Chapter 5: The first prize is the upper limit of the competition, not his upper limit!

Even though the admissions teachers present were usually very versatile and eloquent, at this moment, they were helpless. In order to preserve the dignity of the school, they could only honestly request off-site support.
"Professor Chen, I have a question that I need your help to solve."
Professor Chen on the other end of the phone probably didn't understand the situation and said, "What's wrong? Are you planning to continue your studies?"
"Didn't you say before that you would never continue studying even if you were beaten to death?" Professor Chen and Teacher Xu joked .
"Professor Chen, no, I'm talking to a promising student about admission. Alas, they gave him a question and said whoever solves it first will go to that school." Teacher Xu walked out of the kitchen and spoke in a low voice.
Professor Chen noticed that Teacher Xu gave three pieces of information in this sentence.
First, he found a good seedling.
Second, this promising student seemed to be no ordinary person, and he actually gave the admissions teacher a question.
Third, in addition to Teacher Xu, there were other admissions teachers who also found this promising student.
Judging from these three points, the person Teacher Xu found is definitely not an ordinary talent.
Professor Chen became interested and asked, "What good seedlings are you talking about? Please explain clearly."
"Professor Chen, do you know who won first prize in this year's National Mathematics, Physics and Chemistry Competition?"
Professor Chen quickly guessed the answer when he heard Teacher Xu ask this. He hissed and asked in surprise, "Are you saying that you were the one who found this talented student who won first prize in math, physics, and chemistry?"
"Yeah, otherwise I wouldn't have run all the way from the capital to this small place, not to mention the kid just turned 16!"
"Then send me the question as soon as possible." Professor Chen said as he looked up the names of the first prize winners of the National Mathematics, Physics and Chemistry Competition.
Luo Yao.
Good boy!
He is so capable at the age of 16, what will happen if he enters university!
While Professor Chen was staring at the two words on the webpage, Teacher Xu had already taken a photo of the question posed by Luo Yao and sent it to him.
Professor Chen narrowed his eyes and thought to himself that it was no wonder that Teacher Xu couldn't solve it. This problem was not something that he, who had switched to the physics major after graduating from undergraduate school, could learn.
That's really interesting.
When Professor Chen learned about the honors Luo Yao had won, he had already thought about taking him as his disciple, and when he saw the topic, he became even more interested in Luo Yao.
A person who just turned 16 actually learned algebraic topology. Needless to say, this must have been self-taught.
Because no tutor would be stupid enough to teach something as brain-intensive as algebraic topology!
It seems that the first prize in the national competition is just the upper limit of the competition, and definitely not his upper limit!
Professor Chen pulled over a pen and paper and began to calculate.
On the other side, the other admissions teachers were in the same situation. They all took out their phones and started making calls.
Professor Ouyang from East China University of Technology made several calls, but the other party did not answer. Finally, Professor Ouyang found Professor Xia from the Department of Microelectronics Science and Engineering.
He vaguely remembered that Professor Xia's major involved algebraic topology.
"Professor Xia, I have a special situation that requires your assistance."
"You say." Professor Xia spoke concisely and without any nonsense.
"Although it may sound a bit outrageous, I have a question about algebraic topology that I need your help to solve."
Professor Xia was silent for a few seconds, then said, "Send it to me."
Teacher Ouyang didn't say much and immediately took a photo and sent it to the other party.
Some admissions teachers were not far behind. They took photos of the questions and sent them to the professor group, and then @everyone in the group to do the questions.
So on this day, a strange phenomenon appeared in these top universities.
Some professors did not show up in the classroom after the bell rang, but asked students to study on their own first. Some professors suddenly said they had something to do during class and hurried back to the office.
These professors had only one goal at this time, which was to solve the problem given by Luo Yao as quickly as possible!
While the external helpers invited by the admissions teachers were solving the problems, the audience in the live broadcast room were not idle either.
"I've never seen a true academic master before, but now I have!"
"Oh my god, the only word I can understand from the words written by Luo Xueba is 'tight'! I'm sorry Luo Xueba TT"
"Ditto! I feel like I'm illiterate!"
"I think I can understand why Luo Xueba sets questions to test people. If he doesn't test people, he really doesn't know the level of each school's teachers!"
"Yeah, those admissions teachers were so confident back then that there was no problem, but now they're all rushing to make phone calls!"
"Even Mr. Li from Luo Xueba is no exception. He's probably on the phone with someone from National Tsing Hua University right now!"
"Guess which school's students figured out the answer first?"
"I guess it's National Tsing Hua University. They're really strong in science!"
"Yenching University is definitely not bad, okay? I remember a lot of science majors chose Yanching University!"
The people in the live broadcast room were discussing when they heard Teacher Ouyang hurried in with his phone. He said to the phone as he walked in, "Professor Xia, I'm turning on the amplifier on my phone. Please talk to him."
Then Teacher Ouyang pressed the hands-free button on his phone.
"Mr. Luo, let me first tell you the answer to your question. A is compact ."
"To prove that A is compact in the topology (L, Q, T), first consider any open cover of A, that is, the set of open sets whose union contains A."
"Now, for every subset S in B, since every subnet of S has the Cauchy property, we can conclude that every sequence in S has a point that converges to A."
"This is because, if there is no such point, it is also possible to construct a sequence in S that does not have any convergent subsequences, which contradicts the assumption that every subsequence of S has the Cauchy property."
"Next, consider the open cover of A. We need to choose a finite number of open sets to cover A."
"Since every subset S has a point that converges to A, we can choose a convergent point in each S, and these points form a finite subcover. Therefore, A is compact in the topology (L, Q, T)."
The live broadcast room was filled with "???" comments. Netizens always felt that Professor Xia's eloquent way of speaking was very much like their math teacher.
On the other hand, Luo Yao finally showed a smile on his face after listening to Professor Xia's answer.
"Excuse me, who are you..."
"Professor Xia Qing from the Department of Microelectronics Science and Engineering at Donghua University of Science and Technology." As soon as Teacher Ouyang saw that Luo Yao was interested in Xia Qing, he immediately took the opportunity to introduce him.
Teacher Xu and Li Hong, who arrived a few steps later than him, were standing inside the house with their cell phones in their hands, looking at Luo Yao blankly.
They were a step late?
"Oh my god, Yanbei and Tsinghua University are just this close to being first!"
"What a shame! That's great! I lost the bet!"
"What kind of school is East China University of Technology? Is it so awesome?"
"Of course, East China University of Technology is awesome. I remember they have a cooperative relationship with Huaji!"
"I remember that Huaji once had a 'Genius Plan' project, specifically recruiting top talents from around the world. I think one of them was from Tokyo Institute of Technology!"
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