Chapter 83 Mathematics Level 2!
“Yes, my research topic this time is about the Sobolev equation. When I was reading the paper, I found that you were the second author in a paper about the Sobolev equation, so I thought I’d like to ask you some related questions.”
“It’s not a question, senior sister, just ask if you have any questions.”
Song Xiyun put the information in her arms on the desk and pointed. He asked at one point in the information:
“Why is the hybrid finite element here constructed like this?”
Ning Chen took one look and replied:
"This structure is to enable high-precision analysis of semi-discrete format and fully discrete mode with higher accuracy in the future. Let's first define a finite element space ..."
Although Tong Yicheng did most of the work in the paper himself, after the paper was published, Ning Chen had read all the contents in the paper in detail and understood them all thoroughly.
After Ning Chen’s explanation, Song Xiyun also understood the problem that confused her before.
“I see, it’s really an ingenious structure.”
After consulting Ning Chen in person, Song Xiyun finally realized Ning Chen's talent in mathematics, and she was worthy of being the gold medal winner of the Autumn Competition All-Around Award.
Compared to Lin You, Ning Chen's mathematical ability may be more than one level better.
"Ning Chen, thank you."
"You're welcome. If you have any questions, you are welcome to come over and discuss them together."
Ning Chen is not interested in discussing issues with Song Xiyun. I won't feel offended, of course there is some politeness in these words.
"Then... let's add a QQ chat? Don't worry, I won't disturb you at ordinary times."
"Okay, but I'm not often online, so replying to messages may be slower."
>The two finished adding QQ, and 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 one with good looks, figure and temperament like Song Xiyun. .
“Lin You, this senior is considered very outstanding in Yanda, right?”
Lin You smiled and said:
"Of course, Song Xiyun was recommended to Yan University through the mathematics competition, and she was the only girl in the IMO national team. It is not easy for girls to enter the national training team. The national team may not be able to produce one in a few years.”
Ning Chen also expressed his admiration for this. Ning Chen knew that men have advantages compared to women in most sports and various mental competitions. Innate advantages.
For example, games such as Go, chess, and e-sports are very demanding on the brain. In fact, the so-called "men's team" allows female players to participate in the competition, but very few women can reach the level of top male professional players. The players are of the same level.
“Song Xiyun is a goddess-level figure in our mathematics department. There are many people who want to pursue her, but she has a very high vision. She may also want to focus on research. She has always been Single. Of course she is very nice. I have participated in a mathematical modeling competition with her before and we had a great time working together.”
Ning Chen has not participated in mathematical modeling competitions, but he has some knowledge about mathematical modeling competitions.
Mathematical modeling competitions generally consist of a team of three players, each of whom performs their own duties and is responsible for modeling, algorithm programming, and writing respectively.
This requires each team member to have strong professional abilities and team writing skills. Some team members can even have more abilities at the same time and be qualified for multiple jobs.
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 does not chat with Ning Chen on QQ, but occasionally asks Ning Chen for some math questions. Ning Chen will patiently give his own answers after seeing the news.
Finally, with continuous accumulation, Ning Chen’s mathematics subject experience reached 1,000 points.
At the moment when the mathematics subject level was upgraded to Lv2, all the fragments of mathematical knowledge in Ning Chen's brain were reorganized in a wonderful way.
This time, Ning Chen felt that it took much longer for his brain to sort out knowledge than before when he upgraded.
Ning Chen thinks that this should be because as the amount of knowledge accumulates, the workload of sorting out knowledge will naturally increase exponentially. After an unknown amount of time, Ning Chen finally felt that his brain had completed the work of sorting out knowledge.
Feeling the changes in the information in his brain, Ning Chen felt that his understanding of mathematics had improved to a higher level. Some of the knowledge that he had not fully understood before was now fully understood. .
"Is this the effect of upgrading the subject level? It's really incredible!"
Although this is not the first time that Ning Chen has upgraded a subject, this level of knowledge Ning Chen couldn't help but sigh at the wonderful feeling of improvement in a short period of time.
Not caring about rest, Ning Chen resumed his research on Qiu Chengtong's conjecture.
When the mathematics level was upgraded to Lv2, Ning Chen really felt that he had more ideas to solve Qiu Chengtong's conjecture.
Ning Chen quickly thought of several ideas that he could try. The fourth-order completely nonlinear elliptic equation that troubled Ning Chen before seemed not completely unsolvable.
Ning Chen first tried to use pure algebra to solve the equation, 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 fourth-order equation has indeed increased in complexity. Too many.”
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 his time on solving this problem. He didn't even attend the professors' open classes.
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 complex problem in the end, his current attitude and determination to solve the problem are far inferior to Ning Chen's. .
On this night, after experiencing countless failures, Ning Chen finally opened up a 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.
This is like trying to break through a small hole in the high wall. Although it is not enough to directly help Ning Chen knock down the high wall, it can already let Ning Chen understand the wall. thickness.
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, had a certain understanding of Ning Chen, and knew that Ning Chen must have made some progress.
"Ning Chen, you finally found a breakthrough, right?"
Hearing Lin You's words, Ning Chen nodded and replied:
"Yes, finally There has been some new progress. Are you busy now? If not, I will tell you about it."
Ning Chen is not worried about Lin You plagiarizing his work. Chen believed in Lin You's character. On the other hand, the theory here was indeed very complicated and could not be fully grasped without in-depth research.
Lin You looked happy when he heard this and said:
"Ning Chen, can I really listen to it?"
Lin You naturally wanted to see what method Ning Chen wanted to use to solve the problem. This complex issue, in Lin You's mind, what Ning Chen taught was no less important than those of mathematics professors.
“Of course, as long as you don’t tell others.”
“Don’t worry, I definitely won’t tell others.”
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)< br>