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

Chapter 9 He's Not a Mathematics Major
Looking at this topic, many students have no idea at all, and don't know where to start.

This is also very normal for them. After all, they have just started learning mathematical analysis. When encountering such a comprehensive problem, it is indeed difficult to find the solution to the problem at once.

There were also a few students who seemed to have some ideas and began to write on straw paper to try to answer the question.

After reading the questions, Ning Chen first decided that this was a question he had never seen before, but he quickly found a way to solve the question.

After all, Ning Chen is a contestant who has studied the entire "Mathematical Analysis" by himself, plus "Advanced Algebra", "Analytical Geometry", "Elementary Number Theory", "Abstract Algebra (Elementary)", "Mathematical Modeling" and other With the blessing of several mathematics knowledge, Ning Chen has a problem-solving ability that surpasses that of mathematics majors.

"First make a difference between f(x+t) and f(x), determine the range of this difference, and then according to the first form of Kronecker's theorem, let α1, α2,..., αn be any real numbers, θ1, θ2, ..., θn is a real number that is linearly independent on the integer ring..."

Ning Chen quickly wrote down his problem-solving process on the paper. He paused a few times in the middle and thought for a while, but in the end he completed the whole proof process relatively smoothly.

"Then the number sequence {tn} is what is required. In conclusion, the original proposition is proved."

After finishing the entire proof process in a relatively simple way, Ning Chen breathed a sigh of relief.

Speaking of which, Ning Chen was not satisfied with his proving speed.

"It seems that I usually do too few questions, and I get stuck in the middle. If I were a mathematics major, I should have completed the entire proof process long ago."

But when Ning Chen looked up, he found that none of his classmates had raised their hands.

Everyone was either staring blankly at the questions on the big screen, or frowning and biting their pens, writing and revising on the straw paper, but no complete ideas emerged.

Seeing everyone's painful state, He Sheng on the podium looked relaxed.

Since everyone's answers to the questions were too smooth before, in order to prevent the students from being too proud, He Sheng deliberately came up with a question that was a bit out of the box, to kill everyone's enthusiasm.

Seeing that no one raised their hands, He Sheng walked off the stage and began to patrol the aisles.

When he got to the last row, He Sheng saw that Ning Chen hadn't started writing, and thought that Ning Chen didn't have any ideas.

But when He Sheng carefully looked at the process on Ning Chen's straw paper, he was surprised to find that Ning Chen had already completed the proof of the topic.

Although Ning Chen's proof process was a bit simplistic, He Sheng knew that Ning Chen's thinking was completely correct.

"This...you wrote it all yourself?"

"Yes, teacher, but I don't know if I wrote it correctly."

In fact, Ning Chen is still very confident in his thinking about solving the problem, but Ning Chen is not quite sure about the problem-solving format, so he tentatively asked He Sheng.

"You proved that there is no problem, go to the blackboard and write it!"

There was some uncontrollable excitement in He Sheng's words. After all, He Sheng could not have imagined that Ning Chen would be the first person in the classroom to answer this question.

There are more than 100 students majoring in mathematics, but none of the auditors majoring in materials can do fast and well, which inevitably makes He Sheng feel incredible.

Ning Chen hesitated for a moment, but still walked towards the podium.

Other students in the classroom also raised their heads and focused their attention on Ning Chen.Seeing that the unknown student came to the podium, the mathematics students were all surprised and started talking among themselves.

"Who is this student? Why did Teacher He let him go to the front?"

"I don't know, but since Teacher He asked him to go up, it seems that he really solved this problem."

"It can't be a student who transferred from another major. I've never seen this person before."

"If you are transferred from another major, it is impossible to learn so quickly. Maybe it is a student who has taken a break before, and has already learned these courses."

Ning Chen didn't pay attention to other people's comments, and didn't even bring the draft paper, so he picked up the chalk and began to write the process.

Because Ning Chen has completely memorized the entire proof idea in his mind, if he writes according to the scratch paper, the speed will be slower.

In addition, because the whole process is for all students, Ning Chen deliberately wrote the process in detail, instead of omitting a lot of intermediate processes as he did on the draft paper just now.

Ning Chen's chalk writing is not bad, because he was a math teacher in a training institution in his previous life, Ning Chen is still very accustomed to using chalk.

Seeing Ning Chen writing the proof process of this question on the blackboard without stopping, the students in the classroom were discussing one after another.

"This person doesn't look simple. I feel that the process of writing the proof is very smooth. He can't be a new teacher in our major, right?"

"Although I can't understand the process of his writing, I still feel very powerful."

"Looking at this posture, I really don't know if four blackboards are enough for him."

And there are also a few students who suddenly understood something after seeing the proof ideas written by Ning Chen.

"It turns out that the whole problem-solving idea first uses the first form of Kronecker's theorem, and then discusses whether a1, a2, and a3 are linearly independent on the integer ring, and further proves that {tn} in the above conclusion is an upper bound of……"

"I kind of understand it, but if I hadn't seen his way of thinking, I wouldn't have thought of this method at all. This requires too much basic mathematics. All situations must be listed, and there can't be any omission."

"Give me two hours, and I might be able to solve this problem, but if I only have 10 minutes, I'm afraid I can't even come up with the basic idea."

When Ning Chen was about to use up two blackboards, he finally finished writing the process of this question.

"Well written, go back."

He Sheng didn't ask Ning Chen to explain his proof process to everyone, so Ning Chen didn't stay on the podium any longer, and went straight to his seat.

Along the way, almost all the students in the classroom looked at Ning Chen, their eyes filled with various emotions.

Next, He Sheng followed Ning Chen's writing process and explained it to everyone.

After He Sheng's explanation, only some of the students understood Ning Chen's problem-solving ideas, but this was only at an understandable level, and it was still impossible for them to do it alone.

"The classmate just now is a freshman majoring in materials. We students majoring in mathematics need to continue to work hard."

(End of this chapter)