"sure… "
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
The response to him was naturally the applause that resounded throughout the classroom.
Dieudonné was one of the founders of the Bourbaki school. "Mathematics is for the glory of the human mind" was his famous saying. Although Professor Fefferman does not agree with the views of the Bourbaki school, he quite agrees with this sentence.
After five minutes passed, Professor Fefferman's expression suddenly relaxed and he spoke in a relaxed tone.
Looking at Professor Fefferman in surprise, Lu Zhou made a gesture of invitation and gave up his seat in front of the whiteboard.
Obviously, although their reaction was a little slow, like Lu Zhou, they also saw the ingenuity of this idea from Professor Fefferman's steps.
What he didn't expect in particular was that this big boss would sit in the back row of the lecture theater.
If it were so easy to solve, the Clay Institute would not include it in its list of the Seven Millennium Puzzles.
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
Picking up the marker, Professor Fefferman stared at the whiteboard and thought for a moment, then started writing on it.
"promise?"
Obviously, although their reaction was a little slow, like Lu Zhou, they also saw the ingenuity of this idea from Professor Fefferman's steps.
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
The time for get out of class has come, but no one sitting in the classroom left their seats.
"What do you think?"
In all of North America, there is probably no place that respects genius and knowledge more than Princeton.
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
"A very fulfilling class... Although I may be a bit boastful when I say this. What do you think?"
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
Although Fefferman has not yet reached the last step of writing, Lu Zhou can basically confirm that his idea is not absolutely correct, but there is at least a 90% chance that it is feasible!
Everyone, including Lu Zhou, stared intently at the content on the whiteboard.
"A very fulfilling class... Although I may be a bit boastful when I say this. What do you think?"
However, this kind of ease is not endless...
"About the existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equation," Professor Fefferman paused for a moment, smiled, and said in a sincere tone, "I hope to cooperate with you to solve this problem!"
Although Fefferman has not yet reached the last step of writing, Lu Zhou can basically confirm that his idea is not absolutely correct, but there is at least a 90% chance that it is feasible!
Seeing Lu Zhou's helpless expression, Fefferman coughed slightly, stopped joking, and switched to a serious tone.
Seeing the whiteboard that Professor Fefferman had dragged for him, Lu Zhou stopped being polite and erased the writing on the whiteboard. He picked up the marker again and started writing on the blackboard, and detailed his steps. explain.
Lu Zhou did not agree easily, but asked: "What request?"
Gradually, Lu Zhou's eyes lit up slightly as he watched Professor Fefferman's steps.
"Professor, you said that if anyone solves this problem, you will accept him as your doctor."
Lu Zhou did not agree easily, but asked: "What request?"
What he didn't expect in particular was that this big boss would sit in the back row of the lecture theater.
Lu Zhou didn't look at the student who was leading the heckles. He coughed dryly and said, "You'd better stop joking."
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
"sure… "
Wonderful...
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
"No, no, no, I'm not joking," Professor Fefferman laughed, "If you don't mind getting another PhD, I wouldn't mind studying for another PhD here."
Looking at the two people on the podium without blinking, the students sitting in the classroom remained silent for fear of making any noise and interrupting the thinking of the two bosses.
[Pμi:=μi—(Δ^—1)·δi·δj·μj]
Lu Zhou, who was staring at the whiteboard intently, nodded in agreement: "You are right."
After smoothly filling up the rest of the whiteboard, Professor Fefferman drew the last stroke on the last line—
"Of course." This was not something worth hiding. Lu Zhou smiled and said happily, "But I need a new whiteboard."
This is where mathematics gets interesting.
After five minutes passed, Professor Fefferman's expression suddenly relaxed and he spoke in a relaxed tone.
Lu Zhou coughed slightly: "So, it is just a question for thinking."
In all of North America, there is probably no place that respects genius and knowledge more than Princeton.
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
"What do you think?"
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
Picking up the marker, Professor Fefferman stared at the whiteboard and thought for a moment, then started writing on it.
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
"sure… "
Picking up the marker, Professor Fefferman stared at the whiteboard and thought for a moment, then started writing on it.
Gradually, Lu Zhou's eyes lit up slightly as he watched Professor Fefferman's steps.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
Although Fefferman has not yet reached the last step of writing, Lu Zhou can basically confirm that his idea is not absolutely correct, but there is at least a 90% chance that it is feasible!
Although he didn't speak, he actually felt a little proud in his heart.
Withdrawing the marker printed on the whiteboard, Professor Fefferman carefully read the calculation he had written from beginning to end, then smiled and said softly.
Lu Zhou did not agree easily, but asked: "What request?"
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
But in fact it is actually very easy to do this.
"Professor, you said that if anyone solves this problem, you will accept him as your doctor."
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
Sure enough, this big shot did not disappoint him.
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
Obviously, although their reaction was a little slow, like Lu Zhou, they also saw the ingenuity of this idea from Professor Fefferman's steps.
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
After smoothly filling up the rest of the whiteboard, Professor Fefferman drew the last stroke on the last line—
"About the existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equation," Professor Fefferman paused for a moment, smiled, and said in a sincere tone, "I hope to cooperate with you to solve this problem!"
Everyone, including Lu Zhou, stared intently at the content on the whiteboard.
"If we get Pμi: =μi-(Δ^-1)·δi·δj·μj, we can further find out... "
There were commotions in the classroom. Although these contents are a bit difficult for undergraduate students, this is Princeton after all, and sitting here are mathematics students who are at the top of the disciplinary contempt chain.
"Where (Δ^—1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ| square... But what I want to know is, even if you get the equation of Pμi, what's the point? I think If you don't come out... can you answer it for me?"
[Pμi:=μi—(Δ^—1)·δi·δj·μj]
Rubbing his stubble thoughtfully with his index finger, Professor Fefferman seemed to be talking to himself.
Sure enough, this big shot did not disappoint him.
After smoothly filling up the rest of the whiteboard, Professor Fefferman drew the last stroke on the last line—
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
Seeing Lu Zhou's helpless expression, Fefferman coughed slightly, stopped joking, and switched to a serious tone.
There were commotions in the classroom. Although these contents are a bit difficult for undergraduate students, this is Princeton after all, and sitting here are mathematics students who are at the top of the disciplinary contempt chain.
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
Although Fefferman has not yet reached the last step of writing, Lu Zhou can basically confirm that his idea is not absolutely correct, but there is at least a 90% chance that it is feasible!
During this period of time, he has been busy with experiments. The research on the NS equation has actually only reached the step of "Pμi:=?". As for the next content written on the whiteboard, it was actually deduced on the spot.
Lu Zhou took back the marker in his hand and cast a questioning look at him.
Just because you can't think of this step doesn't mean that no one can understand it.
This may sound difficult.
Dieudonné was one of the founders of the Bourbaki school. "Mathematics is for the glory of the human mind" was his famous saying. Although Professor Fefferman does not agree with the views of the Bourbaki school, he quite agrees with this sentence.
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
Turning his attention back to the content on the whiteboard, Professor Fefferman touched the stubble on his chin and said thoughtfully.
Everyone, including Lu Zhou, stared intently at the content on the whiteboard.
There were cheers in the classroom.
Obviously, although their reaction was a little slow, like Lu Zhou, they also saw the ingenuity of this idea from Professor Fefferman's steps.
Sure enough, this big shot did not disappoint him.
"It seems... a bit interesting."
If it were so easy to solve, the Clay Institute would not include it in its list of the Seven Millennium Puzzles.
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
Seeing this step, Professor Fefferman's originally frowning eyebrows suddenly raised a hint of interest.
Withdrawing the marker printed on the whiteboard, Professor Fefferman carefully read the calculation he had written from beginning to end, then smiled and said softly.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
This is where mathematics gets interesting.
The time for get out of class has come, but no one sitting in the classroom left their seats.
Looking at Professor Fefferman in surprise, Lu Zhou made a gesture of invitation and gave up his seat in front of the whiteboard.
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
"This question is not easy...it is a bit difficult for undergraduates."
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
"About the existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equation," Professor Fefferman paused for a moment, smiled, and said in a sincere tone, "I hope to cooperate with you to solve this problem!"
"No, no, no, I'm not joking," Professor Fefferman laughed, "If you don't mind getting another PhD, I wouldn't mind studying for another PhD here."
Gradually, Lu Zhou's eyes lit up slightly as he watched Professor Fefferman's steps.
Lu Zhou took back the marker in his hand and cast a questioning look at him.
Sure enough, this big shot did not disappoint him.
Lu Zhou coughed slightly: "So, it is just a question for thinking."
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
But in fact it is actually very easy to do this.
He originally planned to meet with the students. If not for so many people being interested in his research progress, he would not have put this question on the whiteboard on a whim.
Although he didn't speak, he actually felt a little proud in his heart.
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
Seeing the whiteboard that Professor Fefferman had dragged for him, Lu Zhou stopped being polite and erased the writing on the whiteboard. He picked up the marker again and started writing on the blackboard, and detailed his steps. explain.
Rubbing his stubble thoughtfully with his index finger, Professor Fefferman seemed to be talking to himself.
What he didn't expect in particular was that this big boss would sit in the back row of the lecture theater.
Lu Zhou was stunned for a moment and said doubtfully.
Lu Zhou did not agree easily, but asked: "What request?"
What he didn't expect in particular was that this big boss would sit in the back row of the lecture theater.
Turning his attention back to the content on the whiteboard, Professor Fefferman touched the stubble on his chin and said thoughtfully.
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
However, this kind of ease is not endless...
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
Everyone, including Lu Zhou, stared intently at the content on the whiteboard.
"Where (Δ^—1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ| square... But what I want to know is, even if you get the equation of Pμi, what's the point? I think If you don't come out... can you answer it for me?"
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
Although Fefferman has not yet reached the last step of writing, Lu Zhou can basically confirm that his idea is not absolutely correct, but there is at least a 90% chance that it is feasible!
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
"Of course." This was not something worth hiding. Lu Zhou smiled and said happily, "But I need a new whiteboard."
But in fact it is actually very easy to do this.
Rubbing his stubble thoughtfully with his index finger, Professor Fefferman seemed to be talking to himself.
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
Dieudonné was one of the founders of the Bourbaki school. "Mathematics is for the glory of the human mind" was his famous saying. Although Professor Fefferman does not agree with the views of the Bourbaki school, he quite agrees with this sentence.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
Withdrawing the marker printed on the whiteboard, Professor Fefferman carefully read the calculation he had written from beginning to end, then smiled and said softly.
Lu Zhou was stunned for a moment and said doubtfully.
Everyone, including Lu Zhou, stared intently at the content on the whiteboard.
Listening to the thunderous applause, Lu Zhou smiled sheepishly.
After saying this, Professor Fefferman turned around and left the lecture theater, and quickly dragged a whiteboard back from the next classroom.
Picking up the marker, Professor Fefferman stared at the whiteboard and thought for a moment, then started writing on it.
There were commotions in the classroom. Although these contents are a bit difficult for undergraduate students, this is Princeton after all, and sitting here are mathematics students who are at the top of the disciplinary contempt chain.
What he didn't expect in particular was that this big boss would sit in the back row of the lecture theater.
There were commotions in the classroom. Although these contents are a bit difficult for undergraduate students, this is Princeton after all, and sitting here are mathematics students who are at the top of the disciplinary contempt chain.
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
Seeing the whiteboard that Professor Fefferman had dragged for him, Lu Zhou stopped being polite and erased the writing on the whiteboard. He picked up the marker again and started writing on the blackboard, and detailed his steps. explain.
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
Withdrawing the marker printed on the whiteboard, Professor Fefferman carefully read the calculation he had written from beginning to end, then smiled and said softly.
"No, no, no, I'm not joking," Professor Fefferman laughed, "If you don't mind getting another PhD, I wouldn't mind studying for another PhD here."
Looking at Professor Fefferman in surprise, Lu Zhou made a gesture of invitation and gave up his seat in front of the whiteboard.
He originally planned to meet with the students. If not for so many people being interested in his research progress, he would not have put this question on the whiteboard on a whim.
"If we get Pμi: =μi-(Δ^-1)·δi·δj·μj, we can further find out... "
After five minutes passed, Professor Fefferman's expression suddenly relaxed and he spoke in a relaxed tone.
The response to him was naturally the applause that resounded throughout the classroom.
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
Withdrawing the marker printed on the whiteboard, Professor Fefferman carefully read the calculation he had written from beginning to end, then smiled and said softly.
This is where mathematics gets interesting.
During this period of time, he has been busy with experiments. The research on the NS equation has actually only reached the step of "Pμi:=?". As for the next content written on the whiteboard, it was actually deduced on the spot.
Everyone, including Lu Zhou, stared intently at the content on the whiteboard.
Picking up the marker, Professor Fefferman stared at the whiteboard and thought for a moment, then started writing on it.
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
Turning his attention back to the content on the whiteboard, Professor Fefferman touched the stubble on his chin and said thoughtfully.
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
[Pμi:=μi—(Δ^—1)·δi·δj·μj]
"What do you think?"
"If we get Pμi: =μi-(Δ^-1)·δi·δj·μj, we can further find out... "
This may sound difficult.
Seeing the whiteboard that Professor Fefferman had dragged for him, Lu Zhou stopped being polite and erased the writing on the whiteboard. He picked up the marker again and started writing on the blackboard, and detailed his steps. explain.
He originally planned to meet with the students. If not for so many people being interested in his research progress, he would not have put this question on the whiteboard on a whim.
Seeing Lu Zhou's helpless expression, Fefferman coughed slightly, stopped joking, and switched to a serious tone.
"If we get Pμi: =μi-(Δ^-1)·δi·δj·μj, we can further find out... "
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
But in fact it is actually very easy to do this.
"If we get Pμi: =μi-(Δ^-1)·δi·δj·μj, we can further find out... "
In all of North America, there is probably no place that respects genius and knowledge more than Princeton.
After all, the idea is here, all he needs to do is to bring in the previous conclusions, and then continue to deduce along this line of thinking.
"What do you think?"
This may sound difficult.
Although he didn't speak, he actually felt a little proud in his heart.
Just because you can't think of this step doesn't mean that no one can understand it.
The response to him was naturally the applause that resounded throughout the classroom.
He originally planned to meet with the students. If not for so many people being interested in his research progress, he would not have put this question on the whiteboard on a whim.
However, this kind of ease is not endless...
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
This may sound difficult.
Gradually, Lu Zhou's eyes lit up slightly as he watched Professor Fefferman's steps.
If it were so easy to solve, the Clay Institute would not include it in its list of the Seven Millennium Puzzles.
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
Picking up the marker, Professor Fefferman stared at the whiteboard and thought for a moment, then started writing on it.
There were commotions in the classroom. Although these contents are a bit difficult for undergraduate students, this is Princeton after all, and sitting here are mathematics students who are at the top of the disciplinary contempt chain.
Wonderful...
Although Fefferman has not yet reached the last step of writing, Lu Zhou can basically confirm that his idea is not absolutely correct, but there is at least a 90% chance that it is feasible!
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
Lu Zhou took back the marker in his hand and cast a questioning look at him.
"Professor, you said that if anyone solves this problem, you will accept him as your doctor."
"It seems that this problem is not easy to solve."
The time for get out of class has come, but no one sitting in the classroom left their seats.
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
The response to him was naturally the applause that resounded throughout the classroom.
Listening to the thunderous applause, Lu Zhou smiled sheepishly.
Seeing this step, Professor Fefferman's originally frowning eyebrows suddenly raised a hint of interest.
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
Just because you can't think of this step doesn't mean that no one can understand it.
Withdrawing the marker printed on the whiteboard, Professor Fefferman carefully read the calculation he had written from beginning to end, then smiled and said softly.
Although he didn't speak, he actually felt a little proud in his heart.
Although Professor Fefferman's tone did not sound like he was joking, Lu Zhou knew that he must be joking.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
Lu Zhou took back the marker in his hand and cast a questioning look at him.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
But in fact it is actually very easy to do this.
Turning his attention back to the content on the whiteboard, Professor Fefferman touched the stubble on his chin and said thoughtfully.
However, this kind of ease is not endless...
Listening to the thunderous applause, Lu Zhou smiled sheepishly.
Lu Zhou did not agree easily, but asked: "What request?"
"It seems that this problem is not easy to solve."
"What do you think?"
"A very fulfilling class... Although I may be a bit boastful when I say this. What do you think?"
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
Rubbing his stubble thoughtfully with his index finger, Professor Fefferman seemed to be talking to himself.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
Sure enough, this big shot did not disappoint him.
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
"Of course." This was not something worth hiding. Lu Zhou smiled and said happily, "But I need a new whiteboard."
Obviously, although their reaction was a little slow, like Lu Zhou, they also saw the ingenuity of this idea from Professor Fefferman's steps.
What he didn't expect in particular was that this big boss would sit in the back row of the lecture theater.
"It seems... a bit interesting."
Lu Zhou coughed slightly: "So, it is just a question for thinking."
"Of course." This was not something worth hiding. Lu Zhou smiled and said happily, "But I need a new whiteboard."
This may sound difficult.
During this period of time, he has been busy with experiments. The research on the NS equation has actually only reached the step of "Pμi:=?". As for the next content written on the whiteboard, it was actually deduced on the spot.
"What do you think?"
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
Looking at the two people on the podium without blinking, the students sitting in the classroom remained silent for fear of making any noise and interrupting the thinking of the two bosses.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
Rubbing his stubble thoughtfully with his index finger, Professor Fefferman seemed to be talking to himself.
There were cheers in the classroom.
Everyone, including Lu Zhou, stared intently at the content on the whiteboard.
This is where mathematics gets interesting.
"sure… "
In all of North America, there is probably no place that respects genius and knowledge more than Princeton.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
After five minutes passed, Professor Fefferman's expression suddenly relaxed and he spoke in a relaxed tone.
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
He originally planned to meet with the students. If not for so many people being interested in his research progress, he would not have put this question on the whiteboard on a whim.
Sure enough, this big shot did not disappoint him.
Lu Zhou coughed slightly: "So, it is just a question for thinking."
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
Lu Zhou didn't look at the student who was leading the heckles. He coughed dryly and said, "You'd better stop joking."
"It seems that this problem is not easy to solve."
Lu Zhou didn't look at the student who was leading the heckles. He coughed dryly and said, "You'd better stop joking."
This is where mathematics gets interesting.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
"About the existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equation," Professor Fefferman paused for a moment, smiled, and said in a sincere tone, "I hope to cooperate with you to solve this problem!"
Lu Zhou, who was staring at the whiteboard intently, nodded in agreement: "You are right."
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
"This question is not easy...it is a bit difficult for undergraduates."
"By the way, I've solved this problem." Listening to the applause in the classroom gradually subside, Professor Fefferman suddenly remembered something, pointed to the calculation on the whiteboard, and said in a humorous tone, " Is your promise still valid?"
"Professor, you said that if anyone solves this problem, you will accept him as your doctor."
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
If it were so easy to solve, the Clay Institute would not include it in its list of the Seven Millennium Puzzles.
There were cheers in the classroom.
This is where mathematics gets interesting.
This is where mathematics gets interesting.
Obviously, although their reaction was a little slow, like Lu Zhou, they also saw the ingenuity of this idea from Professor Fefferman's steps.
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
"Of course." This was not something worth hiding. Lu Zhou smiled and said happily, "But I need a new whiteboard."
Rubbing his stubble thoughtfully with his index finger, Professor Fefferman seemed to be talking to himself.
"Professor, you said that if anyone solves this problem, you will accept him as your doctor."
Listening to the thunderous applause, Lu Zhou smiled sheepishly.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
Dieudonné was one of the founders of the Bourbaki school. "Mathematics is for the glory of the human mind" was his famous saying. Although Professor Fefferman does not agree with the views of the Bourbaki school, he quite agrees with this sentence.
Although he didn't speak, he actually felt a little proud in his heart.
Lu Zhou took back the marker in his hand and cast a questioning look at him.
In all of North America, there is probably no place that respects genius and knowledge more than Princeton.
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
After all, the idea is here, all he needs to do is to bring in the previous conclusions, and then continue to deduce along this line of thinking.
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
There were commotions in the classroom. Although these contents are a bit difficult for undergraduate students, this is Princeton after all, and sitting here are mathematics students who are at the top of the disciplinary contempt chain.
Seeing Lu Zhou's helpless expression, Fefferman coughed slightly, stopped joking, and switched to a serious tone.
After smoothly filling up the rest of the whiteboard, Professor Fefferman drew the last stroke on the last line—
[Pμi:=μi—(Δ^—1)·δi·δj·μj]
"A very fulfilling class... Although I may be a bit boastful when I say this. What do you think?"
But in fact it is actually very easy to do this.
"Where (Δ^—1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ| square... But what I want to know is, even if you get the equation of Pμi, what's the point? I think If you don't come out... can you answer it for me?"
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
Listening to the thunderous applause, Lu Zhou smiled sheepishly.
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
Lu Zhou did not agree easily, but asked: "What request?"
In all of North America, there is probably no place that respects genius and knowledge more than Princeton.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
This may sound difficult.
After smoothly filling up the rest of the whiteboard, Professor Fefferman drew the last stroke on the last line—
The response to him was naturally the applause that resounded throughout the classroom.
After smoothly filling up the rest of the whiteboard, Professor Fefferman drew the last stroke on the last line—
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
"sure… "
Lu Zhou took back the marker in his hand and cast a questioning look at him.
Although Professor Fefferman's tone did not sound like he was joking, Lu Zhou knew that he must be joking.
Listening to the thunderous applause, Lu Zhou smiled sheepishly.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
"But it's beyond my expectation that you can do this." Professor Fefferman smiled and said pleasantly, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and also a partial differential equation. A classic proposition in an equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but will also have a profound impact on a series of related disciplines."
The time for get out of class has come, but no one sitting in the classroom left their seats.
Although he didn't speak, he actually felt a little proud in his heart.
"What do you think?"
After five minutes passed, Professor Fefferman's expression suddenly relaxed and he spoke in a relaxed tone.
Although he didn't speak, he actually felt a little proud in his heart.
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
"sure… "
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
"Where (Δ^—1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ| square... But what I want to know is, even if you get the equation of Pμi, what's the point? I think If you don't come out... can you answer it for me?"
Turning his attention back to the content on the whiteboard, Professor Fefferman touched the stubble on his chin and said thoughtfully.
"By the way, I've solved this problem." Listening to the applause in the classroom gradually subside, Professor Fefferman suddenly remembered something, pointed to the calculation on the whiteboard, and said in a humorous tone, " Is your promise still valid?"
Dieudonné was one of the founders of the Bourbaki school. "Mathematics is for the glory of the human mind" was his famous saying. Although Professor Fefferman does not agree with the views of the Bourbaki school, he quite agrees with this sentence.
Lu Zhou was stunned for a moment and said doubtfully.
Lu Zhou did not agree easily, but asked: "What request?"
If it were so easy to solve, the Clay Institute would not include it in its list of the Seven Millennium Puzzles.
[Pμi:=μi—(Δ^—1)·δi·δj·μj]
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
"Of course." This was not something worth hiding. Lu Zhou smiled and said happily, "But I need a new whiteboard."
Looking at Professor Fefferman in surprise, Lu Zhou made a gesture of invitation and gave up his seat in front of the whiteboard.
Lu Zhou was stunned for a moment and said doubtfully.
After saying this, Professor Fefferman turned around and left the lecture theater, and quickly dragged a whiteboard back from the next classroom.
When he said the last sentence, he looked back at the students in the classroom who had not moved their buttocks from the bench even though class had already ended.
"promise?"
The response to him was naturally the applause that resounded throughout the classroom.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
"Of course." This was not something worth hiding. Lu Zhou smiled and said happily, "But I need a new whiteboard."
Although Professor Fefferman's tone did not sound like he was joking, Lu Zhou knew that he must be joking.
Sitting in the front row, the girl with long chestnut hair who was the first to ask him a question raised her hand and said enthusiastically.
"No, no, no, I'm not joking," Professor Fefferman laughed, "If you don't mind getting another PhD, I wouldn't mind studying for another PhD here."
What he didn't expect in particular was that this big boss would sit in the back row of the lecture theater.
"Professor, you said that if anyone solves this problem, you will accept him as your doctor."
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
Although Fefferman has not yet reached the last step of writing, Lu Zhou can basically confirm that his idea is not absolutely correct, but there is at least a 90% chance that it is feasible!
"A very fulfilling class... Although I may be a bit boastful when I say this. What do you think?"
There were cheers in the classroom.
If it were so easy to solve, the Clay Institute would not include it in its list of the Seven Millennium Puzzles.
Looking at the two people on the podium without blinking, the students sitting in the classroom remained silent for fear of making any noise and interrupting the thinking of the two bosses.
Although he didn't speak, he actually felt a little proud in his heart.
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
"sure… "
"Where (Δ^—1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ| square... But what I want to know is, even if you get the equation of Pμi, what's the point? I think If you don't come out... can you answer it for me?"
Wonderful...
Lu Zhou didn't look at the student who was leading the heckles. He coughed dryly and said, "You'd better stop joking."
Gradually, Lu Zhou's eyes lit up slightly as he watched Professor Fefferman's steps.
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
"Where (Δ^—1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ| square... But what I want to know is, even if you get the equation of Pμi, what's the point? I think If you don't come out... can you answer it for me?"
[Pμi:=μi—(Δ^—1)·δi·δj·μj]
"No, no, no, I'm not joking," Professor Fefferman laughed, "If you don't mind getting another PhD, I wouldn't mind studying for another PhD here."
In all of North America, there is probably no place that respects genius and knowledge more than Princeton.
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.
This may sound difficult.
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
There were cheers in the classroom.
"Where (Δ^—1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ| square... But what I want to know is, even if you get the equation of Pμi, what's the point? I think If you don't come out... can you answer it for me?"
Lu Zhou didn't look at the student who was leading the heckles. He coughed dryly and said, "You'd better stop joking."
Although Professor Fefferman's tone did not sound like he was joking, Lu Zhou knew that he must be joking.
"Professor, you said that if anyone solves this problem, you will accept him as your doctor."
It seems that even though they haven't seen each other much throughout the semester, his students still like him very much.
"The most lacking thing in Princeton is a place to write on the blackboard. I'll get one for you."
"A very fulfilling class... Although I may be a bit boastful when I say this. What do you think?"
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
The response to him was naturally the applause that resounded throughout the classroom.
"A very fulfilling class... Although I may be a bit boastful when I say this. What do you think?"
Seeing Lu Zhou's helpless expression, Fefferman coughed slightly, stopped joking, and switched to a serious tone.
"sure… "
"sure… "
Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". In the Institute for Advanced Study in Princeton, where geniuses abound, he is the only one who would make such a joke without any regard for his status.
However, a seemingly feasible idea does not even need to be very close to the exit. From the moment you embark on this idea, you can have the feeling that victory is just ahead.
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
Looking at Professor Fefferman in surprise, Lu Zhou made a gesture of invitation and gave up his seat in front of the whiteboard.
"promise?"
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
Withdrawing the marker printed on the whiteboard, Professor Fefferman carefully read the calculation he had written from beginning to end, then smiled and said softly.
But in fact it is actually very easy to do this.
Lu Zhou took back the marker in his hand and cast a questioning look at him.
Lu Zhou did not agree easily, but asked: "What request?"
Lu Zhou coughed slightly: "So, it is just a question for thinking."
Compared with the serious report meeting, the sense of accomplishment brought to him by the class is a completely different experience.
Having said this, Professor Fefferman smiled and clapped his hands and applauded.
"Well, since you don't plan to accept another doctor, I hope you can agree to my request."
There were cheers in the classroom.
"If we get Pμi: =μi-(Δ^-1)·δi·δj·μj, we can further find out... "
"About the existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equation," Professor Fefferman paused for a moment, smiled, and said in a sincere tone, "I hope to cooperate with you to solve this problem!"
Wonderful...
But in fact it is actually very easy to do this.
During this period of time, he has been busy with experiments. The research on the NS equation has actually only reached the step of "Pμi:=?". As for the next content written on the whiteboard, it was actually deduced on the spot.
Lu Zhou, who was staring at the whiteboard intently, nodded in agreement: "You are right."
A train of thought that doesn't work means you can't get out of the maze no matter how long you walk on it.
Listening to the thunderous applause, Lu Zhou smiled sheepishly.