Scholar’s Advanced Technological System

Chapter 148: Graduation defense

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

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

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

In fact, there is nothing left to ask.

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

Professor Xiang Huanan asked with sharp eyes and straight to the point.

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

Why is this

"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 to the variational inequality V. If you explain it in detail, the mathematical problem cannot be explained in a few words. Can I use the blackboard?"

There are four defense judges in total.

These two big guys have quite a lot of backgrounds, and he has known them before.

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

In addition to Dean Qin of several colleges, there is Professor Tang.

It's definitely no problem to pass.

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

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

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

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

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

In fact, according to general regulations, there is a system for avoiding instructors, but Lu Zhou's situation is quite special, and the defense process is also very different from that of ordinary undergraduate graduates. No one cares about such small things.

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

"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 to the variational inequality V. If you explain it in detail, the mathematical problem cannot be explained in a few words. Can I use the blackboard?"

Lu Zhou looked at Professor Tang.

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

But when he saw it today, he believed it.

Dean Qin, who had been silent until now, coughed and interrupted: "You Chinese Academy of Sciences has so many talents, so don't compete with us. Are you sorry?"

These two big guys have quite a lot of backgrounds, and he has known them before.

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

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

Standing on the podium, Lu Zhou looked as usual.

Lu Zhou followed the procedure and after introducing himself, he began to describe his paper and briefly reported the main points and conclusions of the paper.

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

Standing on the podium, Lu Zhou looked as usual.

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

The so-called defense is just to test the authenticity of the paper and to test whether the student's level is acceptable. And this goal has actually been achieved before the defense begins.

He has been preparing for this moment for a long time, so there is no stage fright.

Because that’s not the point of this paper!

Professor Lu Shenjian: “I noticed that you mentioned in your paper that applying your viscous iteration algorithm can also be used to study the pre-solution formula of the maximum monotonic operator in Banach space, and this may become a research A tool of quantum mechanics. This is similar to the algorithm mentioned by Japanese Professor Kohsaka when he introduced non-stretch images in 2008, but you did not make further extensions on this basis. Why?"

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

PPT starts showing.

He has been preparing for this moment for a long time, so there is no stage fright.

PPT starts showing.

Lu Zhou said respectfully: "Teacher, please ask."

Lu Zhou followed the procedure and after introducing himself, he began to describe his paper and briefly reported the main points and conclusions of the paper.

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

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

Professor Xiang Huanan did not blush, smiled and said: "What about robbing talents? I just made this suggestion casually."

But when he saw it today, he believed it.

That old guy Wang Xiping was bragging to him, saying that Jinda would produce a little Tao Zhexuan, and if nothing happens within twenty years, China would definitely produce a Fields Medal.

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

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

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

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

Lu Zhou followed the procedure and after introducing himself, he began to describe his paper and briefly reported the main points and conclusions of the paper.

Why is this

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

That old guy Wang Xiping was bragging to him, saying that Jinda would produce a little Tao Zhexuan, and if nothing happens within twenty years, China would definitely produce a Fields Medal.

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

Standing on the podium, Lu Zhou looked as usual.

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

These two big guys have quite a lot of backgrounds, and he has known them before.

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

Even by the standards of a doctoral student, the respondent's qualifications are quite high.

Because that’s not the point of this paper!

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

Professor Xiang Huanan asked with sharp eyes and straight to the point.

PPT starts showing.

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

It's definitely no problem to pass.

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

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

Dean Qin, who had been silent until now, coughed and interrupted: "You Chinese Academy of Sciences has so many talents, so don't compete with us. Are you sorry?"

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

Normally it won't work, but that's just the general situation.

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

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

That old guy Wang Xiping was bragging to him, saying that Jinda would produce a little Tao Zhexuan, and if nothing happens within twenty years, China would definitely produce a Fields Medal.

Lu Zhou said respectfully: "Teacher, please ask."

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

Looking at Professor Tang, he smiled at the old gentleman: "Old Tang, I haven't had any students in these years. This man is old and about to retire. I want to find someone to inherit the mantle. How about... It's convenient. ?”

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

Naturally, the questions asked are not ordinary questions.

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

"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 to the variational inequality V. If you explain it in detail, the mathematical problem cannot be explained in a few words. Can I use the blackboard?"

And those things that are not taken lightly...

Even by the standards of a doctoral student, the respondent's qualifications are quite high.

There was no need to touch the paper at all. Lu Zhou naturally wrote what he wrote at the beginning of the fifth page.

There was no need to touch the paper at all. Lu Zhou naturally wrote what he wrote at the beginning of the fifth page.

These two big guys have quite a lot of backgrounds, and he has known them before.

In fact, according to general regulations, there is a system for avoiding instructors, but Lu Zhou's situation is quite special, and the defense process is also very different from that of ordinary undergraduate graduates. No one cares about such small things.

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

"When young scholars thrive, academics will be lucky; when academics thrive, a country will prosper... That's good."

"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 to the variational inequality V. If you explain it in detail, the mathematical problem cannot be explained in a few words. Can I use the blackboard?"

Dean Qin, who had been silent until now, coughed and interrupted: "You Chinese Academy of Sciences has so many talents, so don't compete with us. Are you sorry?"

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

[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...]

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

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

The so-called defense is just to test the authenticity of the paper and to test whether the student's level is acceptable. And this goal has actually been achieved before the defense begins.

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

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

It's definitely no problem to pass.

Normally it won't work, but that's just the general situation.

Standing on the podium, Lu Zhou looked as usual.

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

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

But when he saw it today, he believed it.

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

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

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

Because that’s not the point of this paper!

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

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

This question actually stunned Lu Zhou for two seconds.

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."

[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...]

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

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

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

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

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

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

And those things that are not taken lightly...

Because that’s not the point of this paper!

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

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

In fact, according to general regulations, there is a system for avoiding instructors, but Lu Zhou's situation is quite special, and the defense process is also very different from that of ordinary undergraduate graduates. No one cares about such small things.

Because that’s not the point of this paper!

Lu Zhou looked at Professor Tang.

Standing on the podium, Lu Zhou looked as usual.

Standing nearby, Professor Lu Shenjian slowly spoke: "I also want to ask a few questions."

Even by the standards of a doctoral student, the respondent's qualifications are quite high.

Dean Qin, who had been silent until now, coughed and interrupted: "You Chinese Academy of Sciences has so many talents, so don't compete with us. Are you sorry?"

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

Professor Tang chuckled and did not expose him: "There is still a little time, so let's continue with the defense."

Looking at Professor Tang, he smiled at the old gentleman: "Old Tang, I haven't had any students in these years. This man is old and about to retire. I want to find someone to inherit the mantle. How about... It's convenient. ?”

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

If you can write a graduation thesis of this caliber, why can't you graduate

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

At least, this answer satisfied him.

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

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

[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...]

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

Naturally, the questions asked are not ordinary questions.

Dean Qin, who had been silent until now, coughed and interrupted: "You Chinese Academy of Sciences has so many talents, so don't compete with us. Are you sorry?"

Standing nearby, Professor Lu Shenjian slowly spoke: "I also want to ask a few questions."

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

Having said this, Professor Xiang smiled, looked at Lu Zhou, and suddenly changed the subject and said, "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 happens to have a similar research project, if you are interested…”

Professor Xiang Huanan asked with sharp eyes and straight to the point.

Lu Zhou said respectfully: "Teacher, please ask."

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

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

Professor Lu Shenjian: “I noticed that you mentioned in your paper that applying your viscous iteration algorithm can also be used to study the pre-solution formula of the maximum monotonic operator in Banach space, and this may become a research A tool of quantum mechanics. This is similar to the algorithm mentioned by Japanese Professor Kohsaka when he introduced non-stretch images in 2008, but you did not make further extensions on this basis. Why?"

Professor Lu Shenjian: “I noticed that you mentioned in your paper that applying your viscous iteration algorithm can also be used to study the pre-solution formula of the maximum monotonic operator in Banach space, and this may become a research A tool of quantum mechanics. This is similar to the algorithm mentioned by Japanese Professor Kohsaka when he introduced non-stretch images in 2008, but you did not make further extensions on this basis. Why?"

Even by the standards of a doctoral student, the respondent's qualifications are quite high.

Professor Xiang Huanan did not blush, smiled and said: "What about robbing talents? I just made this suggestion casually."

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

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

This question actually stunned Lu Zhou for two seconds.

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

Professor Xiang Huanan did not blush, smiled and said: "What about robbing talents? I just made this suggestion casually."

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

Why is this

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

Lu Zhou followed the procedure and after introducing himself, he began to describe his paper and briefly reported the main points and conclusions of the paper.

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

Because that’s not the point of this paper!

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

The so-called defense is just to test the authenticity of the paper and to test whether the student's level is acceptable. And this goal has actually been achieved before the defense begins.

At his age, many things have become insignificant.

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

Lu Zhou coughed slightly and said, "Because if you go further, 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."

Professor Xiang Huanan asked with sharp eyes and straight to the point.

That old guy Wang Xiping was bragging to him, saying that Jinda would produce a little Tao Zhexuan, and if nothing happens within twenty years, China would definitely produce a Fields Medal.

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

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

If you can write a graduation thesis of this caliber, why can't you graduate

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

Why is this

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

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

[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...]

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

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

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

There was no need to touch the paper at all. Lu Zhou naturally wrote what he wrote at the beginning of the fifth page.

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

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

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

In fact, according to general regulations, there is a system for avoiding instructors, but Lu Zhou's situation is quite special, and the defense process is also very different from that of ordinary undergraduate graduates. No one cares about such small things.

"I disagree," Professor Xiang shook his head and said slowly, "I myself have done research on quantum group theory and the Yang-Baxter equation, so I still have a certain say. Although mathematics can be a tool for physical research , but mathematics itself is self-contained. Using tools and polishing tools are still two different things."

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

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

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

There was no need to touch the paper at all. Lu Zhou naturally wrote what he wrote at the beginning of the fifth page.

"I disagree," Professor Xiang shook his head and said slowly, "I myself have done research on quantum group theory and the Yang-Baxter equation, so I still have a certain say. Although mathematics can be a tool for physical research , but mathematics itself is self-contained. Using tools and polishing tools are still two different things."

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

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

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

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

Looking at Professor Tang, he smiled at the old gentleman: "Old Tang, I haven't had any students in these years. This man is old and about to retire. I want to find someone to inherit the mantle. How about... It's convenient. ?”

In addition to Dean Qin of several colleges, there is Professor Tang.

And those things that are not taken lightly...

Having said this, Professor Xiang smiled, looked at Lu Zhou, and suddenly changed the subject and said, "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 happens to have a similar research project, if you are interested…”

Because that’s not the point of this paper!

But when he saw it today, he believed it.

In fact, there is nothing left to ask.

Dean Qin, who had been silent until now, coughed and interrupted: "You Chinese Academy of Sciences has so many talents, so don't compete with us. Are you sorry?"

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

Naturally, the questions asked are not ordinary questions.

Professor Xiang Huanan did not blush, smiled and said: "What about robbing talents? I just made this suggestion casually."

"I disagree," Professor Xiang shook his head and said slowly, "I myself have done research on quantum group theory and the Yang-Baxter equation, so I still have a certain say. Although mathematics can be a tool for physical research , but mathematics itself is self-contained. Using tools and polishing tools are still two different things."

Lu Zhou coughed slightly and said, "Because if you go further, 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."

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

Professor Tang chuckled and did not expose him: "There is still a little time, so let's continue with the defense."

Lu Zhou followed the procedure and after introducing himself, he began to describe his paper and briefly reported the main points and conclusions of the paper.

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

In fact, there is nothing left to ask.

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

Lu Zhou looked at Professor Tang.

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

If you can write a graduation thesis of this caliber, why can't you graduate

At his age, many things have become insignificant.

Professor Tang chuckled and did not expose him: "There is still a little time, so let's continue with the defense."

"What else are you asking? You're just doing all this formalism!" Mr. Xiang was more direct. He filled in the scores on the form and stood up with a smile.

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

The so-called defense is just to test the authenticity of the paper and to test whether the student's level is acceptable. And this goal has actually been achieved before the defense begins.

If you can write a graduation thesis of this caliber, why can't you graduate

At least, this answer satisfied him.

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

These two big guys have quite a lot of backgrounds, and he has known them before.

But when he saw it today, he believed it.

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

"What else are you asking? You're just doing all this formalism!" Mr. Xiang was more direct. He filled in the scores on the form and stood up with a smile.

Naturally, the questions asked are not ordinary questions.

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

Naturally, the questions asked are not ordinary questions.

Looking at Lu Zhou, he nodded with satisfaction, "Your attainments in the field of functional analysis amaze me. I rarely see undergraduate students give such a wonderful defense."

Normally it won't work, but that's just the general situation.

At least, this answer satisfied him.

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

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

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

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

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

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

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

If you can write a graduation thesis of this caliber, why can't you graduate

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

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

[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...]

PPT starts showing.

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

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

Lu Zhou looked at Professor Tang.

At his age, many things have become insignificant.

In fact, according to general regulations, there is a system for avoiding instructors, but Lu Zhou's situation is quite special, and the defense process is also very different from that of ordinary undergraduate graduates. No one cares about such small things.

It's definitely no problem to pass.

Professor Tang chuckled and did not expose him: "There is still a little time, so let's continue with the defense."

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

These two big guys have quite a lot of backgrounds, and he has known them before.

Having said this, Professor Xiang smiled, looked at Lu Zhou, and suddenly changed the subject and said, "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 happens to have a similar research project, if you are interested…”

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

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

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

"I disagree," Professor Xiang shook his head and said slowly, "I myself have done research on quantum group theory and the Yang-Baxter equation, so I still have a certain say. Although mathematics can be a tool for physical research , but mathematics itself is self-contained. Using tools and polishing tools are still two different things."

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

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

At his age, many things have become insignificant.

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

Looking at Professor Tang, he smiled at the old gentleman: "Old Tang, I haven't had any students in these years. This man is old and about to retire. I want to find someone to inherit the mantle. How about... It's convenient. ?”

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

Having said this, Professor Xiang smiled, looked at Lu Zhou, and suddenly changed the subject and said, "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 happens to have a similar research project, if you are interested…”

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

It's definitely no problem to pass.

"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 to the variational inequality V. If you explain it in detail, the mathematical problem cannot be explained in a few words. Can I use the blackboard?"

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

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

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

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

"What else are you asking? You're just doing all this formalism!" Mr. Xiang was more direct. He filled in the scores on the form and stood up with a smile.

Professor Tang chuckled and did not expose him: "There is still a little time, so let's continue with the defense."

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

In fact, what if you don't study under him

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

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

Professor Tang chuckled and did not expose him: "There is still a little time, so let's continue with the defense."

PPT starts showing.

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

Lu Zhou followed the procedure and after introducing himself, he began to describe his paper and briefly reported the main points and conclusions of the paper.

Professor Xiang Huanan did not blush, smiled and said: "What about robbing talents? I just made this suggestion casually."

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

Lu Zhou looked at Professor Tang.

It's definitely no problem to pass.

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

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

Looking at Professor Tang, he smiled at the old gentleman: "Old Tang, I haven't had any students in these years. This man is old and about to retire. I want to find someone to inherit the mantle. How about... It's convenient. ?”

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

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

"I disagree," Professor Xiang shook his head and said slowly, "I myself have done research on quantum group theory and the Yang-Baxter equation, so I still have a certain say. Although mathematics can be a tool for physical research , but mathematics itself is self-contained. Using tools and polishing tools are still two different things."

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

Standing on the podium, Lu Zhou looked as usual.

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

This question actually stunned Lu Zhou for two seconds.

In fact, according to general regulations, there is a system for avoiding instructors, but Lu Zhou's situation is quite special, and the defense process is also very different from that of ordinary undergraduate graduates. No one cares about such small things.

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

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

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

Professor Xiang Huanan asked with sharp eyes and straight to the point.

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

Even by the standards of a doctoral student, the respondent's qualifications are quite high.

And those things that are not taken lightly...

"On page 11 of the fifth page of the paper, I noticed that you mentioned in the paper that assuming C is a non-empty closed convex subset in Hilbert space, for a class of quasi-non-extended images T: C→C, introduce A Halpern-type viscous iteration algorithm is proposed. What is its significance? Can you explain it in detail?"

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

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

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

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

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

Academic problems are endless, and if everything is extended a little bit, this paper will look completely different when written. Including the possible application of his viscous iteration algorithm in quantum mechanics, he only mentioned a few words.

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

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

Professor Xiang Huanan asked with sharp eyes and straight to the point.

Professor Xiang Huanan did not blush, smiled and said: "What about robbing talents? I just made this suggestion casually."

In addition to Dean Qin of several colleges, there is Professor Tang.

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

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

In addition to Dean Qin of several colleges, there is Professor Tang.

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

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

PPT starts showing.

Even by the standards of a doctoral student, the respondent's qualifications are quite high.

Because that’s not the point of this paper!

That old guy Wang Xiping was bragging to him, saying that Jinda would produce a little Tao Zhexuan, and if nothing happens within twenty years, China would definitely produce a Fields Medal.

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

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

When he first heard this, he didn't quite believe it. After all, Old Man Wang had boasted not once or twice, but Yanda alone had produced two "little Tao Zhexuan".

Professor Tang chuckled and did not expose him: "There is still a little time, so let's continue with the defense."

These two big guys have quite a lot of backgrounds, and he has known them before.

Normally it won't work, but that's just the general situation.

But when he saw it today, he believed it.

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

Professor Xiang Huanan asked with sharp eyes and straight to the point.

PPT starts showing.

It's definitely no problem to pass.

Dean Qin, who had been silent until now, coughed and interrupted: "You Chinese Academy of Sciences has so many talents, so don't compete with us. Are you sorry?"

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

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

In fact, according to general regulations, there is a system for avoiding instructors, but Lu Zhou's situation is quite special, and the defense process is also very different from that of ordinary undergraduate graduates. No one cares about such small things.

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

Looking at Lu Zhou, he nodded with satisfaction, "Your attainments in the field of functional analysis amaze me. I rarely see undergraduate students give such a wonderful defense."

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

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

"When young scholars thrive, academics will be lucky; when academics thrive, a country will prosper... That's good."

Professor Xiang Huanan did not blush, smiled and said: "What about robbing talents? I just made this suggestion casually."

In addition to the two people Lu Zhou knew, the other two were academician Lu Shenjian from the Institute of Physics and Engineering, and the other was academician Xiang Huanan from the Chinese Academy of Sciences. At the same time, Professor Xiang is also the vice director of the Chinese Mathematical Society.

If you can write a graduation thesis of this caliber, why can't you graduate

[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...]

If you can write a graduation thesis of this caliber, why can't you graduate

In fact, what if you don't study under him

Standing on the podium, Lu Zhou looked as usual.

"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 to the variational inequality V. If you explain it in detail, the mathematical problem cannot be explained in a few words. Can I use the blackboard?"

At his age, many things have become insignificant.

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

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

And those things that are not taken lightly...

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

Standing on the podium, Lu Zhou looked as usual.

Lu Zhou said respectfully: "Teacher, please ask."

The so-called defense is just to test the authenticity of the paper and to test whether the student's level is acceptable. And this goal has actually been achieved before the defense begins.

In fact, he just asked casually. It would be a coincidence if Jinda was willing to let go. Not to mention that it was useless for him to come, even if the director of the Institute of Mathematics came, it would probably be the same.

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

After the defense, the defending students will exit according to the process. After the judges and teachers exchange opinions, they will give a total score of 100 for the defense, thesis, and on-site performance. Then the average score will be calculated and given five grades: excellent, good, medium, passing, and failed. evaluate.

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

If you can write a graduation thesis of this caliber, why can't you graduate

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