage of life for Qiao Yu.
So naturally I am very motivated.
The proposal report on solving the twin prime conjecture has already been submitted to Director Tian.
However, Qiao Yu did not think about this issue during this period. Instead, he supplemented the relevant knowledge of number theory and the contents of the Langlands Program.
Although Qiao Yu does think very highly of himself, he is still a little in awe of this kind of world-wide problem.
As Tian Yanzhen said, if these problems were so simple, a mathematician would not spend his whole life on them and get nothing.
For example, the Riemann Hypothesis, although it is one of the seven major conjectures listed in the millennium, was only proposed by Riemann in 1859.
A century and a half has passed now, and God knows how many studies and papers have been based on its establishment over the years.
Although the twin prime conjectures are two independent problems from the perspective of number theory, their commonality is that they are closely related to the distribution of prime numbers.
It can be said that if the twin prime conjecture can be proven, then the mathematical tools and techniques used will most likely also help prove the Riemann Hypothesis.
Qiao Yu wanted to prove himself as soon as possible. If telling Tian Yan that he really wanted to solve this problem directly was a bit of bragging, now he was really thinking about it.
On August 17, after lunch, Qiao Yu was reading papers in his small study room as usual.
What Qiao Yu is studying today is "Langlands Fundamental Lemma and Its Application".
This is a paper by NgoBaoChau, a Vietnamese mathematician, which is very interesting. He used geometric methods to prove the fundamental lemma of automorphic forms in Langlands program.
This breakthrough was rated as one of the top ten scientific advances in 2009 by Time magazine, which had some credibility at the time.
It was precisely because of this achievement that the Vietnamese mathematician won the Fields Medal in 2010.
Of course, this mathematician also became the first and only Fields Medal winner in Southeast Asia.
Just when he saw the exciting point, Qiao Yu received a call from Tian Yanzhen.
"Come to my office quickly."
After saying that, Tian Yanzhen hung up the phone without waiting for Qiao Yu to respond.
Qiao Yu couldn't refuse the mentor's call.
After standing up and stretching, he hurried downstairs and came to Tian Yanzhen's office.
Actually, Tian Yanzhen is somewhat elusive in Qiao Yu's opinion.
Most of the time, he didn't know whether his mentor was in the research center.
His study and research are now increasingly in a free-range mode.
In the initial stage, half a day every week will be set aside to answer questions for him. But recently the Q&A time has been canceled directly.
The reason given by Director Tian is that he now has a clearly targeted topic and no longer needs a tutor to answer questions for him.
The only thing left now is the study and research progress report on Monday. This was not what Tian Yanzhen asked for, but what Qiao Yu did on his own initiative.
Of course, as a mentor, you can ignore the content of Qiao Yu's weekly report.
But if there is no reply for a long time, Qiao Yu will ask: "Are you satisfied with my study and research results this week?"
If you don't read it yet, it will embarrass the instructor.
After all, such a good seedling will make the instructor worry about gains and losses.
You can’t just reply with satisfaction without even looking at it.
With Qiao Yu's cleverness, he could definitely tell that the instructor didn't look at these things at all. Then will this kid start to be perfunctory in the next week?
So in a sense, Qiao Yu continued to PUA his dear mentor in a very conscious way.
Academicians Tian Yanzhen and Yuan Lao, no matter how busy they are, must spare one or two hours every week to understand what Qiao Yu did last week.
Of course, this method is not suitable and cannot be popularized. Let's put it this way, because if the big boss is really an academic master and doesn't have the talent to dare to play like this, not only will he not be taken seriously, but he may also be directly blocked.
The reason is also very simple. When talking about gains, if it is not handled well, many times the results that make students feel proud will be very ridiculous in the eyes of well-informed bosses.
To paraphrase what a well-known tutor from Yanbei said when teaching students: "You are really amazing. You can always come up with 10,000 ways to make people feel that I am really useless in the field of education."
……
Arriving at Director Tian's office, Qiao Yu knocked on the door as usual and went straight in. To his surprise, there was another person in the office today.
"You are here, let me introduce you..."
"No need, Director Tian, I know Professor Zhang Yuantang. I have seen Professor Zhang's photo on the Internet. Zhang Hello, professor, I have read your paper, it is very interesting."
Qiao Yu answered quickly.
"Cousin Yuan, you see, this guy is not honest at all." Tian Yanzhen shook his head, pointed at Qiao Yu and said with a smile.
Of course, not really angry.
Tian Yanzhen knew Qiao Yu’s little thoughts and recognized him directly, which obviously showed more importance to Professor Zhang than him introducing him.
After Zhang Yuantang looked at Qiao Yu, he also laughed and sighed: "She is indeed very young. Stop standing and sit down."
After that, Zhang Yuantang took the photo He patted the sofa next to him.
Qiao Yu immediately sat over obediently.
Of course he knew that Director Tian specially invited this professor here because he chose the twin prime conjecture.
After all, the professor in front of me is one of the top mathematicians in this field in the world.
It was also after this mathematician proved for the first time that there are infinitely many finite intervals between prime numbers that the number theory community launched a large-scale collaborative project.
Reduced his spacing cap from 70 million to 246.
This is all the information that Qiao Yu has checked recently.
Mathematics is like this. Once someone gives a direction and breaks through a certain bottleneck, others will soon be able to take it a big step forward. Until the next bottleneck appears.
Although Qiao Yu does not think that Professor Zhang’s method can really completely solve the twin prime conjecture and also solve the situation where the distance is 2, the accumulation of these older generation professors on this problem The experience he received was indeed what he needed most.
And these experiences will not be fully reflected in the paper.
After a few pleasantries, Zhang Yuantang got to the point: "I heard from your tutor that you plan to do research on the twin prime conjecture?"
Qiao Yu nodded and said: "Yes, Professor Zhang, I have always been interested in the distribution of prime numbers."
"Oh?"
Zhang Yuantang smiled and asked: "You are interested in the distribution of prime numbers. Why did you stop focusing on the Langlands Conjecture in geometry? I have also read your paper and always thought that you might be more interested in algebraic geometry."
Qiao Yuhao He opened his mouth without hesitation: "Because I have studied your paper, and I feel that the twin prime conjecture and the Riemann Hypothesis cannot be fully proved with the existing tools, whether it is the sieve method or the automorphic form.
I think Langlands. The program may be a breakthrough to solve this problem. Starting from symmetry and the properties of invariants, try to build a new algebraic geometry framework, and even use geometric language to express the characteristics of prime numbers.
So if you look at my previous research, they are actually the foundation for the final solution to the prime number problem. As for helping Professor Dennis’ team perfect the proof of the geometric Langlands conjecture, that was an accident. "
"Accident? "Zhang Yuantang was startled, then shook his head, and nodded again.
Then he glanced at Tian Yanzhen who was drinking tea. He seemed to know what it means that newborn calves are not afraid of tigers.
I couldn't help but ask: "Then do you know what a new framework represents? "
Qiao Yu nodded and replied: "You know, for example, this means that I have to build a new axiomatic system from scratch. We also need to make this system at least recognized by the mainstream mathematics community. ”
After studying these days, Qiao Yu felt more confident when talking to Zhang Yuantang.
Zhang Yuantang subconsciously glanced at Tian Yanzhen, who was drinking tea silently next to him, and also smiled, and continued to ask: "So you plan to do this work alone? Build a new axiomatic system, and then Prove the twin prime conjecture?”
Seeing Zhang Yuantang’s smile, Qiao Yu also smiled and replied: "Why not? Professor Zhang. Well, actually it doesn't have to be one person. If necessary, I may invite my mother to join my team."
"Your mother?" Zhang Yuantang was stunned, probably because he couldn't understand where Qiao Yu's confidence came from.
In fact, if he hadn't been studying twin prime numbers, maybe he wouldn't have such doubts.
"Qiao Yu's mother Qiao Xi is currently a student of Mr. Yuan Zhengxin." Tian Yanzhen explained next to him.
After saying that, Tian Yanzhen glared at Qiao Yu.
If he didn't explain this sentence, he was afraid that Zhang Yuantang would think that Qiao Yu was fooling around.
"Oh?" Zhang Yuantang glanced at Tian Yanzhen, a little confused. He had heard of Qiao Yu's name, but Qiao Xi...
Wait a minute, Zhang Yuantang suddenly thought of the paper Qiao Yu had just published on Ann.Math not long ago. There seemed to be a second author with such a name. .
Mother and son co-authored a paper?
"Okay...if it is a new axiom system..."
After a long silence, Zhang Yuantang shook his head and said seriously: "Since you have this idea, you must have studied it. After that, this will be a huge project, and if you really do it, I don’t even think the twin prime conjecture is that important compared to your new system.”
Qiao Yu nodded seriously and said seriously: "Yes, solving the twin prime conjecture is just the beginning. Because everyone said that I have hope of solving the Riemann Hypothesis.
So if I can build this I definitely hope that such an axiom system can help me prove in the future that all non-trivial zero points of the ζ function are distributed on the critical line of the complex plane.”
Zhang Yuantang glanced at Tian Yanzhen, who was also looking at him seriously. At this time, he seemed to feel the ambition hidden in this room and couldn't help but laugh.
“Godel said that before proving the Riemann Hypothesis, we need to find a new cornerstone for mathematics. I have always thought that Grothendieck was the person who was closest to solving the cornerstone before. If he had not gone crazy before
How should I put it, Qiao Yu, I am also very optimistic about your ability and admire your courage, but I hope you can be more peaceful. The Riemann Hypothesis has made many people happy. The mathematicians who studied it fell into a crazy situation.
I hope this will not happen to you. Of course, I can also share some of my research experience with you, although I don’t know if it will be useful to you. ."
Qiao Yu said seriously: "Don't worry, Professor Zhang. I understand what you are saying, and to tell you the truth, I am very interested in your research. >
Because to be honest, I have thought of many ways during this time. But I haven’t thought of a specific entry point yet. "
Zhang Yuantang nodded. Feeling Qiao Yu's seriousness, he simply let go.
"If you want to listen to my advice, it is when you can't find an entry point. When clicking, you might as well put aside the question about prime numbers. Forget about prime numbers and start by studying the number structure itself.
For example, the distribution rules and mutual relationships of integers in larger structures. After all, your focus is on an axiomatic system, which means finding a relatively general structural principle, not just limited to the specific properties of prime numbers.
Prime numbers are just a phenomenon in number structure, and the first thing you need is to understand the more general number behavior, distribution rules, and their interrelationships in different structures.
When you finish this step and return to the problem of prime numbers, you may be able to find a natural path to explain their distribution and properties in this axiomatic framework..."
Tian Yan really didn't even know it. What he thought was that this chat lasted more than three hours.
This was very gratifying to him. < br>
For a mathematician like Zhang Yuantang, when discussing mathematical problems with a junior, he is not willing to answer them carefully just because of his face or to listen to the junior's bragging
The key is. Qiao Yu's questions made him feel that the answers were meaningful
This is actually the same as teachers teaching students.
If a student always asks the teacher some simple and obvious questions, the teacher will not think that the student is easy to learn.
I will only wonder in my heart whether this student is serious about class or whether he is listening carefully. The answer is naturally not very passionate, and may even be perfunctory.
But if the questions asked by the students are of great value and thought, the teacher can be motivated and even willing to spend some time discussing with such students.
If the questions asked by the students can even make the teacher forget to eat or other important things...
This shows that the student's questions not only mobilized the teacher's enthusiasm, but also made the teacher feel that the discussion with the student could inspire his research.
There is no doubt that the situation at this time belongs to the third type.
As the two men's discussion about twin prime numbers continued, many of Qiao Yu's questions directly scratched Zhang Yuantang's itch. Even Tian Yanzhen listened with interest, and even couldn't help but chime in occasionally.
For example, Qiao Yu asked whether a basic set could be defined. The elements in the set are neither individual integers nor prime numbers. Rather, it is embedded in a space with topological and algebraic structure.
Each number will be regarded as a point in this framework, and the relationship between points is defined by a specific mapping.
Another example is by constructing a new modulus space in which the points are different pairs of prime numbers, trying to transform the existence of twin prime numbers into a geometric closed-circuit problem...
I can only talk about Qiao Yu’s thoughts. It's really unconstrained. But thinking about it carefully, it seems that it is indeed a good entry direction.
That's it, until Tian Yanzhen felt that Zhang Yuantang couldn't handle it...
Well, Lao Tian even felt that he had become slow, he had already felt it.
Because Zhang Yuantang's answers became slower and slower, and his thinking time became longer and longer. It was not until he finally looked at him from time to time that Tian Yanzhen reacted.
I glanced at the time subconsciously, and it was already half past six in the afternoon.
So he immediately said: "Okay, Qiao Yu, it's almost time. Professor Zhang and I are going to have dinner. Professor Zhang's lecture is tomorrow. If you have any questions, please leave them to discuss tomorrow. "
Qiao Yu, who felt that he had just entered the state, was stunned for a moment, and then he also took out his phone and looked at the time.
Then he looked at the instructor innocently, blinked and said: "Well, Director Tian, I haven't eaten yet. You can take me with you when you go to eat, so that I can still greet you while we eat. Professor Zhang asked me some questions."
Tian Yanzhen glared at Qiao Yu and said, "Who did you hear that the instructor is also responsible for the students' meals? Professor Zhang is tired today. If you have any questions, we’ll talk to you tomorrow!”
After saying that, Tian Yanzhen raised his finger and pointed at the door of the office: "Hurry up and do your thing."
"Oh, thank you, Professor Zhang." Qiao Yu stood up, very He politely thanked Zhang Yuantang.
“You’re welcome, your question is actually very insightful.” Zhang Yuantang praised.
Qiao Yu smiled politely, and then walked out, looking back three times.
He also expected Professor Zhang to be polite, so that he would have the nerve to shamelessly join the two professors.
What disappointed him was that neither Tian Yanzhen nor Zhang Yuantang had any intention of keeping him.
Very embarrassing...
...
After seeing Qiao Yu leave, Tian Yanzhen smiled and said, "I am a pretty good student, right?"< br>
Zhang Yuantang smiled bitterly: "It's more than good. I really couldn't handle his questions. At first, I thought he was a little whimsical.
However, some of his ideas and questions are indeed worth pondering, especially the idea he just proposed about modal space and modal numbers, which I find very interesting.
But I'm really not sure whether this idea is feasible. But if he can really follow this idea..."
As he spoke, Zhang Yuantang frowned, feeling that his brain was lacking oxygen.
"Haha, don't think about it, go eat first. Bar. You just got jet-lagged and still need some rest. That kid has a lot of fantastic ideas, and he might have a lot more ideas tomorrow. "
Tian Yanzhen said with a smile.
This was actually the reason why he canceled half-day tutoring with Qiao Yu every week.
This guy's problems are getting more and more tricky.
Many times he has to think for a long time before he can give some insights.
Yes, it can only provide some insights. In fact, it cannot fully answer Qiao Yu's question.
If he had to experience this kind of afternoon every week, Tian Yan really felt that his mentor would soon lose his sense of mystery...
Some students just can't keep staring.
Zhang Yuantang shook his head, then stood up and joked: "Really, if I had known that you, a student, were so difficult to deal with, I really wouldn't have come."
… …
On the other side, Qiao Yu walked out of Tian Yanzhen’s office depressed, took out his mobile phone and called Qiao Xi.
The mentor who always loved him didn't even take him to dinner... He planned to file a complaint with Qiao Xi.
In terms of seniority, Qiao Xi is now Tian Yanzhen's junior sister. After Qiao Xi goes to Huaqing, she can mention this matter in front of Mr. Yuan...
It would be best to ask his senior master to tell his mentor that this kind of thing is already at meal time, so why not It is inappropriate to drive students away.
Qiao Xi soon answered the phone, and to Qiao Yu's surprise, the other end of the phone seemed quite lively.
"Mom, are you outside?"
"Well, I'm treating your Uncle Xia and Aunt Liu's family to dinner."
As soon as he finished speaking, Qiao Yu heard Xia Keke's voice: "Qiao Yu, have you eaten?"
Qiao Yu, who was not in a happy mood, said directly: "Call me brother! See what you can do ...I haven’t eaten yet! Eat more and try to gain weight. ..."
"Aunt Qiao, Qiao Yu bullied me again..."
"Okay, don't make trouble, let your Aunt Qiao answer the phone."
Next to me. After Aunt Liu's voice passed, Qiao Xi's voice came again.
"Did Mr. Yuan tell you that I am going to Huaqing tomorrow?"
"Ah? You are coming tomorrow?" After hearing this, Qiao Yu was a little surprised.
Because Mr. Yuan said last time that he planned to let Qiao Xi wait until mid-September.
"You don't know? Then why are you calling?"
"Why are you coming here tomorrow?"
"I really can't stay at home anymore." Qiao Xi explained simply, but Qiao Yu understood it instantly.
Some people are born to adapt to living in the spotlight. In fact, Qiao Xi should have been able to adapt before.
But anyone who has been criticized behind someone’s back for a few years will probably instinctively resist receiving too much attention.
Especially when her attention now overlaps with those of those who once pointed fingers at her.
This not only requires time to heal, but also requires a process of rebuilding confidence.
"That's great! But I don't know if I can make time to pick you up tomorrow. Director Tian has specially invited a professor to give a lecture, which will also be tomorrow."
"You don't need to pick you up, Mr. Yuan said Everything has been arranged for me. Why are you calling?"
"Hey, Director Tian has been chatting with Professor Zhang who will give a lecture tomorrow. , and then he took Professor Zhang to dinner and refused to let me go. When you come tomorrow, help me talk to Mr. Yuan and find an opportunity to criticize Director Tian."
"Yes, I understand. , Your skin is itchy, right? When I go to Beijing tomorrow, I will give you a good beating. Is there nothing else?"
After that, the other person hung up the phone.
Listening to the "beep" sound coming from the receiver of the mobile phone, Qiao Yu almost became angry...
The instructor invited people to a big dinner, and his mother was also inviting people to a big dinner, but he was the only one No one cares.
Very good, Qiao Yu went straight out of the yard, swept the car, rushed to the canteen and had a meal in a hurry, and then rushed back to his small study.
I want to go to dinner with Tian Yanzhen, of course, not because of the lack of the meal, but because today's discussion with Zhang Yuantang did bring him some inspiration.
Without taking him to dinner, I just want to summarize some of his thoughts first.
Turning on the computer, Qiao Yu quickly typed a title on the newly created document.
"Modal axiom system in multiple spaces."
After thinking about it carefully, I suddenly felt that this definition of multiple spaces did not seem to be very accurate, so Qiao Yu changed it to "multiple transcendences" Axiomatic system of generalized modal number theory in space"
"One of the core issues in number theory is to understand the distribution and regularity of prime numbers. However, the classical number theory method still lacks effective tools for some key conjectures, such as the twin prime conjecture, Riemann's conjecture, etc.
In order to break through the difficulties in these conjectures, this article proposes a new mathematical axiom. System - the generalized modal number theory system provides a new method for exploring modal structures in number theory. ”
Qiao Yu originally planned to write some acknowledgments here. He reminded himself that if the framework was successfully built, he would like to thank Professor Zhang, who had chatted with him for a long time.
But I thought I didn’t take him to dinner, so forget it, I won’t write it now. Until next time.
After thinking about it, Qiao Yu began to define his multiple transcendental spaces.
1. The definition of multiple transcendent spaces.
Definition 1.1: Modal space-multiple transcendental space is composed of countless modal spaces (α, β). Each modal space corresponds to a set of modal parameters (α, β). These parameters affect the Properties of numbers in space.
Definition 1.2: The value range of modal parameters - the modal parameters (α, β) can take any value within the definition domain, which allows the modal space to continuously change in multiple transcendental spaces.
2. The existence of modal mapping.
In multiple transcendental spaces, defining modal mapping
means transferring objects from modal space (α, β) to modal space (γ, δ).
Definition 2.1: Modal mapping properties - Modal mapping has nonlinear and irreversible characteristics, and its behavior can change with changes in modal parameters.
Definition 2.2: Invariance condition of modal mapping - If the modal mapping satisfies certain symmetry conditions, then the modal object retains its modal properties unchanged after transformation.
......
After writing these contents on the document, Qiao Yu stopped and started thinking.
Professor Zhang Yuantang’s words today made him determined.
“To study prime numbers, you do not necessarily have to study the prime numbers themselves first, but you can start from the structure of the numbers.”
So he decided to simply extend the traditional numerical system to the framework of different modal spaces.
Directly allow different mathematical objects to have precisely defined modal structures and behaviors in modal space. And use this to build a generalized modal number theory system.
Then a series of number theory conjectures are transformed into problems in modal space.
Qiao Yu didn't know whether this big idea would succeed, but he planned to take advantage of Professor Zhang's two days in Yanbei to lay out the framework first, and then do some targeted discussions.
After all, Director Tian finally invited people here, and he had to make them feel that their visit was worthwhile.
At this moment, Zhang Yuantang, who had followed Tian Yanzhen to the restaurant, suddenly sneezed several times.
"Professor Zhang, please pay attention to your health. Are you too tired? Go to bed early tonight."
Tian Yanzhen, who was next to him, said with concern.
November 10,000-word punch-in completed on the 10th day!
(End of this chapter)