Chapter 381: The last number lesson before Christmas

After the $ 10 million research funding was received, no one had any doubts about the project, and no one doubted whether Lu Zhou's mathematical ability could really handle those electromagnetic wave messages that looked no different from "noise".
Even the voice of the meeting was much lower.
However, this is not because of the shock brought by the tens of millions of dollars, but because there is nothing to discuss next.
The entire project design has been discussed clearly in more than a month, and complex physical details and engineering problems have also been resolved during the discussion.
The key issue now is to implement what is being discussed.
After the theoretical work came to an end, Lu Zhou suddenly found out that during the most stressful and crucial last two weeks, he had relaxed himself instead. At least until the equipment arrives, there is nothing more he needs to do.
But compared to his ease, it is suffering those engineers.
In order to avoid the interference of the confinement magnetic field of the accelerator and the confinement magnetic field of the plasma, they had to make a hole in the laboratory floor, extend the emission trajectory that allows particles to pass through, and place the "magazine" of the atomic gun farther away. Room to ...
...
Princeton Advanced Institute.
Hardy and Jericho resisted a two-person fish bone pine from the outside, and put them with the cardboard boxes in the corner of the office with lights and ribbons.
Although Lu Zhou gave them a holiday, no one seemed to plan to go back this Christmas.
At Hardy's proposal, everyone unanimously decided to decorate the office a bit more festive on Christmas Day.
Wiping off the sweat on 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 Christmas soon. Will you be with us?"
Lu Zhou, who was writing at the desk, stopped his pen, and after thinking for a moment, he answered, "It should happen without accident."
Hardy rejoiced and asked enthusiastically, "Professor, do we have Christmas gifts?"
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?
Although I don't know what it is, the expression on everyone's face is obviously looking forward to it.
Of course, some people have worried expressions on their faces.
Jericho tilted his head and watched Hardy whisper: "The gift should not be a math problem."
Hardy froze slightly. "Probably ... no."
However, this seems to be a bit like a professor can do.
Hardy, who was so excited, is a little panicked ...
He didn't care what the gift was. He stopped the pen in his hand, and Vera looked at Lu Zhou with an expression of hope on her face.
Lu Zhou smiled and nodded: "Of course."
For his students, he never favors others.
Even Hardy, who always made him feel a headache, prepared a gift for him.
Cheeks turned slightly red, and Willa said embarrassedly, "... and I have a present for you."
Hardy whistled, but was quickly held down by Qin Yue.
Throwing inquiries at the two, Lu Zhou asked.
"Any questions?"
Holding Hardy's mouth firmly, Qin Yue squeezed a smile on his face: "Nothing!"
emmm ...
Taking a skeptical look at Qin Yue, Lu Zhou always felt that the honest guy in the usual days seemed to be hiding something from him.
But it doesn't matter, anyway, Christmas is coming in two weeks.
All mysteries will be revealed that day.
...
In the last lesson before Christmas, Lu Zhou took the textbook and came to the ladder classroom for a long time.
Because of the near holiday, the classroom is full of impetuous atmosphere.
It seems that whether it is a university in the United States or China, or a mediocre student or a gifted student, the feeling of vacation is the same.
After entering the classroom, looking at the unexpected expressions in the eyes of the students, Lu Zhou was slightly embarrassed.
Ashamed to say, I was too busy this semester. It was not long before I came back from Columbia University as a visiting scholar, and I immediately set foot on the flight to Germany.
So much so that the students who chose this course at him never met him several times throughout the semester.
This is already the last lesson. Lu Zhou feels that he should still perform his duties as a professor.
Anyway, he also has time these days, and if he drags it back, maybe it will be even more empty.
"... Today's class is about the Mason primes. I will mainly talk about the distribution of Mason primes and the derivation and application of the Lu-Zhou theorem. This part is not important. You can relax and listen. Anyway, I guess you are My mind has flown to Santa. "
After hearing the students' good laughter, Lu Zhou continued to speak with his students in a chattering tone while writing the title of the course on the whiteboard with a marker.
Most of the newly revised domestic textbooks use the word Zhou's theorem to replace Zhou's guess, but after Lu Zhou came to Princeton, he found that he turned over several books on number theory, all of which used "Lu-Zhou theorem" or "Zhou- "Theorem of Lu".
Because these students have already previewed the course, and because it is the result of their own research, Lu Zhou spoke quickly, and it took less than 20 minutes to finish the entire course.
Looking at the time on his watch, Lu Zhou saw that he had a lot of time before class, and looked at his students.
"There is a little time left in this class. If you have any questions, you can ask me."
A girl with long maroon hair raised her hand immediately.
Lu Zhou nodded to her and motioned for her to ask questions.
"Professor, are you studying the ns equation?"
Regarding this unexpected problem, Lu Zhou said with a smile.
"Why ask this question?"
"A lot of people are curious," the girl asked, blinking. "We are also curious."
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 curiosity this time.
"Let's do that," Lu Zhou erased the content on the whiteboard and wrote a new line of headings. "In the second half of the class, I will talk about my personal understanding of the three-dimensional incompressible navier-stokes equation."
Revisit some basic content and be able to re-examine whether obvious problems are really obvious.
Especially when expressing abstract concepts that are not easy to express in language, Lu Zhou himself is also reviewing the thoughts generated in the research.
Standing on the podium, Lu Zhou talked heartily.
But for the students below the stage, it is not so friendly.
Even though Princeton's undergraduates are strong, many people have completed all the undergraduate content in their sophomore years, but for them, it is still difficult to fully absorb the contents of the blackboard writing on the whiteboard.
This is also for students who have an in-depth understanding of partial differential equations.
For those students who have not yet begun to learn about partial differential equations, or do not know much about it, Lu Zhou's story is almost the same as Tianshu.
For these geniuses who often ask professors.
This is really hitting people!
"... According to the above conclusions, we can obtain the overall existence of the smooth solution of the three-dimensional incompressible navier-stokes equation under limited circumstances."
"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 in the remaining time, you can think about a topic. He is not difficult, but it should be interesting."
Then, Lu Zhou raised the marker and continued to write on the whiteboard.
[Amp; amp; lt; b (, v), wamp; amp; gt;: =-1 / 2∫ {((u · ▽) v) w + (((v · ▽) u) · w} dx]
[B (, v) =-1 / 2p {(· ▽) + (v · ▽)}]
[……]
Strictly speaking, this is not a problem, but a problem in the field of partial differential equations that he encountered during the two days of studying the ns equation.
He certainly did not expect these undergraduates to give an answer, but he hoped that listening to the ideas of these students might give some inspiration to his research.
While writing on the board, Lu Zhou also explained concisely.
"Where p is the leray projection of the divergence-free vector l ... What we are asking now is the equation pi with a square integrable solution."
[... pi =? 】
After writing the last character, Lu Zhou put the marker lightly on the multimedia desk, looked at the students who were lost in the classroom, and said in a joking tone.
"If anyone of you solves this problem, I will convince Professor Fefferman on his behalf and allow him to graduate in advance and come directly to my postgraduate degree, or direct blog."
Professor Fefferman is a researcher at Pu Gao and the director of the Department of Mathematics at Princeton University. He is an old man who looks kind and greets everyone.
Although Lu Zhou said this in a joking tone, the students present obviously did not really take it as a joke.
With Professor Lu's ability, this promise can be easily achieved.
Studying for a master's degree under the "legendary" of Professor Lu, for those geniuses who are seeking to climb higher mountains mathematically, UU Reading www. uukanshu.com is still quite attractive.
There was dead silence in the stepped classroom, and everyone was thinking hard.
however……
Obviously this "question" is not so simple to be solved.
Looking at these students who were thinking, Lu Zhou planned to write down his e-mail address on the whiteboard, and left the question to the corner of the back of the staircase classroom, and suddenly raised a hand.
"... Can you use the whiteboard?"
Looking in the direction in which the hand was raised, an unexpected look appeared in Lu Zhou's eyes.
It is not unexpected that someone came up with the idea so quickly.
It was unexpectedly the identity of this person.
The man sitting in the back of the classroom was no one else. It was Professor Fefferman, the head of Princeton's mathematics department that he mentioned earlier.