Chapter 299
"Lao Lu, why don't we gamble again this year Professor Liu looked at Professor Lu with a smile and suggested.
"Bet on what?" Last year's defeat was like a thorn in his heart. Professor cartilu was very upset. Therefore, Professor Lu did not immediately refuse Professor Liu's proposal.
Professor Liu said, "this time, we won't be more than the number of people who won the first prize. Our comparison is simpler than..."
He pointed to the teaching building used for the examination and said with a smile, "let's see which student came out of the examination room first?"
"This..." Professor Lu hesitated for two or three seconds, then nodded softly, "OK, that's better."
"Well, what's the bet? You don't want me to teach your group of students again?" Asked Professor Lu.
"No, no, No Professor Liu shook his finger. "Let's bet on something else."
"A few days ago, the national natural foundation of China just announced a pure mathematics research project. Your Tsinghua University and our university's Mathematics Institute are seizing the research right of this subject. I know that you have always been responsible for the application of Tsinghua Institute of mathematics on this subject. "
"And the bet is who loses and who gives up the subject to fight for?"
Professor Lu's eyes gradually became sharp, realizing that he seemed to be trapped by Professor Liu, "you were waiting for me here."
Professor Liu shrugged, "Jiang Taigong is fishing, and those who wish to take the bait are just. Of course, you can choose not to gamble with me
"However, my family knows their own business. You also know that if there is no accident, the NSF group will certainly choose the stronger Peking University Institute of mathematics instead of you."
Professor Liu put his hands on the armrest of the chair and leaned against the back of the chair, looking like he was sitting steadily on the Diaoyutai.
What Professor Liu said is true, and Professor Lu can't refute it.
His face changed for a while and he clenched his teeth. I'll bet you. "
Professor Liu: "what you say is what you say?"
Professor Lu: "what you say is what you say."
Professor Liu: "Hey, Lao Lu, I'm afraid you will lose again this time. There are many good students in my class. "
Professor Lu: "these students of mine may not be inferior to yours."
As he spoke, Professor Lu clenched his fist tightly and his palms were covered with cold sweat.
Professor Liu said with a leisurely smile, "let's wait and see who comes out first."
They didn't talk about what to do if the first student out of the examination room was neither from Peking University nor Tsinghua University.
Because they don't think it's possible.
This is the confidence of the two top universities in China.
…………
In the examination room, the time came to the 23rd minute.
Of the ten questions in front of Cheng Nuo, only the last one is left.
According to normal logic, this should be the most difficult question in the whole paper.
Let the Maclaurin series of α∈ (1,2), (1-x) ^ α be ∑ akx ^ k, NxN real constant matrix a be nilpotent matrix, I be identity matrix, let matrix valued function g (x) be defined as The necessary and sufficient condition for the existence of integral ∫ g (ij) (x) DX for 1 ≤ I, J ≤ n is a ^ 3 = 0.]
this is the stem of the last question and a proof problem. However, if it is only such a difficult topic, Cheng Nuo has nothing to worry about.
Even if the problem to the winter vacation before their own to do, Cheng Nuo also have 100% confidence, can easily solve in 15 minutes.
As for now Five minutes is enough.
Cheng Nuo wrote on the answer sheet without using the draft paper: "a is a nilpotent matrix, so there is a ^ n = 0, remember that f (x) = (1-x) ^ α, when J > k, record Therefore, the necessary and sufficient condition for the existence of integral ∫ g (ij) (x) DX is a ^ 3 = 0.]
Cheng Nuo raised his wrist and looked at the time, which was no more than five minutes.
Cheng Nuo originally planned to hand in the paper 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 II: directly express g (x) with Jordan Standard form, so we can get 】
……
Outside the examination room, Professor Liu and Professor Lu are both looking forward to it.
At present, the examination time has passed 30 minutes. Based on their experience in previous years, more than 10 minutes later, some candidates began to hand in their papers and leave.
"Lao Lu, don't be so nervous. Anyway, the result is doomed. Just enjoy the process." Professor Liu laughs at Professor Lu's slightly white fingers, holding the armrest tightly.
Professor Lu white sitting on the side of Professor Liu one eye, "don't be too proud, who loses who wins, the result is unknown."
Professor Liu said with a faint smile, "but I don't think so. In fact..."Half way through, Professor Liu stopped abruptly.
Because, in his line of sight, has seen a figure from the examination room slowly out.
So fast! It's just over 30 minutes, and it's done.
Are those boys suddenly acting extraordinary today?
Professor Liu's thoughts were flying in his mind, and he fixed his eyes on the figure. He wanted to see which one of the students was his favorite.
Xu Jie? Chengfei? Or Zhang Heng?
However When his eyes fell on the face of the figure.
At first sight, I don't know!
Second eye, or do not know!
Professor Liu began to panic. Is
He glanced at Professor Lu beside him, and found that Professor Lu did not show any expression of joy. When he sat there, he was slightly relieved.
It seems that this is not a student of Tsinghua University.
I didn't expect to let a student from another school get the top prize this year. However, it is not Tsinghua next door, which is the best news for Professor Liu.
However, when Professor Liu was congratulating himself, he saw the first student who came out of the examination room and went straight to Professor Lu.
Professor Lu's flustered look had long since disappeared. He nodded softly, "Cheng Nuo, how difficult is the test this year?"
Cheng Nuo shrugged, "it's OK, just so. It's similar to the difficulty of training
"Not bad." Professor Lu clapped Cheng Nuo on the shoulder, pointed to Professor Liu, and said, "this is Professor Liu Changfeng of the University of mathematics, an expert in the field of number theory."
"Just now, Professor Liu and I had a good talk, and had voluntarily given a project to Tsinghua Institute of mathematics. This is Professor Liu's generous acceptance of our Tsinghua Institute of mathematics. "
Cheng Nuo looked to Professor Liu, "thank you, Professor Liu."
Professor Liu: MMP
PS1: Happy Dragon Boat Festival!!
PS2: I'd like to advise you not to gamble any more. This world cup is poisonous! Apart from the fact that China didn't go to the world cup, everything else was normal.
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