Although there was a brief communication during the interview, Lu Zhou did not spend too much time with each interviewer because he was busy with the Jinling Institute of Computational Materials at the time.
Lu Zhou quickly read the paper, made two marks with a ballpoint pen, and then said, "Let me ask a few questions."
"I see."
good.
Having a preliminary understanding of the two freshmen's personalities, Lu Zhou did not assign any tasks to them for the time being. He just gave each of them a book and asked them to go back and read it first, and then hand in their notes after reading.
Strictly speaking, although the Kakutani conjecture is a classic problem in additive number theory, it is more like a complex analysis problem. Directly applying the group construction method to solve Goldbach's conjecture is not perfectly compatible.
Vera blushed and lowered her head.
Looking at the students who were deep in thought, Lu Zhou thought for a moment and then spoke.
"American Chemical Society?"
Moreover, seeing it in the camera and seeing it in reality are two completely different feelings.
Three years have passed in the blink of an eye. Wei Wen has graduated from his sophomore year and successfully received an offer from Professor Lu from Princeton. He has become a great master in the eyes of his classmates and "other people's children" in the eyes of his fellow villagers.
Vera hurriedly came closer and stared at the paper for a long time.
good.
At around six o'clock in the afternoon, the students in the office also left their seats and went downstairs to eat.
Biting her lip, Vera shook her head stubbornly, her golden hair swaying slightly.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
Not sure if it was an illusion, but looking at this new student, Lu Zhou felt a little familiar.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
Lu Zhou wasn't very hungry now because of what he had eaten on the plane and the jet lag.
Gradually, her expression became a little embarrassed, and finally she lowered her head.
Lu Zhou wasn't very hungry now because of what he had eaten on the plane and the jet lag.
With a somewhat puzzled expression on his face, Lu Zhou opened the envelope.
But, I can't remember where I saw it.
"Don't be depressed, you have done a great job." Lu Zhou encouraged, "As long as the flaws in the paper are resolved, there is no doubt that this is an excellent result."
But, I can't remember where I saw it.
Vera came closer, looked at the paper and explained: "K(x) is a bounded holomorphic function on the complex plane. According to Liouville's theorem, we can find that Q(x) in line 5 on the third page is a constant value function, then equation (7) can be proved to be true."
Looking up at Vera, Lu Zhou recalled the previous exchange in the email. He probably guessed her purpose, so he put down the pen in his hand and said pleasantly, "Are you going to reveal the answer to the mystery with me?"
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
Vera opened her mouth and wanted to say something, but Lu Zhou didn't leave any escape route for her. He patted her shoulder and gave him an encouraging look.
Even the energetic Hardy sat in his seat and studied his topic.
When he saw the signature on the envelope, he couldn't help being slightly stunned.
Skipping the middle part, Lu Zhou looked directly at the last line.
Wei Wen looked a little embarrassed and coughed slightly.
Especially when he followed his teacher to Beijing Normal University to attend the Chinese Mathematicians Conference as a student and saw Lu Zhou winning the Chen Shengshen Mathematics Award, he basically gave up and just subconsciously worked in that direction.
Since then, he has been chasing Lu Zhou as his target.
"I saw it during the interview... and also, the digital modeling competition."
Moreover, seeing it in the camera and seeing it in reality are two completely different feelings.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
At this stage, it is necessary to use literature to understand those places in the book that cannot be described in detail because they are controversial or unresolved.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
The first sentence is nonsense.
After receiving the first draft of the paper, Lu Zhou started from the abstract and turned back. After flipping through a few pages, he nodded approvingly.
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
As for the second sentence... that's really embarrassing.
"But I still miscalculated."
But, I can't remember where I saw it.
"Wednesday is my first number theory class. If you have time, I hope you will come and sit in."
Especially when he followed his teacher to Beijing Normal University to attend the Chinese Mathematicians Conference as a student and saw Lu Zhou winning the Chen Shengshen Mathematics Award, he basically gave up and just subconsciously worked in that direction.
However, to say what he feels in his heart, I am afraid only he himself knows.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
Since then, he has been chasing Lu Zhou as his target.
But I have to say that if you strive for a higher goal, even if you don't reach the same height, you can still gain a lot in the process of striving.
At that time, during the final expert interview session of the national competition, he deliberately walked over and pretended to be a coward in front of Lu Zhou, saying, "You may not be able to write a good paper, but the championship will be mine." In the end, the Higher Education Society Cup still won. He was taken back by Lu Zhou.
However, what is despairing is that the gap between the two has not narrowed at all, but has become wider and wider. Even Lu Shen's taillights can no longer be seen.
Wei Wen looked a little embarrassed and coughed slightly.
As soon as she heard that she was going to give a lecture on the stage, the little girl who was still listening attentively became a little nervous: "Do I also want to give a lecture on the stage?"
Especially when he followed his teacher to Beijing Normal University to attend the Chinese Mathematicians Conference as a student and saw Lu Zhou winning the Chen Shengshen Mathematics Award, he basically gave up and just subconsciously worked in that direction.
Among his three students, Vera is probably the only one who has truly understood and mastered his group construction method.
Since then, he has been chasing Lu Zhou as his target.
Wei Wen looked a little embarrassed and coughed slightly.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
After asking Vera, who was going downstairs, to bring him a bacon sandwich, he stopped what he was doing and began to sort out the pile of mail in the drawer.
However, to say what he feels in his heart, I am afraid only he himself knows.
At around six o'clock in the afternoon, the students in the office also left their seats and went downstairs to eat.
I haven't been back for a month, and the mail stuffed in the drawer has piled up.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
"Don't be depressed, you have done a great job." Lu Zhou encouraged, "As long as the flaws in the paper are resolved, there is no doubt that this is an excellent result."
However, what is despairing is that the gap between the two has not narrowed at all, but has become wider and wider. Even Lu Shen's taillights can no longer be seen.
[... In order to thank you for your contribution to the field of organic synthesis and the changes that modified PDMS films have made to our world's energy and environment, we have decided to award you the Roger Adams Award.]
After confirming that there was no one else in the office, she took out the first draft of the paper from the drawer and walked quietly to Lu Zhou's desk.
Gradually, only two people were left in the office.
"I see."
"There is no problem with this step." Lu Zhou nodded approvingly at Vera's logical rigor and continued, "But I noticed that in line 11 on page seven, you directly used equations (7) and (8) The conclusion proves that z0∈D exists for every branch D of Φ(g) that contains a certain positive integer, but this step is problematic.”
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
Gradually, her expression became a little embarrassed, and finally she lowered her head.
Especially when he followed his teacher to Beijing Normal University to attend the Chinese Mathematicians Conference as a student and saw Lu Zhou winning the Chen Shengshen Mathematics Award, he basically gave up and just subconsciously worked in that direction.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
Of course, this work is not that simple to complete. She only conducts a specific analysis on a specific problem, and the flaws in the process are also obvious.
After asking Vera, who was going downstairs, to bring him a bacon sandwich, he stopped what he was doing and began to sort out the pile of mail in the drawer.
But I have to say that if you strive for a higher goal, even if you don't reach the same height, you can still gain a lot in the process of striving.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
…
After asking Vera, who was going downstairs, to bring him a bacon sandwich, he stopped what he was doing and began to sort out the pile of mail in the drawer.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
Even the energetic Hardy sat in his seat and studied his topic.
At around six o'clock in the afternoon, the students in the office also left their seats and went downstairs to eat.
With a somewhat puzzled expression on his face, Lu Zhou opened the envelope.
As for the most important thing at this stage, it is to lay a solid foundation.
Three years have passed in the blink of an eye. Wei Wen has graduated from his sophomore year and successfully received an offer from Professor Lu from Princeton. He has become a great master in the eyes of his classmates and "other people's children" in the eyes of his fellow villagers.
Having a preliminary understanding of the two freshmen's personalities, Lu Zhou did not assign any tasks to them for the time being. He just gave each of them a book and asked them to go back and read it first, and then hand in their notes after reading.
After receiving the first draft of the paper, Lu Zhou started from the abstract and turned back. After flipping through a few pages, he nodded approvingly.
However, to say what he feels in his heart, I am afraid only he himself knows.
However, to say what he feels in his heart, I am afraid only he himself knows.
Since then, he has been chasing Lu Zhou as his target.
However, choosing Lu Zhou as his mentor was also his decision.
"There is no problem with this step." Lu Zhou nodded approvingly at Vera's logical rigor and continued, "But I noticed that in line 11 on page seven, you directly used equations (7) and (8) The conclusion proves that z0∈D exists for every branch D of Φ(g) that contains a certain positive integer, but this step is problematic.”
"Relax, you even got through the lecture at Berkeley, why do you need to worry about the math class at Princeton?"
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
Not only that, he could see her own thoughts in her proof ideas.
After asking Vera, who was going downstairs, to bring him a bacon sandwich, he stopped what he was doing and began to sort out the pile of mail in the drawer.
Other than that, there are no other shortcuts.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
The reason is also very simple, that is, he wants to become stronger.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
Lu Zhou quickly read the paper, made two marks with a ballpoint pen, and then said, "Let me ask a few questions."
…
Of course, this work is not that simple to complete. She only conducts a specific analysis on a specific problem, and the flaws in the process are also obvious.
Having a preliminary understanding of the two freshmen's personalities, Lu Zhou did not assign any tasks to them for the time being. He just gave each of them a book and asked them to go back and read it first, and then hand in their notes after reading.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
Lu Zhou wasn't very hungry now because of what he had eaten on the plane and the jet lag.
Lu Zhou quickly read the paper, made two marks with a ballpoint pen, and then said, "Let me ask a few questions."
But I have to say that if you strive for a higher goal, even if you don't reach the same height, you can still gain a lot in the process of striving.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
Basic learning still has to start from books. Only by having a comprehensive understanding of knowledge can you discover your own points of interest and further choose your own research direction.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
At this stage, it is necessary to use literature to understand those places in the book that cannot be described in detail because they are controversial or unresolved.
The reason is also very simple, that is, he wants to become stronger.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
Not sure if it was an illusion, but looking at this new student, Lu Zhou felt a little familiar.
After that, there is more advanced learning.
Other than that, there are no other shortcuts.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
At this time, Vera raised her head, obviously she had done nothing wrong, but she still couldn't help but glance around.
At this stage, it is necessary to use literature to understand those places in the book that cannot be described in detail because they are controversial or unresolved.
At that time, during the final expert interview session of the national competition, he deliberately walked over and pretended to be a coward in front of Lu Zhou, saying, "You may not be able to write a good paper, but the championship will be mine." In the end, the Higher Education Society Cup still won. He was taken back by Lu Zhou.
"But I still miscalculated."
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
Judging from the current level of the two, there is still a long way to go to achieve this.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
Lu Zhou wasn't very hungry now because of what he had eaten on the plane and the jet lag.
If we can make certain innovations on this basis, even if it just advances the work that predecessors failed to perfect by one millimeter, it can be regarded as a truly qualified graduation thesis.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
Looking at the students who were deep in thought, Lu Zhou thought for a moment and then spoke.
Judging from the current level of the two, there is still a long way to go to achieve this.
With a somewhat puzzled expression on his face, Lu Zhou opened the envelope.
As for the most important thing at this stage, it is to lay a solid foundation.
As for the most important thing at this stage, it is to lay a solid foundation.
Basic learning still has to start from books. Only by having a comprehensive understanding of knowledge can you discover your own points of interest and further choose your own research direction.
Strictly speaking, although the Kakutani conjecture is a classic problem in additive number theory, it is more like a complex analysis problem. Directly applying the group construction method to solve Goldbach's conjecture is not perfectly compatible.
Then he froze.
At this stage, it is necessary to use literature to understand those places in the book that cannot be described in detail because they are controversial or unresolved.
"I saw it during the interview... and also, the digital modeling competition."
Although there was a brief communication during the interview, Lu Zhou did not spend too much time with each interviewer because he was busy with the Jinling Institute of Computational Materials at the time.
Other than that, there are no other shortcuts.
However, choosing Lu Zhou as his mentor was also his decision.
Wei Wen looked a little embarrassed and coughed slightly.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
good.
Having a preliminary understanding of the two freshmen's personalities, Lu Zhou did not assign any tasks to them for the time being. He just gave each of them a book and asked them to go back and read it first, and then hand in their notes after reading.
…
The part completed by Vera is probably equivalent to the lubricant that allows the theory of group construction to penetrate from a series of additive number theory problems about prime numbers to the proposition that the set is the entire natural number.
Even the energetic Hardy sat in his seat and studied his topic.
In a state of concentration, time always passes quickly.
Wei Wen looked a little embarrassed and coughed slightly.
As soon as she heard that she was going to give a lecture on the stage, the little girl who was still listening attentively became a little nervous: "Do I also want to give a lecture on the stage?"
After that, there is more advanced learning.
In a state of concentration, time always passes quickly.
Having a preliminary understanding of the two freshmen's personalities, Lu Zhou did not assign any tasks to them for the time being. He just gave each of them a book and asked them to go back and read it first, and then hand in their notes after reading.
Vera opened her mouth and wanted to say something, but Lu Zhou didn't leave any escape route for her. He patted her shoulder and gave him an encouraging look.
"Wednesday is my first number theory class. If you have time, I hope you will come and sit in."
At around six o'clock in the afternoon, the students in the office also left their seats and went downstairs to eat.
Moreover, seeing it in the camera and seeing it in reality are two completely different feelings.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
After confirming that there was no one else in the office, she took out the first draft of the paper from the drawer and walked quietly to Lu Zhou's desk.
Gradually, only two people were left in the office.
"American Chemical Society?"
"Relax, you even got through the lecture at Berkeley, why do you need to worry about the math class at Princeton?"
At this time, Vera raised her head, obviously she had done nothing wrong, but she still couldn't help but glance around.
Looking at the students who were deep in thought, Lu Zhou thought for a moment and then spoke.
Lu Zhou wasn't very hungry now because of what he had eaten on the plane and the jet lag.
Even the energetic Hardy sat in his seat and studied his topic.
However, what is despairing is that the gap between the two has not narrowed at all, but has become wider and wider. Even Lu Shen's taillights can no longer be seen.
After confirming that there was no one else in the office, she took out the first draft of the paper from the drawer and walked quietly to Lu Zhou's desk.
With a somewhat puzzled expression on his face, Lu Zhou opened the envelope.
At this time, Vera raised her head, obviously she had done nothing wrong, but she still couldn't help but glance around.
Looking up at Vera, Lu Zhou recalled the previous exchange in the email. He probably guessed her purpose, so he put down the pen in his hand and said pleasantly, "Are you going to reveal the answer to the mystery with me?"
[... In order to thank you for your contribution to the field of organic synthesis and the changes that modified PDMS films have made to our world's energy and environment, we have decided to award you the Roger Adams Award.]
As soon as she heard that she was going to give a lecture on the stage, the little girl who was still listening attentively became a little nervous: "Do I also want to give a lecture on the stage?"
In a state of concentration, time always passes quickly.
However, choosing Lu Zhou as his mentor was also his decision.
Vera looked a little embarrassed, held the paper in her hands, and handed it out.
"But I still miscalculated."
When he saw the signature on the envelope, he couldn't help being slightly stunned.
"But I still miscalculated."
Skipping the middle part, Lu Zhou looked directly at the last line.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
"...Please help me take a look."
At around six o'clock in the afternoon, the students in the office also left their seats and went downstairs to eat.
Vera hurriedly came closer and stared at the paper for a long time.
As soon as she heard that she was going to give a lecture on the stage, the little girl who was still listening attentively became a little nervous: "Do I also want to give a lecture on the stage?"
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
After receiving the first draft of the paper, Lu Zhou started from the abstract and turned back. After flipping through a few pages, he nodded approvingly.
After that, there is more advanced learning.
Vera hurriedly came closer and stared at the paper for a long time.
Other than that, there are no other shortcuts.
Since then, he has been chasing Lu Zhou as his target.
Since then, he has been chasing Lu Zhou as his target.
good.
But, I can't remember where I saw it.
Vera came closer, looked at the paper and explained: "K(x) is a bounded holomorphic function on the complex plane. According to Liouville's theorem, we can find that Q(x) in line 5 on the third page is a constant value function, then equation (7) can be proved to be true."
I haven't been back for a month, and the mail stuffed in the drawer has piled up.
Vera hurriedly came closer and stared at the paper for a long time.
Among his three students, Vera is probably the only one who has truly understood and mastered his group construction method.
In a state of concentration, time always passes quickly.
The first sentence is nonsense.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
However, to say what he feels in his heart, I am afraid only he himself knows.
"You're right... I'll think about it when I get back."
Not only that, he could see her own thoughts in her proof ideas.
Not sure if it was an illusion, but looking at this new student, Lu Zhou felt a little familiar.
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
Strictly speaking, although the Kakutani conjecture is a classic problem in additive number theory, it is more like a complex analysis problem. Directly applying the group construction method to solve Goldbach's conjecture is not perfectly compatible.
Since then, he has been chasing Lu Zhou as his target.
Strictly speaking, although the Kakutani conjecture is a classic problem in additive number theory, it is more like a complex analysis problem. Directly applying the group construction method to solve Goldbach's conjecture is not perfectly compatible.
Looking up at Vera, Lu Zhou recalled the previous exchange in the email. He probably guessed her purpose, so he put down the pen in his hand and said pleasantly, "Are you going to reveal the answer to the mystery with me?"
Gradually, only two people were left in the office.
As for the most important thing at this stage, it is to lay a solid foundation.
After that, there is more advanced learning.
good.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
"Relax, you even got through the lecture at Berkeley, why do you need to worry about the math class at Princeton?"
[... In order to thank you for your contribution to the field of organic synthesis and the changes that modified PDMS films have made to our world's energy and environment, we have decided to award you the Roger Adams Award.]
The part completed by Vera is probably equivalent to the lubricant that allows the theory of group construction to penetrate from a series of additive number theory problems about prime numbers to the proposition that the set is the entire natural number.
However, what is despairing is that the gap between the two has not narrowed at all, but has become wider and wider. Even Lu Shen's taillights can no longer be seen.
Vera humbly asked for advice: "Professor, please tell me."
After receiving the first draft of the paper, Lu Zhou started from the abstract and turned back. After flipping through a few pages, he nodded approvingly.
Looking up at Vera, Lu Zhou recalled the previous exchange in the email. He probably guessed her purpose, so he put down the pen in his hand and said pleasantly, "Are you going to reveal the answer to the mystery with me?"
Of course, this work is not that simple to complete. She only conducts a specific analysis on a specific problem, and the flaws in the process are also obvious.
However, what is despairing is that the gap between the two has not narrowed at all, but has become wider and wider. Even Lu Shen's taillights can no longer be seen.
"You're right... I'll think about it when I get back."
Lu Zhou quickly read the paper, made two marks with a ballpoint pen, and then said, "Let me ask a few questions."
However, choosing Lu Zhou as his mentor was also his decision.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
Vera blushed and lowered her head.
Vera humbly asked for advice: "Professor, please tell me."
At this time, Vera raised her head, obviously she had done nothing wrong, but she still couldn't help but glance around.
However, to say what he feels in his heart, I am afraid only he himself knows.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
"American Chemical Society?"
After receiving the first draft of the paper, Lu Zhou started from the abstract and turned back. After flipping through a few pages, he nodded approvingly.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
I haven't been back for a month, and the mail stuffed in the drawer has piled up.
Of course, this work is not that simple to complete. She only conducts a specific analysis on a specific problem, and the flaws in the process are also obvious.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
Gradually, only two people were left in the office.
Even the energetic Hardy sat in his seat and studied his topic.
However, to say what he feels in his heart, I am afraid only he himself knows.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
Vera came closer, looked at the paper and explained: "K(x) is a bounded holomorphic function on the complex plane. According to Liouville's theorem, we can find that Q(x) in line 5 on the third page is a constant value function, then equation (7) can be proved to be true."
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
Vera hurriedly came closer and stared at the paper for a long time.
Vera looked a little embarrassed, held the paper in her hands, and handed it out.
However, to say what he feels in his heart, I am afraid only he himself knows.
"You're right... I'll think about it when I get back."
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
"There is no problem with this step." Lu Zhou nodded approvingly at Vera's logical rigor and continued, "But I noticed that in line 11 on page seven, you directly used equations (7) and (8) The conclusion proves that z0∈D exists for every branch D of Φ(g) that contains a certain positive integer, but this step is problematic.”
I haven't been back for a month, and the mail stuffed in the drawer has piled up.
Wei Wen looked a little embarrassed and coughed slightly.
Vera hurriedly came closer and stared at the paper for a long time.
Lu Zhou quickly read the paper, made two marks with a ballpoint pen, and then said, "Let me ask a few questions."
"Wednesday is my first number theory class. If you have time, I hope you will come and sit in."
With Lu Zhou's return, daily life in the laboratory has returned to normal.
In a state of concentration, time always passes quickly.
Among his three students, Vera is probably the only one who has truly understood and mastered his group construction method.
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
Gradually, her expression became a little embarrassed, and finally she lowered her head.
Moreover, seeing it in the camera and seeing it in reality are two completely different feelings.
Three years have passed in the blink of an eye. Wei Wen has graduated from his sophomore year and successfully received an offer from Professor Lu from Princeton. He has become a great master in the eyes of his classmates and "other people's children" in the eyes of his fellow villagers.
Vera looked a little embarrassed, held the paper in her hands, and handed it out.
Wei Wen looked a little embarrassed and coughed slightly.
However, choosing Lu Zhou as his mentor was also his decision.
Especially when he followed his teacher to Beijing Normal University to attend the Chinese Mathematicians Conference as a student and saw Lu Zhou winning the Chen Shengshen Mathematics Award, he basically gave up and just subconsciously worked in that direction.
Judging from the current level of the two, there is still a long way to go to achieve this.
After confirming that there was no one else in the office, she took out the first draft of the paper from the drawer and walked quietly to Lu Zhou's desk.
"You're right... I'll think about it when I get back."
At this time, Vera raised her head, obviously she had done nothing wrong, but she still couldn't help but glance around.
"I see."
At this stage, it is necessary to use literature to understand those places in the book that cannot be described in detail because they are controversial or unresolved.
Wei Wen looked a little embarrassed and coughed slightly.
Vera hurriedly came closer and stared at the paper for a long time.
"Don't be depressed, you have done a great job." Lu Zhou encouraged, "As long as the flaws in the paper are resolved, there is no doubt that this is an excellent result."
Not only that, he could see her own thoughts in her proof ideas.
Strictly speaking, although the Kakutani conjecture is a classic problem in additive number theory, it is more like a complex analysis problem. Directly applying the group construction method to solve Goldbach's conjecture is not perfectly compatible.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
Gradually, her expression became a little embarrassed, and finally she lowered her head.
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
However, to say what he feels in his heart, I am afraid only he himself knows.
Biting her lip, Vera shook her head stubbornly, her golden hair swaying slightly.
But I have to say that if you strive for a higher goal, even if you don't reach the same height, you can still gain a lot in the process of striving.
Looking at the students who were deep in thought, Lu Zhou thought for a moment and then spoke.
"But I still miscalculated."
Since then, he has been chasing Lu Zhou as his target.
After confirming that there was no one else in the office, she took out the first draft of the paper from the drawer and walked quietly to Lu Zhou's desk.
Strictly speaking, although the Kakutani conjecture is a classic problem in additive number theory, it is more like a complex analysis problem. Directly applying the group construction method to solve Goldbach's conjecture is not perfectly compatible.
However, choosing Lu Zhou as his mentor was also his decision.
The part completed by Vera is probably equivalent to the lubricant that allows the theory of group construction to penetrate from a series of additive number theory problems about prime numbers to the proposition that the set is the entire natural number.
Looking at the students who were deep in thought, Lu Zhou thought for a moment and then spoke.
However, to say what he feels in his heart, I am afraid only he himself knows.
But I have to say that if you strive for a higher goal, even if you don't reach the same height, you can still gain a lot in the process of striving.
Although there was a brief communication during the interview, Lu Zhou did not spend too much time with each interviewer because he was busy with the Jinling Institute of Computational Materials at the time.
Although there was a brief communication during the interview, Lu Zhou did not spend too much time with each interviewer because he was busy with the Jinling Institute of Computational Materials at the time.
good.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
"Wednesday is my first number theory class. If you have time, I hope you will come and sit in."
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
Vera came closer, looked at the paper and explained: "K(x) is a bounded holomorphic function on the complex plane. According to Liouville's theorem, we can find that Q(x) in line 5 on the third page is a constant value function, then equation (7) can be proved to be true."
"American Chemical Society?"
Vera looked a little embarrassed, held the paper in her hands, and handed it out.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
When he saw the signature on the envelope, he couldn't help being slightly stunned.
"There is no problem with this step." Lu Zhou nodded approvingly at Vera's logical rigor and continued, "But I noticed that in line 11 on page seven, you directly used equations (7) and (8) The conclusion proves that z0∈D exists for every branch D of Φ(g) that contains a certain positive integer, but this step is problematic.”
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
With Lu Zhou's return, daily life in the laboratory has returned to normal.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
Of course, this work is not that simple to complete. She only conducts a specific analysis on a specific problem, and the flaws in the process are also obvious.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
As soon as she heard that she was going to give a lecture on the stage, the little girl who was still listening attentively became a little nervous: "Do I also want to give a lecture on the stage?"
"Don't be depressed, you have done a great job." Lu Zhou encouraged, "As long as the flaws in the paper are resolved, there is no doubt that this is an excellent result."
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
Gradually, only two people were left in the office.
As for the most important thing at this stage, it is to lay a solid foundation.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
"American Chemical Society?"
Other than that, there are no other shortcuts.
Gradually, her expression became a little embarrassed, and finally she lowered her head.
When he saw the signature on the envelope, he couldn't help being slightly stunned.
"I see."
As for the second sentence... that's really embarrassing.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
Then he froze.
Skipping the middle part, Lu Zhou looked directly at the last line.
The reason is also very simple, that is, he wants to become stronger.
Gradually, her expression became a little embarrassed, and finally she lowered her head.
"American Chemical Society?"
However, choosing Lu Zhou as his mentor was also his decision.
Basic learning still has to start from books. Only by having a comprehensive understanding of knowledge can you discover your own points of interest and further choose your own research direction.
Vera opened her mouth and wanted to say something, but Lu Zhou didn't leave any escape route for her. He patted her shoulder and gave him an encouraging look.
Moreover, seeing it in the camera and seeing it in reality are two completely different feelings.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
Vera opened her mouth and wanted to say something, but Lu Zhou didn't leave any escape route for her. He patted her shoulder and gave him an encouraging look.
Since then, he has been chasing Lu Zhou as his target.
"Relax, you even got through the lecture at Berkeley, why do you need to worry about the math class at Princeton?"
"You're right... I'll think about it when I get back."
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
"Relax, you even got through the lecture at Berkeley, why do you need to worry about the math class at Princeton?"
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
If we can make certain innovations on this basis, even if it just advances the work that predecessors failed to perfect by one millimeter, it can be regarded as a truly qualified graduation thesis.
Moreover, seeing it in the camera and seeing it in reality are two completely different feelings.
Vera blushed and lowered her head.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
Judging from the current level of the two, there is still a long way to go to achieve this.
With a somewhat puzzled expression on his face, Lu Zhou opened the envelope.
As soon as she heard that she was going to give a lecture on the stage, the little girl who was still listening attentively became a little nervous: "Do I also want to give a lecture on the stage?"
Among his three students, Vera is probably the only one who has truly understood and mastered his group construction method.
Vera blushed and lowered her head.
As for the second sentence... that's really embarrassing.
Judging from the current level of the two, there is still a long way to go to achieve this.
"I see."
However, choosing Lu Zhou as his mentor was also his decision.
But, I can't remember where I saw it.
Gradually, her expression became a little embarrassed, and finally she lowered her head.
"American Chemical Society?"
Vera blushed and lowered her head.
Three years have passed in the blink of an eye. Wei Wen has graduated from his sophomore year and successfully received an offer from Professor Lu from Princeton. He has become a great master in the eyes of his classmates and "other people's children" in the eyes of his fellow villagers.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
…
"...Please help me take a look."
Vera opened her mouth and wanted to say something, but Lu Zhou didn't leave any escape route for her. He patted her shoulder and gave him an encouraging look.
Lu Zhou wasn't very hungry now because of what he had eaten on the plane and the jet lag.
"I saw it during the interview... and also, the digital modeling competition."
With Lu Zhou's return, daily life in the laboratory has returned to normal.
"Of course, substitute teaching is part of a teaching assistant's job. I should have told you that before."
"...Please help me take a look."
Strictly speaking, although the Kakutani conjecture is a classic problem in additive number theory, it is more like a complex analysis problem. Directly applying the group construction method to solve Goldbach's conjecture is not perfectly compatible.
As for the most important thing at this stage, it is to lay a solid foundation.
Especially when he followed his teacher to Beijing Normal University to attend the Chinese Mathematicians Conference as a student and saw Lu Zhou winning the Chen Shengshen Mathematics Award, he basically gave up and just subconsciously worked in that direction.
After asking Vera, who was going downstairs, to bring him a bacon sandwich, he stopped what he was doing and began to sort out the pile of mail in the drawer.
After a pause, he continued, "Although undergraduate courses no longer mean much to you, you are my teaching assistant. Occasionally, when I am too busy, I still need you to help me with classes."
In a state of concentration, time always passes quickly.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
"...Please help me take a look."
Since then, he has been chasing Lu Zhou as his target.
At that time, during the final expert interview session of the national competition, he deliberately walked over and pretended to be a coward in front of Lu Zhou, saying, "You may not be able to write a good paper, but the championship will be mine." In the end, the Higher Education Society Cup still won. He was taken back by Lu Zhou.
I haven't been back for a month, and the mail stuffed in the drawer has piled up.
However, choosing Lu Zhou as his mentor was also his decision.
After confirming that there was no one else in the office, she took out the first draft of the paper from the drawer and walked quietly to Lu Zhou's desk.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
Not only that, he could see her own thoughts in her proof ideas.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
At this stage, it is necessary to use literature to understand those places in the book that cannot be described in detail because they are controversial or unresolved.
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
Vera opened her mouth and wanted to say something, but Lu Zhou didn't leave any escape route for her. He patted her shoulder and gave him an encouraging look.
At this stage, it is necessary to use literature to understand those places in the book that cannot be described in detail because they are controversial or unresolved.
Vera looked a little embarrassed, held the paper in her hands, and handed it out.
Lu Zhou quickly read the paper, made two marks with a ballpoint pen, and then said, "Let me ask a few questions."
Other than that, there are no other shortcuts.
[... In order to thank you for your contribution to the field of organic synthesis and the changes that modified PDMS films have made to our world's energy and environment, we have decided to award you the Roger Adams Award.]
With Lu Zhou's return, daily life in the laboratory has returned to normal.
From the bottom of the folded document, Lu Zhou suddenly pulled out a beautifully packaged letter.
With Lu Zhou's return, daily life in the laboratory has returned to normal.
Then he froze.
"But I still miscalculated."
[... In order to thank you for your contribution to the field of organic synthesis and the changes that modified PDMS films have made to our world's energy and environment, we have decided to award you the Roger Adams Award.]
However, to say what he feels in his heart, I am afraid only he himself knows.
Among his three students, Vera is probably the only one who has truly understood and mastered his group construction method.
good.
…
When he saw the signature on the envelope, he couldn't help being slightly stunned.
After asking Vera, who was going downstairs, to bring him a bacon sandwich, he stopped what he was doing and began to sort out the pile of mail in the drawer.
"Wednesday is my first number theory class. If you have time, I hope you will come and sit in."
Gradually, her expression became a little embarrassed, and finally she lowered her head.
Vera humbly asked for advice: "Professor, please tell me."
"American Chemical Society?"
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
"American Chemical Society?"
Skipping the middle part, Lu Zhou looked directly at the last line.
After that, there is more advanced learning.
…
With a somewhat puzzled expression on his face, Lu Zhou opened the envelope.
The first sentence is nonsense.
The part completed by Vera is probably equivalent to the lubricant that allows the theory of group construction to penetrate from a series of additive number theory problems about prime numbers to the proposition that the set is the entire natural number.
good.
Three years have passed in the blink of an eye. Wei Wen has graduated from his sophomore year and successfully received an offer from Professor Lu from Princeton. He has become a great master in the eyes of his classmates and "other people's children" in the eyes of his fellow villagers.
Vera blushed and lowered her head.
Since then, he has been chasing Lu Zhou as his target.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
Vera hurriedly came closer and stared at the paper for a long time.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
"But I still miscalculated."
At this time, Vera raised her head, obviously she had done nothing wrong, but she still couldn't help but glance around.
Wei Wen looked a little embarrassed and coughed slightly.
Lu Zhou quickly read the paper, made two marks with a ballpoint pen, and then said, "Let me ask a few questions."
Skipping the middle part, Lu Zhou looked directly at the last line.
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
"Relax, you even got through the lecture at Berkeley, why do you need to worry about the math class at Princeton?"
Vera came closer, looked at the paper and explained: "K(x) is a bounded holomorphic function on the complex plane. According to Liouville's theorem, we can find that Q(x) in line 5 on the third page is a constant value function, then equation (7) can be proved to be true."
Three years have passed in the blink of an eye. Wei Wen has graduated from his sophomore year and successfully received an offer from Professor Lu from Princeton. He has become a great master in the eyes of his classmates and "other people's children" in the eyes of his fellow villagers.
Lu Zhou smiled and continued, "Besides, occasionally thinking about obvious problems will be very helpful for your research. Maybe which number theory class will become the starting point of your inspiration. Just like when I solved Goldbach's problem The conjecture was also inspired by Fefferman’s number theory class, although the content of his class at that time had nothing to do with Goldbach’s conjecture.”
The reason is also very simple, that is, he wants to become stronger.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
The first sentence is nonsense.
According to his experience, the focus of such formal written letters is often found in the last few lines.
Lu Zhou: "On page 4, line 13, I noticed that you assume the holomorphic mapping K:→△ such that πog=f. Can you tell me the meaning of this part?"
Gradually, her expression became a little embarrassed, and finally she lowered her head.
Vera looked a little embarrassed, held the paper in her hands, and handed it out.
"Relax, you even got through the lecture at Berkeley, why do you need to worry about the math class at Princeton?"
Looking up at Vera, Lu Zhou recalled the previous exchange in the email. He probably guessed her purpose, so he put down the pen in his hand and said pleasantly, "Are you going to reveal the answer to the mystery with me?"
Basic learning still has to start from books. Only by having a comprehensive understanding of knowledge can you discover your own points of interest and further choose your own research direction.
But, I can't remember where I saw it.
Then he froze.
Vera opened her mouth and wanted to say something, but Lu Zhou didn't leave any escape route for her. He patted her shoulder and gave him an encouraging look.
[Dear Professor Lu Zhou, I am the president of the American Chemical Society...]
But, I can't remember where I saw it.
"I see."
[... In order to thank you for your contribution to the field of organic synthesis and the changes that modified PDMS films have made to our world's energy and environment, we have decided to award you the Roger Adams Award.]
Although there was a brief communication during the interview, Lu Zhou did not spend too much time with each interviewer because he was busy with the Jinling Institute of Computational Materials at the time.
At around six o'clock in the afternoon, the students in the office also left their seats and went downstairs to eat.
"I saw it during the interview... and also, the digital modeling competition."
However, choosing Lu Zhou as his mentor was also his decision.
Although there was a brief communication during the interview, Lu Zhou did not spend too much time with each interviewer because he was busy with the Jinling Institute of Computational Materials at the time.
Most of them were copies of contracts sent by Whitey Sheridan, and some were stuffed in through various methods.
…