After a long period of preparation, it was finally the day of the defense.
There were a total of four defense judges.
Other than Dean Qin from the mathematics department, there was also Professor Tang.
Actually, according to the general rules, there was a system for instructors to avoid the defense. However, Lu Zhou's situation was special. The defense process was very different from ordinary undergraduate students. Therefore, no one cared about this kind of small thing.
Other than the two that Lu Zhou knew, there were two other people. One was Academician Lu Shenjian from the physics department of Jin Ling University, and the other was Academician Xiang Huanan from the Chinese Academy of Sciences. Also, Professor Xiang was the deputy director of the China Mathematics Society.
These two big names were not small names. Lu Zhou already knew about them.
Lu Zhou stood on the podium and looked calm.
He had been preparing for this moment for a long time, so he did not have any stage fright.
The PowerPoint presentation began.
Lu Zhou followed the procedure. After he introduced himself, he began to write about his thesis and briefly reported the main points and conclusions of the thesis.
This process was very short; it only took five or six minutes.
The following Q&A session was the most important part of the defense!
Professor Xiang Huanan's eyes were sharp as he asked straightforwardly.
"On the fifth line of the thesis, I noticed that you mentioned in your thesis that C is a non-empty closed convex subset in the Hilbert space. For a class of quasi-non-expansive mappings T: C → C, a Halpern-type viscous iterative algorithm is introduced. What does it mean? Can you explain it in detail?"
If this was an ordinary undergraduate student's defense, the defense judges would definitely not ask such a tricky question. However, the person standing on the podium was not an ordinary undergraduate student, and the person sitting on the podium was not an ordinary defense judge either.
Naturally, the questions he asked were no ordinary ones.
Lu Zhou did not even need to touch the thesis. He knew what he wrote on the fifth page.
"It is used to prove that the sequence {xn} generated by the 'eight-form' strongly converges to a fixed point on T, and this point is the only solution of the variational inequality V. If you want to explain in detail, I can't explain it in a few words. Can I use the blackboard? "
Professor Xiang Huanan smiled and said, "Of course."
Under normal circumstances, it was not possible, but that was only under normal circumstances.
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 the compressed image, and T: C → C is the non-extended image …]
Xiang Huanan narrowed his eyes and nodded approvingly. "Not bad."
Even by the standards of a PhD student, this respondent's qualifications were quite high.
At the very least, he was satisfied with this answer.
Professor Lu Shenjian slowly said, "I also have a few questions."
Lu Zhou respectfully said, "Teacher, please ask away."
Professor Lu Shenjian: "I noticed that you mentioned in your paper that your viscous iterative algorithm can also be used to study solutions for maximal monotone operators in Banach spaces. This could be a tool for studying quantum mechanics. This is similar to the algorithm mentioned by Professor Kohsaka in Japan when he introduced the non-stretching image in 2008, but you didn't extend it further. Why? "
This question made Lu Zhou pause for two seconds.
Why is there a reason?
Because this is not the main point of this paper!
Lu Zhou coughed and said, "Because if I were to derive it further, I could write another paper. This paper only discusses mathematical problems. Although it mentions the application of quantum mechanics, it doesn't touch on the specific content."
Academic problems were endless. Everything had to be extended to a point, and this thesis would be neither here nor there. 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 said solemnly, "This is not the mentality that a scholar should have. One should strive for perfection when doing knowledge. Now that you have discovered such a possibility, why don't you continue to dig deeper along this path?"
Professor Xiang Huanan suddenly smiled and said, "Old Lu, don't make it difficult for Student Lu. People who are good at mathematics are not necessarily good at physics. I think Student Lu is more suitable to do research in the field of mathematics."
Professor Lu Shenjian raised his eyebrows and said, "I didn't say that. What I mean is, if he is interested, he can study here. The movement of microscopic particles needs to be regulated by the Hilbert space, and vice versa. The observation of microscopic particles will definitely have a greater inspiration for his research in the field of mathematics! "
"I don't agree." Professor Xiang shook his head and said slowly, "I've done research on quantum group theory and the Yang-Baxter equation, so I have some say in this. Although mathematics can be a tool for physics research, mathematics itself is self-contained. Using tools and polishing tools are two different things. "
Professor Xiang smiled and looked at Lu Zhou. He suddenly changed the topic and said, "Like Professor Lu said, you've found a novel clue. Why don't you follow this clue? The Institute of Mathematics at the Chinese Academy of Sciences has a similar research project, if you're interested … "
Dean Qin coughed and interrupted him, "There are so many talents in the Chinese Academy of Sciences, don't fight with us. Don't you feel embarrassed?"
Professor Xiang Huanan smiled and said, "What do you mean fight with talented people? I was just making a casual suggestion."
Professor Tang smiled and said, "There's still a bit of time left, let's continue with the thesis defense."
Actually, there was nothing else to ask.
If Lu Zhou was able to write a graduation thesis of this level, why couldn't he graduate?
The so-called thesis defense was just to test the authenticity of the thesis and to test the level of the student. This goal was actually achieved before the thesis defense even began.
"What else is there to ask? All this formalism! " Professor Xiang was more direct. He wrote down the score on the form and stood up with a smile.
He looked at Lu Zhou and nodded with satisfaction. He said, "Your achievements in the field of functional analysis surprised me. I rarely see an undergraduate student do such a wonderful thesis defense."
Lu Zhou said sincerely, "Thank you, teacher."
"You're welcome, the thesis defense is over," said Xiang Huanan as he waved his hand. He then said, "You can leave now."
Lu Zhou looked at Professor Tang.
Professor Tang nodded and said, "You can leave now, I'll let you know the results soon."
After the defense, according to the procedure, the defending students left the stage. After the judges exchanged their opinions, they gave a total score of 100 for the defense, thesis, and live performance. Then, they calculated the average score and gave five grades of excellent, good, medium, pass, and fail.
Passing was definitely not a problem.
If Lu Zhou couldn't even pass, then no one would graduate from this school.
Out of curiosity, Lu Zhou wanted to see what Professor Xiang's final evaluation was. However, the piece of paper was a bit far away and he couldn't see it at all.
After Lu Zhou left the classroom, the classroom was quiet for a while.
Professor Xiang looked at Professor Tang and smiled as he said, "Old Tang, I haven't taught any students in years. I'm getting old and I'm about to retire. I want to find someone to inherit my legacy. How about … I do it for you? "
Professor Tang smiled and looked at his old friend as he said, "There's no point asking me. I'll support this kid wherever he goes. Why don't you ask Old Qin?"
Old Qin smiled but before he could speak, Professor Lu stared at the old man and said, "Don't even think about it!"
Xiang Huanan smacked his lips and shook his head as he sighed, "Stingy."
In fact, he was just casually asking. It would be a coincidence if Jin Ling University was willing to agree. Even if the director of the Mathematics Research Institute came, the result would be the same.
However, today's trip had satisfied his curiosity.
Wang Yuping bragged to him that Jin Ling University had a Tao Zhexuan and that within 20 years, China would have a Fields Award.
When he first heard this, he did not believe it. After all, Wang Yuping had bragged more than once or twice. Yan University had two "Tao Zhexuan".
But after seeing it today, he believed it.
Professor Xiang thought about this and could not help but feel emotional.
"When young scholars prosper, academia prospers. When academia prospers, the country prospers … Good."
Actually, so what if Lu Zhou did not study under him?
At his age, a lot of things were already very indifferent to him.
As for the things that he did not …
You've already exceeded your reading limit for today. If you want to read more, please log in.
Login
Select text and click 'Report' to let us know about any bad translation.
