After the $10 million research grant arrived, no one had any doubts about the project, and no one doubted whether Lu Zhou's mathematical abilities could really handle electromagnetic messages that seemed to be indistinguishable from "noise".

Even the meeting was much quieter.

However, this is not because of the shock of the tens of millions of dollars, but because there is nothing to discuss next.

The entire engineering design scheme has been discussed clearly in more than a month, and the complex physical details and engineering problems have also been solved in the discussion.

The most critical issue now is to implement what has been discussed.

After the theoretical work came to an end, Lu Zhou suddenly unexpectedly found that in the last two weeks of the most intense and critical week, he was relieved. At least until the equipment arrives, there is nothing more for him to do.

But compared to his ease, it was a pain for the engineers.

In order to avoid the accelerator confinement magnetic field from interfering with the confined magnetic field of the plasma, they had to make a hole in the laboratory wall, extend the emission trajectory that allowed particles to pass through, and place the atomgun "magazine" further away......

……

Institute for Advanced Study in Princeton.

Hardy and Jericho brought in a two-man-tall fishbone pine from the outside, which was placed with the cardboard boxes with lights and streamers in the corner of the office.

Although Lu Zhou gave them a holiday, no one seemed to plan to go back this Christmas.

At Hardy's suggestion, everyone unanimously decided to decorate the office a little more festive on Christmas Day.

Wiping the sweat from his forehead, Hardy straightened his waist, and suddenly found that Lu Zhou, who rarely appeared in the office recently, was actually here today, so he said hello.

"Professor, it's almost Christmas, will you spend it with us?"

Lu Zhou, who was writing at the desk, stopped the pen in his hand, and after thinking for a while, he replied: "If nothing else, it should be." ”

Hardy looked happy and immediately asked enthusiastically, "Professor, do we have a Christmas present?" ”

Lu Zhou smiled: "Of course, I will prepare a special Christmas gift for all of you." ”

There was a commotion in the office.

Lu Zhou actually prepared Christmas gifts for them?

I didn't know what it was, but the expressions on everyone's faces were clearly expectant.

Of course, there are also people who have worried expressions on their faces.

Jericho tilted his head, looked at Hardy and whispered, "The gift shouldn't be a math problem." ”

Hardy was slightly stunned: "Probably...... No way. ”

Still, it seems a bit like what a professor can do.

Hardy, who was originally very excited, is now a little panicked......

I didn't care what the gift was, she stopped the pen in her hand, and Vera looked at Lu Zhou with a look of expectation: "Do I have it too?" ”

Lu Zhou smiled and nodded: "Of course." ”

He would never favor one over the other for his students.

Even Hardy, who always gave him a headache, he prepared a gift for him.

With a slight redness on her cheeks, Vera said embarrassedly, "...... I have also prepared a gift for you. ”

Hardy whistled, but was quickly held down by Qin Yue.

Casting an inquiring glance at the two, Lu Zhou asked.

"Any questions?"

Holding Hadi's mouth to death, Qin Yue squeezed out a smile on his face: "It's nothing!" ”

emmm……

Glancing at Qin Yue suspiciously, Lu Zhou always felt that this honest guy who was usually wooden seemed to be hiding something from him.

But it doesn't matter, Christmas is coming in two weeks anyway.

All the mysteries will be revealed on that day.

……

In the last class before Christmas, Lu Zhou took his textbook and came to the lecture hall after a long absence.

Because the holidays are approaching, the classroom is full of impetuous atmosphere.

It seems that whether it is a university in the United States or China, whether it is a mediocre or a gifted student, the feeling of the holiday is the same.

After walking into the classroom, looking at the surprised expressions in the students' eyes, Lu Zhou was slightly embarrassed.

I'm ashamed to say that I have been too busy this semester, and not long after I returned from visiting studies at Columbia University, I immediately stepped on a flight to Germany.

So much so that the students who took this course for him did not meet him a few times throughout the semester.

This is already the last class, and Lu Zhou feels that he should still fulfill his duties as a professor.

Anyway, he has time these days, and if he drags it out any longer, he may be even less free.

“…… Today's course is about Mersenne primes, and I will mainly talk about the distribution law of Mersenne primes and the derivation and application of the land-week theorem. This part isn't the point, you can listen a little more relaxed, anyway, I guess your mind is already flying to Santa Claus right now. ”

Hearing the good-natured laughter of the students, Lu Zhou wrote the title of the lesson on the whiteboard with a marker pen while continuing to talk to his students in a casual tone.

Most of the newly revised domestic textbooks use the term Zhou's theorem to replace Zhou's guesses, but after Lu Zhou came to Princeton, he found that he had flipped through several number theory textbooks, all of which were described with "Lu-Zhou theorem" or "Zhou-Lu theorem".

Because these students had already pre-studied, and because this was their own research results, Lu Zhou spoke quickly, and it took less than twenty minutes to finish the entire content of the course.

Glancing at the time on his watch, Lu Zhou saw that there was still a lot of time before the end of class, so he looked at his students and said.

"There's still a little time left in this class, if you have any questions, you can ask me."

A girl with long maroon hair immediately raised her hand.

Lu Zhou nodded to her, motioning for her to get up and ask questions.

"Professor, are you working on the NS equation?"

For this unexpected question, Lu Zhou smiled and said.

"Why do you ask this?"

"A lot of people are curious," the girl asked, blinking, "We're curious too." ”

Lu Zhou glanced around the classroom.

"Are you curious?"

About a third of the people in the classroom nodded.

Lu Zhou asked repeatedly: "Really?" ”

Perhaps because of the mysterious smile on his face, almost all the students nodded curiously this time.

"That's okay," Lu Zhou erased the content on the whiteboard and wrote a new line of heading, "In the second half of the class, I will talk about my personal understanding of the three-dimensional incompressible Navier-Stokes equation." ”

Revisiting some of the basics is a way to re-examine whether the obvious issues are really obvious.

In particular, while expressing those abstract concepts that are not easy to express in words, Lu Zhou himself is also reviewing the thoughts generated in the research.

Standing on the podium, Lu Zhou spoke heartily.

However, for the students in the audience, it is not so friendly.

Even though Princeton's undergraduates are strong, and many of them have completed all the undergraduate content in their sophomore year, it is difficult for them to fully absorb the content of the whiteboard board.

This is also for those students who have an in-depth understanding of partial differential equations.

For those students who have not yet begun to learn partial differential equations, or who do not have a deep understanding, what Lu Zhou talks about is almost the same as that of Tianshu.

For these geniuses who can often ask professors to stop.

It's really devastating!

“…… Based on the above conclusions, we can obtain the overall existence of smooth solutions of the three-dimensional incompressible Navier-Stokes equations in a finite case. ”

"Further research is needed on how to generalize this conclusion to a more general conclusion."

"In order to deepen your understanding, I hope that for the rest of the time you will be able to think about a topic. He's not hard, but it should be fun. ”

As he spoke, Lu Zhou picked up the marker and continued to write on the whiteboard.

【<B（μ，v），>：=-1/2∫R³{（（u·▽）v）+（（（v·▽）u）·} dx】

【B（μ，v）=-1/2P{（μ·▽）μ+（v·▽）μ}】

【……】

Strictly speaking, this is not a topic, but a problem in the field of partial differential equations that he encountered in the past two days while studying the NS equation.

Of course, he didn't expect the undergraduates to give an answer, but he hoped that listening to their thoughts might shed some light on his research.

While writing on the board, Lu Zhou made a concise explanation at the same time.

"where P is the Leray projection of the divergence-free vector L...... What we are asking for now is an equation Pμi with a square product solution. ”

【…… Pμi=？ 】

Writing down the last character, Lu Zhou gently placed the marker on the multimedia lectern, looked at the students in the classroom who were lost in thought, and said in a joking tone.

"If any of you solve this problem, I will convince Professor Feverman for him to allow him to graduate early and come directly to me for a master's degree, or a straight doctorate."

Professor Feverman, a fellow at the High School and chair of the mathematics department at Princeton University, is a kind-eyed old man who welcomes everyone with a smile.

Although Lu Zhou said this in a joking tone, the students present obviously didn't really take it as a joke.

With Professor Lu's ability, this promise can still be easily achieved.

Pursuing a master's degree under the "legendary" Professor Lu is still quite attractive to these geniuses who seek to climb higher mountains in mathematics.

There was a dead silence in the lecture hall, and everyone was racking their brains to think.

However......

Obviously, this "question" is not so simple to do.

Looking at these students who were stuck in thought, just as Lu Zhou was about to write his email address on the whiteboard and leave this question for the end of class, a hand suddenly raised in the corner of the back row of the lecture hall.

“…… Can I use a whiteboard? ”

Looking in the direction of the hand raised, a look of surprise appeared in Lu Zhou's eyes.

It's not surprising that someone had an idea so quickly.

Rather, it was unexpected by the identity of this person.

The brother sitting in the back of the room was none other than Professor Feverman, the chair of the mathematics department at Princeton University, whom he had spoken of earlier.