A genius? I just love studying.

Chapter 73 This is what mathematics should be like
"Damn it, who is so tired of living that they dare to come to Dadi Internet Cafe to cause trouble? Don't you know who my uncle is?"

Wu Huachun had just hung up the phone when he heard cursing coming from the stairwell below.

The next moment, a young man in his twenties with curly yellow hair walked up the stairs, followed by four or five other teenagers dressed similarly, looking very aggressive.

The two groups met on a narrow road. The yellow-haired man's expression froze for a moment, then instantly put on a smile. "Uncle, are you here to support me too?"

He was not a fool. Combining the call from the front desk, he could guess that it was his uncle who came to cause trouble.

The reason why he deliberately spoke so loudly just now was that he wanted to introduce himself first, so that he could scare the other party away.

Who knew that the one who came to cause trouble was actually his own backer!

"No need, I can handle this myself!"

Huangmao patted his chest, looking very proud.

"piss off!"

Wu Huachun's excitement was like being poured with a bucket of cold water, and his interest immediately disappeared. "If I ever find out that your internet cafe accepts minors, you won't be able to open it anymore."

"Impossible, absolutely impossible!"

Huang Mao vehemently denied it, "I specifically greeted them!"

"It must be the front desk clerk who took the initiative. Don't worry, uncle. I will change the front desk clerk tomorrow!"

Wu Huachun glared at the yellow-haired man, turned around and walked into the Internet cafe without saying a word.

How could he not understand his nephew?

He believed that his nephew should know him very well.

"?"

Huangmao thought he knew his uncle very well.

But when he saw Wu Huachun enter the Internet cafe again, he was still full of questions.

He peeked into the door curtain and saw Wu Huachun walk straight up behind a young man, then stop and watch carefully.

He has seen this kind of situation many times in Internet cafes, usually it is teenagers addicted to the Internet watching the masters operate.

"Could it be that my uncle is addicted to the Internet?"

Huangmao tiptoed up behind Chen Hui and saw a scene that he would never forget.

"Damn it! Someone's actually doing math problems in their own internet cafe!"

He felt like something dirty had sneaked into his internet cafe!

However, who is this guy who makes his uncle pay so much attention to him?

There was quite a lot of noise here. With a group of people surrounding him, Chen Hui could still do his homework without paying attention to anyone else.

But other people couldn't help but pay attention to this side. Some people even pretended to go to the toilet out of curiosity and passed by here, tilting their heads to look at Chen Hui's screen, completely forgetting that the toilet was not in this direction at all.

There were also game enthusiasts who walked straight over. In their opinion, the person who could attract so many people to stand behind and watch in the Internet cafe must be a gaming master!

"?"

After seeing what was on Chen Hui's computer screen, they began to doubt their lives.

"Is this some new game?"

"Why does it make me dizzy just looking at it? Is it a hypnosis game?"

"Yes, that must be the case. I think this game should be to see who can last longer without falling asleep!"

Soon, more and more people gathered behind Chen Hui, including three security guards from Rongcheng No. 2 Middle School. The scene was extremely strange.

"Hey, Xiaotang, who's that guy over there? How could he even get the principal to bring security to protect him?"

Xia Mi was not a person who could sit idle, so when she heard the hustle and bustle, she diverted her attention again.

But this time, even Lin Xiaotang briefly shifted his gaze from the game and looked in the direction of Chen Hui for several seconds.

She realized that the guy seemed to be doing math problems! The way he was concentrating on one thing was very similar to the way his father picked up the gun.

Very charming!
But that was all, and Lin Xiaotang quickly returned to his own world.

The second question of the fourth problem is to find the dimension of W∩U0.

The idea is also not difficult. You just need to find the characteristic subspace, then determine the representation of U0, and finally find the dimension of the intersection.

But the whole process was extremely complicated, and it took Chen Hui more than ten minutes to obtain a set of linear equations that satisfied the two spatial conditions.

Next, we need to solve this set of equations and then determine the required dimension based on the dimension of the solution space.

During the entire process, Chen Hui did not dare to be distracted at all, otherwise any negligence might lead to the process being repeated.

Chen Hui felt that this question was a bit difficult.

He thinks math shouldn't be so complicated!

Chen Hui stopped writing and looked at the question again.

"Ok?"

An Chengzhang, who was standing behind Chen Hui, frowned, not knowing why Chen Hui stopped.

He could see that Chen Hui's thinking was correct, and he had even obtained a set of equations. All he had to do next was solve them to get the answer.

We are already standing behind the door of victory, why should we stop?

Zhao Defeng shook his head. It seemed that the little guy was stumped.

But being able to achieve this is already very powerful!
He did not forget that the little guy in front of him was only sixteen years old!

Sixteen years old!

"I see!"

"I see!"

Just then, a smile appeared on Chen Hui's face after he stopped writing and thinking for a few minutes.

这道题里线性变换 f关于基向量的作用公式 f(vi)=(i-1)(2d-2-i)v(i-1)/2+1/2v(i-1)具有一种特定的递推和关联形式，这种形式与李代数中元素之间的交换关系所体现的结构很像！
Lie algebra uses the commutator [x, y] = xy-yx to describe the relationship between elements. The linear transformations h, x, y defined in this problem satisfy [h, x] = 2x, [h, y] = -2y, [x, y] = h. This relationship is similar to the relationship between the commutators of Lie algebra.

So, can we use Lie algebra to deal with this linear transformation?

A flash of inspiration suddenly appeared in Chen Hui's mind, and he couldn't stop!
Moreover, solving the eigenvalues ​​of the linear transformation f would be very complicated if the characteristic polynomial det(F-λI) was directly calculated. However, Lie algebra has a set of mature methods to study the spectral properties such as the eigenvalues ​​of linear transformations.

By establishing the Lie algebra homomorphism φ: sl(2, C)→gl(V), and then establishing the conjugate relationship between f and the elements in sl(2, C), the eigenvalue problem of f is transformed into the eigenvalue problem of the related elements of sl(2, C), which is easier to handle. The known eigenvalue results and properties of sl(2, C) are used to solve the eigenvalue of f!
As for solving the 2nd and 3rd dimension problems, we can also use the properties of Lie group elements to analyze the structure of characteristic subspaces and their intersection.

The subspace dimension problem is related to the eigenvalues ​​and characteristic subspaces of Lie group elements, and the calculation of dimension is simplified through group theory and Lie algebra methods.

Everything just happened naturally.

When Chen Hui finished writing the last symbol, only twenty-one minutes had passed since he picked up the pen again!

Chen Hui felt like he was soaking in a hot spring pool. His pores were dilated, his scalp was tingling, and his whole body felt refreshed.

Mathematics is so wonderful!

If he continued to calculate in the same way as before, it would take at least several hours to get the answer.

Looking at the answer he wrote, Chen Hui was very satisfied!
This is what mathematics should be like!
[Your math level increased from level 2 31% to 36%]

The moment Chen Hui finished writing the answer, a barrage of comments popped up in front of him.

Chen Hui's mood became even better.

Learning mathematics requires a flash of inspiration. Others may not be sensitive to this subtle inspiration, but every improvement of Chen Hui can be seen!

Although the improvement this time is only 5%, the inspiration accumulated over time will eventually build a mathematical building!
Thanks to Qiesu and Chen Yuling for their reward and support!

By the way, Lin Xiaotang is not the heroine. There is a high probability that there is no heroine in this book. 99.99%

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(End of this chapter)