After finishing Ma Botao, Qiao Yu did not go to Huairou Institute. However, the research team at Huairou Institute specially recorded a video for him, roughly explaining the entire manufacturing process.

The data was also packaged and sent to him directly. I can only say that the efficiency of the laboratories of real officials is extremely high.

Early the next morning, everything was in place. This was enough to prove that someone must have stayed up all night last night.

But Qiao Yu was completely unprepared. After all, Senior Brother Chen was alone and had to go to class. As the finals were approaching, he had to give out papers.

Professor Zhang still needs to keep up with the analysis work. After all, we have just found the direction now, and there are still a lot of things to do next.

The performance will continue to improve, which means that various parameters must be calculated more accurately. Chen Zhuoyang has already mastered this area, so Qiao Yu plans to let Brother Chen continue to work hard until he helps Liu Hao completely win this topic.

So the problem lies with the data at Huairou Institute. He still needs a reliable person to continue the analysis. This is a very boring and hard work. He can't do it himself, right?

Lao Xue is indeed a good choice, but Lao Xue has no time recently. He is leading his student team to do high-dimensional expansion of the generalized modal framework.

A more precise statement is to introduce group theory into the system. Lao Xue was very interested in this issue.

Because group theory is very important in studying the classification of symmetries and solutions of Diophantine equations, especially for multivariable Diophantine equations and equations with specific constraints.

So if he can complete it, he can start to study how the symmetry transformation in the modal space acts on the solution set of the Diophantine equation, thereby solving a series of problems.

It can also divide solutions into equivalent categories through group action, thereby achieving the concept of defining equivalence classes in modal space. This is obviously a great breakthrough for the study of Diophantine-like number theory problems.

This is also a very detailed and tiring job. Lao Xue would often communicate with him for an hour or two to discuss various possible solutions.

So it is almost impossible for Lao Xue to find time to do this.

Then there is only one Qiao Xi left in the team.

Speaking of which, Qiao Yu suddenly felt that Qiao Xi had been quite idle recently. Her research tasks were not heavy, and she often spent three days fishing and two days drying nets...

So after Qiao Yu saw the data that gave him a headache, he simply called Qiao Xi.

"Hey, Mom, are you busy lately?"

"Nonsense, it's time for the final exam, do you think I'm busy? I have something to talk about, and I'll pass if I have nothing to do! I still have to answer the questions."

One sentence completely blocked everything Qiao Yu wanted to say next.

Final exam?

What a strange vocabulary!

Mr. Yuan’s students actually lacked grade points?

There were a lot of complaints in my mind, but when they came to my mouth, they turned into two words: "It's okay."

"Dududu..."

Listening to the busy tone on the phone, Qiao Yu suddenly regretted letting Qiao Xi come to the capital to study.

The feelings are gone!

When the two of them were living together in a small house in Star City, he asked Qiao Xi to learn English with him and do subtitles. He only made a suggestion. The time when Qiao Xi picked up an English book and started memorizing words was really nostalgic!

For a moment, Qiao Yu even thought of Xia Keke, who at least for now was still very well-behaved.

But it is said that girls in love and girls after marriage are two completely different creatures. Okay, let’s think too far...

As for the other professors in the original team, Qiao Yu has not yet decided whether to let them do this, mainly because it has nothing to do with the research and development tasks of the mainline framework.

Sure enough, it is better to be a professor, recruit a few more reliable students, bring them out in the early stage, and then it will be easy.

What follows is a combination of the old and the new, creating a steady stream of labor resources. Just like Zhang Zuolin, a sustainable development path has been blazed.

It's a shame that his age has limited his development.

Just when Qiao Yu was thinking about where to find two reliable, hard-working workers with a certain level of mathematical literacy to ensure that there would be no mistakes, the phone suddenly rang.

Qiao Yu picked it up and looked at it, and when he saw Director Tian's name, it was like a light lit up his confused brain. He didn't have any good candidates, but there was a mentor. He just had to think about how to tell Director Tian about this.

He answered the phone slowly and was thinking about how to word it when he heard Director Tian's voice: "I'm in the office, come over right away."

"Oh, that, Director Tian, ​​that..."

"Dududu..."

Listening to the busy tone on the phone, Qiao Yu wondered if there was something wrong with the world.

Is this why everyone is proud to hang up his phone quickly? It doesn’t matter that Qiao Xi is busy with the final exam, why is Director Tian like this?

Bad review!

But there is no way, the wings are not hard enough... Of course, Qiao Yu still has very high requirements for his own moral level. Even if the wings are hard enough, he still has to respect his teachers.

With this thought in mind, Qiao Yu quickly got dressed and arrived at Director Tian's office ten minutes later... outside.

"Uncle Su, how is Director Tian feeling today?" Su Wen, Tian Yanzhen's secretary, subconsciously touched his face after hearing Uncle Su's address.

He is only 28 years old. Every time he hears Qiao Yu call him uncle, it makes him feel like he is getting older.

"Actually, I'm 3 years younger than Chen Zhuoyang. If you call him Senior Brother, you can just call me Sheng Ge. If you feel uncomfortable calling me Brother, you can also call me Secretary Su."

"Oh, okay, Secretary Su, how is Director Tian feeling today?" Qiao Yu asked again in an obedient manner.

"I don't know, but it's the same as usual." Secretary Su answered in a nonchalant manner.

There is no way, Qiao Yu belongs to the kind of young people with a bright future. But to express dissatisfaction, you can use serious nonsense.

"Oh, I understand!" Qiao Yu smiled and nodded, then ran to Director Tian's office door, knocked on the door carelessly, and then pushed the door open.

But instead of going in directly, he stuck his head in and said, "Director Tian, ​​I'm here."

"Come in directly when you come, what? Do you want me to invite you?"

Yeah, that sounds like a bad tone.

Qiao Yu walked into the office. Instead of looking for a seat as usual, he came to Director Tian's desk and planned to listen to the instructor's instructions.

"What have you been busy with during this period? Is there any progress in the project you are cooperating with Professor Zhang? The funds have been sent to you, but there seems to be no movement at all from you?"

Qiao Yu suddenly remembered that he had signed an agreement with Zhang Yuanling's team when they were in Linhai, and the two parties were working together to promote research on the affine B-type Weyl group.

But recently, he has ignored this project at all. It’s not that he forgot about it, but that he is waiting for the progress of Lao Xue’s introduction of a framework for group theory.

The Weyl group is originally part of the representation theory of Lie groups and Lie algebras. It mainly involves infinite-dimensional structures.

So wait until Lao Xue has almost completed this work before considering this issue, and you can get twice the result with half the effort.

So Qiao Yu started to blame the blame openly.

"Isn't this urgent? Professor Xue's work has not been completed yet. The basic theorems of group structures in generalized modal space are still being deduced. I am also waiting for Professor Xue to quickly produce results."

"Oh, so you, the project leader, just arrange all the tasks and act as a consultant for others? Qiao Yu, you have become more capable, and you can take the initiative to take on the work?"

Well, it must be Zhang Zuolin or Ma Botao who talked too much to Director Tian for nothing. Zhang Zuolin is more suspicious.

In fact, he can understand it. Even if Professor Zhang reports to Tian Yanzhen, he will most likely say good things about him and express his gratitude. However, Director Tian's considerations may be different from others.

"Ah... you are talking about my cooperation with the design of thermoresponsive gels, right? That's right, Director Tian, ​​I mainly consider extending the generalized modal axiom system to applications.

To be honest, I say that I am a consultant for them, but I am actually using their data to verify an idea of ​​mine. Through the projection technology of high-dimensional modal space to low-dimensional modal space, the data is analyzed intelligently.

And now it seems that my idea seems to be valid! This means that the generalized modal axiom system can be directly extended to the application level and used for theoretical modeling in major laboratory research.

Especially now that various advanced models are no longer authorized for us to use, and many academic exchanges have been restricted, I really hope to make some insignificant contribution to the rise of Chinese materials science!"

Qiao Yu's serious speech stunned Tian Yanzhen.

He opened his mouth, but he didn't know how to answer. A sixteen-year-old boy started to worry about the country and the people. He must not be criticized, right?

"Oh, that's it. Okay, you can wait here for a while. Professor Lu should be here soon. He called me specifically and said he wanted to ask you for advice."

Finally, Tian Yanzhen nodded and said.

"Ah? Professor Lu?" Qiao Yu Erzhang asked confused.

He originally thought it was Professor Zhang Zuolin who told Tian Yanzhen about this, but he didn't expect that it was Professor Lu.

"What's wrong? As a consultant, didn't you help Professor Zhang solve a big problem? Professor Lu said that Zhang Zuolin called him last night and said that he..."

At this point, Tian Yan's real face twitched twice unconsciously, probably because he wanted to laugh, but he had to maintain his dignity as a teacher and didn't want to laugh in front of Qiao Yu.

After holding back for a moment, he continued: "Professor Zhang said that Professor Lu is not good at academics and is not as good as you. Professor Lu was so angry that he went to the laboratory to confront Zhang Zuolin last night.

As a result, another laboratory came up with the plan you gave, saying that you used their existing data to directly produce the results. You are promising, Professor Lu called me early this morning..."

Qiao Yu probably understood what happened...

It can only be said that the professors' mental state is really good. He still remembers that it was already 10:30 pm when he signed the contract with Ma Botao last night - didn't he need to sleep at this time?

In other words, after he left, Zhang Zuolin didn't know what she was thinking and called Professor Lu again. Then the two of them probably quarreled on the phone over this matter.

Well, I probably drank too much.

But Qiao Yu remembered that Zhang Zuolin didn't drink much yesterday. Well...it was only two bottles of beer, and she didn't eat too much food. She shouldn't be so drunk, right?

By the way, Qiao Xi used to drink two bottles of beer, which was like drinking two bottles of water, and she didn't even burp.

In short, facts once again prove that alcohol harms people!

"Then, what does Professor Lu want to know?" Qiao Yu asked cautiously.

Tian Yanzhen smiled and replied jokingly: "It must be your analysis method. Aren't you planning to contribute to the Chinese materials science community? Professor Lu happens to have great expertise in functionals, numerical analysis, and optimization theory.

Deep attainments.

This is why people in chemistry laboratories used to like to ask him for help. The topic he evaluated for outstanding students in the past few years was the application of functional analysis in quantum chemistry. If you talk to Professor Lu, we can make contributions together in the future."

"Oh! That's it!" Qiao Yu nodded, looking as if he was in a daze, but his mind began to spin rapidly.

Well, the specific method must not be spread casually. But the reason seems to be easy to find.

After all, his method has nothing to do with functionals. It can be said to be an optimization method, but you must have a deep understanding of general modal theory to use it.

The main reason is that now he can't even apply for a patent for this method, because the mathematical method itself is difficult to obtain a patent, and the mathematical method must be transformed into a specific technical solution.

The current situation is that his analysis method does not have a model that can produce stable output. Each time it is applied, personalized analysis must be carried out according to the characteristics and conditions of the specific problem, and targeted functions and algorithms must be designed.

.

Without stable standardized output, it is impossible to apply for a patent as a universal technology. In short, it still needs time and manpower to solve the problems of stability and versatility, and to develop a standardized universal method before it can apply for a patent.

Yes, in recent times, although Qiao Yu has not done much theoretical research, he has done a thorough research on applying for patents and starting a company.

It can be said that there is no problem at all in theory, but now it is time to put it into practice.

And Qiao Yu is very confident in practical operation.

He now has a good relationship with Professor Zhang Zuolin. Professor Zhang Zuolin has already set up two patent licensing companies, and the results are pretty good. If you have any questions in the future, you can ask Professor Zhang for advice.

"Okay, don't think too much. When Professor Lu comes, you can just talk to him about the general idea. Don't worry, people won't break the casserole and ask you to the end before you write the article."

Although Qiao Yu felt that he was pretending to be very similar, it was obvious that Tian Yanzhen could see his little thoughts at a glance.

"Hehe..." Qiao Yu laughed twice, and then asked seriously: "Director Tian, ​​is it that obvious?"

Tian Yanzhen smiled and said nothing, just pointed to the sofa next to him.

Fortunately, he didn't have to wait long before Professor Lu came to the door.

What surprised Qiao Yu was that there was a female student next to the professor. Well, it must be that the student looked a bit older after all.

"Hello, Academician Tian, ​​I'm bothering you again today."

"You're welcome, Professor Lu. Hey, Zhang Xiao is here too. Qiao Yu, let me introduce to you this is Professor Lu Huazhou from the School of Mathematics, an expert in functionals. This is Professor Lu's student, your senior sister, named

Zhang Xiao. Qiao Yu, I don’t need to introduce you, right?”

Lu Huazhou smiled and said: "Hey, what else can I introduce? I saw you on the rostrum during the Linhai meeting. Qiao Yu, it must have been at the beginning of the year that Academician Tian made a special call to me.

I asked you to help the laboratory do an analysis. If there is anything you don’t understand, let me help you. I haven’t received a call from you from the beginning of the year to the end of the year. I have no choice but to

Shamelessly, I asked Academician Tian to help introduce me."

Qiao Yu smiled shyly and said hello: "Hello, Professor Lu, hello, senior sister."

Senior Sister Zhang opposite smiled and nodded politely at Qiao Yu.

"Okay, sit down. You can chat here with me." After the greetings, Assistant Su outside soon brought tea to several people.

Professor Lu didn't waste any time. After taking a sip of tea, he asked directly: "Yesterday, I went to Professor Zuo Lin's laboratory and studied his data again.

By the way, I also read the reports you issued. Hey, I’m ashamed to say that I thought about it all night and couldn’t figure out how you did it. It’s not just me who didn’t figure it out. Zhang Xiao has actually been following their progress and doing some

Basic recording and analysis.

After I went to Professor Zuo Lin's place yesterday, I called her and said that the analysis report you gave the laboratory solved the current problem. She didn't believe it. Can you tell us what you used?

What method?"

Qiao Yu has been looking at Professor Lu and the senior sister beside him.

Needless to say, Lu Huazhou. Although it was his first time to see him in person, Qiao Yu had already seen photos on the official website of the School of Mathematics.

This was the first time I met this senior sister Zhang. To be honest, I rarely see senior sisters here in the research center, and I rarely see female professors. This made Qiao Yu somewhat curious.

At first glance, Senior Sister Zhang's looks don't seem to be very good, just ordinary. Far inferior to those of Qiao Xi and Xia Keke.

But after a few more glances, it seems to be quite pleasing to the eye. It's quiet and has a very special temperament.

Especially those eyes that were staring at him blankly, looking at each other, and neither of them felt embarrassed at all. But Qiao Yu could tell that this senior simply wanted to know his method.

Because that look was different from Xia Keke's look.

"Well, actually the method I use is based on my generalized modal axiom system, that... To be honest, if I don't understand modal space, modal geometry and related theorems, I actually don't know where to start.

.”

Qiao Yu answered seriously and honestly.

Lu Huazhou smiled and said: "Look, I knew it! Qiao Yu, this is why I brought Zhang Xiao. I have been really busy recently and have no time to study your paper carefully.

But Zhang Xiao is very interested in your modal axiom system. He has been studying it during this period. At least you should still understand the definition of modal space and modal geometry, right?"

Senior Sister Zhang nodded, then smiled at Qiao Yu, took up the topic and said, "Well, I dare not say that I completely understand it. But I roughly understand the composition of modal space.

I admire your idea very much. You have designed a space with both a coordinate system and a metric. Moreover, the modal points can directly represent a certain state of the system.

Moreover, the coordinates can also change according to the key parameters of the system. To be honest, when I read your article, how should I put it, I always had the feeling that this does not belong to this era."

This is the first time Zhang Xiao has spoken today.

The voice is different from Xia Keke's youth and tenderness, and Qiao Xi's laziness, but has a heroic spirit.

Of course, this is just Qiao Yu's personal feeling.

But what Qiao Yu admires most about Senior Sister Zhang Xiao is her ability to praise others.

"It feels like it doesn't belong to this era." Look, it's so cultured and sophisticated, it makes people happy to hear it, and it doesn't feel like it's flattering. It's really not something that just anyone can say.

The key is that Qiao Yu feels that what the senior sister said is right, and it almost touches his heart.

There is a kind of heroic feeling that Qiao Yu is not born in nature, and mathematics is like a long night. This is why Qiao Yu has been practicing his language skills.

People who can talk can easily capture the favor of people around them, but those who can't talk often offend people miserably and don't know why.

It also made Qiao Yu like to chat more with this senior sister.

"Actually, it's nothing too magical. My original idea was to study the distribution of prime numbers more intuitively. But there is no other way. The current methods of studying prime numbers are too abstract.

If you understand the modal space, this problem is simple to explain. In fact, it is nothing more than mapping the laboratory data into modal points, and then analyzing those parameters through paths, distances and densities.

Of course you also need to derive specific functions that can be used to classify laboratory data. See, it is very simple as long as you understand the principle of modal space. Well, it is obvious, right?”

Zhang Xiao was startled, and subconsciously glanced at the instructor beside him.

Just obvious?

Where is it obvious?

When she saw the word "obvious" in the paper, she was troubled. When she suddenly heard the word "obvious", she was completely confused.

"Qiao Yu, Zhang Xiao is asking you for advice humbly. You can't say that you haven't read the paper. You can't explain the modal space clearly. If you understand the modal space, you can clearly deal with it, right?"

Professor Lu said cheerfully, but the underlying meaning behind his words was that Qiao Yu, your child, is being unkind.

Qiao Yu quickly explained: "No, Professor Lu, Senior Sister Zhang, I really didn't mean that. It's really obvious! How about Senior Sister, if you don't understand anything, just ask?"

Zhang Xiao smiled and said: "Since junior brother said so, I will ask. You just said that all data are mapped into modal points. I can probably understand it.

However, the laboratory data does not have a clear direction. For example, the relationship, importance and even meaning between the data may not be directly apparent. How to accurately position the data in the analysis?"

Without thinking, Qiao Yu asked: "So why does the modal space need to have a clear geometric structure? Have you thought about this problem? The data is indeed disordered, even messy, but it is spatially ordered.

Yes! Look, is it obvious?"

After saying that, Qiao Yu spread his hands with a sincere expression.

"Qiao Yu, answer carefully and don't come and go in an obvious way!" Tian Yanzhen, who was standing next to him, said something shameless, probably because he really couldn't lose face.

Qiao Yu was stunned for a moment, then glanced at his mentor, and then decided to be more honest.

"Well, it doesn't seem that obvious. Let's put it this way, there may be a lot of experimental data, and when projected into the modal space, it will have too many dimensions. We can first use dimensionality reduction technology to find the most important characteristic parameters in the data, and use these

parameters as coordinates of the modal points.

Of course, there may also be missing values ​​in the experimental data, so use interpolation, fitting, and other messy methods to fill them in. First, ensure that each modal point can be fully described. Then repeat the previous step to perform the dimensionality reduction operation.

In short, what we want is to systematize the data in the modal space, so that the data can be further screened. Then the low-dimensional projection part is the data we need and has certain rules."

This time Qiao Yu felt that he should have answered in detail. Anyway, the principle was explained very clearly.

If we go deeper, it involves very specific laboratory details and function design of various parameter weights. It will not be clear at all in a while.

Qiao Yu looked at the senior sister across from him who was still frowning slightly, feeling that she probably didn't quite understand how to deal with it.

But this is normal.

No matter how carefully I read his articles, it is impossible to compare with his senior brother Chen, right?

When Chen Zhuoyang's theory was born, Qiao Yu began to teach his senior brother the process of proving the concepts step by step, as well as how to conduct numerical verification.

Even so, when processing laboratory data, he had already introduced all the specific functions. During the specific operations, Senior Brother Chen still called him several times to ask for advice.

Of course, this is also related to the fact that the entire processing process is relatively abstract. Brother Chen happens to be lacking in abstract thinking.

If Senior Sister Zhang Xiao can really understand the idea after listening to him explain the principles, then he shouldn't have never heard of this name at all.

After all, this is Yanbei University, and there is no such thing as such an outstanding person being buried.

"Haha, don't you understand?" Professor Lu asked with a smile.

Zhang Xiao nodded, but he really didn't quite understand.

"It's normal to not understand. The axiom system created by Qiao Yu is inherently abstract. Foreign mathematicians are also very optimistic about this system and it can shine. You have to study hard."

Professor Lu said something about his students, then looked at Tian Yanzhen and said: "Academician Tian, ​​you should also know that Zhang Xiao is the most talented student under me, and he is also very good in all aspects. He has been studying with me these years.

Functional analysis.

Qiao Yu came up with the generalized modal axiom system some time ago, and she was very interested in it. She has been studying it recently, and it happened that something happened in the laboratory. Alas...

In short, this child feels that my method is useless now, and she doesn’t want to learn his new things from Qiao Yu after learning from me. So the main reason I brought her here today is to ask questions. See if I can ask her.

Teacher, haha..."

Tian Yanzhen glanced at Qiao Yu, and then saw a confused face.

Good guy, he really thought that Professor Lu was just here to study how he did it.

In the end, he brought his senior sister to see the teacher?

These professors are too unreliable, right? Lao Xue just asked him to help correct the paper, but this one is better, he just wants to leave all the students to him?

Thanks Yanlan~Fenglai for the reward and encouragement!
Chapter completed!