Chapter 289: Another Proof Question Answer
Zhang Yang and Li Youzhi really can't refute their mentor's words, they know very well that Xu Yun has made great achievements in the mathematics world as an undergraduate, and as a student, even if he can't compare with his tutor, at least he can't be ashamed.
In the next semester, students will be able to master all the professional courses at the master's level.
Although it is indeed difficult, it is not impossible to complete.
To stand out from this exam, they can also be called math geniuses among many graduate students.
Naturally, the learning progress is faster than that of ordinary people.
It is true that I have just become a freshman in graduate school, but in fact, I have been exposed to mathematics at the undergraduate level.
Take Zhang Yang as an example, his study of number theory and the study and application of topological group theory theorems are not something that can be learned by mathematics majors at the undergraduate level.
So in the face of Xu Yun's study arrangement, they finally agreed decisively.
Li Youzhi and Zhang Yang's dormitory is also at the Institute for Advanced Study of Mathematics, and after returning from Xu Yun's office, the two rushed to the location of the dormitory together.
Due to Zhang Yang's personality that is not very good at communication, even if he has become a brother and sister with Li Youzhi, he will definitely not take the initiative to talk when he is relatively unfamiliar when he first meets.
On the way, in order to avoid this embarrassing situation, Li Youzhi deliberately took the initiative to provoke the topic.
"Senior Brother Zhang."
"The study plan arranged by our tutor is really difficult enough, and I don't know if it will be successfully completed by then?"
Li Youzhi knew that Xu Yun's age was not much different from him, but even in private, he still maintained his respect for his mentor, and it could be seen that he was indeed convinced and admired Xu Yun very much, and there was no frivolity when Xu Yun was mentioned in his words.
Zhang Yang didn't think too much about it, and just answered truthfully when he heard this.
"I think it's okay."
"Originally, my own planning had to be grasped in advance." When he spoke, his face was full of lightness.
It shows that he really didn't take this matter to heart.
Li Youzhi was a little stunned when he heard this, and at this moment he suddenly realized the gap between himself and Zhang Yang.
I didn't expect my senior brother to be so perverted.
reacted quickly, noticed that the other party did not mean to stop, and hurriedly trotted a few steps to catch up again.
The smile on his face was a little more enthusiastic than before.
"I am relieved to have your words, senior brother, and I promise to fully cooperate with you about the paper." Taking the initiative to bring up the question of proof on the whole point in the last circle, Li Youzhi replied very seriously: "If there is anything in the middle, senior brother, just tell me to do it." ”
Li Youzhi knows very well that his research on number theory is not as good as Zhang Yang, and since he wants to completely complete the proof problem and publish a paper, it must be more appropriate for Zhang Yang to lead it.
"Together, we prove." Zhang Yang stopped for the first time and looked at Li Youzhi, who was not inferior to himself in height, and spit out these words.
He is not as eloquent as Li Youzhi, and this short answer has already indicated his attitude.
Hearing this, Li Youzhi showed a sinister smile, and then didn't say anything more, and returned to the dormitory side by side with Zhang Yang.
——
The news that Xu Yun had recruited two graduate students spread on the Internet, but because Zhang Yang and Li Youzhi were both staying in the high school, it was difficult for even other students at Beijing University to meet the two of them in normal times.
When there is no new news, everyone gradually stops paying attention and is attracted by other hot news on the Internet.
In the following time, Zhang Yang and Li Youzhi also quickly entered the state of learning.
Learn according to the plan made by Xu Yun.
In addition to staying in the self-study room of the high school to brush up on the questions, I usually read Xu Yun's previous open mathematics courses.
Regarding the issue of proof of the whole point in the circle, the two naturally did not give up.
In addition to the research and proof in combination with 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 Study of Mathematics at Jingzhou University.
In addition, for his two graduate students, Xu Yun can also be said to be very attentive.
When explaining algebraic geometry, differential geometry, topology, etc., it is deliberately done in a way that is easy to understand and grasp.
Even the test papers were written by him personally.
Fortunately, after he decided to recruit graduate students this semester, he did not offer any more undergraduate courses, and there were no new projects in his hands for the time being, so he had enough time to teach and train.
Of course, the gains after hard work are also huge, and in addition to the rapid increase in the progress of the task as he expected, Zhang Yang and Li Youzhi have also gradually perfected the demonstration steps of the whole point proof problem in the circle.
He has even started working on his dissertation.
Facts have once again proved that he is very correct in recruiting graduate students from colleges and universities across the country.
Perhaps these two are far less talented in mathematics than him, but they are already very good among their peers.
Even if you learn new math knowledge, you can grasp it quickly.
After a few years of precipitation, it is not impossible to become the mainstay of the domestic mathematics community.
Originally, Xu Yun thought that if he wanted to complete the task, he would at least wait until the next semester.
But Zhang Yang and Li Youzhi gave him a lot of surprises, according to the growth rate of the mission progress, it is expected that he will completely reach 100% of the task rewards before the year.
Thinking of the random number of rewards rewarded for this mission, he couldn't help but feel urgent when he could draw 100% of the items classified by the drawings.
Among them, Zhang Yang made him worry the most.
Usually there is no need for him to urge, it can be said that in addition to eating, drinking, and sleeping, the rest of the time is all devoted to mathematics.
The concentration is extremely focused.
Even Li Youzhi has been positively affected.
Sometimes if it weren't for Li Youzhi's reminder, both of them would have forgotten to eat.
In this way, time passed quickly, and it was January in a blink of an eye.
……
……
January 4, 2022.
Tuesday.
Just after the three-day New Year's Day holiday, Xu Yun came to the school's office from home and saw Li Youzhi and Zhang Yang looking for him.
"You didn't come home for the holidays?"
Xu Yun took off his coat and hung it on the shelf next to him, and asked casually as he walked towards the desk.
"Nope."
Zhang Yang still spoke concisely, shook his head and spit out these two words.
However, Li Youzhi said with some excitement: "You don't know the mentor, my senior brother and I have been staying in the dormitory for the past few days. ”
Xu Yun sat on the chair and raised his gaze to notice the excitement on Li Youzhi's face.
I was curious.
"What makes you so happy, tell me?"
Temporarily stopped the movement in his hand and asked a special question.
Li Youzhi no longer hesitated when he heard this, and immediately told the results of the two of them in the past few days.
"Mentor."
"My brother and I have finally finished writing my thesis in the dormitory in the past few days, so I want you to take a look."
"Is there anything that needs to be changed?"
As Li Youzhi's answer came into his ears, Xu Yun's eyes flashed with a little surprise.
I didn't expect the speed of the two to be so fast.
You must know that they have only officially completed all the proofs not long ago, and it will take time to compile them into a paper that can be published.
Looking at it this way, I am afraid that I have stayed up late and worked overtime during the holidays.
Having two students who are so disciplined can't be said to be a bad thing.
"I haven't had a good rest these days, how to say that the body is the most important capital, but you can't rely on your youth and ignore it." Xu Yun picked up the majesty of the mentor and reprimanded him a little.
In disguise, it is the concern for them.
After all, they don't have much time for deep sleep, and if they don't get enough sleep for a long time, it will have an impact on their thinking.
But as soon as he finished speaking, his tone softened again.
"Alright."
"Bring it over, I'll see how well you write your essay first."
"Good mentor."
When the two heard Xu Yun speak, they hurriedly took out the USB flash drive from their bodies.
When Xu Yun took it and turned on the computer and waited for the system to start, he called up the light curtain panel in front of him by the way.
I don't know if I don't know it, and I'm startled when I see it.
After only a few days of not checking the light curtain during the New Year's Day holiday, I found that the progress of the task of preaching and teaching had reached 99 percent.
It's just one line away from the official completion of the mission, which is really unexpected.
It can be seen that these two students have really worked hard to study mathematics in the past few days.
Thinking of the task reward that will arrive soon, Xu Yun was in a particularly comfortable mood, and he did not hide the smile on his face at all.
As soon as the file on the USB flash drive appears on the screen, you can take a closer look at the paper on it.
Seeing this scene, Li Youzhi and Zhang Yang were also very happy in their hearts, thinking that today could be regarded as a good day.
Because Xu Yun is in a good mood, even if the paper is not well written, he will not blame anything too much.
Speaking of which, this is the first time Xu Yun has read the papers written by the two, although both of them have successfully published papers in the undergraduate stage before, but the value to the mathematical community in the real sense is not high, so he is too lazy to waste time to check the research.
Anyway, the two of them have a problem with the whole point of the circle, which proves that with his guidance, at least there will be no problem with the core content.
Soon, as Xu Yun looked at the content of the paper on the screen, the last worry in his heart quickly disappeared.
The core of the whole paper is accurate and concise.
The data is clear.
Legibility.
I can't find much fault with the format.
There's not much to revise.
As for the citation of literature, there is only one article, which is his argument on topological group theory.
It can be seen that the person who wrote this paper should have been specially trained before.
Immediately, Xu Yun withdrew his gaze from the paper, looked at Li Youzhi in front of the office desktop, and asked with a smile: "Is this paper mainly written by you?" ”
"It's basically done by the junior and younger brothers." Zhang Yang took the conversation and replied.
Hearing this, Li Youzhi hurriedly replied: "It is mainly up to the senior brother to complete the preliminary arguments, I just help summarize and polish." "Take the initiative to give up with Zhang Yangqian in 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 cooperate with each other, which is just right.
Otherwise, it would not have been possible to complete the first draft in such a short time.
Thinking to this point, Xu Yun was in a much better mood, and then explained two sentences to the two.
"This paper is really well written, put it here first, I will take the time to revise a few of the problematic places, and you can directly submit the paper to the journal."
"Then it's a hassle for the mentor." Li Youzhi said excitedly.
Then he seemed to think of something, and spoke again: "One more thing, supervisor, can you add your name to this paper?" ”
For such a paper that can be published in the top journal of mathematics, maybe other professors will be happy to add their names, but for Xu Yun, it is not so tempting.
Therefore, Li Youzhi would not rashly add his name without Xu Yun's permission.
At this time, Zhang Yang next to him finally reacted, took Li Youzhi's words and hurriedly echoed the sentence.
"As for the proof of the whole point problem within the circle, we would not have been able to complete the whole argument without your guidance, 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 take the lead in bringing it up, but 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 he has a name or not, even if it is indeed he who guided the two to complete the final proof in a short time.
But he is quite pleased that two people can have this heart.
Since both of them are already his graduate students, it is obviously unreasonable for him as a supervisor not to provide some resource support.
The thought was here, and he quickly made a decision.
A smile appeared on his face and he replied: "It will be good for the two of you to hang my name now, and when the time comes, you can vote for the Annals of Mathematics, I happen to be familiar with the editor-in-chief of the editorial board of the annals." It was kind of agreeing to the request of the two and agreeing to hang his name.
At the very least, the review cycle of such a paper will not be too long, and it is estimated that it will be published soon.
"Thank you, mentor, then my brother and I will go back first."
Seeing that the goal was achieved, Li Youzhi responded and left with Zhang Yang without continuing to stay.
Xu Yun looked at the backs of the two leaving, and only then did he retract his gaze and look at the screen again until he completely disappeared from view, and then seriously revised the math paper.
——
There are not many days left before the Spring Festival in January, and the winners of the new Xu Yun Mathematics Award have been announced.
This time, Xu Yun did not go over to participate in person, but handed it over to the foundation and the Mathematics Society to be responsible.
At the beginning, the Xu Yun Mathematics Foundation was established with the prize money issued by the Clay Institute of Mathematics, mainly to encourage young mathematicians in China to improve their own strength and promote the domestic mathematics community to have more voice in the world.
The perfect curtain call of the first Xu Yun Mathematics Award has become famous, and it only needs to be done in accordance with the regulations.
I believe that if we persist for a long time, we will definitely be able to bring a positive effect to the domestic mathematics community.
As his influence in the scientific community grew, there certainly wasn't much time to deal with these things.
Unless there are very good winners who attract his attention, there is a high probability that he will not personally preside over the presentation of the Xu Yun Mathematics Award.
It is also worth mentioning that in the past few months, most cities in the country have opened the sales of Pioneer Lingyue.
The cumulative total sales volume is about to exceed one million units.
That's a terrifying number.
It's easy to see the trailblazing Reapon in action on city roads.
With the driving of the Pioneer Lingyue, users also trust the intelligent driving function more and more.
So far, there has not been a single case of error.
When the pioneer Lingyue was first sold, many people did not dare to turn on the intelligent driving mode, but only wanted to believe in their own car skills, and now everyone really understands the convenience of intelligent driving.
In addition to no longer worrying about parking and complex and congested road conditions, you can even spend time on the road doing your own thing, just waiting for the vehicle to reach its destination safely.
What's even more interesting is that the increase in the number of vehicles using intelligent driving mode has reduced the probability of traffic accidents in the city.
After all, in the driving mode of the owner, it is easy to make mistakes due to emotions or themselves.
Naturally, traffic accidents such as rear-end collisions are likely to occur.
It can be handed over to artificial intelligence to drive, which can make up for the shortcomings very well.
It is even possible to determine the road conditions ahead in advance and calculate the optimal driving style.
In addition to speeding up their own solid-state battery cars, even some mobile phone companies have announced that they want to build their own solid-state battery car brands.
Coupled with those old car brand companies that have transformed from traditional gasoline vehicles to new energy, it can be said that the market is destined to have very big competition.
Of course, this is definitely a good thing for users, at least they have more options.
Anyway, the Trailblazer Lingyue has long been out of the cracks and will not be affected by other brands.
In this way, another few days passed, and in the new week, Xu Yun revised the paper and asked Li Youzhi and Zhang Yang to take it away, and they submitted the manuscript to the Mathematics Annals on the same day.
Because of his name, I believe that it will definitely attract the attention of Hofer, the editor-in-chief of the editorial board of the Annals of Mathematics.
Who made him really have a long time without submitting a paper to the Annals of Mathematics.
During this period, Hofer's personal emails alone received several letters.
It was also at this time that Xu Yun was pleasantly surprised to find that the progress of his mission had successfully reached 100%.
"I didn't expect the task to be completed so quickly, my two students are really amazing!"
At this time, in the personal office of the Institute for Advanced Study of Mathematics of Beijing University, Xu Yun looked at the information on the light curtain in front of him, and couldn't help but secretly rejoice in his heart.
First of all, his points have become 230 after the mission reward has been received, and he has two random rewards drawn.
Thinking of the probability of 100% drawing items, he naturally had nothing to hesitate about.
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 original light curtain suddenly changed, and a roulette wheel for drawing rewards appeared.
"I'll smoke."
Almost instantly, the wheel spun so rapidly that only a blur of color remained in view.
Since it is certain that he can draw drawings and other items, Xu Yun must attach great importance to it.
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 rapidly expands in all directions until the light curtain is full.
And Xu Yun's gaze fell for the first time.
——
Item: Riemann conjecture proof process
Category: Drawings
Explanation: The exact formula for proving the Riemann hypothesis and its complete process.
"Is this the answer to another proof question?"
When the information on the light curtain came into view, Xu Yun's face was a little strange, he didn't expect that he had drawn another mathematical problem to prove the process.
He is no stranger to the Riemann hypothesis, which is not only one of the world's seven mathematical problems, but also a classical problem in analytic number theory, and more importantly, it is called the key to the realization of quantum mechanics.
……
(End of chapter)