What is it like to have a completely personal free study room in school?

When Qiao Yu was resting, he searched for this question on Weibo and Donghu, but unfortunately no one asked similar questions. It was a bit embarrassing, which made him unable to share this experience with everyone. In fact, he could also use

Ask and answer your own questions, or use the form of asking questions in a small phone and answering in a large phone to share this happiness with everyone.

But in the end, I still felt it was too boring and gave up. After all, people’s joys and sorrows cannot be communicated with each other.

It seems that after he searched for this issue on Weibo and Tonghu, when he was resting his mind and browsing short videos, videos of college students arguing over books in the study room often popped up. Look, this

It's just because it's not good enough.

I have already been admitted to university, but after several years, I have not been able to get the privilege of having an exclusive study room in the school. I have to compete with a group of classmates for the study room space. It is a waste to go to college. However.

This also made Qiao Yu more enthusiastic about writing the paper.

It's not to perform better and give back to his alma mater. The main reason is that Qiao Yu is still a little pushy. If he wants Huaqing and Yanbei to pamper 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 no shortage of competition masters.

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 two and a half years older than Qiao Yu. And

He is also the only one in the world to get a perfect gold medal in the 61st IMO.

Therefore, if he wants to enjoy preferential treatment in the most advanced universities in China, he must show his unique value. In other words, he must let the tutors of higher education institutions see that he has abilities that other similar outstanding students do not have.

.In this regard, Qiao Yu also did some self-analysis in his spare time, and made some conclusions 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 is just brainstorming.

It's like when he calculated the equation that Lao Xue proposed on the forum, some of the methods he used had actually been proven by previous people in the paper.

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, and Lao Xue said that he never thought that these known mathematical tools could be used in this way. In addition, he is very creative.

This is what Lao Xue commented on, and it is also what Lao Xue appreciates 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 at that time, he added: "I'm not afraid that you will be proud to say...

Precisely because of Xue Song's words, Qiao Yu went to look up what it means to create new mathematical tools. Then he understood...

For example, Gaussian elimination method, Newton's method, Leibniz integration method, Laplace transform, Fourier transform... etc. In short, before these methods were discovered by these great mathematicians, no one thought that mathematics could actually be used. Being able to play like this is really not a matter of pride for him.

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 novice in mathematics. As we all know, novices in any profession often have blind confidence, and some even have Can 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 Little Libaba received the gold medal in the mathematics competition, he had no time to celebrate, let alone squander it. He even directly refused the award ceremony that Little Libaba specially invited him to attend.

The person who notified him on the phone said that this opportunity was rare. Not only could he go to Xiaozhou to see the world, but he also said that a big boss would come to the scene to present them with awards. He also said that it would only take up weekend time, and if the school had to make up classes, they could In the name of little Li Baba, I came to ask for leave from Qiao Yu.

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 his own exclusive study room in the school and continue. After finishing the thesis, I made up my mind not to go there.

After Yu Wei learned that he was not going, he directly rejected Little Libaba's invitation. The little fat man originally wanted to take this opportunity to go to Xiaozhou again.

But after learning that neither Qiao Yu nor Yu Wei were going, they gave up the shameful idea and 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 according to the situation 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 has worked very hard during this period, mathematics papers are often written without hard work. Especially under the influence of Lao Xue, Qiao Yu plans to invest in the top 10% of international influence. Mathematics journal. But Qiao Yu really relied on his own efforts and completed the paper two days before the National Day as planned, and wrote 18 pages eloquently.

After finishing writing, Qiao Yu spent another whole day reading the paper over and over again, revising various details that may have problems, the format of the paper, the choice of words and sentences, every picture, and every lemma and theorem proof.

details. It was not until he read it carefully three times and found no 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. Regarding this kind of thing that he didn't understand, Qiao Yu was the first to listen to his advice.

.

It's just an 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. There are many rules among university professors.

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 really 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 one he meets needs to be cherished. 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 it will probably be difficult for him to become such a good person in the future.

.There is no very special reason, it’s just 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." "Hmm? So soon? It's only September? Are you sure?

Have you met the requirements I mentioned before?"

The tone on the other end sounded a little unhappy, even unusually harsh, but Qiao Yu still replied calmly: "I revised it very carefully. And I really couldn't find any problems before I sent it to you."

"....Well, I hope you can live up to my expectations. You can't imagine what it feels like to have just finished reading a paper that should have been stuffed directly into the shredder.

Forget it if it is not rigorous enough, the paper is still full of grammatical errors, vague expressions, and even inappropriate terminology! Unfortunately, I just read such a paper. What is even more unfortunate is that this paper

The author is a student whom I personally brought up.

Except for the research method, this paper really has no merit. Sadly, this method is still the direction I gave him.

Although I want to calm down right now, if your paper also makes me feel hurt, I may wonder whether it is a waste of life to hold a teaching position now. So are you sure not to withdraw the paper you sent me?

Revise it carefully?"

Okay, the case was solved. Qiao Yu knew why a professor like Lao Xue, who had always had a good temper, suddenly became so resentful.

"Um... I think my paper is not that bad at least, right? Why don't you send that paper over so that I can take a look at it and use it as a negative teaching material?" "Okay, you'll pay attention to your email later. Hang up.

.”

Then there was a busy tone of "beep".

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, you can't blame him. At this time, Qiao Yu was really curious about what the paper was about that could make such a good-tempered guy like Lao Xue so angry. He didn't let him wait long, and soon the computer issued " "Ding" sound.

I clicked on the email and sure enough, Lao Xue had already sent the paper.

Qiao Yu downloaded it immediately and started reading it with a pious attitude.

This is a paper about the algebraic structure of point and lattice graphs and their applications in number theory.

It is probably about exploring the algebraic structure of the graph when the points are used as vertices of the lattice graph, and how to use the tools of graph theory to analyze the distribution of the points within the geometric shape. Such as the distribution of the points within the ellipse, the circle or the high-dimensional sphere. And Study the solution of the 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 also some contents that Qiao Yu feels are very fresh. For example, when constructing lattice diagrams, the paper used group operation descriptions, which involved the application of group theory. But Qiao Yu soon understood why Xue Song felt angry.

How to say...

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 couldn't understand what the author of the paper wanted to express. In the end, The key 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 that an L was used to represent a grid point set in the paper, and after turning two pages, the same L began to represent the Laplacian matrix again! He probably understood 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 you show him such a 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 mathematical 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? Give it? If this is the case, Qiao Yu doesn't know how to repay Xue Song. After all, there is no relationship between the two, but the author of this paper is a serious student with official certification. kind.

If this is the case, Qiao Yu really doesn't know how to repay Lao Xue.

However, this kind of suffering obviously should not be suffered by him, so after turning over these five pages, Qiao Yu deleted the paper directly, and was completely relieved. Even if it was his first time to write a paper, it might not be so perfect, but with this Compared with other articles, I still have confidence that it is much better.

After all, he was the target of the papers that Lao Xue had previously sent him to study. Not only the logical discussion, but also the choice of words and sentences in the key parts, he carefully considered it. Even Qiao Yu even felt a little happy after reading this paper.

Lao Xue has just read this paper. Looking at his paper again, the contrast is still obvious. Even if he cannot meet Lao Xue's requirements, he will be much gentler when he wants to criticize. After all... he is always better than his real students.

A lot, right? Not to mention him

The one he still received was remote guidance from Lao Xue, and the man opposite him 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, they really took it from him.

His future is guaranteed to him.
Chapter completed!