God's Crown

As for whether it is wonderful or not, no one knows.Anyway, they couldn't make it, and An Yan didn't seem to be able to make it either.So this matter, in fact, neither side has done it, so Rick thinks he can do it faster than An Yan.He inquired at Stanford University.

To be precise, he inquired with his professor, that guy An Yan was a student with Professor Hudson, and he was a direct doctor.He has five years to work on two dissertation projects.It can be said that his current subject is one of his phased subjects.

Rick thought he was sure, yes, sure.He can very confidently complete this subject before An Yan.

There are so many of them, but An Yan is only himself. It is said that he is still dazed by the Fourier series.They have figured out the Fourier series, and started marching towards new things, so their chances are much greater than An Yan.And An Yan—it was simply impossible to compare with them.

…………

Sun, shade, and breeze.An Yan sat casually on the grass of the Stanford University campus, approaching with a copy of Dipanto in his hand.

It has been almost a month since I came to Stanford University, and it should have started to get cold in Huaguo.An Yan raised her head, looked at the bright sunshine, and smiled.During this period of time, he had less and less contact with Gu Weize, and Gu Weize seemed to be busy.

He will have an exam at the beginning of next year, and after the exam, there will be an interview... Gu Weize is also quite busy.As An Yan thought about it, he put the book in his hand aside.During this time, whenever he went to the library, Kai and Shinya would be by his side.Sometimes he couldn't figure it out, could it be that by his side, this guy could be better at doing mathematics?With this kind of doubt, An Yan especially wanted to ask Kai and Shinya, but after thinking about it, he decided to forget it.That guy, no matter how much he asks, he can't say anything, so it's better not to say anything, not to ask anything.

Today's weather is fine, he thought he had nothing to do, why not just read a book on the lawn for a while.There is a huge tree above his head, he enjoys the breeze, and the sunlight dapples his books through the cracks.This is really a pleasant time, An Yan thought in her heart.

It's been a long time since I read a book so comfortably, and the air here is still fresh.He was flipping through the book, occasionally raising his head to look at the pedestrians on both sides.

Stanford students are not surprised by An Yan's behavior, and most Stanford students have heard of it.That Professor Hudson from the Department of Physics has accepted another student, a student from Huaguo.It is said that it only took two years to graduate from the University of Zurich, and Professor Hudson is a direct doctor.

Skip the postgraduate stage and go straight to PhD graduation.

Of course, even for a strong person, it takes five years to graduate from Stanford University.Unless, you can win a Fields Medal or a Nobel Prize.And a second-level, but academically prestigious award, otherwise, if you want to graduate, don't even think about it.

In fact, the Dipanto approximation has nothing to do with the gauge field theory he needs to do.But in this pleasant time, of course he also wanted to take a break.He is not a learning machine that only knows how to learn. He also has his own ideas and wants to rest.Still, learning is a lot of fun, especially when it comes to subjects that seem very difficult.In particular, An Yan was very interested. You can use this to describe An Yan—study is his interest, and his rest is also related to study.

I read this book for a while with Dipanto approximation. Dipanto approximation is a branch of number theory.The research is the approximation of rational numbers. Recently, he received another invitation letter from Princeton.The invitation letter this time is to invite him to give a 45-minute academic report at the mathematics conference of Princeton University.

As for the topic of the academic report meeting, he needs to formulate it himself.

He's a natural, and Professor Hudson is almost a stocking model.He can go wherever he wants. Professor Hudson has only two requirements—the first is to make the transition between the Hilbert space and the Angler space within two years, and the second is to make a field theory.As for what field theory he wants to do, whether experiments are needed, etc., it is up to An Yan himself.

In other words, An Yan can do whatever he wants.If you have any questions that you don't understand, you can ask Professor Hudson directly.If he has no problem, just do the thesis yourself and don't need to worry about what Professor Hudson will think.

I'm afraid that Professor Hudson would not have any opinion on An Yan's actions. When he first met Professor Hudson, Professor Hudson had already made it clear that he would not ask what An Yan did.Students like An Yan usually have their own ideas, and this idea is still very unbelievable, even shocking.

For example, when An Yan proposed the idea of ​​solving NP-complete problems, the first thing Professor Hudson heard was that his students must be crazy.

Don't solve the twin prime number conjecture to be very close to the NP-complete problem. On the contrary, solving the twin prime number conjecture is just a mathematical problem faced by his students.But what is the NP-complete problem? That is a worldwide problem of the century.

An Yan received the invitation, which was sent directly to his mailbox by Princeton University.When I saw this email, it was three days ago, and there was still one day before his project had to be reported.He didn't even think about what topic to choose, and touched the Dipanto approach beside him.

Well, that's good.An Yan frowned slightly. Since he was watching Dipanto's approximation, this time his academic report will be a reasonable approximation.

Smiling, he folded his hands in front of his knees and looked into the distance.Whether it's the clouds floating in the sky or the pedestrians on the side of the road, in An Yan's eyes, they are all very cute.It's very close to Silicon Valley, but it's rare that it's very quiet, for An Yan.Every day in the library and dormitory, no one disturbs him.

Except for the occasional Kai and Shinya being a little guilty, there seems to be nothing to be angry about.

Kai and Shinya are probably his only friends in this school, right?No, he didn't have any friends at the University of Zurich except Professor Benson's doctoral student and assistant Roger.Of course, Chen Tao and Liu Song are high school classmates, not new friends.

By all accounts, making friends in college is a very pleasant thing.Maybe a certain friend is the way out in the future, but compared to making friends, An Yan still prefers to do research.

How good is the research, those calculation formulas, those thinking about it, isn't it good?Why even make friends?Instead of spending so much time making friends, it's better to just do projects.

Although I didn't make friends, I really learned something, and even solved the problem.What else is there to be dissatisfied with?

If it wasn't for Kai and Shinya, he would be too familiar with him.Maybe An Yan felt that he might not be able to become friends with Kai and Shinya. Why didn't he find out before that this guy... is a sophomore boy.No, it should be a patient with severe secondary symptoms.

Listen to his catchphrase - "Mathematics, you big boss, accept my anger!"

Very manga style, no, this can be said to be 100% manga style.If a manga artist from Neon Country were to draw Kai and Shinya's manga, An Yan could already imagine the full-fledged style of the two-style painting.

Forget it, the guy still hasn't appeared today, so don't think about that guy.If that guy shows up, maybe he will be full of secondary school style again.Standing up and patting the dust off her body, An Yan approached the book with Dipanto and walked towards the library.I heard that from now on, Kai and Shinya seem to be different from their fellow countrymen, but they are not seniors from the Neon Country.

Well, it just so happens that he can study the Dipanto approach quietly in the library alone. By the way, he will go back and get out the computer first, and report his own project.An Yan thought for a while, because the invitation time this time was a little short, which caught him off guard.He didn't prepare any subjects at all.

So he only uploaded the topic of an academic report. As for the research, he definitely needs to do the research before going to the academic report.After all, it was a 45-minute academic report. At his age, being invited to give a half-hour academic report was already beyond the reach of academic gods, let alone a 45-minute academic report.

Generally speaking, well-known professors of Peking University are invited by Princeton University to give a 45-minute academic report.

This Princeton academic conference can also be called the annual meeting of Princeton. Usually, on Christmas Eve, Princeton University will hold such a mathematical conference.Sort out the contributions made in mathematics in the past year and the expectations for next year, as well as the most important event - the academic report meeting of well-known scholars.

The whole nature is actually similar to that of the International Conference of Mathematicians, except that no rewards are issued.

However, the Princeton Mathematics Conference held jointly by the Princeton Institute for Advanced Study with the academic reputation of Princeton University still attracted many well-known scholars from all over the world to attend.

An Yan is quite well-known in the field of number theory.

It is impossible for him to talk about other things now, and he has been working on Hilbert space before.And now he is invited to a mathematics conference, which is still a world-renowned academic conference.Naturally, he had to put up all his energy to deal with this matter, and he couldn't just say something casually to fool the past.

What a joke, mathematics is the most logical and rational.

How could he scribble some weird stuff at an academic conference held in Princeton?Is this fatal?Or does he not want his academic reputation at all?Isn't it a pity that some academic reputation has been ruined after so much effort?Of course it is a pity.

An Yan didn't want to ruin her future because of this incident.This is not a trivial matter. After returning to the dormitory, he took the computer and came to the library.Putting down the computer and looking at the email sent to him by Princeton University, he frowned and thought for a while before sending the topic of his academic report.

【Rational approximation of operators of any order—singular scaling equation①】

After sending it, An Yan turned off the computer.Open the diopantu directly, approach it, and look again.

He needs to make an equation about the approximation of rational numbers, which is still somewhat difficult.Holding a pen and paper, An Yan kept writing and drawing aimlessly on the draft paper.

After a while, a person sat down beside him.When he looked back, he froze for a moment.

This guy - didn't he hang out with his senior brother?Why did you appear by your side again?Kai and Shinya lay on the desk and said, "I knew you must be here." He sighed and said, "I originally wanted to hang out with senior, but I didn't know that senior had already left."

"so?"

"I heard that I went out to play with my girlfriend, I'd better continue reading."

"Eh?" Kai and Shinmin wondered, "Why are you looking at the Dipanto approximation? I think you've been studying functions recently, haven't you?"

"Oh." An Yan raised his brows, and turned his gaze from Kai and Shinya back to the book, "I just saw the invitation letter from Princeton University yesterday, inviting me to attend the academic report meeting and give a 45-minute academic report."

"Wow..." Both Kai and Shinya's throats rolled twice, "Is this the treatment for graduate students? A 45-minute academic report meeting."

"What kind of postgraduate treatment is that?" An Yan said dumbfounded, "Forget it, you don't understand now, but you will understand in the future."

"Honestly, did you go through the back door?" Kai and Shinya winked at An Yan, then lowered their voice and said, "How do you get in here? Can I do it too?"

"What are you thinking about?" An Yan sighed, "Do you know what the Princeton academic conference is?"

"Princeton annual conference? Every year before Christmas, Princeton holds an academic conference to discuss and exchange this year's academic achievements."

"So you think this thing can be operated in secret?" An Yan really couldn't understand what Kai and Shinya were thinking.If this thing dares to operate in secret, Princeton's academic reputation will really be notorious.However, he did not expect that he would really be able to receive an invitation letter from Princeton University.

"Ah..." Kaiwa Shinya scratched his head and said, "But why did you receive an invitation letter from Princeton University? It was still a 45-minute academic report meeting."

He and An Yan can be regarded as friends, but apart from the fact that An Yan, who studies physics, seems to be better at mathematics than him, there seems to be nothing special about it, right?

In the impression of Kai and Shinya, the real boss, or in other words, the real strong is very proud.Just like when he was in the neon country, he was also very proud.

What really shattered his arrogance were the Chinese people in the IMO competition. In retrospect, those Chinese people were not even human beings.It is a group of animals, especially one of them, who entered Princeton University with full marks.You must know that Princeton University hardly recruits students from Asia. He was invited to study at Princeton University.

What is that man's name?Anyway, he remembered how cruel that guy was, and the last number theory question was already close to conjecture.Everyone was stumped by that question. It can be said that the participants in the IMO competition are all elite representatives from various countries.But the difficulty of that question was too great, the examination room was full of wailing, only that person looked like a pervert.It was done directly—no surprise, that Huaguo man was a monster.

Since then, he never dared to underestimate the Chinese people.And in Stanford University, if you can meet a guy with an Asian face, there is an 80.00% possibility that the Chinese are not wrong.

It was only after that that he realized that Huaguo's basic mathematics education is really amazing.And that group of geniuses is also a real genius. He originally wanted to enter Dongda, but finally came to Stanford University.It's also because he doesn't want to sit on the island and watch the sky, although there are many masters on the island.But it's good to go out for a walk, the world is too big.The Neon Nation is too small, if he is only confined to the Neon Nation, he probably won't be able to become a master of mathematics.

Not long after he came to Stanford University, he once again saw the strength of the Hua people.

Is it possible that all Chinese people are that animal, just like this Chinese man in front of him?The use of Fourier series is too slippery. At first he thought he was a big boss in the mathematics department, but he didn't expect to be from the physics department.

If the physics department is so slick in mathematics, it can only be a guy from mathematical physics, right?

When seeing An Yan for the first time, Kai and Shinya would strike up a conversation with An Yan because An Yan seemed to be about the same age as him.It was also in this way that he knew that he graduated from the University of Zurich in two years, and his graduation subject was on the exposition of fluid mechanics and the limit of nonlinear partial differential equations.

This—probably another animal?

Cattle for cattle, but what the hell would it be to be able to go to a Princeton lecture?He thought that An Yan was just a talented graduate student and nothing more, but it was not that simple to be able to attend the mathematics conference at Princeton University.If the mentor didn't take him there, but let him participate by himself——

That would further explain how terrifying An Yan is in mathematics.

No, he and An Yan have been together for so long.He didn't realize how arrogant An Yan was at all, and the animal that participated in the IMO contest didn't seem to have that kind of arrogant look in his eyes either.

Although he only glanced at it from a distance, he was quite approachable.It's like the same with An Yan, who looks very approachable and doesn't seem to have a temper, but is a little focused on academics.

"I said..." Kai and Shinya began to look at their friends carefully, "What did you do before that you were invited to participate in the academic report at Princeton University? Is it 45 minutes?"

Even for some mathematics professors at the University of Tokyo, participating in such a large-scale and highly professional mathematics conference is about three to 10 minutes of academic report meetings.

The author has something to say: ①: Excerpted from "Rational Approximation of Arbitrary Order Operators—Singular Scaling Equations" from CNKI