Scholar's Cultivation System Panel

Chapter 289 The answer to another proof question

Zhang Yang and Li Youzhi really couldn't refute the words of their tutor Xu Yun. They knew very well that Xu Yun had already made great achievements in the field of mathematics as an undergraduate. As a student, even if he could not compare with his tutor, at least You can't be embarrassed either.

In the next semester, master all professional courses at the master's level.

Although the difficulty is indeed not small, it is not impossible to complete.

If they can stand out from this exam, they can also be called mathematical geniuses among many graduate students.

The learning progress is naturally faster than that of ordinary people.

It’s true that I have just become a first-year graduate student. In fact, I have already been exposed to mathematics courses at the undergraduate level.

Take Zhang Yang as an example. His study of number theory, research and application of the theorems of topological group theory are not something that can be learned by an undergraduate mathematics major.

So when they faced Xu Yun's study arrangements, they all decisively agreed in the end.

Li Youzhi and Zhang Yang's dormitory was also at the Institute for Advanced Study in Mathematics. After returning from Xu Yun's office, the two of them rushed towards the location of the dormitory together.

Due to Zhang Yang's not very communicative character, even if he and Li Youzhi have become brothers, he will definitely not take the initiative to talk when they first meet and are strangers.

On the way, Li Youzhi took the initiative to stir up the topic in order to avoid this embarrassing situation.

"Senior Brother Zhang."

"The study plan arranged by our tutor is really difficult. I don't know if I can successfully complete it by then?"

Li Youzhi knew that Xu Yun was not much different in age from him, but even in private he still maintained respect for his mentor. It could be seen that he was truly convinced and admired Xu Yun. He did not mention Xu Yun in his words. Any display of frivolity.

Zhang Yang didn't think too much and just answered truthfully when he heard this sentence.

"I think it's okay."

"Originally, I have to master my own plans in advance." There was a relaxed look on his face when he spoke.

It shows that he really didn't take this matter to heart.

Li Youzhi was a little stunned when he heard this. At this moment, he suddenly realized the gap between himself and Zhang Yang.

I didn't expect that my senior brother would be so perverted.

He quickly reacted and noticed that the other party had no intention of stopping, so he quickly jogged a few steps to catch up again.

The smile on his face was a little more enthusiastic than before.

"Senior brother, I am relieved by your words. I promise to fully cooperate with you on the thesis." Li Youzhi took the initiative to bring up the last question of proving the whole point within a circle. Li Youzhi answered seriously: "If anything happens in the middle, just feel free to do it, senior brother." Just tell me to do it."

Li Youzhi knew very well that his research on number theory was not as good as Zhang Yang's. Since he wanted to completely complete the proof problem and publish a paper, it was definitely more appropriate for Zhang Yang to take the lead.

"Let's prove it together." Zhang Yang stopped for the first time and looked at Li Youzhi, who was as tall as him, and spat out these words.

He was not as eloquent as Li Youzhi, and this short answer already showed his attitude.

Hearing this, Li Youzhi smiled shyly, and then said nothing more and returned to the dormitory with Zhang Yang side by side.

——

The news that Xu Yun had recruited two graduate students spread on the Internet, but since Zhang Yang and Li Youzhi both stayed in the High Court, even other students at Peking University would rarely meet them.

When no new news comes out, people gradually stop paying attention and are attracted by other hot news on the Internet.

In the following time, Zhang Yang and Li Youzhi quickly entered a learning state.

Study according to the plan formulated by Xu Yun.

In addition to staying in the high school study room to answer questions, I usually watch the open mathematics courses offered by Xu Yun.

Regarding the issue of proving an integral point within a circle, the two naturally did not give up.

In addition to conducting research and proof based on topological group theory, I often went to the office to ask Xu Yun for advice, or asked Zhang Yitang, who is already a member of the Institute for Advanced Mathematics at Jingzhou University.

In addition, Xu Yun is also very caring about his two graduate students.

When explaining knowledge such as algebraic geometry, differential geometry, and topology, we will deliberately use an easy-to-understand method.

Even the test papers were written by him himself.

Fortunately, after he decided to recruit graduate students this semester, he did not offer any more undergraduate courses, and since he had no new projects in hand, he had enough time to teach and train them.

Of course, the rewards for the hard work were huge. In addition to the rapid increase in task progress as he expected, Zhang Yang and Li Youzhi also gradually improved the demonstration steps for proving the problem of integers within a circle.

I have even started writing a thesis.

Facts once again proved that he was right to recruit graduate students from universities across the country.

Perhaps these two people are far less talented in mathematics than him, but they are pretty good among their peers.

Even if you learn new mathematical knowledge, you can master it quickly.

If he settles down for a few years, he might become a mainstay in the domestic mathematics community.

Originally, Xu Yun thought that if he wanted to complete the task, he would have to wait until at least the next semester.

But Zhang Yang and Li Youzhi gave him a big surprise. According to the growth rate of the mission progress, it is fully expected to achieve 100% mission reward before the year.

Thinking of the number of random rewards for this mission, and being able to draw 100% of the items classified in the drawings, he couldn't help but become anxious.

Among them, Zhang Yang made him worry the most.

Normally, I don’t need to be urged by him. It can be said that apart from eating, drinking and sleeping, I spend all the rest of my time on mathematics.

Extremely focused.

Even Li Youzhi was positively affected.

Sometimes, if Li Youzhi hadn't reminded them, both of them would have forgotten to eat.

Time passed quickly like this, and it was January in the blink of an eye.

January 4, 2022.

Tuesday.

Just after the three-day New Year's Day holiday, Xu Yun came to his office at the school from home and saw Li Youzhi and Zhang Yang approaching.

"You didn't go home for the holidays?"

Xu Yun took off his coat and hung it on the shelf next to him. He walked towards the desk and asked casually.

"No."

Zhang Yang still spoke concisely, shook his head and spat out these two words.

But Li Youzhi said excitedly: "You don't know, mentor, my senior brother and I have been staying in the dormitory these days."

Xu Yun sat on the chair and raised his eyes to notice the excitement on Li Youzhi's face.

I felt quite curious.

"Tell me what makes you so happy?"

He stopped what he was doing and asked specifically.

When Li Youzhi heard this, he no longer hesitated and immediately told the results of the two of them in the past few days.

"tutor."

"My senior brother and I finally finished writing the paper in the dormitory these days, so I wanted you to take a look."

"Is there anything that needs to be modified?"

As Li Youzhi's answer reached his ears, Xu Yun's eyes flashed with surprise.

I didn't expect the two of them to be so fast.

You must know that they have only officially completed all the proofs not long ago, and it will still take time to compile it into a publishable paper.

It seems that I have to stay up late and work overtime during the holidays.

Having two such self-disciplined students can't say that's a bad thing.

"You haven't had much rest these past few days. After all, your body is your most important asset. You can't just rely on your youth and not pay attention to it." Xu Yun picked up the dignity of his mentor and gave a small scolding.

In disguise, it is concern for them.

After all, they don’t have much time for deep sleep. Lack of sleep for a long time will have an impact on their thinking.

But as soon as he finished saying this, his tone softened again.

"okay."

"Bring the things here, let me check your paper writing skills first."

"Good mentor."

When the two heard Xu Yun's words, they quickly took out the USB flash drive from their bodies.

When Xu Yun turned on the computer and waited for the system to start, he brought up the light curtain panel in front of him.

You don’t know it by looking at it, but you will be shocked when you look at it.

After just a few days of New Year's Day holiday without checking the light curtain, I found that the progress of the mission of preaching and teaching had already reached 99%.

We are only one step away from the official completion of the mission, which is really unexpected.

It can be seen that these two students of mine have indeed been studying mathematics very hard in the past few days.

Thinking of the mission reward that was about to be received, Xu Yun felt particularly comfortable and did not hide the smile on his face at all.

After the file in the USB flash drive appears on the screen, immediately check the paper on it carefully.

Seeing this scene, Li Youzhi and Zhang Yang were very happy, thinking that today was a good day.

Because if Xu Yun is in a good mood, even if the paper is not good, he will not blame him too much.

Speaking of which, this was Xu Yun's first time reading a paper written by the two of them. Although both of them had successfully published papers at the undergraduate level before, their value to the mathematics community was not high in a real sense, so he was too lazy to waste time to check it out. Research.

Anyway, it turned out that the two of them had his guidance on the issue of the whole point within the circle, so at least there would be no problem with the core content.

Soon as Xu Yun looked at the paper content on the screen, the last worries in his heart quickly disappeared.

The core of the entire paper is accurate and concise.

The data is clear.

Easy to read.

There's basically nothing wrong with the format.

Not much needs to be changed.

As for the literature cited, there is only one article, which is his argument on topological group theory.

It can be seen that the person who wrote this paper must have been specially trained before.

Then Xu Yun withdrew his eyes from the paper, looked at Li Youzhi in front of his desk and asked with a smile: "Did you mainly write this paper, Dazhi?"

"Junior brother basically did it." Zhang Yang took over the conversation and replied.

Hearing this, Li Youzhi hurriedly replied: "It's mainly up to my senior brother to complete the early arguments. I just help summarize and polish it." He took the initiative to give in to Zhang Yangqian on this matter.

Hearing this, Xu Yun knew that although Zhang Yang was obsessed with mathematics, he was not as good as Li Youzhi in writing papers.

The two of them cooperated with each other just right.

Otherwise it would be impossible to complete the first draft in such a short time.

Xu Yun felt much better when his thoughts came to this point, and then he said a few words to the two of them.

"This paper is really well written by Dazhi. Leave it here for now and I will take the time to correct some of the problems. You can submit it directly to the journal."

"Then I'll trouble the instructor." Li Youzhi said excitedly.

Then he seemed to have thought of something, and said again: "One more thing, tutor, can you add your name to this paper?"

For such a paper that can be published in the top journals of mathematics, other professors may be happy to add their names to it, but for Xu Yun, it is not so tempting.

Therefore, Li Youzhi would not rashly add a name without Xu Yun's permission.

At this time, Zhang Yang, who was next to him, finally reacted and quickly echoed Li Youzhi's words.

"As for the proof of the integer point within a circle, we would not have been able to complete the entire argument without your guidance, tutor, so the name must be added."

It is really not easy for Zhang Yang to say so many words in one breath.

He didn't bring it up first because he didn't expect it at all, which made him feel a little embarrassed.

To be honest, even if it is a paper that can be published in a top journal, it doesn't matter to Xu Yun whether it is named or not, even if it is true that he guided the two of them to complete the final proof in a short time.

However, he was quite pleased that the two of them could have such a heart.

Since both of them are already his graduate students, it is obviously unreasonable that his supervisor does not provide some resource support.

His thoughts stayed here, and he quickly made a decision.

A smile appeared on his face and he replied: "Having my name on it will be good for both of you now. Then submit it to the Annual Review of Mathematics. I happen to be familiar with the editor-in-chief of the Annual Review Editorial Board." They agreed. The request agreed to put his name on it.

At least the review period for this paper will not be too long, and it is expected to be published soon.

"Thank you, mentor. Then my senior brother and I will go back first."

Seeing that his goal was achieved, Li Youzhi responded and took Zhang Yang away without staying any longer.

Xu Yun watched the two people leaving, until they completely disappeared from sight, then he looked back at the screen again, and then seriously revised the mathematics paper.

——

As we enter January, there are only a few days left before the Spring Festival, and the winners of the new Xu Yun Mathematics Award have also been announced.

Xu Yun did not attend in person this time, but left it to the foundation and the Mathematical Society.

The Xu Yun Mathematics Foundation was originally established with the bonuses issued by the Clay Mathematics Institute, mainly to encourage young domestic mathematicians to improve their own abilities and to enable the domestic mathematics community to have more say in the international arena.

The perfect ending of the first Xu Yun Mathematics Award has already made it famous. All we need to do is continue in accordance with the regulations.

I believe that if you persist for a long time, it will definitely have a positive impact on the domestic mathematics community.

As his influence in the scientific community grew, he certainly didn't have much time to devote to such matters.

Unless there is a very outstanding winner who attracts his attention, there is a high probability that he will not personally host the awarding of the Xu Yun Mathematics Award.

It is also worth mentioning that in the past few months, most cities across the country have opened sales of Trailblazer Inspiron.

Cumulative total sales volume is about to exceed one million vehicles.

This can be said to be a very scary number.

It is easy to see the Trailblazer running on urban roads.

As users drive the Trailblazer Inspiron, they trust the intelligent driving functions more and more.

So far, there has not been a single error.

When the Trailblazer Inspiron was first sold, many people did not dare to turn on the smart driving mode and only wanted to trust their own driving skills. Now everyone has truly realized the convenience of smart driving.

In addition to no longer having to worry about parking and complicated and congested road conditions, you can even spend your time doing your own things on the road, just waiting for the vehicle to safely reach its destination.

What’s more interesting is that the increase in vehicles using intelligent driving modes has actually reduced the probability of traffic accidents in cities.

After all, in the owner's driving mode, it is easy to make operational errors due to emotions or oneself.

Traffic accidents such as rear-end collisions are naturally prone to occur.

If it can be driven by artificial intelligence, it can make up for the shortcomings very well.

It can even judge the road conditions ahead in advance to calculate the optimal driving method.

The hot sales of the Trailblazer Inspiron have also allowed friends to see huge benefits. In addition to accelerating their own solid-state battery cars, even some mobile phone companies have announced that they will build their own solid-state battery car brands.

Coupled with those established car brand companies that are transforming from traditional gasoline vehicles to new energy vehicles, it can be said that the market is destined to have very strong competition.

Of course, this is definitely a good thing for users, at least they have more choices.

Anyway, Pioneer Inspiron has long been the leader and will not be affected by other brands.

Just like this, another few days passed, and a new week entered. After Xu Yun revised the paper and let Li Youzhi, Zhang Yang and others take it away, they submitted it to the journal Annals of Mathematics that day.

Because his name is attached, I believe it will definitely attract the attention of Hofer, the chief editor of the editorial board of the Annual Journal of Mathematics.

Who knows that he has not submitted a paper to the Annual Journal of Mathematics for a long time.

During this period, Hofer received several personal emails alone.

It was precisely at this time that Xu Yun was pleasantly surprised to find that the progress of his mission had reached 100%.

"I didn't expect the task to be completed so quickly. These two students of mine are really awesome!"

At this time, in the personal office of the Institute for Advanced Mathematics at Peking University, Xu Yun looked at the information on the light screen in front of him and couldn't help but feel secretly happy in his heart.

First of all, his points have become 230 after the mission reward arrives, and he has two times to draw random rewards.

Thinking of the 100% probability of drawing items, he naturally had nothing to hesitate.

I decided to use these two opportunities first.

"Let me see what kind of drawings I can draw this time."

With a slight movement in his heart, the attribute information template on the light screen suddenly changed and a roulette wheel for drawing rewards emerged.

"I smoke."

Almost instantly, the roulette wheel was seen spinning so fast that only blurry colors remained in the field of vision.

Since he was sure to win drawing-like items, Xu Yun must have taken it very seriously.

Keep an eye on the wheel until it stops spinning completely.

In the next second, the item information appears in the center of the light curtain, and quickly expands around until it fills the light curtain.

And Xu Yun's eyes immediately fell on him.

——

Item: Riemann Hypothesis Proof Process

Category: Drawings

Explanation: The precise formula and complete process of proving the Riemann hypothesis.

"Is this the answer to another proof question?"

When the information on the light screen caught his eye, Xu Yun's face looked a little strange. He didn't expect that he had won the proof of another mathematical problem.

He is naturally no stranger to the Riemann hypothesis. In addition to being one of the seven major mathematical problems in the world, it is also a classic problem in analytic number theory. More importantly, it is called the key to realizing quantum mechanics.

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