Chapter 299

"Old Lu, why don't we gamble again this year?" Professor Liu looked at Professor Lu with a smile and proposed.

"What are you betting on?" Last year's defeat was like a thorn, and Professor Lu felt very uncomfortable, so Professor Liu's proposal was not rejected by Professor Lu at the first time.

Professor Liu spoke, "This time, we are no more than any one that won the first prize, and we are simpler than ......."

He pointed to the building that was used for the exam and said with a smile, "How about we see who is the first student to come out of the exam room?"

"This ......" Professor Lu hesitated for two or three seconds, then nodded slightly, "Okay, it's better than this." ”

"So, what's the stake, you don't want me to teach your students anymore, do you?" asked Professor Lu.

"No, no, no. Professor Liu shook his finger, "Let's bet on something else." ”

"A few days ago, the National Natural Science Foundation of China just announced a research project on pure mathematics, and you, Tsinghua University, and our School of Mathematics at Peking University are competing for the research rights on this topic. I know that you have always been responsible for the application of Tsinghua Institute of Mathematics on this topic. ”

"And the bet is who loses, and who takes the initiative to give up the subject competition?"

Professor Lu's eyes gradually sharpened, and he realized that he seemed to have fallen into Professor Liu's trap, "You were waiting for me here. ”

Professor Liu shrugged, "Jiang Taigong fishes, and those who wish to take the bait." Of course, you can also choose not to bet against me. ”

"However, your own family knows their own affairs, and you also know that if there is no accident, the people of the National Natural Science Foundation will of course choose the stronger Peking University School of Mathematics, not you. ”

Professor Liu put his hands on the armrests of the chair, leaned on the back of the chair, and sat firmly on the Diaoyu Tai.

What Professor Liu said is indeed true, and Professor Lu cannot refute it.

His face changed for a while, and he gritted his teeth tightly, "Okay." I'll bet with you. ”

Professor Liu: "What do you say?"

Professor Lu: "Words count!"

Professor Liu: "Hehe, Lao Lu, I'm afraid you're going to lose again this time." There are a lot of good seedlings in my class. ”

Professor Lu: "My students may not be worse than yours. ”

As he spoke, Professor Lu clenched his fists, and his palms were covered with cold sweat.

Professor Liu smiled leisurely, "Then let's wait and see who comes out first." ”

They didn't talk about what to do if the first student to walk out of the exam room was neither Peking University nor Tsinghua University.

Because they don't think it's possible at all.

This is the self-confidence of the top two 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 big question remained.

According to normal logic, this should be the most difficult question in the whole test paper.

[Let the Maclaurin series of α∈(1,2),(1-x)^α be ∑akx^k, the n x n real constant matrix A is the power zero matrix, I is the identity matrix, and the matrix value function G(x) is defined as ...... , the sufficient and necessary 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 finale, a proof question. However, if it is just a question of such difficulty, Cheng Nuo has nothing to worry about.

Even if he gave this question to himself before the winter vacation, Cheng Nuo was 100% sure that he could easily solve it in fifteen minutes.

As for now...... Five minutes is enough.

Cheng Nuo didn't use scratch paper, and wrote and calculated directly on the answer sheet: [A is a power zero matrix, so there is A^n=0, write f(x)=(1-x)^α, and when j>k, write ...... Therefore, the sufficient and necessary condition for the existence of the integral ∫g(ij)(x)dx is A^3=0.]

Cheng Nuo raised his wrist and looked at 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 silence, he picked up the carbon pen and wrote in the blank space of the last big question:

[Solution II.: G(x) is directly expressed by Jordan standard type, so the ...... can be obtained]

......

Outside the examination room, Professor Liu and Professor Lu were both looking forward to it.

At present, 30 minutes have passed in the examination time, and based on their experience in previous years, after about 10 minutes, some candidates will start to hand in their papers and leave.

"Old Lu, don't be so nervous, anyway, the result is already doomed, just enjoy the process. Professor Liu laughed and teased when he saw Professor Lu's slightly white fingers holding the armrest.

Professor Lu glanced at Professor Liu, who was sitting beside him, "Don't be too complacent, who wins or loses, the result is unknown." ”

Professor Liu smiled faintly, "But I don't think so, in fact, ......"

In the middle of speaking, Professor Liu stopped abruptly.

Because, as far as his line of sight could see, he had seen a figure slowly walking out of the examination room.

So fast! It's only been a little over thirty minutes, and it's done.

Could it be that those boys suddenly played extraordinarily today?

While his mind was full of thoughts, Professor Liu fixed his eyes on the figure, wanting to see which of the little guys he was optimistic about this student.

Xu Jie, Cheng Fei, or Zhang Heng?

However...... When his gaze fell on the figure's face.

At first glance, I don't know!

At second glance, I still don't know!

Professor Liu began to panic in his heart. Don't......

He glanced at Professor Lu beside him, and found that Professor Lu did not show any happy expression, and when Gujing sat there without waves, he breathed a sigh of relief.

It seems that this is not a student of Tsinghua University either.

It overturned, it overturned, but I didn't expect a student from another school to come out on top this year. However, it is not from Tsinghua next door, which is already the best news for Professor Liu so far.

However, just when Professor Liu was secretly rejoicing in his heart, he saw the student who was the first to walk out of the examination room walk straight in front of Professor Lu.

Professor Lu's panicked look earlier had long since disappeared, and he nodded lightly, "Cheng Nuo, how difficult is the exam questions this year?"

Cheng Nuo shrugged, "It's okay, so-so." The difficulty of the questions is similar to that of normal training. ”

"Not bad. Professor Lu patted Cheng Nuo on the shoulder, pointed at Professor Liu, and said, "This is Professor Liu Changfeng from the School of Mathematics of Peking University, an expert in the field of number theory. ”

"Just now, Professor Liu and I had a very pleasant conversation, and we have voluntarily given a project to Tsinghua School of Mathematics. This is Professor Liu's generosity to our Tsinghua School of Mathematics. ”

Cheng Nuo looked at Professor Liu, "Thank you, Professor Liu." ”

Prof. Liu: MMP

............

PS1: Happy Dragon Boat Festival to everyone!!

PS2: A word of advice, everyone who gambles on football should stop betting, this World Cup is toxic! Except for the fact that the Chinese team did not go to the World Cup, it is normal, everything else is normal.