Starting from a top student and marching towards the sea of ​​stars

Chapter 83 Mathematics Level 2!

"Yes, my research topic this time is about the Sobolev equation. Just when I was reading the paper, I found that you were the second author in a paper about the Sobolev equation, so I wanted to ask you for some related information. question."

"Asking for advice is out of the question. If you have any questions, senior sister, just ask."

Song Xiyun put the materials in her arms on the desk, pointed to one of the materials and asked:
"Why is the hybrid finite element here constructed like this?"

Ning Chen glanced at it and replied:
"This structure is for high-precision analysis of semi-discrete format and fully discrete mode with higher precision. Let's first define a finite element space..."

Although most of the work in the paper was done by Tong Yicheng himself, after the paper was published, Ning Chen had read all the content in the paper in detail and understood it thoroughly.

After Ning Chen's explanation, Song Xiyun also understood the problem that was confusing her before.

"I see, it's really an ingenious structure."

After consulting Ning Chen face to face, Song Xiyun finally realized Ning Chen's talent in mathematics, and she deserved to be the gold medal winner of the All-Around Autumn Competition.

Compared with Lin You, Ning Chen's math ability may be more than one level stronger.

"Ning Chen, thank you."

"You're welcome. If you have any questions, please come over and discuss them together."

Ning Chen didn't feel disgusted about discussing issues with Song Xiyun, of course there was some politeness in these words.

"Then... let's add a QQ? Don't worry, I won't bother you normally."

"It's ok, but I'm not often online, so it may be slower to reply to messages."

After the two of them finished adding QQ, Song Xiyun thanked Ning Chen again and left Ning Chen's dormitory.

Song Xiyun left a deep impression on Ning Chen. Ning Chen had met many female academic leaders before, but he had never met anyone with such good looks, figure and temperament as Song Xiyun.

"Lin You, this senior student is considered very outstanding in Yan University, right?"

Lin You smiled and said:

"Of course, Song Xiyun was also recommended by Yanda University through the mathematics competition, and she was the only girl in the IMO national team. It is not easy for a girl to enter the national training team. It may not be possible for a girl to enter the national team for a few years."

Ning Chen also expressed his admiration for this. Ning Chen knew that whether it was most sports or various brain competitions, men had inherent advantages over women.

For example, in games such as Go, chess, and e-sports, which are very demanding on the brain, the so-called "men's team" actually allows female players to participate in the competition, but very few women can reach the same level as top male professional players.

"Song Xiyun is a proper goddess in our mathematics department. There are many people who want to pursue her, but she has a high vision, and it may be because she wants to focus on research. She has always been single. Of course she is still Very good, I have participated in mathematical modeling competitions with her before, and the cooperation is very pleasant."

Ning Chen has not participated in mathematical modeling competitions, but he also has some knowledge about mathematical modeling competitions.

Mathematical modeling competitions generally consist of three team members, each of whom performs his own duties, and is responsible for modeling, algorithm programming, and writing.

This requires each team member to have strong professional ability and team writing ability, and some team members can even have more abilities at the same time and be competent for multiple tasks.

After listening to Lin You's narration about Song Xiyun, Ning Chen had a better impression of Song Xiyun, and of course it was more of an affirmation of her ability.

……

In the following days, Ning Chen continued to maintain a high-intensity study and research life every day, and accumulated experience in mathematics at a rapid rate.

Song Xiyun doesn't chat with Ning Chen on QQ, but occasionally asks Ning Chen some math questions, and Ning Chen will patiently give her own answers after seeing the news.

Finally, with continuous accumulation, Ning Chen's mathematics subject experience reached 1000 points.

At the moment when the mathematics subject level was upgraded to Level 2, all the pieces of mathematical knowledge in Ning Chen's brain were reorganized in a wonderful way.

This time, Ning Chen felt that the time for his brain to sort out knowledge was much longer than before upgrading.

Ning Chen felt that this should be because with the accumulation of knowledge, the workload of sorting out knowledge would naturally increase exponentially.After an unknown amount of time, Ning Chen finally felt that his brain had finished sorting out knowledge.

Feeling the changes in the information in his brain, Ning Chen only felt that his understanding of mathematics had risen to a higher level. Some knowledge that he had not fully understood before, was now fully understood.

"Is this the effect of subject level improvement? It's really incredible!"

Although this was not the first time that Ning Chen had upgraded a subject, Ning Chen couldn't help sighing at the wonderful feeling that his knowledge level had improved in a short period of time.

Not caring about rest, Ning Chen resumed his research on Qiu Chengtong's conjecture.

When his mathematics level was upgraded to Level 2, Ning Chen really felt that he had more ideas to solve Qiu Chengtong's conjecture.

Ning Chen quickly thought of a few ideas that could be tried. The fourth-order completely nonlinear elliptic equation that troubled Ning Chen before did not seem to be completely unsolvable.

Ning Chen first tried to use pure algebraic methods to solve the equations, but after some attempts, he still felt that this method would probably not work.

"No...if it is just a second-order completely nonlinear elliptic equation, although it is very complicated, it can still be solved as long as there is enough time. But the complexity of the fourth-order equation has indeed increased too much."

This did not dampen Ning Chen's confidence. Ning Chen continued to try other conceivable methods to continuously attack this equation.

A few days passed, except for eating and sleeping, Ning Chen spent almost all of his time on solving this problem, and he didn't even attend the public lectures of the professors.

Seeing Ning Chen like this, Lin You was full of respect for Ning Chen.

Although Lin You doesn't know whether Ning Chen can really solve this complicated problem in the end, but just this attitude and determination to solve the problem, the current self is far inferior to Ning Chen.

On this night, after countless failures, Ning Chen finally opened up a brand new path.

Ning Chen cleverly transformed this class of fourth-order completely nonlinear elliptic equations, which combined methods from various branches of mathematics such as multiple complex variable functions, differential geometry, algebraic geometry, and metric geometry, and also added some Ning Chen My own original method.

After this conversion, the entire equation was transformed into another problem, an equally complex problem, but one that can already see the light of day.

It was like smashing through a small hole on the high wall with great effort. Although it was not enough to directly help Ning Chen to tear down the high wall, it was enough for Ning Chen to understand the thickness of the wall.

After completing this big breakthrough, Ning Chen was very excited and even danced with excitement.

If ordinary people saw this scene, they might think that Ning Chen was poisoned by accidentally eating poisonous mushrooms.

But after all, Lin You had been with Ning Chen for a while, and knew him to a certain extent, knowing that Ning Chen must have made some progress.

"Ning Chen, you finally found a breakthrough, right?"

After hearing Lin You's words, Ning Chen nodded and replied:
"Yes, there is finally some new progress. Are you busy now? If not, I will tell you about it."

Ning Chen was not worried that Lin You would plagiarize his work. On the one hand, Ning Chen believed in Lin You's character. On the other hand, the theory was indeed very complicated and could not be fully grasped without in-depth research.

Lin You smiled joyfully when he heard the words:
"Ning Chen, can I really listen to it?"

Lin You naturally wanted to see what method Ning Chen was going to use to solve this complicated problem. In Lin You's mind, what Ning Chen said was no less than those mathematics professors.

"Of course, as long as you don't tell anyone."

"Don't worry, I'm sure I won't tell anyone."

Next, Ning Chen explained to Lin You the transformation process of this equation according to his own ideas.

Lin You kept frowning while listening, and his brows did not relax until Ning Chen finished speaking.

"No, these theories are still too difficult for me now. I'll wait until your paper is released and then I can study it slowly."

(End of this chapter)