After a long period of preparation, the day of the defense finally arrived.

There are a total of four defense judges.

In addition to Dean Qin of the School of Mathematics, it is Professor Tang.

In fact, according to the general regulations, there is a system of instructor recusal, but Lu Zhou's situation is relatively special, and the process of defense is also very different from that of ordinary undergraduate graduates. In this kind of trivial matter, no one cares.

In addition to the two people Lu Zhou knew, the other two people, one is Academician Lu Shenjian from the Golden University Institute, and the other is Academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also an associate director of the Chinese Mathematical Society.

These two bigwigs have a lot of backgrounds, and he has known about them before.

Standing on the podium, Lu Zhou looked as usual.

For this moment, he has been preparing for a long time, and naturally there is no stage fright.

The PPT began to be screened.

After Lu Zhou introduced himself according to the process, he began to describe the paper, and briefly reported the main ideas and conclusions of the paper.

The process is very short, only five or six minutes before and after.

And the next question session is the most important part of the defense!

Professor Xiang Huanan's eyes were sharp, and he asked directly.

"On the fifth page of the paper, line 11, I noticed that you mentioned in the paper that let C be a non-empty convex subset in Hilbert space, and introduce a Halpern-type viscous iterative algorithm for a class of quasi-non-dilated images T:C→C, what is the significance of it, can you explain it in detail?"

If it is an ordinary undergraduate student's graduation defense, the defense judges will definitely not ask such tricky questions, but the person standing on the podium is not an ordinary undergraduate, and the person sitting under the podium is not an ordinary defense judge.

Naturally, it won't be an ordinary question.

There is no need to touch the paper at all, Lu Zhou naturally writes what he writes at the beginning of the fifth page.

"It is used to prove that the sequence {xn} produced by 'Eq. 8' strongly converges to a fixed point on T, and this point is the only solution to the variational inequality V. If I explain in detail, I can't explain the math problem in a few words, can I use the blackboard? ”

Professor Xiang Huanan smiled and said, "Of course. ”

Normally, no, but that's just a general situation.

Picking up the chalk, Lu Zhou wrote on the blackboard.

【x1∈C，x（n+1）=αn·f·xn+βn·xn+γn· T·xn，n≥1。 where f:C→C is a compressed image, where T:C→C is a non-stretched impression ......]

Xiang Huanan narrowed his eyes and nodded approvingly: "Not bad." ”

Even if it is required by the standards of a doctoral student, the qualifications of this respondent are quite high.

At least, this answer made him very satisfied.

Standing next to him, Professor Lu Shenjian slowly spoke: "I also ask a few questions. ”

Lu Zhou said respectfully: "Teacher, excuse me." ”

Professor Lu Shenjian: "I noticed that you mentioned in your paper that your viscous iterative algorithm can also be used to study the presolutions of extremely monotonic operators in Banach space, which may become a tool for studying quantum mechanics. This is similar to the algorithm that Professor Kohsaka mentioned in '08 when he introduced non-stretched images, but you didn't extend it further, why? ”

This question made Lu Zhou stunned for two seconds.

Why is this?

Because that's not the point of this paper!

Lu Zhou coughed lightly and said: "Because you can write another paper if you derive it further, this paper only discusses mathematical problems, although it mentions the application in quantum mechanics, but it does not involve specific content." ”

The academic questions are endless, and everything can be extended a little, and this paper is written as a four-way dislike. Including the possible application of his sticky iterative algorithm in quantum mechanics, he only mentioned a few sentences.

Professor Lu Shenjian shook his head and preached in a serious tone: "This is not the mentality that a scholar should have, and you should strive to be perfect in your studies. ”

Professor Xiang Huanan suddenly smiled and spoke: "Old Lu, don't embarrass our classmate Lu, people who are good at mathematics are not necessarily good at physics, I think our classmate Lu is still more suitable for research in the field of mathematics." ”

Professor Lu Shenjian raised his eyebrows: "I didn't say that. I mean, if he's interested, he can study with me. The motion of microscopic particles needs to be regulated by Hilbert space, and vice versa, the observation of microscopic particles will definitely have a great inspiration for his research in the field of mathematics! ”

"I don't dare to agree," Professor Xiang shook his head and said slowly, "I myself have also engaged in the study of quantum group theory and the Young-Baxter equation, and I still have a certain right to speak." Although mathematics can be a tool for the study of physics, mathematics itself is self-contained. Using tools and grinding tools are two different things. ”

Speaking of this, Professor Xiang smiled, looked at Lu Zhou, and suddenly changed his words and said, "As Professor Lu said, you have found a novel clue, why don't you dig deeper along this clue?" The Institute of Mathematics of the Chinese Academy of Sciences happens to have a similar research project, if you are interested......"

Dean Qin, who had not spoken, coughed and interrupted him: "You have so many talents in the Chinese Academy of Sciences, don't rob us, are you embarrassed?" ”

Professor Xiang Huanan didn't blush, smiled and said, "What is the talent grabbing, I just casually suggest it." ”

Professor Tang smiled and didn't expose him: "There is still a little time, let's continue to defend." ”

Actually, there's not much to ask.

If you can write a graduation thesis of this level, what is the reason why you can't finish your course?

The so-called defense is just to test the authenticity of the thesis and whether the student's level is passed. And this purpose was actually achieved before the defense began.

"What else do you ask? Clean these formalisms! Mr. Xiang was more direct, filled in the score on the form casually, and stood up with a smile.

Looking at Lu Zhou, he nodded with satisfaction, "I am amazed by your attainments in the field of functional analysis, I have rarely seen an undergraduate student make such a wonderful defense." ”

Lu Zhou said sincerely: "Thank you, teacher. ”

"No thanks, the defense is over," Xiang Huanan waved his hand, "You go out first." ”

Lu Zhou looked at Professor Tang.

Professor Tang nodded: "You go out first, the result will be notified to you soon." ”

After the end of the defense, the students will leave the venue according to the process, and after the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance, and then calculate the average score, and give five evaluations: excellent, good, medium, pass, and fail.

It's definitely okay to pass.

If you can't get through this, I'm afraid no one will be able to graduate from this school.

Out of curiosity, Lu Zhou wanted to take a look at what the final evaluation of Mr. Xiang was, but the paper was a little far away and he couldn't see it clearly.

After Lu Zhou left the classroom, the classroom was quiet for a while.

Looking at Professor Tang, he smiled at the old gentleman: "Old Tang, I haven't taken a student over the years, this person is old and about to retire, and I want to find someone to inherit the mantle." Or...... Convenient? ”

Professor Tang smiled and looked at this old friend: "It's useless for you to ask me, I support this kid wherever he goes, you might as well ask Lao Qin next to me." ”

Lao Qin smiled, but before he could speak, Academician Lu glared at the old guy: "Don't even think about it!" ”

Xiang Huanan smacked his lips, shook his head and sighed, "Stingy." ”

In fact, he asked casually, if Jin Da is willing to let go, it will be a coincidence. Don't say that it's useless for him to come, even if the director of the Institute of Mathematics comes, most of them are the same.

But today's trip can be regarded as satisfying his curiosity.

Wang Xiping's old guy bragged to him, saying that Jin Da had a little Tao Zhexuan, and if there was no accident in 20 years, Huaguo would have a Fields Medal.

Just heard this, he didn't believe it, after all, Old Man Wang didn't brag once or twice, and Yan University alone had two "Little Tao Zhexuan".

But when he saw it today, he believed it.

Thinking of this, Mr. Xiang couldn't help but sigh in his heart.

"If young scholars prosper, they will be fortunate in academics, and if they prosper academically, they will prosper...... All right. ”

In fact, what if you don't go to graduate school under him?

At his age, many things have been seen very lightly.

And those things that are not understated......

He believed that he would have a chance to see it too.