After the US $10 million research funding was received, no one had any doubts about the project anymore. No one doubted whether Lu Zhou's mathematical abilities could really deal with the electromagnetic wave information that seemed to be no different from "noise".
Even the sound of the meeting was quieter.
However, this wasn't because of the US $10 million, it was because there was nothing else to discuss.
The entire engineering design plan had been discussed very clearly over the past month. The complex physical details and engineering problems had also been solved during the discussion.
The most important thing now was to implement the ideas that were discussed.
After Lu Zhou's theoretical work came to an end, he suddenly found out that the last two weeks were very stressful and critical. He actually relaxed a lot. At least until the equipment arrived, there was nothing else for him to do.
However, compared to his relaxed mood, the engineers were having a hard time.
In order to prevent the magnetic field of the accelerator and the magnetic field of the plasma from interfering with each other, they had to drill a hole in the laboratory wall and extend the emission trajectory for the particles. They also had to move the "cartridge" of the atomic gun further away …
…
Princeton Institute for Advanced Study.
Hardy and Jerick brought in a fish bone pine that was as tall as two people and placed it together with the cardboard boxes of lights and ribbons in the corner of the office.
Even though Lu Zhou gave them a holiday, it seemed like no one planned on going back this Christmas.
Under Hardy's suggestion, everyone unanimously decided to decorate the office with a more festive atmosphere on Christmas Day.
Hardy wiped the sweat from his forehead and straightened his back. He suddenly realized that Lu Zhou, who rarely showed up in the office, was here today, so he greeted him.
Therefore, he greeted him and asked, "Professor, it's almost Christmas, will you be spending it with us?"
Lu Zhou, who was writing on his desk, put down his pen and thought for a bit. He then said, "Most likely."
Hadi was ecstatic, and he immediately asked enthusiastically, "Then, Professor, do we have Christmas gifts?"
Lu Zhou smiled and said, "Of course, I will prepare a special Christmas gift for all of you."
There was a commotion in the office.
Lu Zhou actually prepared a Christmas gift for us?
Although they didn't know what it was, everyone was obviously looking forward to it.
Of course, there were also people with worried expressions on their faces.
Jerick tilted his head, looked at Hadi, and said, "The gift isn't a math problem, right?"
Hadi was slightly taken aback. "Probably … not."
However, this did seem like something a professor would do.
Hadi, who was originally very excited, was now a little panicked …
She didn't care what the gift was. Putting down the pen in her hand, Vera looked at Lu Zhou expectantly, "Do I have one too?"
Lu Zhou smiled and nodded. "Of course."
Towards his students, he would never favor one over the other.
Even Hadi, who always gave him headaches, had prepared a gift for him.
Vera blushed and said, "I also prepared a gift for you."
Hadi whistled, but he was quickly stopped by Qin Yue.
Lu Zhou looked at the two and asked, "Is there a problem?"
"Is there a problem?"
Qin Yue covered Hadi's mouth and forced a smile as he said, "Nothing!"
Emm …
Lu Zhou looked at Qin Yue suspiciously. He felt like Qin Yue was hiding something from him.
But it didn't matter, Christmas was coming in two weeks anyway.
All the mysteries would be revealed on Christmas Day.
…
It was the last class before Christmas. Lu Zhou took his textbook and walked into the lecture hall.
Because the holidays were approaching, the classroom was filled with a restless atmosphere.
It seemed like whether it was in the United States or China, whether it was an average or a genius student, they all felt the same about the holidays.
When Lu Zhou walked into the classroom, he looked at the surprised expressions in the students' eyes and felt a little embarrassed.
Lu Zhou was too busy this semester. He had just returned from Columbia University as a visiting scholar, and he was already on a flight to Germany.
As a result, the students who had chosen this course because of him had only seen him a few times in the entire semester.
This was the last class, so Lu Zhou felt like he should fulfill his duties as a professor.
Anyway, he had time in the next few days. If he delayed any longer, he might not have time.
"… Today's class is about Mersenne primes. I will mainly talk about the distribution of Mersenne primes and the derivation and application of the Lu Zhou theorem. This part isn't the main point, so you guys can relax. Anyway, I'm guessing your mind is on Santa Claus. "
When Lu Zhou heard the students' friendly laughter, he wrote down the title of the course on the whiteboard with a marker. He then continued to talk to his students.
Most of the newly revised textbooks in China used the term Zhou's theorem to replace Zhou's conjecture. However, after Lu Zhou came to Princeton, he discovered that several number theory textbooks used the term "Lu Zhou theorem" or "Zhou Lu theorem" to describe it.
Because the students had already prepared the course, and because this was the result of his own research, Lu Zhou spoke very quickly. It took him less than 20 minutes to finish the entire course.
Lu Zhou looked at the time on his watch and saw that there was still a lot of time before the class ended. He looked at his students and spoke.
"There is still a bit of time left in this class. If you have any questions, you can ask me."
A girl with long chestnut-colored hair immediately raised her hand.
Lu Zhou nodded at her, indicating that she could stand up and ask questions.
"Professor, are you researching the Navier – Stokes equation?"
Lu Zhou smiled at this unexpected question.
"Why do you ask?"
"A lot of people are curious." The girl blinked and said, "We're also curious."
Lu Zhou looked around the classroom.
"Are you guys curious?"
One-third of the students in the classroom nodded.
Lu Zhou asked again, "Really?"
Perhaps it was because of the mysterious smile on his face, almost all of the students nodded curiously this time.
"Okay then," Lu Zhou said. He erased the content on the whiteboard and wrote a new title. He then said, "In the second half of the class, I'll talk about my personal understanding of the three-dimensional incompressible Navier-Stokes equation."
By reviewing some of the basic content, one could re-examine the obvious problems.
Especially when it came to abstract concepts that were not easy to express in words, Lu Zhou was also reflecting on his research.
Lu Zhou stood on the podium and spoke to his heart's content.
However, for the students in the audience, it was not so friendly.
Even though Princeton undergraduate students were very strong, and many of them had completed all of the undergraduate content in their second year, it was still difficult for them to completely understand the content on the whiteboard.
This was only for students who had a deep understanding of partial differential equations.
For students who hadn't started learning partial differential equations or didn't have a deep understanding of partial differential equations, Lu Zhou's words were like a book from heaven.
For these geniuses who could often baffle their professors …
This was too much of a blow to their confidence!
"… According to the above conclusion, we can prove the existence of a smooth solution to the three-dimensional incompressible Navier-Stokes equation in a finite case.
"As for how to generalize this conclusion to a more general conclusion, further research is needed.
"In order to deepen your understanding, I hope that you can think about a question in the remaining time. It's not difficult, but it should be interesting. "
Lu Zhou picked up the marker and continued to write on the whiteboard.
[ : = Strictly speaking, this wasn't a question. It was a partial differential equation problem that he encountered while researching the Navier – Stokes equation.
Of course, he didn't expect these undergraduate students to be able to give him an answer. However, he wanted to listen to these students' ideas. Maybe it would give him some inspiration.
As Lu Zhou wrote on the whiteboard, he gave a concise explanation.
"Where P is the Leray projection of the non-divergence vector L … What we are asking for is the equation Pμi with a square-integrable solution."
[… Pμi =?]
Lu Zhou wrote down the last character and gently placed the marker on the multimedia desk. He looked at the students in the classroom and spoke in a joking tone.
"If any of you can solve this problem, I will help you convince Professor Fefferman to allow you to graduate early. You can come directly to me for a master's or PhD."
Professor Fefferman was a researcher at the Princeton Institute of Technology. He was also the head of the mathematics department at Princeton University. He was a kind-looking old man who smiled at everyone.
Although Lu Zhou said this in a joking tone, the students in the classroom obviously didn't take it as a joke.
With Professor Lu's abilities, he could easily make a promise like this.
Studying for a master's degree under the "legendary" Professor Lu was quite attractive for these geniuses who wanted to climb higher in mathematics.
The lecture hall fell into a deathly silence. Everyone was racking their brains, trying to come up with a solution.
However …
Obviously, this "problem" wasn't that easy to solve.
Lu Zhou looked at the students who were deep in thought. He was about to write down his email address on the whiteboard and leave this problem for after class. Suddenly, a hand was raised in the back corner of the lecture hall.
"… Can I use the whiteboard?"
Lu Zhou looked in the direction of the hand, and there was a look of surprise in his eyes.
He wasn't surprised that someone had an idea so quickly.
He was surprised by the identity of this person.
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