Replay 07: Opening the Temple of Learning

Chapter 5: Delaying for even a second is a disrespect for intelligence

Singularity Lab Theorem 1: After entering the Singularity Lab, real time will stagnate. After leaving the Singularity Lab, the speed of time passing in the Singularity Lab is the same as that in the real world.

In other words, Lu Shan had enough time to ask Poincare questions about math problems, and he would not leave until he had explained them clearly and even given two or three different solutions.

The pale and simple Singularity Laboratory.

Poincare, who had not seen Lu Shan for several hours, took out a pen from somewhere and started writing and drawing on the simple table.

Poincare’s eyesight was not very good, and his eyes were almost close to the table.

When Lu Shan saw it, he realized that this was proving his own Poincare conjecture.

The fact that the Poincare conjecture was not proved by Poincare was his biggest regret in his life. Therefore, the first thing he did when living in the Singularity Laboratory in the form of a heroic spirit was to make up for this regret.

Lu Shan is stuck. The Poincare conjecture has been proved. How do you say it in English?
Poincaré did not know that his topological conjecture about three-dimensional manifolds would be named the Poincaré conjecture and would have been proved.

So Lu Shan had to search the limited English words in his mind and finally said, "It has been proven!"

Poincare's body froze for a moment, and after a few seconds, he slowly raised his head.

His beard was slightly bent because his face was pressed against the table, and his eyes were blurry and incredulous.

"Really?"

"Did you prove it?" Poincare looked at Lu Shan, and his eyes suddenly brightened.

Lu Shan's English vocabulary was indeed very limited, so he gestured and used words that could roughly express his meaning to indicate that this was not proved by him but by others, but now he had other things to do, so he would hand the proof over to Poincare next time.

Poincare understood.

Lu Shan took the pen from Poincare and wrote down the CMO final simulation questions he had just memorized on the white wall.

Lu Shan doesn't have many advantages, one of which is that he has a photographic memory for math problems.

In fact, Lu Shan had an idea for this problem after studying it in the Singularity Laboratory for a while, but he always felt that he was just missing that finishing touch, so he wanted to hear how Poincare solved it.

When Poincare saw the math problems, the light in his eyes became brighter, and his body was no longer stiff and awkward. He seemed like a different person. He picked up a pen and wrote the answers on the wall while explaining them to Lu Shan in English.

Mathematics is the universal language of the universe. With the help of mathematics, Lu Shan gradually became familiar with Poincare's French English.

Perhaps if Lu Shan spends more time with Poincare and immerses himself in an English conversation environment, his English performance will improve.

In this era, learning English does not mean being unpatriotic or worshipping foreign things. The centers of basic scientific research are in Europe and the United States, and a large amount of literature is written in English.

If Lu Shan wants to achieve greater academic success, he must pass the English test.

Lu Shan also discovered the benefit of Theorem 1 of the Singularity Laboratory. He spent points to redeem the number of times he could enter the Singularity Laboratory, but there was no time limit after entering. In other words, theoretically he could get unlimited time in the Singularity Laboratory.

You can use this time for studying or creating, as long as your mental energy can keep up.

But next time I come, I must bring some pen and paper, as well as the latest mathematical research results and related papers, so that Poincare can keep up with the times and know how high the topology he pioneered has reached.

Poincare finally found f(x)=x on the wall, which is in line with the question.

"I have argued this in two ways. Young man, this question is very simple."

Lu Shan understood it completely.

I also felt my brain was a little empty. While communicating with Poincare, I was not only able to gain knowledge, but also gain Poincare's understanding.

This feeling is like a spring breeze, very comfortable.

Being able to explain problems to young people also brought fun to Poincare's life.

He said, “Next time you come, prove for me the topological conjecture about three-dimensional manifolds and bring me some books.”

Exit Singularity Labs.

Lu Shan deliberately looked at the clock on the wall of the training classroom.

Tick-tock, exactly one second has passed.

The first theorem of the singularity laboratory is proved.

"Tell me how to solve it?" Mr. Zou, the instructor of the training class, obviously did not believe what this student who suddenly showed up said.

This mock test was made by the training experts (former CMO test setters) at the training class headquarters based on the CMO final test papers of previous years. It is not a real test. In other words, it is impossible for anyone to have done it in advance.

This question seems simple, but it is actually very difficult.

This student union?
Teacher Zou raised his eyebrows. He didn't know which training class the student came here to act naughty.

This is a big question in the CMO final accounts!

Did he simply not understand the question and simply treated it as an ordinary algebraic proof?
What Mr. Zou hates most is people who only know how to make a fuss.

"You must read the question carefully. This is not a high school algebra problem."

Lu Shan laughed, picked up the chalk and wrote down two solutions on the blackboard without stopping.

Fifteen minutes later, the blackboard writing was finished.

The training teacher behind Lu Shan had been following him and reading the blackboard, his eyes twitching wildly, and he was completely shocked!

Method 1 is the standard answer given by the training institution’s headquarters. It is clearly stated but the steps are complicated.

Method 2 has clear and simple logic and proof, but the referenced knowledge points are beyond the scope of the syllabus.

The students in the classroom were also stunned.

After all, they are the top students from all districts, cities and counties in Jiangzhou City. The purpose of their training here is to fight for two places in the CMO winter camp of the training institution. Everyone has no idea yet, so how can an outsider answer it?
Su Ming was also in the classroom. He did not attend evening self-study classes at school, nor did he have to compete for a place in the winter camp. Instead, he came here simply to train and strive to achieve good results in the winter camp training.

He thought about the problem for a long time and tried many methods, but he still couldn't grasp the solution.

No one expected that Lu Shan, who suddenly came in, could solve the problem in seconds after reading it once. His solving steps were as smooth as flowing water, without even the slightest hesitation or thinking.

Su Ming swallowed, unable to believe it!

【Points: 1】

[Remaining points: 3.3]

Lu Shan was also very satisfied. He solved difficult problems in front of many people and earned considerable points.

Teacher Chen quickly said to Zou Yao, the training teacher: "Teacher Zou, this is the student who just came to register, Lu Shan from Jiangzhou No. 1 Middle School, he wants to..."

Teacher Chen was looking at so many students in the audience, all of whom came for the winter camp spot. There were some things he couldn't say, so he quickly pulled Teacher Zou out of the classroom and quietly explained Lu Shan's situation.

"He wants to qualify for winter camp next month."

Qingniao is just a platform that recruits training teachers with high salaries to teach students, so the training teachers have a lot of say.

Moreover, there is a contempt chain for training teachers, with competition training teachers at the top.

Zou Yao is a native of Jiangzhou City. He won the CMO gold medal a few years ago, participated in the national training team, won the gold medal in the International Mathematical Olympiad (IMO), was admitted to the Department of Mathematics at Shuimu University, and went to Princeton University for further studies after graduation.

It may be due to the environmental mentality, or it may be that the mathematical talent has been exhausted.

After Zou Yao went abroad for several years, he was like everyone else. Not only could he not get a scholarship, but his graduate thesis was never passed.
Later, the family had no money to support Zou Yao. If Zou Yao worked as a dishwasher in the United States to earn a living, he would not be able to concentrate on his studies. He had to apply for a delayed graduation and return to China to earn money before working on his graduate thesis.

Because of his CMO gold medal and experience in the national team, Zou Yao returned to China and worked as a teacher in the mathematics competition training class at Qingniao with a super high salary.

He planned to go to the United States to finish his graduate thesis after he made some money.

Zou Yao looked at Lu Shan and his heart was moved!

The quality of students in Jiangzhou City is definitely not as good as those in first-tier cities. Among the six students he is training, including Su Ming who has already qualified for the competition, the students' conditions are far behind those of students in first-tier and very developed cities.

Even if you get the qualification for the CMO Winter Camp held by Bluebird Organization, the possibility of winning the gold medal is very slim, and only one or two people have a chance to barely fight for the bronze medal.

But Lu Shan's level is completely different from the people in the classroom. Based on the way he thought and agility in solving the problem just now, he might be able to earn a gold medal.

Zou Yao's heart beat faster. If his students could win a gold medal and enter the national training team, he would also be able to receive a generous bonus and return to the United States immediately to continue working on his thesis.

But Zou Yao is not an impulsive person, and doing the test once cannot prove anything.

Zou Yao smiled and said to Lu Shan: "You answered the question just now pretty well. Do you want to come to the training class?"

(End of this chapter)