149 Graduation Defense (4/4)

Chapter 149 Graduation Defense (44)

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

There are four judges in total.

In addition to Dean Qin of the Number Academy, there was Professor Tang.

In fact, according to the general regulations, there is an instructor avoidance system, but Lu Zhou's situation is quite special, and the defense process is very different from that of ordinary undergraduate graduates. No one cares about such trivial matters.

In addition to the two that Lu Zhou knew, the other two were Academician Lu Shenjian from the Jinda Institute of Physics and Technology, and the other was Academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, this Professor Xiang is also an associate director of the Huaguo Mathematical Society.

The background of these two big men can be said to be not small, and he knew about them before.

Standing on the podium, Lu Zhou looked as usual.

He had been preparing for this moment for a long time, so naturally there was no stage fright.

The PPT starts to show.

After introducing himself according to the process, Lu Zhou began to describe his thesis, and briefly reported the main points and conclusions of the thesis.

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

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

Professor Xiang Huanan had sharp eyes and asked straightforwardly.

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

If it was the graduation defense of ordinary undergraduates, the defense judges would definitely not ask such tricky questions, but the people standing on the podium were not ordinary undergraduates, and the people sitting under the podium were not ordinary defense judges either.

Naturally, the questions asked would not be ordinary.

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

"It is used to prove that the sequence {xn} generated by 'Equation 8' strongly converges to a certain fixed point on T, and this point is the only solution of the variational inequality V. If you explain it in detail, the mathematical problem is not clear in a few words, Can I use the blackboard?"

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

Normally no, but that's only the general case.

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 image...]

Xiang Huanan narrowed his eyes, nodded approvingly and said, "Not bad."

Even with the requirements of doctoral students, the qualifications of the respondent are quite high.

At least, this answer made him very satisfied.

Standing by the side, Professor Lu Shenjian said slowly: "I also want to ask a few questions."

Lu Zhou said respectfully: "Teacher, please."

Prof. Lu Shenjian: "I noticed that you mentioned in your paper that applying your viscous iterative algorithm can also be used to study the pre-solutions of extremely large monotone operators in Banach spaces, and this may become a research topic. A tool of quantum mechanics. This is similar to the algorithm mentioned by Professor Kohsaka of Japan when he introduced the non-stretch image in 2008, but you didn’t make further extensions on this basis, why?”

This question stunned Lu Zhou for two seconds.

Why?

Because the focus of this paper is not this!

Lu Zhou coughed lightly, and said, "Because if you go further down, you can write another paper. This paper only discusses mathematical problems. Although it mentions the application of quantum mechanics, it does not involve specific content."

There are endless academic problems, and if everything is extended a little bit, this paper will be completely different. Including the possible application of his viscous iterative algorithm in quantum mechanics, he only mentioned a few sentences.

Professor Lu Shenjian shook his head and preached in a earnest tone: "This is not the mentality that a scholar should have. You should strive to be perfect in learning. Now that you have discovered this possibility, why don't you continue to dig deeper along this line of thought? go down?"

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

Professor Lu Shenjian raised his eyebrows: "I didn't say that. I mean, if he is interested, he can learn from me. The movement of microscopic particles needs to be regulated by Hilbert space, and vice versa , the observation of microscopic particles will definitely inspire him in his research in the field of mathematics!"

"I don't agree." Professor Xiang shook his head and said slowly, "I have also done research on quantum group theory and the Young-Baxter equation, and I still have a certain right to speak. Although mathematics can be a tool for physics research , but mathematics itself is self-contained. Using tools and polishing tools are still two things after all.”

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

Dean Qin, who had been silent all this time, coughed and interrupted him: "You have so many talents in the Chinese Academy of Sciences, so don't compete with us, are you sorry?"

Professor Xiang Huanan didn't blush, and smiled and said, "What's the matter of robbing talents, I just made such a casual suggestion."

Professor Tang chuckled and did not expose him: "There is still a little time, let's continue to defend."

In fact, there is nothing to ask.

If you can write a graduation thesis of this level, why not graduate?

The so-called defense is nothing more than to test the authenticity of the thesis and to test whether the student's level is passed. And this purpose, in fact, has been achieved before the defense begins.

"Why are you asking? You're just engaging in formalism!" Mr. Xiang was more straightforward, filling in the scores on the form, and stood up with a smile.

Looking at Lu Zhou, he nodded with satisfaction, "I am amazed by your accomplishments in the field of functional analysis. I rarely see undergraduates who can 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, and you will be notified of the result soon."

After the defense is over, the students will leave the field according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 to the defense, thesis, and on-site performance, and then calculate the average score to give five grades: excellent, good, medium, pass, and fail. Evaluation.

Passing is definitely no problem.

If you can't pass this way, no one in this school will be able to graduate.

Out of curiosity, Lu Zhou really wanted to take a look at the final evaluation score given by Mr. Xiang, but the piece of paper was a little far away, so 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 man: "Old Tang, I haven't taken any students these years. This man is getting old and is about to retire. He wants to find someone to inherit the mantle. How about... convenient?"

Professor Tang chuckled and looked at this old friend: "It's no use asking me. I will support this kid wherever he goes. You might as well ask Lao Qin next to me."

Old 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 just asked this casually, if Jin Da is willing to let go, that would be a coincidence. Not to mention that it is useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

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

That old guy Wang Xiping bragged to him, saying that Jin University had a young Tao Zhexuan, and if there were no accidents in twenty years, Huaguo would definitely give out a Fields Award.

He didn't quite believe it just after hearing this sentence. After all, Old Man Wang didn't brag once or twice. 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.

"When young scholars prosper, academics are fortunate; when academics prosper, the country prospers...well."

In fact, so what if he doesn't study under him?

At his age, a lot of things are already very light.

And those things that are not bearish...

He believed that he would also have the opportunity to see it.

Double monthly ticket, I try to double update~~~Ask for a monthly ticket~~~