Chapter 104 Find the connection from the title
Chen Jing stood at the entrance of the library, not knowing what he was thinking.
Even Chen Zhou approached, he didn't notice it.
Chen Zhou gently patted him: "What are you thinking? You're so fascinated?"
Chen Jing came to his senses and turned to look at Chen Zhou: "Uh... nothing..."
Yang Yiyi also took the initiative to say hello: "Hello, senior."
Chen Jing then noticed the girl beside Chen Zhou and lamented in his heart. He now fully realized what it feels like to have someone else's child around him...
Although I thought so in my heart, Chen Jing still replied politely: "Hello, junior sister, hello..."
On the way back to the dormitory, Yang Yiyi threw out some questions about her learning mathematics scores.
It was said that it was a question, but in fact it was Yang Yiyi's own curiosity. Most of the questions she asked were this theorem and the ins and outs of the proof.
Chen Zhou patiently helped her answer one by one.
Some Chen Zhou was not sure about Yang Yiyi’s questions. He happened to be an excellent senior from the Department of Mathematics, so you can ask for advice.
However, Chen Jing was mostly aware of the fish that Chen Zhou could not answer.
Chen Jing listened a little differently. When he saw Yang Yiyi looking at Chen Zhou, his taste became even more sour...
Chen Jing just wants to say that I also want such a girlfriend...
After finally reaching the dormitory area, Chen Jing quickly said hello and walked towards his dormitory.
After Chen Zhou sent Yang Yiyi downstairs to the dormitory, he also returned to the dormitory.
In the dormitory.
Li Li and the other two were reading a book at the desk.
Seeing Chen Zhou coming back, Zhao Qiqi immediately came up and asked quickly: "Brother, how about it?"
Chen Zhou looked at him and said, "I asked you something for you. If you have time to have a friendship together, you can take care of it yourself."
"nice!" Zhao Qiqi hurriedly helped Chen Zhou take off his backpack, let Chen Zhou sit on the chair and rest, and then pinch his shoulders.
Then he said to Li Li and Zhu Mingli: "Well, haven't you heard it yet? Dormitory friendship, it's not for me alone, everyone has a share! Two li, pour a glass of water for Brother Chen as soon as possible. Lao Zhu, hurry up and take out the snacks to entertain you.”
Upon hearing this, Li Li took Chen Zhou's cup and poured a glass of water.
Zhu Mingli took out a large bag of delicious food he had collected.
"You are so polite..." Chen Zhou ate a piece of beef and drank a sip of water with a little embarrassed look.
"You're welcome, you're welcome. Then, Brother Chen, when will we get along?" Zhao Qiqi asked.
The three of them looked at Chen Zhou in anticipation.
Chen Zhou thought for a while and said, "The midterm exam season is coming soon. How about it when the exam is finished?"
Zhao Qiqi: "Yes, yes."
Zhu Mingli: "This time is good, I did a good job, and everyone had fun. If I didn't do well, everyone would make fun. Chen Zhou would make arrangements."
Li Li: "So, let's prepare for the midterm exam first."
Chen Zhou: "That's right."
.....
When the dormitory finally calmed down, Chen Zhou borrowed Li Li's computer and began to download the task information sent by Wu Xiping.
After the download was completed, Chen Zhou unzipped the file and looked through the information.
One of the two questions he received was that according to his own example, Wu Xiping gave him a zero question.
This is a problem of solving pure mathematical analysis using advanced algebraic methods.
Correspondingly, another problem is to use mathematical analysis to solve the problem of pure advanced algebra.
It can be said that Wu Xiping assigned this project task very reasonably.
If you look at each person's tasks alone, you can do it as a small topic independently.
This is also Wu Xiping deliberately cultivating Chen Zhou and Shen Jing's research ability.
Chen Zhou copied two questions on draft paper and prepared for research.
The questions of these two questions are simple and full of short and concise beauty.
But it is quite difficult to solve.
After all, it is one thing to say, but it is another to do it and study it.
Chen Zhou turned his pen and thought about the corresponding solutions.
After thinking for a while, Chen Zhou picked up his pen and began to solve this problem.
"If f(x)≠0, the conclusion is true..."
"...It can be proved that there are at least n1 x1,x2,x3,...,xn1∈(a,b), and x1<x2<x3...0, and ai is all different, i=1,2,...,n, prove that the square matrix a(1/(aiaj)) is a positive fixed array."
After Chen Zhou finished reading it, he thought for a while and had already had a way of thinking.
Why is this question typical? It requires the use of typical mathematical analysis methods, generalized integral ∫∞e^(-ax)dx=1/a(a≠0).
"First of all, for real symmetrical arrays, any x..., you can introduce integrals for calculation."
I keep thinking and write like a god.
Chen Zhou kept swimming while holding the pen, writing his own problem-solving process on the draft paper.
“... Because a1,...,an is different from each other, if x1e^(-a1t)...xne^(-ant)=0, there must be x1=...=xn=0, so
Contradictory.”
Having written this, the answer is basically out.
Chen Zhou's strange feeling came out again.
Chen Zhou ignored this feeling and solved the entire problem according to his ideas.
"......... Using the above conclusion, we can prove that the matrix... is positive."
The problem of the question itself was solved, but Chen Zhou's strange feeling was not found.
Chen Zhou looked at the time. It was only half an hour passed, and it was still early.
He put the draft paper aside and planned to do these two questions again.
For numerical questions, use mathematical analysis methods, and for higher-generation questions, use advanced algebra methods.
Chapter completed!