From all-round academic master to chief scientist

Is this the point?

Isn’t the point that you get perfect marks?

Lin Xiao could only say that being handsome is obviously the most important thing.

Just kidding, perfect scores are only for a moment, being handsome lasts a lifetime. What's more, getting perfect scores in competitions is considered basic to Lin Xiao, and he doesn't care whether he is praised or not.

And he will only care if someone compliments him on how handsome he is.

"Ahem, he is indeed handsome, but you and your girlfriend can discuss this matter in depth later. Okay, please sit down first."

Chen Song didn't expect this thick-browed man to be quite narcissistic, but he was too lazy to dwell on it. He waved his hand and asked Lin Xiao to sit down, and then continued to report the results of other students.

And when he was reading the results of other students, he didn't specifically ask this student to stand up. It was obvious that he just wanted to get to know Lin Xiao and was not interested in getting to know other students.

In this exam, except for Lin Xiao, who got the first place with a perfect score, the second place got a score of just over 100 points, and the third place got a score of over 90 points.

The subsequent scores became lower and lower. However, when the score was 30 points, Chen Song did not continue to sign up. Obviously, there were still students with scores below 30 points, but Chen Song did not take care of their face. explain.

"Okay, we've finished talking about the results. The members of the training team and the students who are observing are all among them. If you feel that your results are not good, then you should work harder."

"Okay, what about today's class? I will explain the test papers specifically to you."

Then Professor Chen Song started talking about the paper.

There was nothing good to say about the test paper. Lin Xiao didn't even bring the test paper, so he couldn't listen to it.

Moreover, it was boring to listen to it, because the problem-solving methods taught by Professor Chen were all standard methods. He had considered them when writing. However, these methods were too basic and required many words and steps. He I was PASSed as soon as I figured it out.

He is lazy and basically uses more convenient methods to do things.

So, he gave up listening to the lecture, opened the abstract algebra he had brought, and continued reading.

Because after reading advanced algebra, he already has a certain foundation to understand abstract algebra. Generally speaking, abstract algebra is also arranged to be learned after advanced algebra.

However, there is no inevitable connection between the two. Abstract algebra is also called modern algebra and is very closely related to group theory. It can be said that abstract algebra is the prerequisite knowledge of group theory, and group theory is also an important branch of abstract algebra.

So entering abstract algebra means entering a deeper level of algebra. The difficulty is naturally not low at all. After all, just look at the name, "abstract", and you know it is very difficult. Look at the masterpieces of abstract masters, how many people can do it? Do you understand?

Of course, abstract algebra is difficult, and it naturally has an important impact on all modern mathematics and some other scientific fields, so its status is still relatively high.

Just watching like this, Lin Xiao gradually became addicted and entered a learning state.

As for the students around him who saw him bringing out an incomprehensible textbook, some of them simply looked at it a few times. After a few glances, they felt that their eyes were blind. What are the things on it? Why can’t I understand anything?

Then he quickly avoided his eyes and looked at the blackboard again. His face was even more shocked. Hey, why is the blackboard full?

Eh? Teacher, why do you have to wipe the blackboard?

In the end, the unlucky guy could only cry without tears.

Everyone is a mathematical genius, but obviously there is a difference between a mathematical genius and a mathematical genius.

In this way, Teacher Chen Song talked all the way to the last question.

He did not continue speaking, but looked in the direction of Lin Xiao and shouted: "Classmate Lin Xiao."

Lin Xiao did not respond.

"Classmate Lin Xiao?" Chen Song called again.

At this time, the student next to Lin Xiao pushed him, and he finally came to his senses, and then asked with a puzzled look on his face: "What's wrong?"

"The teacher calls you."

Lin Xiao quickly stood up and said, "Teacher?"

Chen Song shook his head helplessly, but he did not dwell on the problem of Lin Xiao not attending the class. His class was originally a paper review, and Lin Xiao got full marks, so of course he had the unconditional right not to attend the class.

Then he said to all the students: "The last question in our exam is the most difficult one in this exam, and only Lin Xiao got full marks, followed by Ouyang, who came in second, and got 11 points. There were 5 other students who also received scores ranging from 10 points to less, and the remaining students did not score any points.”

"The method used by Lin Xiao on this question is very good, so I hope everyone can learn it. Let's also listen to how Lin Xiao came up with this method."

Lin Xiao touched his nose. He didn't bring the test paper. His process was all written on the test paper.

Also, is that question really that difficult?

He thinks it's pretty good.

However, the teacher asked him to go up, so he had no choice but to go up. Anyway, he still had an impression, so he could just recalculate and be done. It was no big problem.

So he got up from his seat and walked to the stage.

Chen Song handed him the blackboard pen, but when he saw that he didn't bring the test paper, he couldn't help but ask: "Where is your test paper?"

"The test papers have been left at the hotel."

Chen Song: "..."

Don’t you bring any test papers to class?

Could this Lin Xiao be very confident about getting full marks after finishing the exam?

But without the paper, Lin Xiao probably wouldn't be able to write it. After all, the process of this question is quite long, and there are a lot of calculations in the middle, and Lin Xiao may not be able to remember them all.

So he asked: "Can you write it? If it doesn't work, you can just talk about your ideas."

Lin Xiao waved his hand and said nonchalantly: "Ah, it's okay, it doesn't matter. I just calculated it again. I calculated it faster and I still have a little impression."

Everyone was speechless.

Just counting it again? Okay, you're the boss, start your show.

Chen Song didn't say anything. Some mathematical geniuses are like this. If they forget a theorem, formula or something, they just deduce it again, and then they 'remember' it.

Although it is difficult for Lin Xiao to reproduce such a complex calculation, it is not necessarily impossible.

So he gave up his position and looked forward to Lin Xiao's performance.

Lin Xiao took the pen and looked at the question Chen Song had written on the blackboard.

[Given a positive integer n, there are exactly 36 different prime numbers that divide n. For k=1, 2,...,5, let the integers relatively prime with n in [(k-1)n/5, kn/5] be Cn. It is known that C1, C2,..., C5 are incomplete Same, prove ∑5\u003ej\u003ei\u003e1(Ci -Cj)\u003e2^36. 】

"Um...yes."

After briefly reading the question and adding his own impressions, he quickly said: "What can you think of when you look at this ∑5＞j＞i＞1?"

"It's very simple, the principle of inclusion and exclusion!"

"So next we use the inclusion-exclusion theorem to write the expression."

Then, he started writing on the blackboard.

[Proof: Let’s assume n=P1^a1*P2^a2……*P36^a36.

Definition: f(n)=……]

Looking at what he was writing on the blackboard, more than half of the math geniuses below were still confused.

Boss, what are you writing now? !