Omnipotent Data

Chapter 299

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

"What are you betting on?" Last year's loss was like a thorn, and Professor Lu of Kaka felt very uncomfortable, so Professor Lu did not immediately reject Professor Liu's proposal.

Professor Liu said, "This time we won't compare with any other company that won the first prize. The simple comparison is..."

He pointed to the teaching building used for the exam, and said with a smile, "How about we see which one is the student who walked out of the exam room first?"

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

"So, what's the bet? You don't want me to teach your students again?" Professor Lu asked.

"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 pure mathematics research project. You Tsinghua University and our School of Mathematics at Peking University are fighting for the right to research this topic. I know that Tsinghua School of Mathematics has always been in charge of the application for this topic. .”

"And the bet is who loses, who voluntarily gives up the subject, how about the competition?"

Professor Lu's eyes gradually became sharper, 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 is fishing, and those who wish will take the bait. Of course, you can also 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 group of people from the National Natural Science Foundation of China will of course choose the stronger Peking University School of Mathematics instead of you."

Professor Liu put his hands on the armrests of the chair and leaned on the back of the chair, as if he was sitting firmly on the Diaoyutai.

What Professor Liu said was indeed true, and Professor Lu could not 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 mean?"

Professor Lu: "What you say is what you say!"

Professor Liu: "Hey, old Lu, I'm afraid you will lose again this time. There are quite a few good seedlings in my current class of students."

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

While speaking, Professor Lu clenched his fists tightly, and his palms were covered with cold sweat.

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

They didn't talk about what to do if the student who walked out of the examination room first was neither from Peking University nor Tsinghua University.

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

This is the confidence of the two top universities in China.

…………

In the examination room, the time reached the twenty-third minute.

Of the ten questions in front of Cheng Nuo, only the last one was left.

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

[Assume α∈(1,2), the series of (1-x)^α is ∑akx^k, the nxn real constant matrix a is a nilpotent matrix, i is an identity matrix, and the matrix-valued function g(x) is defined For..., prove that for 1≤i, j≤n, the necessary and sufficient condition for the existence of the integral ∫g(ij)(x)dx is a^3=0.]

This is the stem of the finale question, a proof question. However, Cheng Nuo didn't have anything to worry about if it was just such a difficult topic.

Even if he gave this problem 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, so he wrote and calculated on the answer sheet: [a is a nilpotent matrix, so a^n=0, write f(x)=(1-x)^α, when j\u003ek, Remember..., therefore, the necessary and sufficient condition for the existence of the integral ∫g(ij)(x)dx is a^3=0.]

Cheng Nuo raised his wrist to check the time, it was exactly five minutes.

Originally, Cheng Nuo planned to hand in the test paper and leave like this.

But after pondering for a few seconds, he picked up the carbon pen and wrote in the blank space of the last big question:

[Solution 2: Use jordan standard form to express g(x) directly, so we can get...]

...

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

Thirty minutes have passed since the exam time. Based on their experience in previous years, after about ten minutes, candidates began to hand in their papers and leave.

"Old Lu, don't be so nervous, anyway, the result is doomed, you just enjoy the process." Professor Liu laughed and joked when he saw Professor Lu's slightly whitish fingers holding on to the handrail.

Professor Lu rolled his eyes at Professor Liu who was sitting beside him, "Don't be too complacent, whoever loses and who wins, the result is unknown."

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

In the middle of speaking, Professor Liu stopped suddenly.

Because, within his line of sight, he saw a figure slowly walking out of the examination room.

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

Could it be that those boys suddenly performed supernormally today?

While thoughts were racing through Professor Liu's mind, he fixed his eyes on that figure, wanting to see which one of the few little guys he was optimistic about.

Xu Jie? Cheng Fei? Or Zhang Heng?

However... when his eyes fell on the face of that figure.

At first glance, I don't know!

Second glance, 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 didn't show any joyful expression. When Gu Jing sat there without a wave, he was slightly relieved.

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

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

However, just when Professor Liu was secretly rejoicing, he saw that the student who walked out of the examination room first went straight to Professor Lu.

Professor Lu's earlier flustered look had long since disappeared, and he nodded slightly, "Cheng Nuo, how difficult is this year's test questions?"

Cheng Nuo shrugged, "It's okay, so-so. It's similar to the difficulty of the usual training questions."

"That's right." Professor Lu patted Cheng Nuo on the shoulder, pointed at Professor Liu, and said, "This is Professor Liu Changfeng from Peking University School of Mathematics, an expert in the field of number theory."

"Just now, Professor Liu and I had a good conversation, and we have voluntarily handed over a project to our Tsinghua Mathematical Academy. This is Professor Liu's generous acceptance of our Tsinghua Mathematical Academy."

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

Professor Liu: mmp

…………

ps1: Happy Dragon Boat Festival everyone! !

ps2: A piece of advice, everyone who gambles should stop gambling, this World Cup is poisonous! Except for the fact that the Chinese team did not go to the World Cup, which is normal, everything else is normal.

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