Chapter 299: On gambling

Chapter 299
"Old Lu, how about we gamble again this year?" Professor Liu looked at Professor Lu with a smile and suggested.
"What are you betting on?" The loss last year was like a thorn. Professor Lu of Ka's heart was very uncomfortable, so Professor Lu did not immediately reject Professor Liu's proposal.
Professor Liu said, "This time we won't have more people than any other company that won the first prize. We are simpler than..."
He pointed to the teaching building used for the examination and said with a smile, "How about looking at the student who came out of the examination room first?"
"This..." Professor Lu hesitated for two or three seconds, then nodded gently, "Well, it's better than this."
"So, what is the bet? You don't want me to teach your group of students again?" Professor Lu asked.
"No, no," Professor Liu shook his finger, "Let's bet something else."
"A few days ago, the National Natural Science Foundation of China just announced a pure mathematics research project. You Tsinghua University and our Peking University School of Mathematics are grabbing the right to research on this subject. I know that Tsinghua School of Mathematics has always been responsible for the application of this subject. ."
"And the bet, how about who loses and who takes the initiative to abandon the contest for that subject?"
Professor Lu's eyes gradually became sharp, and he realized that he seemed to have been caught by Professor Liu, "You were waiting for me here."
Professor Liu shrugged, "Tao Gong Jiang is fishing, and those who wish to take the bait. Of course, you can choose not to bet against me."
"However, my family understands their own affairs, and you also know that if there is no unexpected situation, the people of the National Natural Science Foundation will of course choose the stronger Peking University School instead of you."
Professor Liu put his hands on the armrests of the chair, leaning on the back of the chair, as if sitting firmly on the Diaoyutai.
What Professor Liu said is indeed true, and Professor Lu cannot refute it.
His face changed for a while, gritted his teeth tightly, "Okay. I'll bet with you."
Professor Liu: "Speaking counts?"
Professor Lu: "Speaking counts!"
Professor Liu: "Hey, old Lu, I am afraid you will lose again this time. There are many good seedlings among my students in this class."
Professor Lu: "These students of mine may not be worse than yours."
While talking, Professor Lu clenched his fists, his palms were full of cold sweat.
Professor Liu smiled leisurely, "Then let's wait and see who comes out first."
They did not talk about what to do if the student who walked out of the examination room first was neither Peking University nor Tsinghua University.
Because they don't think this situation is possible.
This is the confidence of the two top universities in China.
…………
In the examination room, the time came to the twenty-third minute.
Of the ten questions in front of Cheng Nuo, only the last one remained.
According to normal logic, this should be the most difficult question in the entire test paper.
[Suppose α∈(1, 2), the series of (1-x)^α is ∑akx^k, nxn real constant matrix a is the nilpotent matrix, i is the identity matrix, and the matrix value function g(x) is defined For..., the necessary and sufficient condition for the existence of 1≤i, j≤n and integral ∫g(ij)(x)dx is a^3=0.]
This is the stem of the final question, a proof question. However, Cheng Nuo didn't have any worries for such a difficult topic.
Even if you give this topic to yourself before the winter vacation, Cheng Nuo is 100% sure that you can easily solve it in 15 minutes.
As for now... five minutes is enough.
Cheng Nuo didn’t use the draft paper, so he wrote and calculated directly on the answer sheet: [a is a nilpotent matrix, so a^n=0, remember f(x)=(1-x)^α, when j>k, Remember..., therefore, the necessary and sufficient condition for the existence of integral ∫g(ij)(x)dx is a^3=0.]
Cheng Nuo raised his wrist to check the time, no more, no less, exactly five minutes.
Originally, Cheng Nuo planned to hand in the paper directly like this, but after a few seconds of pondering, he picked up the carbon pen and wrote in the blank space of the last big question:
[Solution 2: express g(x) directly with Jordan standard form, so you can get...]
...
Outside the examination room, both Professor Liu and Professor Lu were looking forward to it.
Thirty minutes have passed for the current exam. Based on their experience in previous years, after almost ten minutes, candidates began to hand in their papers and leave.
"Old Lu, don't be so nervous, anyway, the result is doomed, just enjoy the process." Professor Liu saw Professor Lu's white fingers holding the armrest tightly, and laughed and teased.
Professor Lu glanced at Professor Liu who was sitting beside him for nothing, "Don't be too proud, who wins and who loses, the result is unknown."
Professor Liu smiled faintly, "But I don't think so, actually..."
Halfway through the conversation, Professor Liu stopped abruptly.
Because, as far as he could see, he had seen a figure slowly walking out of the examination room.
So fast! It's only more than 30 minutes, and it's done.
Could it be that those guys suddenly performed extraordinary today?
Professor Liu's thoughts were flying in his mind, and he fixed his eyes on the figure, wanting to see which of the few little guys that the student was optimistic about ~EbookFREE.me~Xu Jie? Cheng Fei? Or Zhang Heng?
However... when his gaze fell on that figure's face.
At first glance, I don't know!
At second glance, I still don't know!
Professor Liu began to panic. Could it be...
He glanced at Professor Lu next to him and found that Professor Lu did not show any expression of joy. When Gu Jing sat there without wave, he was slightly relieved.
It seems that this is not a student of Tsinghua University.
It's overturned, it's overturned, I didn't expect a student from another school to take the lead this year. However, it is not from Tsinghua University next door. It is the best news for Professor Liu.
However, just as Professor Liu was secretly rejoicing in his heart, I saw the student who walked out of the examination room first and walked straight to Professor Lu.
The flustered look of Professor Lu had long since disappeared. He nodded gently, "Cheng Nuo, how difficult is the test this year?"
Cheng Nuo shrugged, "It's okay, so-so. The difficulty of the questions in normal training is similar."
"Not bad." Professor Lu patted Cheng Nuo on the shoulder, pointed to Professor Liu, and said, "This is Professor Liu Changfeng from Peking University School of Mathematical Sciences, an expert in the field of number theory."
"Just now, Professor Liu and I had a very happy conversation and have voluntarily handed over a subject to our Tsinghua University of Mathematics. This is Professor Liu's generous acceptance of our Tsinghua University of Mathematics.
Cheng Nuowang said to Professor Liu, "Thank you Professor Liu."
Professor Liu: mmp
…………
ps1: I wish you all a happy Dragon Boat Festival! !
ps2: One word of advice, everyone who bets on football should stop betting. This World Cup is poisonous! Except for the fact that the Chinese team didn't go to the World Cup, everything else was normal.
Please remember the domain name of this book's first publication:. Bookstore mobile version reading URL: