From Almighty Scholar to Chief Scientist

Of course, Lin Xiao didn't bother to care what the people under him thought. He talked about himself, and whether the people under him could understand him or not depended on his ability.

Of course, some people's eyes lit up.

correct!The principle of tolerance and exclusion!

Damn, the boss is indeed a boss, this observation is too careful!

However, it was too early for their eyes to shine.

Because Lin Xiao's next step of using the principle of tolerance and exclusion made them all stunned, because this step was too complicated, if they were to use it, I'm afraid it would be difficult to get started even if they thought about it.

Of course, there are also a few people who thought of using the principle of tolerance and exclusion, but they didn't know what to do after using it, and then they got stuck there, so they watched Lin Xiao's next steps, and gradually admired them in their eyes.

Soon, Lin Xiao wrote about the same place, and then said: "According to the expression, we can use the generating function to do this recursion."

When they heard that they were going to continue to use the generating function, the eyes of the few people lit up again, right!

mother function!

Why didn't I think of it when I wrote it?

They were even more amazed by it, and felt sincere admiration for Lin Xiao in their hearts.

In this way, Lin Xiao continued to write, talking about his thoughts while writing. The students who could keep up were immersed in the guidance of the learning god, while the students who did not keep up were already lost in confusion.

who am I?

where am I?

What bible is written on the blackboard?

"It's rather strange here, and we need to use a circular polynomial. I don't know if you know the circular polynomial. It refers to the first integer coefficient polynomial of the minimum degree that an n-degree primitive unit root satisfies."

"In simple terms, it means that in the multi-realistic X^n-1 factorization result, a specific polynomial f(x), the solution that satisfies f(x)=0 is not less than n degree, such as X^n- 1's solution to the equation."

"This one is quite out of the way, it doesn't matter if you don't think of it."

"Then we will use the circular polynomial to zoom to the end. It is still a little bit short here. We will continue to use tolerance and exclusion to split it into mod5, and multiply the result by this matrix...then the power of 2 becomes the generating function. Almost out."

"After the final writing, there are still restrictions that cannot be forgotten to add."

After Lin Xiao finished writing, the big blackboard was almost completely filled by him.

Looking back at the process, there was basically no problem, so he wrote down [Zhengbi] stroke by stroke in the last position.

"Ok, done."

Lin Xiao said, putting the pen aside, he couldn't help feeling that this kind of blackboard pen is still easy to use. If you use chalk, your hands will be covered with chalk dust.

The students who didn't understand under the stage applauded directly after hearing Lin Xiao finished speaking.

Awesome 666!

Although we can't understand anything, we can still call 666.

Of course, the few students who understood were immersed in Lin Xiao's answering process, absorbing the knowledge they hadn't mastered.

Some people have already taken out their notes and started to memorize them. Whether they understand it or not, Lin Xiao's answering process is worth studying. Maybe they will encounter this type of questions in the future?

Especially the No.11 student Ouyang, who scored 2 points, felt a sense of admiration. To this level, he was completely incomparable. He even wanted to study with Lin Xiao. So that Lin Xiao can guide himself.

As for Chen Song, who stood by and kept looking at Lin Xiao, he was not surprised by Lin Xiao's thinking process, because he had already been surprised once when he read Lin Xiao's answer sheet.

But he is still shocked now.

Because the calculation speed shown by Lin Xiao when dealing with the parent function, even he himself could not achieve that level.

This part is the most complicated part of the question, and it almost reminded him of Ramanujan's formula.

The generating function itself is complicated, not to mention this question. Even if you know how to use the generating function, you may not be able to calculate it from the beginning to the end. Lin Xiao not only calculated it, but also so quickly that Chen Song It can only be described as 'fast, accurate, and ruthless'.

And what is the most important thing in mathematics?

In addition to those so-called mathematical inspirations, the next most important thing is to forget.

Arithmetic is the oldest, most basic, and most fundamental thing in mathematics. Just like the "art" in its name, it is a kind of technology. The deeper you master this technology, the more you will be able to attain in mathematics. sharp.

Just like Euler proved that the sum of all natural numbers is equal to -1/12, although the result is definitely wrong, creating a proof that looks reasonable requires very sensitive computing power.

In the end, Chen Song could only sigh in his heart, maybe some geniuses are really hard to use common sense.

So, he also clapped his hands, gave Lin Xiao a thumbs up, and said appreciatively: "Okay, Lin, you are very good, very good."

Lin Xiao smiled and nodded: "Thank you teacher."

"Well, you deserve it, well, let's go down now."

Chen Song nodded, and then motioned that he had nothing to say about such a student.

Lin Xiao didn't stop any longer, then stepped off the stage and returned to his seat.

And in the process of walking back, he could also feel that many eyes around him followed his steps until he sat down.

He sighed in his heart, although he was very happy that everyone was impressed by his talent, but why...

Isn't it because of his looks?

Or Professor Chen Song has vision, can deal with it, and directly said that he is a handsome guy.

……

The next course, that is, Professor Chen Song explained the process of Lin Xiao's writing from the beginning. Obviously, many students present did not understand. After all, Lin Xiao is not a teacher, so he can't explain it to everyone. Can understand, and this is the task of the teacher Chen Song.

Of course, even if he was talking about it, some of the students present still couldn't understand it.

And even if you understand it, you will find that when you deal with the parent function, you will make your head very big. If you are not careful, you will get a problem, and you can only go back and learn it by yourself.

As for Lin Xiao, he picked up abstract algebra again after hiding his achievements and fame, and continued to read.

……

Time passes quickly.

This morning's class ended just like that. After eating in the school cafeteria at noon, Lin Xiao returned to the hotel room.

And as soon as he entered with his front foot, Kong Huaan also entered with his back foot.

Seeing him coming in, Lin Xiao greeted with a smile: "Have you eaten yet?"

This time, Kong Huaan looked him squarely, and finally nodded and said, "Eat."

"What do you think of the canteen here? Is it delicious?"

"generally."

"I recommend you to eat their grilled rice on the second floor. It's not bad, and you'll be reimbursed anyway."

"Um……"

It was rare for Lin Xiao to say a few more words to him when he saw this person, but Lin Xiao felt a little surprised, but then he didn't say anything.

He was just being polite, he didn't look up and he looked down. Although Kong Hua'an was a little too introverted, he couldn't just ignore others. What if people felt that they didn't talk to him and became more and more introverted? ?

A considerable number of young people today are like this, they belong to passive personality, but a considerable number of people in this passive personality are eager to be paid attention to, but their passivity always makes it difficult for them to really get attention , So a vicious circle will be formed, so that they become more passive and even feel inferior.

So talk to them from time to time to show that I have not ignored the other party, maybe it can help him a little bit psychologically?

Of course, it was limited to the [-] days they lived together. However, if Kong Huaan sent him to Beijing University and also chose the Department of Mathematics, wouldn't they still have a chance to become roommates then?

Thinking of this, Lin Xiao couldn't help but look at Kong Hua'an a few more times.

However, at this moment, Kong Huaan took the initiative to say to him: "I'm actually... here to listen, and I can't be reimbursed for my food."

Lin Xiao was stunned for a moment.

Kong Huaan was born as an auditor?

This was a bit of a surprise. I didn't expect to meet one of the more than 20 auditors.

Then he smiled and said, "That's it, that's pretty good."

However, Kong Huaan asked at this moment: "Would you... look down on me because of this?"

Lin Xiao was speechless for a moment.

Brother, it seems that your psychological problems are not normal.

Chapter 38 People should not be afraid to change themselves

"Brother, did you misunderstand something? Isn't it good to be able to attend the audit? At least it means that your family is willing to spend money for you. I remember 6000 yuan?"

"My dad is very rich. My family lives on the second ring road in Beijing. There are two buildings, more than a dozen suites, and a courtyard house. 6000 yuan is nothing to him."

Lin Xiao: "..."

He didn't want to talk anymore.

You go alone to be an autistic child.

No, it should be the autistic rich second generation.

But after a long while, he still said: "That's right, your family is so rich, I can't envy you enough, why do you look down on you, why do you think so?"

Kong Huaan was silent for a moment, and finally, as if wanting to let go of his heart, he let out a sigh of relief, returned to his bed, leaned against the head of the bed, and talked about the past.

But the sound is still as small as ever.

"My family has always told me this since I was a child. If I am not as good as others in my studies, others will look down on me. They told me to study hard."

Lin Xiao couldn't help feeling speechless.

Are rich second generations going to be like this?

How can this make children from poor families like them feel at ease?

Like him, can only hang up?

He couldn't help asking: "Your family is so strict with you?"

Kong Huaan nodded: "Well, I'm the only child in my family. I haven't had much time for myself since I was a child. I'm either at school or studying with my tutor at home. I usually have interest classes, but later some tutors think I'm not very good. Talking is difficult to communicate, so I won’t be taught, but my family still asks me to study hard, so I can only study by myself.”

"You really don't talk much." Lin Xiao shook his head, finally thought about it, and said, "It's probably because your family expects you to be outstanding, but their method is a bit...too forceful."

Kong Huaan nodded silently, "Yes."

The room was silent for a while.

Kong Huaan said again: "So I feel... I am very similar to the depression mentioned on the Internet. I dare not commit suicide, but I think my life is probably like this. If it continues like this, maybe one day I will think about it. Did it work?"

"Then figure it out now, isn't it good if you figure it out?"

"I don't want to kill myself right now."

...So what you're talking about is suicide?

Is this depression?

Lin Xiao said: "But at least your grades are pretty good. You can come here, which shows that your math is also very good."

"Well... Except for mathematics, my grades in four subjects can be admitted to Beijing University and Qinghua University, and I am very interested in mathematics, so I participated in the league, but unexpectedly passed the exam, and finally entered our Shangjing mathematics team. After my family knew about it, they assigned me a lot of math tasks, and invited several people who had won CMO gold medals and the coach of the national math team to give me extra lessons.”

"But I always have a feeling that I don't like them forcing me to study. I like to study by myself. When I am forced to study, I feel depressed, so my math is getting worse and worse. In the previous two days of exams, I only scored ten points."

"Well..." Lin Xiao thought for a while and said: "I see, you actually like to be more free and comfortable, and you don't want to be controlled, right? You can bear it a little longer, and you will go to college soon, so you can leave Are you in the family?"

Kong Huaan shook his head and said, "My family is in Shangjing, so I can only choose Peking University and Qinghua University. My family doesn't accept other schools."

"What about studying abroad? Your family is so rich, you can definitely go abroad, right?"

"I don't like foreign countries. The foreign environment is too strange and the culture is different. Moreover, I heard that people like me will be bullied abroad."

Lin Xiao: "..."

He scratched his head, is he now going to give psychological counseling to this rich second generation who is suspected of depression?

But what kind of psychological counseling does he know?

But at this moment, Kong Hua'an suddenly turned his head and asked him, "Does your family care about you?"

"For that matter... don't worry about it. My family used to think that I would be fine if I could get a copy. Later, I got good grades and could get into 985, so they didn't care much."

"So now you can not only go to Qingbei, but also have the opportunity to participate in the international mathematics competition?"

"maybe……"

Lin Xiao thought about it, maybe it was because his family didn't care much about him that he was more interested in studying, right?