All the work that should be arranged was arranged. After the dinner, Lu Zhou settled the bill first and then said goodbye to Yang Xu.
As for Vera, currently, this challenge is still too difficult for her.
All the work that should be arranged was arranged. After the dinner, Lu Zhou settled the bill first and then said goodbye to Yang Xu.
After all, the premise of being cheerful is to dare to show yourself, whether it is an academic point of view or your truest side. In the past, she had always been afraid of this.
Back at the hotel, Lu Zhou lay on the bed and checked his mailbox. He happened to receive an email from Star Technology North America Branch in Philadelphia.
Not to his surprise, Zhongshan New Materials, in which Professor Li holds shares, was also included in this list.
[Professor, how long until you come back?]
This period of time at Princeton was probably the happiest period of her life and her most cherished treasure.
Back at the hotel, Lu Zhou lay on the bed and checked his mailbox. He happened to receive an email from Star Technology North America Branch in Philadelphia.
Just after typing a line of words, Vera suddenly stopped pressing her index finger on the screen.
This period of time at Princeton was probably the happiest period of her life and her most cherished treasure.
Here she can focus all her attention on studying those profound and fascinating mathematical problems without worrying about any other issues.
Here she can focus all her attention on studying those profound and fascinating mathematical problems without worrying about any other issues.
But now it seems that I am completely alone there for my own sake.
This conclusion was proved by Professors Benge and Meinerdus in 1994. Subsequent research on the Kakutani conjecture basically revolved around this result.
Among his three current students, only Hardy has successfully obtained the dining qualification there. As agreed, Lu Zhou took out five thousand US dollars from the research funds of Kakutani's conjecture to help him pay his one-year membership fee.
The content of the email is very concise. In addition to a few concise and comprehensive sentences, there is a list posted in the attachment section. On the list, there are companies that have signed licensing agreements for patents and star trade in China, including domestic lithium battery material giant Shanshan Energy, as well as emerging materials companies such as Yanda Xianxian, a joint venture between Dongsheng Investment and Yenching University.
After she originally sent that email, she was worried about whether Lu Zhou would be angry because of her petty willfulness.
Not to his surprise, Zhongshan New Materials, in which Professor Li holds shares, was also included in this list.
Perhaps it was the little willfulness in her heart that was at work. Somehow, she, who had always been well-behaved, accidentally deleted this sentence, re-edited the email, and clicked send with some willfulness.
Not to his surprise, Zhongshan New Materials, in which Professor Li holds shares, was also included in this list.
After a long, long time, she snuggled into the bed, turned off the light and fell asleep.
[Let’s talk about it after we get back. It seems that I can look forward to returning to Princeton this time.]
[It’s coming soon, just for the next few days.]
In the past few days, she had been worried about what she would do if Lu Zhou resigned from his position as a professor at Princeton and returned to China to become a professor.
Lu Zhou, who was on the other side of the world, couldn't help but smile and shook his head after seeing this line of words.
If Lu Zhou had conducted these negotiations in person, he would have basically done nothing but talk for the past two months.
Seeing that it was a work-related email, Vera quickly shook her head to drive away those strange thoughts, poked the screen with her finger and replied.
If it can be proved that the function sequence {g(z)}∞k=1 exists a subsequence that locally uniformly converges to ∞ or an analytic function in a certain neighborhood of point z0, then we can obtain the normal point that z0 is g(z).
This little girl has also learned to tell the truth.
However, for her who is not good at expressing her inner thoughts, this can be considered a small improvement.
[I have sent copies of the relevant documents to your office at the Institute for Advanced Study in Princeton at the address you left. If you feel that there is no problem after reviewing it, please sign the document and return it to your office in Philadelphia.
Although Kakutani guessed that he planned to leave it to his students from the beginning, and he only provided methods and directional suggestions, he didn't go back for a month, and the entire burden of this task fell on the little girl alone.
If it can be proved that the function sequence {g(z)}∞k=1 exists a subsequence that locally uniformly converges to ∞ or an analytic function in a certain neighborhood of point z0, then we can obtain the normal point that z0 is g(z).
All the work that should be arranged has been arranged, and it actually doesn't matter whether he stays in the research institute or not. In this Internet era, geographical distance has very limited impact on scientific research efficiency.
Perhaps it was the little willfulness in her heart that was at work. Somehow, she, who had always been well-behaved, accidentally deleted this sentence, re-edited the email, and clicked send with some willfulness.
Sitting on the bed hugging her knees, Vera took a deep breath and buried her face in her knees.
—Good luck with your work, White Sheridan]
However, for her who is not good at expressing her inner thoughts, this can be considered a small improvement.
[I will return to Princeton in the near future, and after I return, I will send the documents back as soon as possible.]
Among his three current students, only Hardy has successfully obtained the dining qualification there. As agreed, Lu Zhou took out five thousand US dollars from the research funds of Kakutani's conjecture to help him pay his one-year membership fee.
After thinking for a while, Lu Zhou edited an email.
After thinking for a while, Lu Zhou edited an email.
[What idea?]
Although Kakutani guessed that he planned to leave it to his students from the beginning, and he only provided methods and directional suggestions, he didn't go back for a month, and the entire burden of this task fell on the little girl alone.
Not only that, she felt a concern from him that she had never felt before in the years since she came to study in the United States. When she was at Berkeley, no professor ever took the initiative to ask her if she had any difficulties at home. If she needed help, he could provide her with a teaching assistant job.
Just after typing a line of words, Vera suddenly stopped pressing her index finger on the screen.
[How is the project of hail conjecture going? Is there any new progress?]
[I will return to Princeton in the near future, and after I return, I will send the documents back as soon as possible.]
Vera, who was sitting on the bed hugging her knees and looking at the email on the phone screen, finally breathed a sigh of relief.
Lu Zhou, who was on the other side of the world, couldn't help but smile and shook his head after seeing this line of words.
[What idea?]
After clicking send, Lu Zhou threw his phone on the bed, got up and went to the bathroom.
The worries in her heart were washed away, and a smile gradually appeared on Vera's lips.
However, it was precisely because of this that this feeling made her feel confused.
In the past few days, she had been worried about what she would do if Lu Zhou resigned from his position as a professor at Princeton and returned to China to become a professor.
In the past few days, she had been worried about what she would do if Lu Zhou resigned from his position as a professor at Princeton and returned to China to become a professor.
[Not yet, but I recently discovered a new idea when studying Professor S. Eliahou’s paper. I have communicated with Qin Yue and Hardy. If this idea is feasible, it may become the key to solving the problem of inclusion between z0 and the normal point set of the transcendental integral function g(x).]
This period of time at Princeton was probably the happiest period of her life and her most cherished treasure.
After taking a shower, Lu Zhou was lying on the bed and was about to take a nap when he saw a pop-up window with a message reminder.
If it can be proved that the function sequence {g(z)}∞k=1 exists a subsequence that locally uniformly converges to ∞ or an analytic function in a certain neighborhood of point z0, then we can obtain the normal point that z0 is g(z).
After waiting for this email with anxiety, Vera breathed a sigh of relief and felt a little disappointed that Lu Zhou didn't notice her little willfulness at all.
[Professor, how long until you come back?]
[It’s coming soon, just for the next few days.]
[about…]
Among his three current students, only Hardy has successfully obtained the dining qualification there. As agreed, Lu Zhou took out five thousand US dollars from the research funds of Kakutani's conjecture to help him pay his one-year membership fee.
After taking a shower, Lu Zhou was lying on the bed and was about to take a nap when he saw a pop-up window with a message reminder.
As for Vera, currently, this challenge is still too difficult for her.
Among his three current students, only Hardy has successfully obtained the dining qualification there. As agreed, Lu Zhou took out five thousand US dollars from the research funds of Kakutani's conjecture to help him pay his one-year membership fee.
This email was from Vera.
All the work that should be arranged has been arranged, and it actually doesn't matter whether he stays in the research institute or not. In this Internet era, geographical distance has very limited impact on scientific research efficiency.
This email was from Vera.
Lu Zhou couldn't help but feel a little embarrassed when he thought that his vacation seemed to be quite long.
Back at the hotel, Lu Zhou lay on the bed and checked his mailbox. He happened to receive an email from Star Technology North America Branch in Philadelphia.
All the work that should be arranged was arranged. After the dinner, Lu Zhou settled the bill first and then said goodbye to Yang Xu.
After clicking send, Lu Zhou threw his phone on the bed, got up and went to the bathroom.
This conclusion was proved by Professors Benge and Meinerdus in 1994. Subsequent research on the Kakutani conjecture basically revolved around this result.
Although Kakutani guessed that he planned to leave it to his students from the beginning, and he only provided methods and directional suggestions, he didn't go back for a month, and the entire burden of this task fell on the little girl alone.
After taking a shower, Lu Zhou was lying on the bed and was about to take a nap when he saw a pop-up window with a message reminder.
Here she can focus all her attention on studying those profound and fascinating mathematical problems without worrying about any other issues.
At this moment, a new message popped up on her phone screen.
Feeling ashamed in his heart, Lu Zhou poked the screen with his finger, edited an email and sent it.
Sitting on the bed hugging her knees, Vera took a deep breath and buried her face in her knees.
Especially when discussing math problems with Lu Zhou, she always felt that time passed quickly. This feeling was unprecedented for her.
At this moment, a new message popped up on her phone screen.
Theoretically, these problems can be solved through the group construction method. It is difficult to say whether it is difficult, but the difficulty is certainly not much higher than the Polignac conjecture.
[It’s coming soon, just for the next few days.]
If Lu Zhou had conducted these negotiations in person, he would have basically done nothing but talk for the past two months.
Back at the hotel, Lu Zhou lay on the bed and checked his mailbox. He happened to receive an email from Star Technology North America Branch in Philadelphia.
Not only that, she felt a concern from him that she had never felt before in the years since she came to study in the United States. When she was at Berkeley, no professor ever took the initiative to ask her if she had any difficulties at home. If she needed help, he could provide her with a teaching assistant job.
Seeing that it was a work-related email, Vera quickly shook her head to drive away those strange thoughts, poked the screen with her finger and replied.
The worries in her heart were washed away, and a smile gradually appeared on Vera's lips.
Among his three current students, only Hardy has successfully obtained the dining qualification there. As agreed, Lu Zhou took out five thousand US dollars from the research funds of Kakutani's conjecture to help him pay his one-year membership fee.
[Professor, how long until you come back?]
All the work that should be arranged has been arranged, and it actually doesn't matter whether he stays in the research institute or not. In this Internet era, geographical distance has very limited impact on scientific research efficiency.
This little girl has also learned to tell the truth.
However, it was precisely because of this that this feeling made her feel confused.
However, it was precisely because of this that this feeling made her feel confused.
[Let’s talk about it after we get back. It seems that I can look forward to returning to Princeton this time.]
[Let’s talk about it after we get back. It seems that I can look forward to returning to Princeton this time.]
Theoretically, these problems can be solved through the group construction method. It is difficult to say whether it is difficult, but the difficulty is certainly not much higher than the Polignac conjecture.
Vera, who was sitting on the bed hugging her knees and looking at the email on the phone screen, finally breathed a sigh of relief.
Among his three current students, only Hardy has successfully obtained the dining qualification there. As agreed, Lu Zhou took out five thousand US dollars from the research funds of Kakutani's conjecture to help him pay his one-year membership fee.
Lu Zhou couldn't help but feel a little embarrassed when he thought that his vacation seemed to be quite long.
Feeling ashamed in his heart, Lu Zhou poked the screen with his finger, edited an email and sent it.
Although Kakutani guessed that he planned to leave it to his students from the beginning, and he only provided methods and directional suggestions, he didn't go back for a month, and the entire burden of this task fell on the little girl alone.
This email was from Vera.
After clicking send, Lu Zhou threw his phone on the bed, got up and went to the bathroom.
In the past few days, she had been worried about what she would do if Lu Zhou resigned from his position as a professor at Princeton and returned to China to become a professor.
After all, the premise of being cheerful is to dare to show yourself, whether it is an academic point of view or your truest side. In the past, she had always been afraid of this.
Perhaps it was the little willfulness in her heart that was at work. Somehow, she, who had always been well-behaved, accidentally deleted this sentence, re-edited the email, and clicked send with some willfulness.
Seeing that it was a work-related email, Vera quickly shook her head to drive away those strange thoughts, poked the screen with her finger and replied.
Not only that, she felt a concern from him that she had never felt before in the years since she came to study in the United States. When she was at Berkeley, no professor ever took the initiative to ask her if she had any difficulties at home. If she needed help, he could provide her with a teaching assistant job.
[I will return to Princeton in the near future, and after I return, I will send the documents back as soon as possible.]
[I have sent copies of the relevant documents to your office at the Institute for Advanced Study in Princeton at the address you left. If you feel that there is no problem after reviewing it, please sign the document and return it to your office in Philadelphia.
But now it seems that her worries are unnecessary.
[Not yet, but I recently discovered a new idea when studying Professor S. Eliahou’s paper. I have communicated with Qin Yue and Hardy. If this idea is feasible, it may become the key to solving the problem of inclusion between z0 and the normal point set of the transcendental integral function g(x).]
Not to his surprise, Zhongshan New Materials, in which Professor Li holds shares, was also included in this list.
Theoretically, these problems can be solved through the group construction method. It is difficult to say whether it is difficult, but the difficulty is certainly not much higher than the Polignac conjecture.
His eyebrows were raised slightly, a look of interest appeared on Lu Zhou's face, and he typed a question.
However, it was precisely because of this that this feeling made her feel confused.
The worries in her heart were washed away, and a smile gradually appeared on Vera's lips.
However, it was precisely because of this that this feeling made her feel confused.
As for Vera, currently, this challenge is still too difficult for her.
After editing an email, Lu Zhou smiled and pressed the send button.
A long time ago, in Ukraine, she was a strange child in the eyes of her peers. No one could understand the meaning of the strange symbols she thought about.
After she originally sent that email, she was worried about whether Lu Zhou would be angry because of her petty willfulness.
[It’s coming soon, just for the next few days.]
After waiting for this email with anxiety, Vera breathed a sigh of relief and felt a little disappointed that Lu Zhou didn't notice her little willfulness at all.
As for Vera, currently, this challenge is still too difficult for her.
A long time ago, in Ukraine, she was a strange child in the eyes of her peers. No one could understand the meaning of the strange symbols she thought about.
In the research framework Lu Zhou formulated for his students, let g(z) be a transcendental integral function, z0 be a point in the complex plane, and Φ(g) be the set of normal points of g(z).
Especially when discussing math problems with Lu Zhou, she always felt that time passed quickly. This feeling was unprecedented for her.
This period of time at Princeton was probably the happiest period of her life and her most cherished treasure.
Theoretically, these problems can be solved through the group construction method. It is difficult to say whether it is difficult, but the difficulty is certainly not much higher than the Polignac conjecture.
Theoretically, these problems can be solved through the group construction method. It is difficult to say whether it is difficult, but the difficulty is certainly not much higher than the Polignac conjecture.
After all, the premise of being cheerful is to dare to show yourself, whether it is an academic point of view or your truest side. In the past, she had always been afraid of this.
All the work that should be arranged was arranged. After the dinner, Lu Zhou settled the bill first and then said goodbye to Yang Xu.
Feeling ashamed in his heart, Lu Zhou poked the screen with his finger, edited an email and sent it.
After a long, long time, she snuggled into the bed, turned off the light and fell asleep.
Here she can focus all her attention on studying those profound and fascinating mathematical problems without worrying about any other issues.
[Professor, how long until you come back?]
Although Hardy always complained that Professor Lu was too enthusiastic and put him under pressure outside of work, Vera, who had never experienced such concern, still enjoyed the feeling of being cared for.
But now it seems that I am completely alone there for my own sake.
As for Qin Yue, he is still working hard on his speaking and expression skills, preparing to "challenge the free meal".
Although Hardy always complained that Professor Lu was too enthusiastic and put him under pressure outside of work, Vera, who had never experienced such concern, still enjoyed the feeling of being cared for.
In the future, Lu Zhou will consider introducing the Ivy Club to her.
All the work that should be arranged was arranged. After the dinner, Lu Zhou settled the bill first and then said goodbye to Yang Xu.
At this moment, a new message popped up on her phone screen.
Especially when discussing math problems with Lu Zhou, she always felt that time passed quickly. This feeling was unprecedented for her.
If Lu Zhou had conducted these negotiations in person, he would have basically done nothing but talk for the past two months.
Not only that, she felt a concern from him that she had never felt before in the years since she came to study in the United States. When she was at Berkeley, no professor ever took the initiative to ask her if she had any difficulties at home. If she needed help, he could provide her with a teaching assistant job.
But now it seems that I am completely alone there for my own sake.
[Not yet, but I recently discovered a new idea when studying Professor S. Eliahou’s paper. I have communicated with Qin Yue and Hardy. If this idea is feasible, it may become the key to solving the problem of inclusion between z0 and the normal point set of the transcendental integral function g(x).]
Although Hardy always complained that Professor Lu was too enthusiastic and put him under pressure outside of work, Vera, who had never experienced such concern, still enjoyed the feeling of being cared for.
The worries in her heart were washed away, and a smile gradually appeared on Vera's lips.
But now it seems that her worries are unnecessary.
Not only that, she felt a concern from him that she had never felt before in the years since she came to study in the United States. When she was at Berkeley, no professor ever took the initiative to ask her if she had any difficulties at home. If she needed help, he could provide her with a teaching assistant job.
At this moment, a new message popped up on her phone screen.
This email was from Vera.
As for Qin Yue, he is still working hard on his speaking and expression skills, preparing to "challenge the free meal".
Feeling ashamed in his heart, Lu Zhou poked the screen with his finger, edited an email and sent it.
[It’s coming soon, just for the next few days.]
After a long, long time, she snuggled into the bed, turned off the light and fell asleep.
Perhaps it was the little willfulness in her heart that was at work. Somehow, she, who had always been well-behaved, accidentally deleted this sentence, re-edited the email, and clicked send with some willfulness.
A long time ago, in Ukraine, she was a strange child in the eyes of her peers. No one could understand the meaning of the strange symbols she thought about.
Although Hardy always complained that Professor Lu was too enthusiastic and put him under pressure outside of work, Vera, who had never experienced such concern, still enjoyed the feeling of being cared for.
Not to his surprise, Zhongshan New Materials, in which Professor Li holds shares, was also included in this list.
After all, the premise of being cheerful is to dare to show yourself, whether it is an academic point of view or your truest side. In the past, she had always been afraid of this.
However, it was precisely because of this that this feeling made her feel confused.
But now it seems that her worries are unnecessary.
Although Hardy always complained that Professor Lu was too enthusiastic and put him under pressure outside of work, Vera, who had never experienced such concern, still enjoyed the feeling of being cared for.
Theoretically, these problems can be solved through the group construction method. It is difficult to say whether it is difficult, but the difficulty is certainly not much higher than the Polignac conjecture.
Perhaps it was the little willfulness in her heart that was at work. Somehow, she, who had always been well-behaved, accidentally deleted this sentence, re-edited the email, and clicked send with some willfulness.
The worries in her heart were washed away, and a smile gradually appeared on Vera's lips.
Back at the hotel, Lu Zhou lay on the bed and checked his mailbox. He happened to receive an email from Star Technology North America Branch in Philadelphia.
But now it seems that her worries are unnecessary.
At this moment, a new message popped up on her phone screen.
Although Kakutani guessed that he planned to leave it to his students from the beginning, and he only provided methods and directional suggestions, he didn't go back for a month, and the entire burden of this task fell on the little girl alone.
The Kakutani conjecture is equivalent to the functional equation h(z^3)=h(z^6)+{h(z^2)+λh(λz^2)+λ^2h(λ^2z^2)}/3z] (where λ=e^{2πi/3}) The analytic function solution in the unit disk {z: |z|