Replay 07: Opening the Temple of Learning

Chapter 45 You can come here to earn points in the future

The lemma and formula in the paper are wrong when proving the hypersurface of N-times general position.

Lu Shan took out the small notebook he carried with him and continued writing the girl's essay.

Let {Qj(z)}qj=1 be a moving hypersurface in q in P^n(C) and their order is d. Then for the subset R belonging to {1,...q} and #R=rank{Qj(z)}...

The girl was sweating profusely while looking up literature, while Lu Shan had leisurely completed the proof of the small piece of content: "fix z, then Q1(z),...Qq(z) is a hypersurface in the Nth general position."

Fermat's differential theorem is actually very simple. If a function (f(x)) is defined in a neighborhood (U(x_0)) of the point (x_0) and is differentiable at (x_0), and for any (x \in U(x_0)), (f(x)\leq f(x_0)) (or (f(x)\geq f(x_0))), then (f''(x_0)= 0).

The Nevanlinna value distribution theory occupies a very important position. It can be used to solve many problems in complex differential equations and difference equations, and can even directly determine the existence and uniqueness of the solution of the equation.

It is quite meaningful for a girl to write this paper.

The mathematical genius Poincare was also an expert in this area. Lu Shan was also very interested in it, so when they were free, the two discussed related issues.

Seeing the girl still looking for reference materials, Lu Shan said casually: "You can check the relevant papers on Jiadang Space."

The girl paused and turned to look at the smiling boy behind her.

The boy has a tall and straight figure and his teeth are very white when he smiles.

But the girl was obviously not in the mood to appreciate it at this time, and instead became more nervous and awkward.

Her face flushed as she said, "Sorry... I'm a little slow in looking up the literature."

Qiao Weiwei is about to enter her third year of graduate school.

According to the requirements of the School of Science of Jiangzhou University, one must publish an SCI paper before graduation.

There are also requirements for the quality of published papers, which must at least be published in SCI Zone II journals with an impact factor of 5.0 or above as classified by the Xia Institute of Science.

The SCI zone 1 classified by the Xia Institute of Science is full of great authors, making it very difficult for a student to publish a paper there.

But zone 2 is also difficult! Many students, teachers, and researchers are trying to gain experience in zone 2 so that they can graduate or get a professional title.

Qiao Weiwei is about to collapse!

The files on my computer include: Published Paper, Published Paper Revised 1, Published Paper Revised 2, Published Paper Revised 3, Published Paper Revised 4 I Will Never Revise It, Published Paper Revised 5 I Will Never Revise It Even If You Kill Me, Published Paper Rewrite 1…there are more than ten versions in total.

However, after working hard for half a semester, the paper I wrote was rejected by my supervisor, and I had to start all over again.

Qiao Weiwei felt so wronged that she wanted to cry.

Why is she crazy studying math?
Isn’t it good to learn modern Chinese?

Thinking that there were people waiting in line, Qiao Weiwei hurried to continue looking for references.

Lu Shan seemed to become even more nervous when he saw this cute girl, and he didn't know whether to laugh or cry.

This feeling is like watching a child doing math problems and always failing to calculate 1+1=2, and you always want to remind him, but as soon as you remind him, the child suddenly gets even worse.

Then Lu Shan saw a document on the computer and said, "This is it, Cartan H. Sur les z ros des combinaisons lin aires de p fonctions holomorphes donn s [J]. Mathematica."

He fluently recited the French name of the document.

Thanks to Poincare, Lu Shan felt that his French was better than his English, and he even had no problem studying in France.

Moreover, when learning French with Poincare, his French was completely free of Chinese accent and was extremely authentic.

This paper is about Cartan's content on differential equations, which is helpful to Qiao Weiwei's paper.

This time Qiao Weiwei was stunned.

Although she majored in mathematics, she had a wide range of hobbies. She especially liked everything French, such as Sophie Marceau, Jean Reno and Alain Delon.

A French movie called "First Kiss" made her cry her eyes out.

In college, Qiao Weiwei plucked up the courage to join the school's French club in order to build up her courage. However, she only learned French half-heartedly. Faced with the hungry boys in college who pestered her to practice speaking with her, she became even more socially anxious.

Qiao Weiwei's dream was to study abroad in France and stroll along the Champs-Elysées listening to Hélène Rolles' Je m'appelle Hélène.

However, in her second year of graduate school, her dream changed. She hoped that everything would be fine as long as she could graduate smoothly. Qiao Weiwei was surprised that Lu Shan's French was very standard, even more authentic and classical than the handsome French student in the school.

Perhaps it was because of French that Qiao Weiwei developed a little trust in Lu Shan.

She moved aside half a body and gave the computer to Lu Shan.

"If you want to write a paper on holomorphic curves and solutions to Fermat-type differential difference equations, I suggest you refer to these papers."

Lu Shan helped Qiao Weiwei find almost all the references she needed, most of which were foreign documents.

"Look for it yourself in China."

Qiao Weiwei was a little less nervous and whispered, "Thank you...thank you!"

"Oh, right." Lu Shan pointed to the laptop next to him and said, "When you prove the hypersurface of N-times general position in your paper, the lemma and formula are wrong."

"Of course, I only read this page. I'm not sure about the rest."

"Ah!" Qiao Weiwei was stunned.

The other party only read one page and said that your paper is wrong?
Lu Shan handed the notebook he had just written to Qiao Weiwei and said, "I have re-proven it, you can refer to it."

When Qiao Weiwei took the notebook, she was stunned for a moment.

Lu Shan's proof is much smoother than mine, and it doesn't seem like I'm just trying to piece together a theorem to make it sound reasonable.

"When did you prove it?"

"Just now, when you were looking up the literature."

Qiao Weiwei was shocked. Is this a god?
The proof was completed in a few minutes. She swallowed and said, "Can...can you help me look at the rest of it?"

Qiao Weiwei really couldn't write anymore. She stayed up late every day to revise her thesis. By the time the thesis was finished, she would be dead.

Lu Shan nodded, rolled the mouse wheel down, and explained the paper to Qiao Weiwei while looking at it and writing in his notebook.

"This is not right either. For a fixed z, first we assume that the homogeneous moving hypersurface {Qj}qj=1 is a homogeneous polynomial of degree d in C[x0, ...xn] and in the Nth general position of Pn(C)..."

It took almost an hour for Lu Shan to help Qiao Weiwei go through the entire thesis. He found 12 problems in total and gave 5 suggestions.

The most important thing is to sort out this paper clearly so that Qiao Weiwei can write the paper with ease later.

Qiao Weiwei was also very excited!
This feeling is like a sudden enlightenment, which is better than the guidance of a mentor.

Qiao Weiwei took advantage of the time to revise her paper next to Lu Shan.

Lu Shan was also very happy.

[Points: +1]

[Remaining points 245.13]

Of course Lu Shan was happy!

This can also earn points!
The points for explaining questions to the study group are getting less and less, and I may only be able to get 0.01 points from Yang Chuan and his friends a day.

Although papers published in the Annals of Mathematics can continue to give points, I am not the first author, so the points will gradually decay.

Seeing that more than a month had passed and Poincare might leave in more than a month, Lu Shan had to hurry up to accumulate points.

In the future, you can come to the library more often to guide everyone's papers and earn some points.

Soon Lu Shan loaded the papers he needed into a USB drive and took the books home.

Qiao Weiwei came back to her senses and looked up. Where was Mr. Lu?

She felt regretful and anxious. How could she have forgotten to ask the person's name and major?
Qiao Weiwei hurriedly chased after him.

Qiao Weiwei (nervous): Please...please keep reading!

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(End of this chapter)