Chapter 88 The paper is finally released
What is it like to have a completely personal free study room in school?
While Qiao Yu was resting, he searched for this question on Weibo and Tiaohu, but unfortunately no one asked similar questions. It was a bit embarrassing, which made it impossible for him to share this experience with everyone.
In fact, he can also share this happiness with everyone by asking questions and answering questions by himself, or by asking questions in a trumpet and answering in a big one.
But in the end I felt it was too boring and gave up.
After all, people's joys and sorrows cannot be communicated with each other.
It was as if after searching for this issue on Weibo and Zhihu, when he was resting his mind and watching short videos, videos of college students arguing over books in the study room often popped up.
Look, this is why it’s not good enough.
I have already been admitted to university. After several years, I have not been able to get a private study room in the school. I still have to compete with a group of classmates for the study room spot. This is a bad university. It's all for nothing.
But this also made Qiao Yu write the paper more enthusiastically.
It’s not about performing better and giving back to your alma mater. The main reason is that Qiao Yu is still a little worried now.
If you want Hua Qing and Yan Bei to spoil him like Principal Zhang, his current results are indeed not enough.
As Xue Song said, unless he is willing to go to other schools besides Huaqing and Yanbei, maybe he can put forward some conditions, but in these two universities, there is really not a shortage of various Competition expert.
For example, the only perfect gold medalist in the algebra and number theory group of the Little Libaba International Mathematics Competition last year was from the Mathematics Elite Class of Yanbei University, and he was only seventeen years old last year, so he was only older than Qiao Yu. Only two and a half years old.
And he is the only gold medalist in the world with perfect scores in the 61st IMO.
Therefore, if you want to enjoy preferential treatment in the most advanced universities in China, you must show your unique value. In other words, the tutors in higher education institutions must see that he has abilities that other similar outstanding students do not possess.
In this regard, Qiao Yu also did some self-analysis in his spare time. He also made some summaries based on the views of the good old man and old Xue Heu on him.
For example, he has super self-study ability and mathematical derivation ability that is different from ordinary people.
In layman’s terms, it’s just brain supplementation.
It seems that some of the methods he used when calculating the equation that Lao Xue proposed on the forum have actually been proven by previous people in their papers.
Although Qiao Yu had not read those papers at the time, he just relied on looking for relevant videos on the Internet and pieced together the scattered things he obtained to prove those theories on his own and flexibly applied them in into the example, and then calculated the equation.
There are some subtle points. Lao Xuedu said that he did not expect that these known mathematical tools could be used in this way.
The other thing is that he is very creative.
This is what Lao Xue commented on, and it is also what Lao Xue admires most about Qiao Yu!
According to the Yujiang University professor, what Qiao Yu lacks most now is that he does not have enough in-depth and systematic study of professional knowledge.
Once this shortcoming is made up, with his mathematical insight and creative mathematical thinking model, he may be able to create many new mathematical tools and solve many number theory problems that are currently unresolved in the mathematics world.
This evaluation is undoubtedly extremely high.
Because when Xue Song said this to him, he added: "I'm not afraid of you being proud to say..."
It was precisely because of Xue Song's words that Qiao Yu I also specifically looked up what it means to create new mathematical tools. Then I understood...
For example, Gaussian elimination method, Newton's method, Leibniz integral method, Laplace transform, Fourier transform... etc. In short, these methods are used by these powerful methods. Before mathematicians discovered it, no one thought that mathematics could be played in this way.
This is indeed not afraid of his pride.
The implication of Lao Xue's words is that he may not be included in the textbooks in the future.
Well, actually Lao Xue didn’t mean that. After all, some new methods are not named after people, but Qiao Yu is a newbie in mathematics. As we all know, novices in any industry often have blind confidence, and some novices even have unexplainable good luck.
Qiao Yu is probably this type of newcomer.
After realizing that he wanted to make a splash, Qiao Yu worked really hard during this period.
After working hard until the gold medal of Little Libaba's mathematics competition was received, he had no time to celebrate, let alone squander it. He also directly refused the award ceremony that little Li Baba specially invited him to attend.
The person who informed him on the phone said that this opportunity was rare. Not only can they go to Xiaozhou to see the world, it is said that a big boss will come to give them awards. They also said that it would only take up weekend time. If the school needed to make up classes, they could ask for leave from Qiao Yu in the name of Little Li Baba.
But Qiao Yu asked in the friend group of three people and learned that Yu Yongjun and Yu Wei had also received invitations, so he felt that this opportunity was not that rare, and he might as well stay in school by himself. Continue to complete your thesis in the exclusive study room.
I made up my mind not to go.
After Yu Wei learned that he would not go, he also directly rejected Little Li Baba's invitation.
The little fat man originally wanted to take this opportunity to visit Xiaozhou again.
But after learning that neither Qiao Yu nor Yu Wei were going, they gave up this shameful idea. I decided to stay in school and continue to study questions in preparation for entering the national competition.
Yes, Yu Wei and Yu Yongjun also participated in this year’s National Mathematical Olympiad League for Middle School Students.
The two of them also chatted in the group about this exam. If nothing goes wrong in previous years, they should be able to represent their respective regions in the national competition.
Qiao Yu was not surprised by this.
Being able to achieve something in the Little Libaba Mathematics Competition at least proves that both of them have the energy to take the initiative to learn advanced mathematics knowledge that is only exposed to college, and there is no lack of training in competition skills. If they can't even qualify in the provincial competition That's surprising.
Although Qiao Yu worked very hard during this period, mathematics papers are often difficult to write with hard work. In particular, Qiao Yu, under the influence of Lao Xue, planned to submit his research to one of the top ten percent most influential mathematics journals in the world.
But Qiao Yu really relied on his own efforts and completed the thesis two days before the National Day as planned, and wrote eighteen pages eloquently.
After finishing writing, Qiao Yu spent another whole day, reading through the paper over and over again, correcting possible problems in various details, the format of the paper, the wording and sentences, every picture, and every Details of a lemma and theorem proof.
It wasn’t until he read it carefully three times without finding any errors or omissions that he sent the paper directly to the mailbox specially left for him by Lao Xue.
In fact, Qiao Yu thought it was more convenient to send the document directly through WeChat, but Lao Xue said that the newly completed paper must be delivered through email, and he had to do so repeatedly.
On this matter that he didn't understand, Qiao Yuzhu tried to persuade him.
Just email, it’s not a big deal. After sending the paper to Lao Xue, Qiao Yu made a phone call directly according to Lao Xue's request.
Great professors have many rules.
But considering that Lao Xue has always provided him with various high-quality resources for free, Qiao Yu is still willing to abide by Lao Xue's rules.
There are not many good people in this world who are willing to express their kindness to the outside world for free. Qiao Yu feels that every time he meets one, he needs to cherish it. The good old man is like this, so is Professor Xue, and Principal Zhang can also be counted as half.
It’s not that he despises Principal Zhang, let’s put it this way, Qiao Yu feels that he, a child whose morals are far higher than the social average, is not a good person in the strict or traditional sense now, and he probably won’t be in the future. It's hard to be such a good person.
There is no special reason. It is simply that Qiao Yu doesn't like to suffer losses.
The call was quickly connected, and Qiao Yu told Xue Song the good news directly: "Professor Xue, I have finished writing my thesis and it has been sent to your mailbox."
"Huh? So soon? It's only September? Are you sure you have met the requirements I mentioned before?"
The tone on the other end sounded a little unhappy, even rare, but Qiao Yu remained calm. replied: "I revised it very carefully. And I really couldn't find any problems before sending it to you."
"Huh...well, I hope you can reach the level I expect." . You must not imagine it. How does it feel to have just finished reading a paper that should have been put directly into the shredder?
Forget it if it is not rigorous enough, the paper is still full of grammatical errors, vague statements, and even lack of clarity. The terminology is not very appropriate!
Unfortunately, I just read such a paper. What is even more unfortunate is that the author of this paper is a student who I personally brought up.
Apart from the research methods, this paper really has no merit. Sadly, this method is still the direction I gave him.
As much as I want to calm down right now, if your paper also makes me feel hurt, I might question whether being a faculty member is a waste of my life.
So are you sure you don’t want to withdraw the paper you sent me and revise it carefully? "
Okay, the case has been solved. Qiao Yu knows why a professor like Lao Xue, who has always had a good temper, suddenly became so resentful.
"Well... I think my thesis is at least It's not that bad, right? Why don't you send that paper over so that I can take a second look and use it as a negative teaching material? ”
"Okay, please pay attention to the mailbox later. Hang up."
Then there is a "beep" busy signal.
From the speed of hanging up the phone, Qiao Yu could feel that Professor Xue's mood was indeed extremely unstable at this time.
Of course, this cannot be blamed on him. At this time, Qiao Yu was really curious about what the paper was about that could make a good-tempered guy like Lao Xue so angry.
He didn't wait long, and soon the computer made a "ding" sound.
Clicking on the mailbox, sure enough, Lao Xue had already sent the paper.
Qiao Yu downloaded it immediately, and then read it with a very pious attitude.
This is a paper about the algebraic structure of point and lattice diagrams and their application in number theory.
It is probably about exploring the algebraic structure of the graph when several points are used as vertices of a lattice graph, and how to use graph theory tools to analyze the distribution of numerical points within geometric shapes. Such as the distribution of points within an ellipse, a circle or a high-dimensional sphere. And study the solution of Diophantine equation through the construction of these lattice diagrams and the distribution of points.
Qiao Yu found it quite interesting.
In particular, some of the mathematical tools used in it, such as Diophantine approximation, automorphism groups, prime number theorem, modular arithmetic and congruence, are also covered in the paper written by Qiao Yu.
Of course there are some contents that Qiao Yu feels are very fresh. For example, when constructing a lattice diagram in the paper, the operation description of the group is used, which involves the application of group theory.
But Qiao Yu soon understood why Xue Song felt angry.
How should I put it...
Qiao Yu couldn't figure out how such a good subject could be written in such a horrible way.
What made him feel most uncomfortable was the lack of coherence in the discussion and the jumps in logic and symbols.
As soon as a lemma interested him and he started to think deeply, a bunch of complicated mathematical symbols and formulas suddenly appeared. Although there were explanations, Qiao Yu could not understand the author of the paper. What exactly do you want to express.
The most important thing is that Qiao Yu only read five pages and saw that the two symbols were the same, but the definitions were actually different.
For example, Qiao Yu just saw an L representing the grid point set in the paper, and after turning two pages, the same L began to represent the Laplacian matrix again!
I probably understand why Lao Xue was so angry on the phone.
He had just flipped through five pages and had a similar feeling. He just wanted to read the paper, why should he be shown this kind of thing?
It shouldn’t be! The key points for writing a paper that Lao Xue gave him included almost all the key points for writing a mathematics paper. Could it be that Lao Xue was too kind to him and only gave him the secrets of his master's school, not even his own students?
If this is the case, Qiao Yu doesn't know how to repay Xue Song. After all, there is no connection between the two of them, but the author of this paper is a serious student, the kind with official certification.
If this is the case, Qiao Yu really doesn’t know how to repay Lao Xue.
However, it was obvious that he should not have to suffer this kind of pain, so after flipping through these five pages, Qiao Yu directly deleted the paper, feeling completely relieved.
Even though it may not be perfect the first time he writes a paper, he still has confidence that it will be much better than this one.
After all, he was the target of those papers that Lao Xue had previously sent him to study. Not only the logical discussion, but also the choice of words and sentences in key parts, he carefully considered.
Qiao Yu even felt faintly happy after reading this paper.
Old Xue has just read this paper, and looking at his paper again, the contrast is still obvious. Even if he fails to meet Lao Xue's requirements, he will be much gentler when he wants to criticize.
After all... he is much better than his real students, right? Not to mention that he also received remote guidance from Lao Xue, and the person opposite was a serious person who taught by words and deeds.
Thinking of this, Qiao Yu almost wanted to thank this senior brother named Qin Jingru. Although the two had never met, he really guaranteed his future.
He really had noble people helping him along the way!
PS: The 9th day of the 10,000-word update is complete!
(End of this chapter)