The Scholar's Grind
Chapter 222

The King of Analysis

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After hearing Liu Cong's words, Xiao Yi showed a helpless expression on his face.

"Don't you think the 20% certainty is very low? And once the project is officially approved, the amount of money invested in it will probably not be less than 10 billion."

Liu Cong smiled and said, "That's nuclear fusion! Calculated according to the level of Karakshov civilization, once nuclear fusion is developed, human civilization can directly enter level 1.0."

"Think about it, in the past hundreds or thousands of years, we have invested no less than one trillion or ten trillion dollars in scientific research, and now it is only level 0.7."

"Now, if we only need to invest tens of billions of money, there is a 20% chance that we can directly improve by 0.3 and become a first-level civilization. Do you think it is worth it?"

Xiao Yi twitched the corner of his mouth. "Then what if you are only 10% sure?"

"It's worth it too."

"Half percent?"

"Just as worth it."

"Zero percent?"

Liu Cong didn't speak, just looked at Xiao Yi.

Xiao Yi laughed, then waved his hands and said, "Okay, I won't talk about the rest. As I just said, if the key research is not completed, there will always be only 00% certainty."

"Only if that critical research can be completed can nuclear fusion have a chance to be realized."

Liu Cong nodded, and then couldn't help but asked curiously, "What is that key research?"

"The first wall material..." Xiao Yi pondered for a moment and said, "But now I prefer to call it fusion energy exchange material."

"This!" Liu Cong suddenly said, "I know this well. It is indeed a big problem. I have always been curious about what kind of materials can withstand high temperatures of hundreds of millions of degrees."

He asked again, "Then... how confident are you now with this research?"

Xiao Yi shook his head. "Well, it's hard to say. This kind of material requires the help of luck to a certain extent. I hope God can give me such luck."

Liu Cong nodded, patted Xiao Yi on the shoulder and said, "I believe that luck has always taken care of you."

"Maybe." Xiao Yi was noncommittal.

To a certain extent, his luck is indeed pretty good. After all, even the cheats have favored him.

At this time, the door of the lounge was suddenly knocked several times. The two turned around and saw Bao Hexin standing at the door knocking on the door to remind them to pay attention.

After all, the scale of this report meeting is relatively large, so the principal Bao Hexin also wants to come and take a look.

Seeing the two people looking at him, Bao Hexin stepped forward, said hello to them, and then said to Liu Cong, "Director Liu, you are here too."

Liu Cong smiled and said, "It's such a big academic conference and there are so many foreign experts. Of course I have to come and see what's going on."

Then he looked at the time and said, "Well, it's not long before the report starts, so I won't disturb Xiao Yi, and I'll go to the auditorium and wait."

He waved to the two of them and prepared to leave.

Xiao Yi said, "Okay, Director Liu."

"Oh, correct me, it's Kardashev scale, not Karakovshaw."

Liu Cong was stunned for a moment, then laughed and said, "It seems that Kalashnikov and I got confused. I understand."

He waved his hand, said no more, and left.

Principal Bao, on the other hand, looked confused and asked, "What did you just say, why did you mention Kardashev scale? What big plan do you have?"

Xiao Yi smiled and said, "Is controllable nuclear fusion a big plan?"

Bao Hexin was stunned for a moment, then laughed dumbly, "Okay, it is indeed a big plan, so I wish you success."

Xiao Yi You can tell at a glance that Bao Hexin is a joke.

Of course, if other people come over, they will probably think it is just a joke.

Just like the fifty years of nuclear fusion, it has evolved into a joke.

As for whether he can succeed or not, only he knows the final certainty in his heart.

"Okay, I won't say anything else. This report will be extraordinary, whether it is for us USTC or for us Fei City."

Bao Hexin said, "It's still 10 minutes until 10:00, so I'd like to wish you success in advance."

He just came backstage to take a look at Xiao Yi. After saying this, he left.

Only Xiao Yi was left in the lounge again.

I thought again about what Liu Cong said just now.

He shook his head with emotion. He really didn't expect that White House in the United States would actually pay attention to his research on nuclear fusion.

Of course, what surprised him even more was that the country was actually willing to take such a gamble.

However, in terms of expectations, this bet of at least tens of billions is still worth it.

Although there is an 80% probability that the return is 0, there is a 20% probability that the return is infinite, so the expected return of this gamble is also infinite.

It's just tens of billions, just spend it.

Of course, since the country is already so optimistic about him, what he can do is to try to improve this 20% certainty to a higher level.

"Professor Xiao, the time is almost here, you can get ready."

At this time, the staff came in and said to him.

Xiao Yi came to his senses, then nodded and said, "Okay, I understand."

He stood up, walked to the mirror, took a look, and sorted out his image.

This suit was custom-made, and it didn't feel baggy at all. Compared with many other very thin scientists, his body shape was relatively well-proportioned. Even the designer who designed his clothes said that he was a good clothes hanger.

Therefore, from an image perspective, he is considered to be at the T0 level among many scientists, otherwise his fans would not be all over the world.

"Well, I'm still handsome as ever."

After saying a few words in his heart, he also left the lounge and prepared to go on stage.

At the same time, more than 2,000 seats in the General Assembly Hall were packed.

Although the official number of participants was less than 2,000, the number of people actually present exceeded this number.

As it got closer to the time when the report officially started, everyone at the scene gradually became quieter, with only a few whispers left.

"There are too many people here."

In a seat near the front row, Xiao Yi's mother Du Xin looked at the surrounding scene and said to Father Xiao Guohua next to her in surprise.

Xiao Yi held a report meeting at Fei City for the first time. As parents, they were also very curious about what the scene was like. Although they had watched it many times through videos and live broadcasts before, it was obvious that what they saw on the screen was more profound than what they felt in person.

Looking at the dense crowd of people around them, including quite a few foreign faces, and thinking that so many people came here from all over the world just to attend their son's report meeting, the parents were deeply shocked.

This time they really felt how powerful their children had become.

"Tell me, how did our son become so smart? Who inherited it?"

Du Xin poked Xiao Guohua and asked in a low voice.

"That must be my genes. If my family hadn't had much money back then, I would have been a top student who returned from overseas. Think about how valuable returnees were at that time!"

Xiao Guohua said.

Du Xin glanced at him with disdain. "Shameless! We both graduated from the same university back then, and I don't know your grades?"

Then she recalled the genealogy of Lao Du's family and said, "I think I still inherited my genes. My ancestors have produced Jinshi."

Xiao Guohua rolled his eyes and said, "The ancestor of my Old Xiao family is still descended from Xiao He."

The couple started fighting over who would inherit their son's IQ.

But not long after, the time reached 10 o'clock, and a person walked onto the podium, it was Bao Hexin.

He was regarded as the host of this report meeting.

"Ladies and gentlemen, good morning, everyone. I am University of Science and Technology of China, principal Bao Hexin, and I will serve as the host of this report meeting."

"NS equation's charm in academia has always been at the forefront. I can see that from the many international friends who came to the scene."

"The existence and smoothness of the NS equation solution, as one of the Millennium Prize Problems, are also the last problems of classical physics, and have always been important issues that the mathematics and physics communities are competing to solve."

"It is not only an important issue in the field of mathematics, but also related to all aspects of reality. All research related to fluids is closely related to it."

"In the past, we thought we were still far away from solving this problem."

"But luckily, we have Xiao Yi!"

"First, the emergence of the blasting trend theory explained the formation principle of blasting cracks, thereby explaining the singularity problem in partial differential equations."

"Then came the birth of a brand new function space - Xiao's Space, which completely put an end to the NS equation problem."

"Solving an important mathematical problem often requires the development of new mathematical tools, and Xiao Yi is undoubtedly a success."

"Well, I think everyone can't wait to hear Xiao Yi share his two mathematical tools and his proof ideas, so let's invite Professor Xiao Yi!"

The side door was pushed open and moccasins came out, accompanied by the sound of footsteps.

Xiao Yi finally came out.

Applause burst out immediately.

"Our son is so handsome."

In the audience, Du Xin looked at Xiao Yi's outfit, applauded and praised.

"Inherited from me." Xiao Guohua said.

"My son looks like my mother." Du Xin rolled his eyes.

"Tsk, why do you feel that he has become more handsome than before?"

On the other side, Terence Tao looked at Xiao Yi who came out and couldn't help but say something.

"If he hears you say that, he will definitely be very happy." Shing-Tung Yau smiled.

"I have become more mature than before." Feierman commented.

"That's right." Terence Tao nodded.

Looking at Xiao Yi, he seemed to see the same high-spiritedness when he was young, but now he is 49 years old, and he will be 50 next year, and he will not be many years away from entering old age.

The applause became more and more enthusiastic. In addition to the scholars, there were quite a few students. Whether it was USTC, or Hui University, or Fei City University of Technology, many students came here. They were probably the most excited people on the scene. After all, others may have come for the report, but they were all fans of Xiao Yi.

On the stage, Xiao Yi walked vigorously to the middle, nodded to Bao Hexin, and the latter left the podium and returned to his seat.

Xiao Yi bowed slightly to those present, raised his head, and pressed his hands, indicating that they could stop applauding.

Soon, the applause stopped.

"Hello everyone."

He said, "First of all, on behalf of myself, I would like to welcome everyone to Fei City. Fei City is a city with a history of more than 2,000 years and has a long heritage. I believe that every friend who comes to Fei City will not be disappointed with this city."

Well, this passage was an advertisement that someone from the government asked him to read.

"Then, no more nonsense, this report will officially begin."

As he operated, the PPT flipped.

The subject of this report then appeared on the big screen behind him.

[Existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equation]

"When we take a boat and meander on the lake, the waves follow our boat, and the water flow fluctuates, forming a wake; when we fly in a modern jet aircraft, the turbulent airflow follows the aircraft, not only providing us with lift, but also providing us with forward force."

"Mathematicians and physicists believe that by understanding the solution to NS equation, explanations and predictions of breezes and turbulence can be found."

"Even though these equations were written down in the 19th century, our understanding of them remained poorly understood for a long time."

"And the first problem lies in the issue of singularity."

The PPT page turns again.

On this page, singularity is explained in detail.

"The reason why it is called singularity is because it is very strange compared to physics, or in other words, it cannot occur in the physical world."

"In PDEs, this can manifest itself as solutions tending to infinity, discontinuities, unboundedness of derivatives, or solutions being undefinable at certain points or regions."

Xiao Yi picked up the cup he brought aside and said, "It was as if this cup of water suddenly exploded."

"But obviously, unless there are superpowers in this world, this kind of thing is absolutely impossible to happen."

Speaking of this, Xiao Yi recalled his original idea and joked, "Perhaps, if someone really has superpowers, maybe the principle of his ability is to have the ability to manifest explosive decomposition into reality?"

There was laughter in the audience.

"Well, it is undeniable that the singularity has had a considerable impact on our proof of NS equation, so much so that we had to choose a special initial condition when we were proving it."

"It doesn't have so many weird properties, it has to be absolutely smooth and ideal."

"But as everyone knows, I started out as a mathematician."

"Perhaps the thinking of a mathematician has influenced me, so I feel that the initial conditions designed in this way are not beautiful, or elegant, so I think that finding the formation principle of singularity will help me."

While talking, Xiao Yi dragged the small blackboard that had been prepared to the front and began to write formulas on it.

"First, let's construct an energy inequality."

∫_Ω(1/2∣u∣^2)dx+ν∫(T, 0)∫_Ω∣u∣^2dxdt=...]

"This energy inequality will provide a key a priori estimate for subsequent analysis."

"As mentioned in my paper on explosion trend theory, I constructed some relatively sophisticated mathematical models. Under the analysis of this sophisticated mathematical model, the details of fluid changes can be clearly displayed during the direct numerical simulation process, so that we can use these changing data to conduct more detailed analysis."

"Although it must be admitted that this is a stupid method, I have to say that its effect is very significant."

"Through a large number of Data Analysis, I discovered the characteristics of explosive cracking."

"Next, I will use a relatively obvious set of data to show my analysis process."

Then, Xiao Yi began to write on the blackboard.

Off the court, quite a few people suddenly became attentive.

How Xiao Yi analyzes those data has always been a curiosity in academic circles.

But in his original paper, he only presented the analysis results without showing the specific process.

And now, can his analysis method finally be demonstrated?

For a moment, even Terence Tao paid full attention.

This analysis method can analyze the characteristics of blasting cracks, so it will inevitably play a huge role in other aspects of Data Analysis.

What you need to know is that a key step in the method of direct numerical simulation is data analysis.

And soon, their eyes couldn't help but widen.

Because, Xiao Yi's analysis method is so dazzling!

"That's the smell..."

Tao Zhexuan sighed and leaned back on the back of the seat.

"He is the only one in the world who can achieve such analytical skills and thinking, right?"

Feierman next to him couldn't help but said, "I can't do it anyway, whether it's me now or me when I was young, otherwise, I might have solved this problem long ago."

Shing-Tung Yau has the same feeling.

Seeing Xiao Yi peeling off so much complex data, completely revealing the details inside, including those features that led to the formation of explosive cracks, were also extracted by Xiao Yi. In addition to being amazed, he felt relieved.

Although China has still not made much progress in basic mathematics, with such a young man, it is basically enough.

This analysis did not take Xiao Yi too much time.

What seemed like a show off to others was as simple as eating and drinking to him.

Soon, he stopped the blackboard pen in his hand, turned around and said, "Okay, that's basically it."

"In short, by analyzing a large amount of data to find out the blasting characteristics, we can get an inequality."

"Then we can judge based on this whether explosion will occur under the current initial conditions."

"I also call this a blast trend."

"I will not go into details about the analysis of other more data. Using my analysis method, it will be easy to analyze. Of course, this method can also help with other data characteristics, but this requires joint exploration by the academic community."

Xiao Yi stopped for a moment to give the people present some time to absorb the information.

Picking up his water glass, he took a sip of water, and then he continued, "Okay, now that we have solved the problem of singularity."

"Then it's time to officially target the problem of NS equation."

"Just like Professor Terence Tao also mentioned in his blog, after we complete the interpretation of the singularity problem, we seem to be able to try to prove NS equation from more general initial conditions."

"As a mathematician, I am naturally more inclined to this method of proof."

"The more general it is, the more abstract it is. The more abstract it is, the more general it is."

"Then how to choose the appropriate function space at this time has become a key issue."

Xiao Yi smiled slightly, "Obviously, the various function spaces at present cannot help us adapt to the explosion trend theory well."

"We needed a more appropriate space."

"The question is, what kind of function space is the most suitable function space for NS equation?"

Xiao Yi turned around, erased all the previous Data Analysis processes on the blackboard, and then started analyzing the function space again.

This time the analysis is more complex and abstract than the previous analysis.

At this time, it can no longer be simply called a show of skill, but a brand new analysis system.

Looking at those wonderful analysis steps, Terence Tao spread his hands.

"The only one who can defeat Xiao Yi is probably himself, right?"

Feierman said, "He is the king of analysis!"

End of Chapter
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